diff --git "a/data/dm_maths/full_data_1/1164_11255.jsonl" "b/data/dm_maths/full_data_1/1164_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1164_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 65884?\nAnswer: 2, 7, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 367135034 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1671479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 327, 567, 899, 1353, 1959, 2747, 3747?\nAnswer: 4989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 12 = 2*l, -l + 3*y = -7 - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/(i**(-1\/9)\/i)*i)\/(i*(i**(2\/23)*i*i)\/i))\/(i**(8\/9)*i**21*i))**(1\/3) assuming i is positive.\nAnswer: i**(-4112\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*s**2 + 368*s**2 - 147*s**2 - 99*s wrt s.\nAnswer: 538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 + -107.46. Let i = -0.54308 + m. Round i to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66144, -265663, -598194, -1063737?\n\"Answer: -66506*q**2 - q + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 plus -156578?\nAnswer: -156585.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*n = -101*n + 3*f - 7, -3*f - 7 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*-2*sqrt(13))**2 + -2)*-4.\nAnswer: -5187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.01042168 rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*u**5 - u**4 - 161472*u**2 + 3*u + 69847?\nAnswer: -600*u**3 - 12*u**2 - 322944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -5*k. Suppose 3*f - k*n + 7 = -f, 18 = -3*f - 2*n. Let d be (1 - f)*(-30)\/(-6525). Is d bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 55*h - 1248.\nAnswer: -(h - 78)*(h - 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(95) - (sqrt(95) + (sqrt(95) - -1*sqrt(95)))) - sqrt(95))\/(sqrt(60)\/sqrt(1728)).\nAnswer: 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:29 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 11. Let d be i(-8). Suppose k + 10 = -d. Let c be -2 + 6\/k*-5. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16955882.\nAnswer: 2, 8477941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 602698578 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7605 minus 8.981?\nAnswer: -9.7415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -30. Let y(w) = -w**3 + w**2 + 12*w - 9. Let u be y(i). Let t = u + -21. Solve -t*o = 2*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 5*f - 6. Let b be y(7). Let v = b - 6. Let h(n) = n**2 - 2*n + 1. What is the units digit of h(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 493951062 to the nearest integer?\nAnswer: 22225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 10:30 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524548*p + 262242*p + 262303*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from qexjwtex?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w - 538 + 249 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 109 = 20*p - 4*x, -5*p + 0*p + 10*x = 55 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -2*k. Are k and 6\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*1*(((sqrt(396) - (sqrt(396) + -4 - sqrt(396))) + -1 + sqrt(396))**2 + (-4*-2*sqrt(396))**2)*2.\nAnswer: -53871 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -12. Suppose u*o + 262 = 21*o. Calculate the remainder when o is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 424113, 1696621, 3817475, 6786681, 10604245, 15270173, 20784471, 27147145?\n\"Answer: p**3 + 424167*p**2 - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8 = 0, 2*a + 106*j - 107*j = 6394. What is the highest common divisor of a and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -4*r - 1173. Let o be r\/20 + (-3)\/15. What is the units digit of (-342)\/(-42) - (-2)\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h*h)**(-6))**23 assuming h is positive.\nAnswer: h**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141240.\nAnswer: 2, 3, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, m: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -684029 - -146?\nAnswer: -683bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31)\/4*(-60)\/(-15). Let q = 35 + y. Sort -6, q, 0 in descending order.\nAnswer: q, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + n - 6 = -21*b, 3*n = -b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*g**3 - 51 - 306*g**3 + 164*g**3 + 24 + 27.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4266 at least -3387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 divided by 7?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1513368 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 707 and 959?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -130\/7 - -2224\/119. Which is the nearest to 10\/21? (a) o (b) 5 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 105*q**4\/4 + 252*q**3 - 406. Find the third derivative of k(p) wrt p.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-16 + 10 - 2) + 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -194274804, -194274802, -194274800, -194274798, -194274796?\n\"Answer: 2*b - 194274806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -14*p + 18. Let k(m) = 229*m + 11. What is the units digit of k(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-73)\/15 - 6\/45. Calculate the remainder when j\/(-20) + (-1414)\/(-8) is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.2093*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -1.4. Let w = l + -10.6. Let s = -9 - w. Which is the third biggest value? (a) s (b) 0.08 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1751 (base 12) to base 3\nAnswer: -10211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13\/9, -19, -9, -3\/14, -0.3 in ascending order.\nAnswer: -19, -9, -13\/9, -0.3, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28 and -83\/5088.\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 104*o + 130 = -137*o, 19 = -f - 5*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + r - 3 - 13 = 6*r + 42, 3*r - 573 + 603 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 35, -2 in ascending order.\nAnswer: -2, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 59 - 47 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -464 + 765. Is y a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 84.3, 0.3, 1\/20580, 0?\nAnswer: 1\/20580","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/7139 and -48\/3245?\nAnswer: 35695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 6*a + 105 = 0. Solve -a*i + 21*i - 24 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 4)*(-x + x - x) - x - 4*x + x + 3*x - 3*x + 2*x)*(-30*x**2 + 60*x**2 - 32*x**2 + 27).\nAnswer: 12*x**3 - 162*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.8627959 and 0.438.\nAnswer: 1.3007959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 289.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 10*p**2 - 3*p + 7. Calculate a(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**25\/((m\/(m\/((m\/m**(1\/17))\/m)))\/(m**(-1\/29)*m)) assuming m is positive.\nAnswer: m**(-10810\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -392, 3, -1, 20 in descending order.\nAnswer: 20, 5, 3, -1, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(1800) - sqrt(1800) - sqrt(1800))**2 + 5.\nAnswer: -180*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -26*y + 43. Give c(-2).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 51. Suppose v - d*v = -1952. Let r = -120 + v. Solve 3*a = r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 3*u + 5*u + 12. Suppose -d = w - 28, 0 = -2*d + 6*d - w - 92. Suppose -d*h - 35 = -19*h. Calculate g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 172 = -52*l. Sort -124, l, 4 in increasing order.\nAnswer: -124, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 (base 5) in base 2?\nAnswer: 100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1487746538 to the nearest integer?\nAnswer: 38571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-47616)\/(-896)*(-14)\/(-9). Which is greater: k or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:47 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 + 3*s**2 - 2*s - 2. Let c(x) = x**3. Let u(q) = 3*c(q) - l(q). Let w be u(-4). Solve -5*m - 5*p = -w, -4*m - 2*p + 0*p + 10 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*u + 184 - 90 + 24*u**2 + 199*u**3 - 95 - 197*u**3 to the form w*u**3 + g + k*u**2 + m*u and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 639 - 324. Suppose -3*c + x = -d, c - d + 55 = 162. Suppose -100*l + c*l + 4 = 0. Is l less than 3\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 2*q**3 + 0*q**2)*(0 + 5 + 1).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 not equal to 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 + 2 + 12)*(0*i**3 - 2*i**3 + 5*i**3)*(5*i**2 - 41 + 41).\nAnswer: 1035*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4588)\/222*(-20)\/(-8)*(-6)\/10. Solve 0 = h + q - 2, -u*q - 14 = -4*h - 33*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 17666.\nAnswer: -39\/17666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17152 and 512?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2869864662692*k - 3*k**3 + 2869864662692*k.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 25116\nAnswer: -200928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313136 is divided by 161.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 6219\nAnswer: 24876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in years?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1541 in -0.4, -17, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232752.\nAnswer: 2, 3, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/10*(-3)\/36. Which is the third smallest value? (a) 5 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31741225 is divided by 3230?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*u = -14, -209*u + 14 = -211*u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 3)\/(15\/8 + -2). Let l(c) = 11*c - 10. What is the units digit of l(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036572 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/4 - 873*k**2\/2 - 84681*k - 5476038.\nAnswer: -3*(k + 194)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + (-323)\/(-38).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 1\/6*b**3 - 2*b**2 + 0 + 3*b. Differentiate r(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1050 = -267. Let a(b) = b**2 - 20*b + 104. Let i be a(5). Calculate the greatest common factor of v and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 7 = o, -2*j + 3 = -o - 0*j. Let v = o - -35. Is (v\/8)\/(2\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-272)\/68 + 1 + 0*(-4)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - d**5 - 2*d**5 + (-2*d**4 - 6*d**4 + 7*d**4)*(-2*d + 5*d - d)*(-2 - 4 - 2)*(-2 + 4 + 0).\nAnswer: 30*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Let c be u*(15\/20 + -3). Let z be (-21)\/c - 4\/(-6). Solve z*s + 3 + 12 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*r - 92*r - 8. Suppose 3*p - r = 13. Put 1, p, 9, 2 in increasing order.\nAnswer: 1, 2, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*o + 27, 33 = 3*o - 0*o - g. Suppose -2*r + o = -6. Let v = -99 - -112. Calculate the smallest common multiple of v and r.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -7 (c) 5 (d) -0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17350+-0.3\nAnswer: 17349.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16*k - 11. Let a(u) be the second derivative of u**3\/2 - u**2 + u. Let z = -59 + 53. Determine z*b(c) + 33*a(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/6 - i**3\/2 + i**2 + 619*i. Give s(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3576070 or 3576123?\nAnswer: 3576070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 10*l - 1. Let o be w(10). Let m = -1.3 + -4.9. Let g = m + -11.8. Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**5\/20 + 7*z**4\/12 + 5*z**3\/3 + 2*z**2 + 2*z - 3. Let g be j(-5). Solve g*w = 3*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o - 15*o + 19*o**2)*(-12 - 6*o + 12) - 2*o**3 + 14*o**2 - 9*o - 14*o**2.\nAnswer: -116*o**3 - 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/11 (b) 5 (c) 12 (d) 0.2 (e) -0.2 (f) 0.0864\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181476*n**2 + 12*n + 4398 wrt n?\nAnswer: 362952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010975412 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 - 3005*j**2 + 132 + 129.\nAnswer: -3005*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 4, 13, 26, 43, 64, 89?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 1921.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/552 and 20\/((-640)\/(-3144))*(-22)\/(-3465).\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1757*g**3 - 1750*g**3 - 1679*g**3 - 1757*g**3 + 6942*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*(-2 - (-32)\/24). Let u(f) = -f**2 + 1. Let s(b) = 4*b**4 + 16*b**3 + 24*b**2 - 8. Let v(g) = r*s(g) + 8*u(g). Factor v(d).\nAnswer: 4*d**2*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 78. Suppose w = -w + l + 7, 0 = -w - 2*l + 1. Suppose -5*g + 32 = -w. What is the remainder when x is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -539 + 546. Suppose u - 6*u - 2 = -4*k, -4 = 4*u - 4*k. Calculate the remainder when p is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3)\/(-4) - (39\/7)\/((-56)\/(-294))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0253 + 3.0253. Which is the second smallest value? (a) p (b) 4\/3 (c) 16 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/81*(60\/9 + (-2)\/3). Let y = -0.06 + 0.46. What is the biggest value in 2\/99, 2, y, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (-52 - 12) - (-4 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -30. Let n(o) = -o**3 + 5 + 13*o - 7*o + 2*o**3 - 5*o**z. What is the tens digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4006 + 12014. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*t + 13 = -4*t, 0 = 5*t + 25. Suppose -3*n + 6 = -11*v + f*v, 5*n = 20. Sort v, 34, -3.\nAnswer: -3, v, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33485 + -27028. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244660*d**2 - 244660*d**2 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.047, -1\/11, -15, 1\/2867?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -6, -4 in descending order.\nAnswer: -4, -6, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u - 2. Suppose -3*w + 0*b + b = 4, -22 = -w + 5*b. Give l(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*h - 2. Let s be (-22)\/h - 2\/3. Let t(w) = w**2 + 9*w + 11. Let k be t(s). Solve 0 = 4*r - r - k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) - (sqrt(1573) + 2 + sqrt(1573) + -4)) + -4*sqrt(1573)*-5)**2 + -2.\nAnswer: 836*sqrt(13) + 567855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h = -5*g - 126, -5*h - 5*g + 315 = 0. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*18\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3994460 - 12116*y + 3994460 to the form c + g*y and give g.\nAnswer: -12116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1526330 divided by 305266\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -59*l + 61*l. Let q(h) = 2*h**3 - 11*h**2 + 13*h - 30. What is the tens digit of q(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 3*j**2 - j**2)*(2*j + 0 + 0) + 3*j**3 + 8*j - 8*j + j - 3 + 5 - 13760*j**3 + 13742*j**3.\nAnswer: -11*j**3 + j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - c + 5*c - 13, -4*s - 7 = -c. Sort 1, -2, s in descending order.\nAnswer: 1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 1940*l - 3443. What is the remainder when s(10) is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) 2\/39 (c) 0.5 (d) 0 (e) -0.08 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 57 = 27 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1294*-0.4\nAnswer: -517.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y - 52. Determine b(18).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -34*l**2 + 9*l + 34. Let n(d) = 27*d**2 - 12*d - 34. Determine 4*c(s) + 5*n(s).\nAnswer: -s**2 - 24*s - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 + j**2)*(3 + j - 3 - 2*j - 2*j + 3*j + 3*j - 5*j + 3*j + (2*j + j - 4*j)*(1 - 3 + 1)).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 99*s + 61*s + 32*s + 43.\nAnswer: 192*s + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4822 bigger than 635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -7. Let l = y - 1. Let u = -5 + l. Solve 5*j - 2*a = 16, 2*a + 4 = u*j - 2*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/17)\/u*u*u*u**3)\/((u**(-2\/13)*u)\/(u*u**1))*((u\/u**(-2\/17))\/u*u**(-6))**(-10) assuming u is positive.\nAnswer: u**(14113\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 16*b - 18 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3 - 8)*(-3*w - 2*w + 6*w) + 16*w - w - 5*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -15. Let h(f) = 3*f - 3. Give h(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3181832 is divided by 1047.\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 10:32 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6354 - -6355. Which is the biggest value? (a) 1\/4 (b) z (c) 4 (d) -0.4 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1594? (a) 4 (b) -5 (c) 2\/11 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2141\/5 + 429. Does 0 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q. Suppose 5*l - l - 12 = q. Suppose 2*o = 4 + 6. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 6*a + 1. Let q be n(4). Let s = -5 - q. Solve -4 = 3*r - s*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/9 - 1*-2. Does 6 divide 126\/t*8\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/39 in -0.2, -10, -3\/32?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -x. Let s(f) = -2*f - 6 + f + x*f. Give s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35866 = 2330*f - 176164 for f.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 3*v + 3. Let g be x(-2). Solve 4*o - s - 2*s = -g, 11 = -3*o - 5*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 15*t**2 + 13*t - 14. Let n be b(-14). Determine s so that -7\/2*s**2 - s + n = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q**3 + 3*q)*(-3*q + q - q) - 8 + 8 - 4*q**4.\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 3:49 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 486 - 485.9993. Let t = 0.0007 - z. Let m be ((2 + -1)\/(-1))\/(-3). What is the closest to t in m, 5, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 704882465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(1\/4)\/h)))\/h*h*h**(6\/5)*h**(-1\/11)\/h**(-4\/5))**28 assuming h is positive.\nAnswer: h**(357\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -86*j + 27172. Give b(316).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.001898406 to 6 decimal places.\nAnswer: 0.001898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqcqqqcqqqqq?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 247150 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 - -132. Let j(v) = 7*v + 130. Calculate the smallest common multiple of 50 and j(d).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111042492 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q**3 - 1. Let s(c) = -c - 8. Let i be s(-9). Calculate the least common multiple of 2 and d(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 9*s**2 + 14*s - 2. Calculate v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1. Let z be n(-1). Let k(a) = 2*a**3 + 121*a**2 + 57*a - 177. Let m be k(-60). Solve -z*p = -m*p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.5 (c) 0.14 (d) 0.5 (e) 0.2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 + -253. Which is the biggest value? (a) -0.06 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(sqrt(156) - 1*sqrt(156)))\/(sqrt(480)\/sqrt(90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4355 + -4356. Which is the closest to 3? (a) i (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edy when three letters picked without replacement from {e: 5, p: 1, d: 1, y: 3, g: 3}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 19*m + 0*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 10*n - 1. Let q be h(10). Let p = q - -3. Suppose p*a + 0*a - 40 = 0. Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccku when four letters picked without replacement from {c: 2, m: 1, k: 1, u: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11266099603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -60 + 7 + 41*t - 33*t - 26*t. What is the remainder when h(-7) is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-80)\/100*(15*-5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4 - 1. Let k be f*3*(-1)\/(-9). Which is the third biggest value? (a) -0.2 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o + 3*z - 876, -o = -5*z - 192. Suppose 4*v = -q + 3*q + 112, 0 = -4*q - 2*v - 194. Let i = o - q. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68 - -49) + 60 - 59.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -910bb82 + 2?\nAnswer: -910bb80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 12. Calculate the remainder when 57 is divided by y(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 3. Differentiate -a**3 - 114 + 108 + 4*a**d wrt a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/10 + 12\/(-20) + 4. Let n(p) = p**2 + 13*p - 2. Let t be n(-13). Sort t, j, -14.\nAnswer: -14, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-2 + 2))*-1. Suppose 2*z = -6, z + 3*z = 2*w - 12. Suppose -i + 2*c + 5 = g, -3*c + w*c = -5*i + 11. Solve i + 11 = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7457.733 rounded to 0 dps?\nAnswer: -7458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/54*2\/10. Let p = -0.81 - 0.19. Which is the smallest value? (a) 0.1 (b) 2\/7 (c) i (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19664 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 3777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55503122*s**2 - 20124224*s + 3 wrt s.\nAnswer: 111006244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11379 = -k + 4*g, k + 122*g - 118*g - 11339 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**2 + 3*a + 1. Suppose 29*m - 51*m = 44. What is g(m)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794*g + 603 - 599 - 4692*g.\nAnswer: -2898*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in -1\/7, 1014\/245, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77297943.\nAnswer: 3, 25765981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5 = -7*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 220?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -3*c**5\/5 - 9*c**4\/2 + 81*c**2 + 243*c - 531. Factor z(p).\nAnswer: -3*(p - 3)*(p + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3436892.71 rounded to the nearest 10000?\nAnswer: -3440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**2\/2 + 8*q - 868. Suppose -3*j - 18 + 0 = 0. Let x(h) = -h**3 - 7*h**2 - 7*h. Let w be x(j). What is l(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -2\/3*h**3 + 18*h + 2 + 8*h**2. Determine g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259424390*l - 5*l**3 - 259424390*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53526 and 42.\nAnswer: -2248092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - 4*b**3 - 10*b**3 + 2*b**4 + 8*b**3 + 5*b**3 to the form d*b + s*b**4 + y*b**2 + h*b**3 + j and give j.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 454, 61061 in decreasing order.\nAnswer: 61061, 454, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89.205 + 0.205. Let u = 89.0057 + a. Round u to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 + m - 1. Let d(l) = 5*l**2 - l + 1. Let a(z) = 5*d(z) + 6*k(z). Give a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9749.\nAnswer: 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - d + 24 = 0. Let k be d + -5 - (-72 - -57). Solve 0 = -3*v - k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-3 - (1 + -3)) + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113948 and 1965603.\nAnswer: 7862412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 1470595923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -724*f**3 - 5*f**2 + 15*f + 22. Let b be v(-7). Let s = b + -527004. Round s to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**2*z**2 + 92446561*t - 3894818*z**2 + 5*z - 1 with respect to t.\nAnswer: -4*t*z**2 + 92446561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*j**5 - 68*j**4 + 13*j**3\/2 + 75*j**2 - 34*j + 4 = 0. What is j?\nAnswer: -2, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 414603.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 144*a + 795.\nAnswer: -3*(a - 5)*(a + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/10)\/((-4)\/(-21380)). Suppose z + 3509 = 14*g. List the prime factors of g.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046155 rounded to 4 dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11001011110111 (base 2) to base 8\nAnswer: 31367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 101*q**2 + 386*q + 655. What is u(-54)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 283, 248, 213, 178, 143?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -244677 and 431535.\nAnswer: 186858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -39 (b) 4 (c) -4 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 891 - 891 + p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -24*a**2 - 919*a + 669. Determine c(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4 - 3)*2\/(-3). Solve 2*c - z = 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-50)\/(-30))\/((-8)\/(-6)*2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by -1.\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -123*20\/(-90) - (-4)\/(-3). Suppose -10*r + 5 = -9*r. Solve 0 = -3*d + r*s + 31, -2*s + 6*s + z = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 = q, -3*d - d = -2*q - 4. Suppose -21 + 21 = q*u. Suppose u*b + 8*b = 8. Solve -3*x - 1 = 4*k, x - b = 2*x + 2*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1372) + -2 - (-2 + -3 + sqrt(1372) + sqrt(1372) + sqrt(1372)))**2 + 4)*2 + -1.\nAnswer: 10983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -1\/10*w**5 + 0*w - 6*w**2 + 0*w**3 - 1\/42*w**7 + 0*w**4 + 0*w**6 + 0. What is the third derivative of p(t) wrt t?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*sqrt(847)*-5 - (4*(-5*sqrt(567) + 1))**2.\nAnswer: -226816 + 1275*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -44, -91, -170, -293, -472?\n\"Answer: -2*q**3 + 2*q**2 - 19*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.83278 milligrams in kilograms?\nAnswer: 0.00008583278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48579 - 96915107\/1995. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/459 + 944\/5967. Find d, given that j*d**4 + 0*d**2 + 0*d + 0 - 2\/13*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.51007 + 0.05217. What is t rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -26 + 30 + (7 - -1)*66. Suppose -2*r + i = -6. List the prime factors of r.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (29\/(-3))\/(425\/15 - 10) and -31\/99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6734, -3\/4, 16, 5, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f - 6*f - 64 = -3*x, 0 = -3*f - 5*x + 103 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4*o*u - 120*h**4*o - 16*h**3*u + 8*h**2*o*u - 6*h**2*o - 6*h**2 - 2*h*o wrt h?\nAnswer: 48*h*o*u - 2880*h*o - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10143 + 16970. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3543*u**4 + 64*u**2 + 14*u + 17. Let w(x) = 3543*x**4 - 65*x**2 - 13*x - 15. Let h(p) = 8*r(p) + 9*w(p). What is the third derivative of h(l) wrt l?\nAnswer: 85032*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 17\/32, 5, 0, 2, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**3\/2 - 3*y**2\/2 - 3*y. Let f be c(9). What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 8 - 31\/3*r**3 + 0*r - 89*r**2. What is the second derivative of d(o) wrt o?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 3186.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 146?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:07 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96 + 104)*2\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 7) to base 3.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505424597 to the power of 1\/2, to the nearest integer?\nAnswer: 38800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 2005\/15)\/(12\/(-504)).\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293396471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3275.5704282218 - -0.5.\nAnswer: -3275.0704282218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -772.87724 - -771.46. What is q rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f*f\/(f*(f\/f**(-2\/47))\/f))\/f)*f)**27 assuming f is positive.\nAnswer: f**(1323\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 50538*p - 151632.\nAnswer: 2*(p - 3)*(p + 25272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 1\/364637 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 28778 + 78792. Let d be 2\/7 + f\/14. Let t = d + 963. Round t to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, i: 9}. What is prob of sequence cicc?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 6*m**2 + 3*m - 4. Let x(k) = -5*k**3 + 17*k**2 - 9*k + 11. Let d(l) = -8*j(l) - 3*x(l). Let n be d(-4). Sort -2, -3, n in increasing order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1384 and 4776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 54*m**2 - 814*m**3 - 52*m**2 + 1637*m**3 - 821*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 605\nAnswer: -2\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207518 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(3\/(-6) - -1). Suppose 0 = 3*s - 4*s - h. Find the common denominator of -64\/9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6710*d**3*m**2 - 3*d**3 - d*m - 11*d + m**2 - 195*m wrt d?\nAnswer: -40260*d*m**2 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207536, 415198, 622872, 830564, 1038280?\nAnswer: 1246026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37245, -74497, -111751, -149007, -186265?\n\"Answer: -z**2 - 37249*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3442.693ug?\nAnswer: 0.000003442693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2 + 2275\/130.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (371\/(-477) - ((-4)\/4)\/((-15)\/(-5)))*-9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**3 + h - 3. Let r(f) = -f**3 + 9*f**2 + 23*f - 14. Let t be r(11). Let a(z) = -9*z**3 - z + 6. What is t*a(o) - 5*w(o)?\nAnswer: 2*o**3 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 56. Let f be y(-11). Let o be (-11)\/(-12) + (-1)\/(-6)*-1. What is the nearest to f in -1, o, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25133.\nAnswer: 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 24 + 36 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-4)\/(-14))*24\/(-28)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*(-972)\/1620*10\/(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552718 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 45 = -4*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 36. Let p(m) = 4*m + 6 - 22*m + 14*m - m**n. Let c be p(-6). Let f(x) = -x**2 - 5*x + 3. Give f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/((-1)\/((-5)\/(-26)))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -44558*w**2 + 10*w - 8. Let c be v(3). What is c rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131340 (base 5) to base 14\nAnswer: -1c8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(567) + (1*sqrt(567) - sqrt(567))) - (sqrt(112) + 0)) + 0 + sqrt(28)\/sqrt(4) + sqrt(7) + (sqrt(126)\/sqrt(3))\/sqrt(6) + 4.\nAnswer: -9*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -878\/7403?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -3. Suppose -4*r + y*r = 2. Solve 5*u + p + 10 = 0, r*p - 13 = u - 0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37985653 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-2)\/(-4)*-4). Let s be d + (-2)\/(-1) - 10. Let i be (1\/3)\/((-6)\/(-90)). Sort s, i, 0 in descending order.\nAnswer: i, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 462 = 5*g, -2*g - 2*i - 46 = -226. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/14)\/((-2)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aii when three letters picked without replacement from {i: 3, a: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwm when three letters picked without replacement from fxcwfmf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*p**2*x**2 - 450*a*p*x**3 - p**2*x**3 - 149*p**2*x wrt a?\nAnswer: p**2*x**2 - 450*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 12) in base 2?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -238*n**2. Let u(w) = -11*w**2. Give u(l(d)).\nAnswer: -623084*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -2. Let y = 29 - 43. Let z = y - s. Put 2\/11, 2, z in decreasing order.\nAnswer: 2, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190 + -10. Let b = -181 - n. What is the greatest common divisor of b and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6545 - -6581. Calculate the highest common factor of b and 4068.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 42607.94m?\nAnswer: 42607940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2008 and 90996536.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-1.1.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3141, 3364, 3587, 3810, 4033?\nAnswer: 4256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/60 - a**4\/8 + 20*a**2. Calculate q(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2. Let u(t) = 148*t**2 + 48. Let d(c) = -4*l(c) + 2*u(c). Differentiate d(q) with respect to q.\nAnswer: 592*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -11.88. Let d = 0.02 - z. Let m = -6 - -5.5. Put d, m, 13 in ascending order.\nAnswer: m, d, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/14 - 6\/21. Let j = 4.1 - 1.1. What is the third smallest value in j, a, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 7, 2\/3, 486.3, -10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**2. Let v(w) = 6*w - 5*w + 0*w. Calculate r(v(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107417, -215029, -322641, -430253, -537865, -645477?\nAnswer: -753089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145552, 291102, 436652?\nAnswer: 582202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = z - 5*h, -2*h + 150 = z + 44. What is the highest common factor of z and 2618?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3311130 - 31?\nAnswer: 3311033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -114*f - 28. Let i be v(-20). Suppose -3*p = p - i. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 - 667 = -8*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7607596998 to the nearest 100000.\nAnswer: 7607600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 456*k + 461*k = 337, 5*q = -0*q + 5*k - 330 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - s - 1. Let d(o) = 3425*o**2 + 3*o + 3. What is d(w) + 3*g(w)?\nAnswer: 3419*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1249092 and 28574.\nAnswer: 8743644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*v - 212 - 239. Solve 2*w - 3*s - v = 7*w, -w - s = 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -31, -66, -135, -250, -423?\n\"Answer: -2*q**3 + q**2 - 2*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22918 take away 0.062?\nAnswer: -22918.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 55286.\nAnswer: 71871.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)*(b\/(b*b**(-3\/4)*b))\/b)\/(b*b**(-2\/7))**(-1\/3) assuming b is positive.\nAnswer: b**(-757\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**6*f - 20*d**4*f + 3*d**3*f**3 + 49*d**2*f**3 + 3*f**3 wrt d.\nAnswer: 360*d**3*f - 480*d*f + 18*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 255941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -33*k. Let g(m) = -116*m**2. Determine j(g(l)).\nAnswer: 3828*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g. Let p(m) = 42836102*m. What is d(p(l))?\nAnswer: -257016612*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 18*v - 190. Give c(17).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-12) + (-21)\/6. Let u(o) = -2*o**3 - 8*o**2 + 4. Let a be u(c). Solve a*r + r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-7)\/(((-23)\/(-92))\/(1\/(-12))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 + f + 9. Let u be a(0). Suppose -2*i = i - 3, -2*z + i = -5. Solve -3*g = k + 3*k + 17, g + u = -z*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 926992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/805 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 4271 and 4271 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 15*x. Let r be d(4). Suppose 3*c = -0*c - 3*y + r, -y + 1 = 0. Differentiate c + 22 + 2*q - 44 with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 1, p: 3, j: 2, w: 4}. What is prob of picking 2 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Factor n*k**2 - 2*k**3 + 5 + 6 - 2*k - 11.\nAnswer: -2*k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.37 + -30.37. Put j, -0.07, -1\/3, 2\/15 in ascending order.\nAnswer: j, -1\/3, -0.07, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7425*h**2 - 21*h**3 - 7390*h**2 + 14815*h**2 - h**3.\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0575 + -33.7.\nAnswer: -32.6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*j + 7*j - 67*j - 615 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*x + 86, 4*x - 9*c = -5*c + 104. Solve -3*z - 4 = -2*l, 4*z + 4*l = -0*l + x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -3\/40*a**6 - 1\/10*a**5 + 0*a**4 + 0*a**3 - 4*a**2 + 0 + 0*a. Find the third derivative of q(h) wrt h.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -356 - -722. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48305*31.\nAnswer: -1497455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**4\/2 + 22502*b**3 + 45064*b**2 - 450200*b + 540168 = 0.\nAnswer: -6, 2, 45014\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 116\/2195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*1\/(-2) - -1. Suppose -j*p + 16 = -3*p. Let b = -21 - p. Let n(r) = r + 9. Calculate n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -332\/11, 2, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 7:11 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/28 (b) 15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/21))**(-11) assuming m is positive.\nAnswer: m**(11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*u - 26 = -5*h, -3*h - 4*u = 8. Let y(v) = -1037499*v**2 - 4*v. Let l be y(h). What is l rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6915)\/922*((-4)\/18)\/2.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -374 + 588. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -395 in 7\/6, 7, 9?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87.598 + 86.3. Round r to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566, 682, 800, 920, 1042, 1166?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 18 - c**2 + 8*c + 6*c + 3*c. Let q be d(18). Suppose q = 3*i - 657 + 123. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.02247 - -0.02247. Sort -0.4, i, 0, -138 in descending order.\nAnswer: 0, -0.4, i, -138","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*w**4 - 4*w**3 + 6*w**3 + 102*w**4 + w + w - 77*w**2 in the form z*w**2 + q*w + p*w**3 + j*w**4 + g and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15640?\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 263516*r\/3 - 17360170564\/3.\nAnswer: -(r + 131758)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 2. Suppose 0 = 4*o + 8 - 24. Suppose 0*t - o*t = 136. Let f be (-3)\/7 - t\/14. Calculate i(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24049000 rounded to the nearest one hundred thousand?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 25*u + 9. Calculate the lowest common multiple of w(25) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqcq. Give prob of sequence cq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -7848?\nAnswer: -7844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 + 0.14. Let d = -14 - k. Suppose 2*p = -5*b + 25 - 2, -15 = -5*b. What is the fourth smallest value in 0.3, d, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*t - 21, -t = 3*t + 4*x + 28. Let k = -13 - t. Let b = 0 - k. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y + 1. Give o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, q: 3, u: 4}. What is prob of sequence uqqa?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 + 38 = -60*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-12)*2)\/((-2)\/(-18)). Let s(o) = -12*o. Let f be s(-2). Suppose 0 = -3*u + f - 6. Solve -u + 3 = -5*b - 3*x, -g*b + 1 = 2*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/5540 and -19\/40.\nAnswer: 11080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**4\/24 - i**2. Let h(s) be the first derivative of 2*s**2 + 4. Calculate h(o(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3299 = -47*t - 178*t + 1651 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-72)\/(-20))\/(3 + 58\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47012139 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 339 (b) 0.2 (c) -1.059 (d) -4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + k + k + 31 - k.\nAnswer: k - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*o + 23 = -407*o + 4*p, 13*p - 11 = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 45*a**2 + 1300*a + 3902. Determine d(-3).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/15)\/((-2)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*((-4*sqrt(425))**2*-2 - ((sqrt(425) - sqrt(425)*2) + -2)) + -5.\nAnswer: -27204 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -560, -2, -0.5435 in decreasing order.\nAnswer: -0.5435, -2, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 497. Suppose 4*v + 343 = -y. Round v to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 45.38. Let z = 3.38 - r. Sort z, 10, -1\/3.\nAnswer: -1\/3, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10816526 and 4984?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 6597977\nAnswer: 31\/6597977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1783\/10 + -357\/2. Let b = -17 - -24. Suppose -2*c + b = -1. What is the closest to k in 2, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4217920701 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 21 + 26. Let u be 170 + b + 3 + -2. Suppose 65 = 3*v - u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 18*n - 6. Let g(f) = -11*f + 3. Let j(b) = -6*a(b) - 10*g(b). Determine j(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(126)*3 + sqrt(126)*-3*4 + sqrt(126))\/(sqrt(35)\/(5*1*sqrt(5))*-5).\nAnswer: 69*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/6229 - 11866243\/12458. Which is bigger: -952 or u?\nAnswer: -952","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 3*l - 12. Calculate the lowest common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61538.\nAnswer: 2, 29, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b = -232365 - 1899469. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25942111618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 11. Suppose 318 = 5*o + 293. Suppose 5*p - 4*j = 3 - 7, o = 5*p + 5*j. Solve -3*c = 3*g - z, -g = -p*g - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176722295.2 to the nearest 100000.\nAnswer: 176700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-24)*(-28)\/(-6). Let y = -51 + h. Calculate the common denominator of y and -93\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181361 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -7371, -4, 0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/15 of a millennium in months?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22168238 to the power of 1\/2, to the nearest integer?\nAnswer: 4708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 0)*112\/(-21). What is the highest common divisor of 112 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*q**4 + 27986*q**3*r - q**3 - 4*q**2 - q*r - 3*q + 1842*r - 4 wrt q.\nAnswer: 84*q**2 + 167916*q*r - 6*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:54 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 4798*t**2 - 224 + 2392*t**2 + 2405*t**2.\nAnswer: -t**2 - 3*t - 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661410 divided by 145?\nAnswer: 11458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12483471967 + 12483472219.60001267. Let h = t - 252.6. What is h rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -5d7?\nAnswer: 5d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2192 = -7*z + 8*z + l, 5*z = -l + 10968. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1521248202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*v + 3*z + 8447 = 155*v, -v - 2*z + 2109 = 0. List the prime factors of v.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1126 - -1169 - (1 + 55)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7770 and 653568.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17281*a + 4058*a - 33760*a - 4907*a.\nAnswer: -51890*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 8*x + 7. Let o(u) = -u**2 - 8*u - 8. Let l(a) = -6*f(a) - 5*o(a). What is the units digit of l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 6*w + 38*w + 7*w - 4*w.\nAnswer: 47*w - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71497.\nAnswer: 19, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 595485300 a multiple of 1884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11788 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 757098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.60009 - -1.6. What is f rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*q + 3648 - 470. What are the prime factors of q?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77984042*o**5 - 23185540*o**2 - o + 2 wrt o.\nAnswer: -4679042520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 41. Let u(w) = -7107*w - 84. Calculate -u(i) - 2*v(i).\nAnswer: 7107*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.2, -1, 111\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978774?\nAnswer: 2, 7, 19, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188107.\nAnswer: 188107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2 - (0 - (-3)\/(-2)). Suppose 1555 = 5*z - 5*j, z + 4*z + 4*j - 1546 = c. What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 15 - 33*g - 3*g**2 + 21 as i*g + u + w*g**2 and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002217142713 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/3096 and -7\/33048.\nAnswer: 1421064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.617 + -1.917. Let y = 7\/3 - 8\/3. Which is the smallest value? (a) g (b) -2 (c) -2\/13 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 - 9710514*j = 0 for j.\nAnswer: -3236838, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52027, -104055, -156083, -208111, -260139, -312167?\nAnswer: -364195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/50058 and 49\/99?\nAnswer: 550638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67\/13 + -214\/39. Let s = -0.44 - -0.17. Which is greater: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87121972.\nAnswer: 2, 7, 257, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0 (c) 214 (d) 12\/5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 132, 33.\nAnswer: -4, 33, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 14 = 5*w - 19, 5*r = w - 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1703*u + 21*u**2 + 1 - 1703*u + 2*u**4 + (0 - 4*u**3 + 0)*(-u + 2*u - 2*u).\nAnswer: 6*u**4 + 21*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*s - 12*m, 1070*s = 1066*s + 2*m - 78 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.09 - -3.08821. Round t to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45437779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-76))\/3*-19.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -108*m - 7040. Determine i(-65).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93187550 + 58287550. Round i to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5479436 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -11.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (26\/3)\/(-2 - (-1060)\/528)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 82*t + 129. Let i(n) = -205*n - 325. What is 5*i(z) + 13*o(z)?\nAnswer: 41*z + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -16. Suppose -6*l + 16 = -2*l. Let d(w) = 4*w - w**2 + 7*w - 4*w + l*w + 8. Calculate d(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-945)\/756 - (-43)\/(-20))*(6 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -2. Suppose 3*d = 7 + c. Which is smaller: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5883\/9920 + (-2)\/5. Let f = -250327\/2331200 - x. Let l = f - -16\/47. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1326925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 = -c, 12 + 1 = c + 5*h. Let r = 106 - 113. Is r > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -28. Which is the second smallest value? (a) -0.1 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iihi when four letters picked without replacement from {r: 2, i: 4, h: 1, p: 12}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65.9 in 0, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 16. Let b be h(18). Suppose 3*o = 4*q - 14, 0 = b*q - 4*o + 2*o - 8. Suppose -13 = 4*s + 3. Sort -5, q, s in increasing order.\nAnswer: -5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124\/7 - 43\/28. Which is smaller: n or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f. Let d(u) = -6*u - 10. Let c(q) = -d(q) - 5*r(q). Calculate c(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 6*m**2 - 3*m - 6. Suppose -4*l - 26 = 5*w, -4*w - 4*l - 6 = 14. Determine h(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + 1 + sqrt(162) + 2 + (-3 + -3*sqrt(162) - sqrt(162)))*3)**2.\nAnswer: -23328*sqrt(2) + 211248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 + u**2 - u. Let g(f) = 221*f**3 + 113*f**2 - 6*f + 4. Let q(l) = -g(l) + 6*j(l). Find the third derivative of q(p) wrt p.\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4717 + -1496. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7831 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 44784?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -1236, 100 in decreasing order.\nAnswer: 100, 0, -2, -1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 3\/22, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426055.1 milliseconds to nanoseconds.\nAnswer: 426055100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:59 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -53. Let w be 2 + 1 + 4\/o. Solve 5*i + 0 = 2*t + 2, i - w*t = -6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (11 + -15) - (-1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 4\/5 (c) -111 (d) -2\/9 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/35 - -5 - 3\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 28124*d**2 - 15*d - 2. Let j(q) = q - 1. Let f(k) = -6*j(k) - t(k). Let z be f(-8). What is z rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = -0*v + 2*k, -3 = 3*k. Let w be 2*v*(-10)\/4. Let q(y) = y**2 + 2*y - 3. Let i be q(2). Put i, w, -1 in descending order.\nAnswer: i, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 3. Let u be q(5). Suppose -4*a + f + 87 = 0, -3*a + 62 = u*f - 6*f. Let p(z) = -20*z. Calculate the least common multiple of a and p(-1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*l + 2*a + 482, 3*l + a + 472 = 0. Let c = l + 637\/4. Let o = -10 - -10.3. What is the closest to -2\/3 in o, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/15 in 2\/11, 0.4, 9, 0, 4\/7, -45\/14?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(-4 + (-405279)\/(-101318)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2631, -7, -257 in descending order.\nAnswer: -7, -257, -2631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1\/4, 0, 9, -127, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -21 + 6\/2. Let t be (-11)\/((x\/(-20))\/(-9)). Suppose -l + t = 4*l. Calculate the lowest common multiple of l and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -14.4. Let g = -4 - -7. Which is the nearest to 0.2? (a) m (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 - 40*t**2 + 42*t = 0.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 46965750\nAnswer: -1\/9393150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6371.994 hours?\nAnswer: 22939178400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67155 * 0.5.\nAnswer: 33577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*n**4 - 3*n**2 + 2*n**2 - 12*n**5 - 19*n**4 wrt n?\nAnswer: -720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20419 (base 10) in base 2?\nAnswer: 100111111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 2. Suppose -1 = -2*t + 3. What is the remainder when w is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2569 is divided by 756?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29232 by 9.\nAnswer: 3248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.159973 times -0.4\nAnswer: -0.0639892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = k, 0 = -0*u - 2*u - 3*k - 11. Suppose 0 = 2*s + u*s. Which is the biggest value? (a) s (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-95)\/(-57)*(-21)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20035 divided by -5?\nAnswer: 4007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-1)*(-3)\/9*4\/80*-69\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -805*t + 1641*t + 10032 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26754, -28864, -32388, -37320, -43654?\n\"Answer: q**3 - 713*q**2 + 22*q - 26064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 19*b**4\/4 - b**3\/3 - 10*b. What is the tens digit of y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - -10) + ((-85)\/17 - -59).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011056 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/26 in 1\/3, -27, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108998158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5232198 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 52. Let j(s) = s**2 + 4*s + 1. Let q be j(x). Solve -q*a = -a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/39112?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4658 + -2727. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 1. Let h(f) = 15*f + 6. Let r(z) = -2*h(z) - 11*l(z). Let b = 17360 - 17357. Let u(i) = -4*i + 1. What is b*r(v) + 2*u(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4652537.44 and 296?\nAnswer: 4652833.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 380b741 - 40?\nAnswer: 380b701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -191 + -1)*-4*280025\/46. Round r to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**3 + 851*f**2 + 2424*f - 323. Calculate w(173).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -8.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = -m. Let o be ((-8)\/m)\/(2\/9). Solve -2*n + o*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087912921 rounded to five dps?\nAnswer: -0.08791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -5.22. Let c = -5.1999967 + g. What is c rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40317 is divided by 420.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 38. Suppose 4*r - 60 - 3 = -3*a, 0 = 3*a - r - 48. Let o be z(a). Let j(s) = 3*s + 16. Let i be j(o). Solve i = d - 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22464769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727470572 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:33 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10868 * 0.5.\nAnswer: 5434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40571185*k**2*o**3*y - 3*k**2*o**3 - 9*k*o**3*y - 28*k*o**3 + 245*k*o + 46*k - 2*o wrt y?\nAnswer: -40571185*k**2*o**3 - 9*k*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6758 + 299*q**2 + 306*q**2 + 6756 as r*q + a + y*q**2 and give y.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19247849.\nAnswer: 23, 836863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000584671297 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3094711 is divided by 608.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/((-8)\/(-64)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2124)\/590*(180\/(-48))\/((-6)\/16)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6538205, 6538207, 6538209, 6538211, 6538213, 6538215?\nAnswer: 6538217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s*x**2*z - 122079*s*x*z - 78*s*x - 12*s*z - 35548*x**2 wrt z.\nAnswer: 3*s*x**2 - 122079*s*x - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -3. Let d = t - 7.00165. What is d rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2624\/(-520) + (-2)\/60*-6\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.024 - 3.024. Let q = 15 + -13. Sort q, y, 0 in decreasing order.\nAnswer: q, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1844614 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/12*(-3)\/(-2). Suppose -u*c + 60 = -c. Solve -4*l - c = l, 4*l = 4*i - 36 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 - 23354*m**2 + 2186885*m - 10350700 = 0. What is m?\nAnswer: 5, 89, 23260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(84)\/(2*sqrt(12)) - (sqrt(700) + 0 + sqrt(700))).\nAnswer: -39*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 11*k**2 + 2*k. Suppose 0 = p - 6*p + v - 12, -3*v = -3*p. Let l(g) = g**3 + 5*g**2 - g. Calculate p*x(q) - 7*l(q).\nAnswer: -q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168 + 164. Sort -8, 5, t, 1 in ascending order.\nAnswer: -8, t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13432 = 20*s + 28*s - 58952. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68186 divided by -4.\nAnswer: -34093\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223435067 to the power of 1\/2, to the nearest integer?\nAnswer: 47153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -20*c**6\/21 + 212*c**5\/35 - 26*c**4\/7 - 212*c**3\/21 + 72*c**2\/7 - 1195. Let p(a) = 0. What is a?\nAnswer: -1, 0, 4\/5, 1, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = 7*d - 3*d, 0 = 5*d - 2*c - 5. Sort -1, 0, d, 2 in decreasing order.\nAnswer: 2, d, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894740901 to the power of 1\/3, to the nearest integer?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/4 and -61\/598.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = 2*l + 30, 19 = 2*p + 3*l. Suppose g = -p*g + 1557. List the prime factors of g.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.7 - -17\nAnswer: 5.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2079 and 2244.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f. Suppose f = -o + 2 - 4. Is o smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 82. Suppose 0 = -2*a + 5*j + 22054, 0 = j + s - 6. Suppose 9*r + 3373 = a. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -603*c - 42. Let z be t(6). Let i be (-4)\/18 + z\/1755. Which is bigger: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 6*25\/60*25*208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -50*l - 2134. Calculate h(-44).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1080, -2158, -3236?\n\"Answer: -1078*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 715 - 21. Suppose 2*x - b = 2. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 33140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-275)\/(-22) + (-11401)\/1754.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1485239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19863175874\/3465 - 5732518. Let m = v - 2\/495. Factor -m*z**3 + 8\/7 - 6\/7*z**2 + 0*z.\nAnswer: -2*(z - 1)*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003361 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -2*l**3 + 177*l**2\/2 - 134*l - 2. What is the first derivative of u(x) wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 38 = 5*d + 16*j, 0 = -3*d + 5*j - 50 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56760988*y**2 + 43872349 with respect to y.\nAnswer: -113521976*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26690 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68177484.\nAnswer: 2, 3, 631273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 10:33 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 205 in -90, -55, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109035 divided by -109035.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -13. Let b = -7455 - -7455.11. What is the third smallest value in b, -2, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.401 times 0.9\nAnswer: -0.3609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + (86 - (160 - 55)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, 2, -1.\nAnswer: -3, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -2c?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 1, v: 5, g: 3, q: 6}. Give prob of picking 1 g and 1 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 552\/5. Let w = 1.01 + -0.01. Let v = w - 1.1. What is the closest to i in -2, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59427*j**5 - j**3 - 5*j**2 - 85566*j?\nAnswer: -1188540*j**3 - 6*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3119 is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 12. Suppose 4 = -5*a + 4*u, 0*u + 1 = j*a + u. Solve 0*b + 23 = -5*x - b, a = -5*x - 5*b - 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492681 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -79. Suppose -2 = k*g + z + 3, -10 = 2*z. Solve g = -4*r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114141732.\nAnswer: 2, 3, 23, 413557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 994 - 455. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 545*h + 36953. Give y(-152).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 90 = 3*a, -2*z = -2*a - 115 - 73. Suppose z = 3*d - d. Calculate the lowest common multiple of (-2)\/(-5) + d\/5 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (252*w**2 + 224*w**2 - 595*w**2)*(0 - 1 + 4).\nAnswer: -357*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -64. Suppose d + 41 = -5*g. Calculate the lowest common multiple of 8 and (g + 19)*2\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 - 5*y**2 + 5*y**2)*(-y - 2*y + y) + 14*y**3 + 4*y**3 + y**3 to the form l*y**3 + r + c*y + x*y**2 and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296)*3)\/((-6*sqrt(36))\/sqrt(3)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)*n*n\/(n**(-2\/9)\/n)*n\/(n\/n**(-2))*n*n*(n**(-9)\/n)\/n assuming n is positive.\nAnswer: n**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**5\/210 - k**4\/28 - 2*k**3\/21 - 13*k**2\/2 + 46. Let p(m) be the second derivative of z(m). Solve p(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.66 + 0.16. What is the biggest value in j, -3\/7, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 5*y - 10. Suppose 4*q + 0*q = 20. Suppose 0 = -5*h + 3*p + 38, -4*p = -3*h - q*p + 20. What are the prime factors of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b + 25. Factor -2*f**b - 2*f**2 - 3*f**5 - f**3 + 3*f**4 + 3*f - 1 + 4*f**5 - f**3.\nAnswer: -(f - 1)**4*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/13))**(-15))**(-27) assuming f is positive.\nAnswer: f**(810\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 greater than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11 (b) -1.1 (c) -4 (d) 1259 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = t + 5, 55*t - 53*t - 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-175)\/(-63) - 2\/(-9). Let m = 16 - p. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -11. Let j(z) = 2*z - 15. Let w be j(t). Suppose -3*a - 300 = -w*a. Is a a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-13 + 0) - (15 + -1)) + 91 + -6.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - o = -100, -5*s + 195 = -9*o + 5*o. Let c(g) = 5*g. Let w be c(1). What is the highest common factor of w and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-3)\/(6\/(-10)). Let j(c) be the first derivative of -c**4\/4 + 2*c**3 - 3*c**2 + 5*c + 118. Calculate j(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 7*j - 2. Suppose 0*f + f + 2*b = 0, 5*f + 4*b = 18. Let v be c(f). Suppose v*k - 105 = -k. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2657*m + 2667. Calculate g(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1974 - 606. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -2*y + 4*f - 54, -3*y = 3*f + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - k)*(-8 + 1 - 1) to the form o + g*k and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w. Let a(s) = -8*s - 110. Let j(g) = -a(g) - p(g). Let l be j(-10). Sort -13, 5, l in descending order.\nAnswer: 5, l, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 92603915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-3)\/(-12) + 216\/32) - 2\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/18 and -55\/2014.\nAnswer: 18126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from ssssnnsbbb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1520 - -14?\nAnswer: -150c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21252*q**2 - 20711*q**2 + 3 - 6.\nAnswer: 541*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -2, -16, 1\/35918 in ascending order.\nAnswer: -16, -2, 1\/35918, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 + 0 = 5*z, -5*z + 18 = 4*u. Is 4 a factor of 1 + -2 - u\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**3*c)\/c**13)**(-2\/101))**(-39) assuming c is positive.\nAnswer: c**(-702\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/(-4) - (-7)\/((-14)\/(-292))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t + 252. Let i be k(-28). Let a(w) = 30*w + 330. Let c be a(-11). Solve i = -c*s - 2*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h = -3*l - 19*h - 5301, 3*l = h - 5307. Let z = l + 2567. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64\/65 + -18\/13. Which is the third smallest value? (a) 5 (b) l (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289*r**3 - 799*r**2 + 513673*r?\nAnswer: -1734*r - 1598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -181 - -376. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7101037 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 36*w**2 + 293*w - 77. Determine u(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**2 + 34*j - 26. Let h(l) be the first derivative of 58*l**3\/3 - 120*l**2 + 182*l - 143. Let v(g) = -6*h(g) - 44*m(g). Factor v(w).\nAnswer: 4*(w - 13)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*((-126)\/(-16) + (-12)\/3). Are k and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38781978*v**2 - 1535*v + 13827 wrt v?\nAnswer: 77563956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8399 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-18) - 270\/(-243). Let k(i) be the third derivative of 1\/2*i**4 + 0*i - i**2 + 1\/15*i**5 + 4\/3*i**z + 0. Determine y so that k(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**(-2\/11))**(-2\/69)*y**(-2\/5)*y**0*(y*y*y*y**(1\/2)*y*y)**(-30) assuming y is positive.\nAnswer: y**(-627688\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/21*((-140)\/(-28))\/50*4\/1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 32*k = -6244. Is 30 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1152 and -33\/896?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (1 + sqrt(288) - sqrt(288)) + 4 - (5*(2 + sqrt(288)) + ((sqrt(288) - (sqrt(288) + 2)) + sqrt(288))*-6))*4)**2.\nAnswer: -7680*sqrt(2) + 11008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1568 and -1887.1?\nAnswer: 2958972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7113548 and 148.\nAnswer: 263201276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 10942 + 21884 = -5*f + 10881, 9 = q + 3*f + 48 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - b = 2*b - 6, -l = 5*b - 10. Let m(c) = c**2 + 709. Is m(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2902, 11656, 26324, 46906, 73402, 105812?\nAnswer: 144136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = v + 725 + 35, 3*v + 768 = 3*l. Which is smaller: l or 288?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 8232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 16*m + 2*v = -342, -5*m - 565 = 5*v. Do m and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -121, -212, -277, -316?\n\"Answer: 13*a**2 - 130*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/15 - (-2)\/5. Suppose 0*t - 3*t = -v*r - 4, -3*r + 5*t - 8 = 0. Let d(c) = 3*c**2 - 1 + 3*c + 2 - 4*c**2. Calculate d(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39721 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**2 - 2*k + 2. Let b(o) = -o**2 - 7*o + 7. Let r = -2 - 0. Determine r*b(c) - 7*y(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**10*s))\/(s*s**(1\/14)*s*s))\/(s**(1\/4))**12 assuming s is positive.\nAnswer: s**(-225\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-1)*l)*l*l)*l*l*l*l**(2\/3))**8 assuming l is positive.\nAnswer: l**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 8475 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 3*r + 29 = 14*w, 0 = -3*w + 5*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 i, and 1 y when three letters picked without replacement from {i: 1, x: 1, u: 1, y: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(28) - (sqrt(28) + sqrt(112)\/sqrt(196))) + (sqrt(4032)*-1 - sqrt(28))))**2*4.\nAnswer: 2166784\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/4, 0.52 in descending order.\nAnswer: 2, 0.52, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243631310 to the nearest integer?\nAnswer: 15609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:44 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 - 4*a**2 + 2. Give z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2864 and -138.\nAnswer: -395232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12157377?\nAnswer: 3, 1033, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22090, -22100, -22110, -22120?\n\"Answer: -10*j - 22080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52793017 and 11697.\nAnswer: 1108653357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from ydojf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*z**3 - 5*z**2 - 10*z**2 + 2*z**2 - 123*z**3 wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b - 5*j - 19 = 0, -5*b - 4*j = 7. Solve b = -5*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3793203)\/(-8710318)*(-4)\/(3*(1 + -4))?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99474690 to the nearest one million.\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29540196, -59080394, -88620592, -118160790, -147700988?\nAnswer: -177241186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 361144*p + 5. Let x be c(-5). Let h = -3485715 - x. What is h rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/24 + 4*j**3\/3 - j**2. Let w = -54 + 64. Suppose w = t + 4. What is i(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 309424*o**3*y + 78*o**3 - 206*o wrt y.\nAnswer: 309424*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 2, h: 4, t: 1, f: 2}. Give prob of sequence ft.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 16*i**2 + 3. Let x be v(16). Solve 2*p + s = -1, -15 = -0*s + x*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 776 and 18949629.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/9813 and -49\/75?\nAnswer: 245325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.9 - -44.9. Let k = 0.3 - 0.1. Let t = 5 - 8. Sort m, k, t in decreasing order.\nAnswer: k, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**5\/40 - 65*z**3\/6 - 68*z. Let k(t) be the second derivative of c(t). Let l(a) = -25*a**2. Determine l(k(u)).\nAnswer: -225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2163)\/(-36771))\/((-80)\/(-34) + -2 + 0). Factor i*r**3 - 7\/6*r + 0*r**2 + 1.\nAnswer: (r - 2)*(r - 1)*(r + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 97*l - 699. Determine z(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*i = 8*i + 12, 5*w = -5*i - 20. Is 16 a factor of w + (72 + -3)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, q: 1, s: 2, u: 1, v: 1}. What is prob of sequence vu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 q, and 1 l when four letters picked without replacement from {l: 1, k: 1, q: 9, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -2e?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -3.26.\nAnswer: 0.1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88810035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 35*j**3 + 7*j**2 - 7*j - 10. Let p(g) = 35*g**3 + 6*g**2 - 6*g - 8. What is -6*c(l) + 7*p(l)?\nAnswer: 35*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/(t**(-2\/75)*t*t)*t*t)**(-13\/4)\/(t**44*t*t**(-2\/17)))**(-1\/11) assuming t is positive.\nAnswer: t**(279067\/56100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-14)*x*x))\/x)\/x**(-1\/31))\/(x**2)**(20\/9) assuming x is positive.\nAnswer: x**(1838\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1731a5 (base 15) to base 2\nAnswer: -100010010011110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3880 and 101409620.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(52) + sqrt(208) + sqrt(52))**2.\nAnswer: 32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -423365 or -423362?\nAnswer: -423365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from ootoiiii.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2147)\/(-38)*(-8 + 10) is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 12*g = 6. Let f be 0 + 94 + g + 5. Find the third derivative of -f*x**5 + 93*x**5 - 19*x**2 - 23*x**6 wrt x.\nAnswer: -2760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-30))\/((-240)\/(-400))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.48 - 41.28. Which is the biggest value? (a) 395 (b) n (c) -1 (d) -1\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 2\/3*g**3 - 42 - 8*g + 0*g**2. Factor j(u).\nAnswer: 2*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 6 = -36*j. Solve -7*p = -5*b - j*p - 5, 5*b = p - 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 160305*r - 17 + 160305*r + 17.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -51887057.\nAnswer: -5188705.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1470 and 0.09?\nAnswer: -132.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729 = 5*z - 2*g, 7*g + 582 = 4*z + 5*g. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 12*h + 16. Let a be x(-13). Suppose -3*t = t - 12. Solve -3*v + a*g = 2*v - 25, -2*g - 16 = -t*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 5*b**2 + b - 2. Let v be j(5). Suppose -v*a = 44 - 14. Let t = 39 + a. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - v - 8 = 3, -12 = c + 2*v. Let r = -1157 - -8102\/7. Let n be ((-1)\/4)\/((-21)\/72). What is the closest to -1 in c, n, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (1 - -6) + (6 - 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.2 (b) -3 (c) -19 (d) -15.4 (e) 0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4423765 divided by -109?\nAnswer: 40585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8322667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/2022 and 41\/78210.\nAnswer: 26356770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 3, -1, 0, -6, -1\/7, 0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 10*v - 6. Let j be q(-9). Suppose r + 2 = j. What is the closest to 0.1 in 0, 7\/5, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3960 + -3960. Let i(w) be the third derivative of -16*w**2 + 0 - 1\/24*w**4 + z*w + 5\/3*w**3. What is i(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2308*r + 29 = -2313*r, -c = r + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -67, -184, -411, -784, -1339?\n\"Answer: -6*z**3 - z**2 + 2*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and 5?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in -2\/11, 1, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b (base 12) in base 3?\nAnswer: -122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264624764.\nAnswer: 2, 66156191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = x - 987, 3*x = 5*m + 3141 - 220. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sses when four letters picked without replacement from qksqsqqeeqsk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -907 + 1308. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(16\/12) + -1. Solve 14 = t + 2*j, 5*t - 2*j = c*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9dbd9 (base 14) to base 15\nAnswer: 78a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89167876387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 240 = 4*g. Let s be g\/(-6) - (2 + -1). Let r(i) = 2*i + 8. Let a(n) = 3*n + 16. Let v(z) = 3*a(z) - 5*r(z). Calculate v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2837 + 2838.6. Which is the third smallest value? (a) -2 (b) -1 (c) k (d) 0.04 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1820*i**3 - 19*i**2 + 84*i + 742. Is q(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 111 + 69. Calculate the greatest common factor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 11*r**4\/12 + 4*r**3\/3 + 3*r**2. Calculate the remainder when h(5) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 11*g**2 + 8*g + 42. Let r(f) = 10*f**2 + 7*f - 7. Let n be r(1). Determine z(n).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-901)\/935 + 1)*(-10)\/3\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**46 assuming z is positive.\nAnswer: z**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7189*k**5*z - 5361*k*z wrt k.\nAnswer: 143780*k**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 7*a. Suppose 4*q - 16 + 8 = a. Determine h, given that 8 - 3*h**2 + 9*h - 9*h**3 - h**4 - q - 2*h**4 + 0 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 0.04 (c) 15\/26 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326 + 328. Suppose 5 = 5*t - 5*p, 1 = 2*p - 1. Differentiate 14*j**t - 7*j**h - 12 + 2*j - 2*j with respect to j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 18*w**2 - 6*w - 14. Let c be p(-2). Suppose 4*i - c = -38. Which is bigger: i or 51\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -555884 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v**3 + 15*v**3 - 7*v**3 - 8 wrt v?\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3176, 3172, 3168, 3164, 3160?\n\"Answer: -4*y + 3180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*q + 44832, 0*q = -4*q + 2*w + 35864. What is the units digit of q\/90 + (-4)\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 654837 + 654777 = 5*u, -2*t = -3*u + 68 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18378, 18436, 18494, 18552, 18610?\nAnswer: 18668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 96352 = -4*i, -5*k + 5*i - 77078 = -9*k. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -820.231 to the nearest integer.\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1798013 is divided by 256848?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j - 59. Let t be b(-9). Solve -5*d + 4 = -t*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 18*i**2 - 15*i + 6. Suppose -20 = 3*o - 5*o. Let k be d(o). Let s be (250\/(-3))\/(6\/k). What is s rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 51777 = 3*s - 2*x, -s + 17242 = 5*x. Is s 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 3:33 AM and 10:42 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76251 + -29984. Suppose -706267 = -q - w. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -247, -714, -1635, -3166, -5463?\nAnswer: -8682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-20)\/(-8))\/(3 + (-147)\/42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-3)\/((-234)\/780).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-2)*(-53 - (-1352)\/26).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -184*q - 2498. Is m(-84) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 9*m + 4. Let i = -1 + 6. Calculate the remainder when z(-7) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1495116 and 112378?\nAnswer: 34387668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-6)*(-1)\/((-42)\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 + d. Let r(s) = -73*s**2 - 12*s. Let q(t) = -12*o(t) - r(t). Let a(z) = 3*z**2 - 5*z**2 - 14*z**2. What is a(q(k))?\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60702337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10*r**3 + 7. Let i(p) = -20*p**3 + 13. Let m be -3*(-6)\/126 - 86\/14. Determine m*i(j) + 11*c(j).\nAnswer: 10*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65 - (-6 + 3)*1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-4204 + -40)*(2\/8)\/((-6)\/18) and 33.\nAnswer: 35013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d - 12*d - 40 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1)\/sqrt(9) - sqrt(19)*-2*-3.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.02 (b) -2\/9 (c) -0.5 (d) -0.041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*n**2 - 2288 + 2288 - 3*n**2 + 3*n**2 + 2*n**2 + (0 + 0 - 2*n**2)*(0 + 2 - 3) - 3*n**2 - 3*n**2 + 5*n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -860778\/193 + 4460. Let i = -957\/772 - h. Which is the second biggest value? (a) -1\/3 (b) i (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*q = 3*q + 49, 4*q + 26 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 127395 = 5*v, -4*v + 137678 - 35766 = 5*r. Is 3\/2 + v\/34 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2384, -2207, -1948, -1565, -1016, -259, 748?\n\"Answer: 7*d**3 - d**2 + 131*d - 2521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -7*y - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.5 (b) 0 (c) 5 (d) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 456 + 4*g**4 - 511 + 37*g**4 wrt g?\nAnswer: 164*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57682?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11016 - 7063. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20408 - 205?\nAnswer: 20203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from fefffyyeyyfkeye.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 28*v**2 + 12332*v - 271320 = 0?\nAnswer: -3230\/7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-43)\/(-12900))\/(-1))\/(9\/((-315)\/(-14))).\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -43*d - 11979. What is r(-279)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.2537 - 16.359. Let c = s + -2.9. Round c to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + (-28)\/3)*(0 + -6). Let g = -16 - -24. Suppose -3*z + g*z = 20. Solve -r*m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 90*j - 26. Let q be s(-12). Let x = q + 12124\/11. Calculate the common denominator of (-348)\/99 + (-2)\/(-6) and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5540\/25 - (-10)\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from iooyyoyiyysuuiy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 3*t**3 - t + 2*t**2 - 2*t**3. Calculate the remainder when v(-2) is divided by ((-6)\/5)\/((-2)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1)*(-12)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -204, 0, -4, -98 in descending order.\nAnswer: 10, 5, 0, -4, -98, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4098*h - 3*y = 4096*h - 17, 1 = 2*y + 7 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120174249281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 3*f + 7 = 0, -2*v - 12*f = -7*f - 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -23816955 to the nearest 10000.\nAnswer: -23820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -846 and -1.\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10579, 21224, 31869, 42514, 53159?\nAnswer: 63804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, t: 1, b: 1, j: 7, r: 4}. Give prob of sequence bdd.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/((5544\/192)\/(-77)). Solve -36*o = -31*o - 15, -20 = t*u - 4*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1543, 1529, 1515, 1501, 1487?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*n + 2*s, -5*n - 4*s - 8 = 3. Find the common denominator of ((-2)\/(-4))\/(n\/67) and -79\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, q: 1, r: 1}. What is prob of picking 1 r, 2 l, and 1 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2. Let v(d) = 29*d. Give v(h(f)).\nAnswer: 116*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -23 - (0 + -1) - -7 - 6) + -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5920995666.835161 + 4763752519.83516032. Let q = -1157243167 - y. Let j = -20 - q. Round j to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, x: 5}. What is prob of sequence xxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1180\/7 + -10606\/63. Which is the closest to 1? (a) 0.2 (b) 0.1 (c) i (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -468 and -0.05.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/17 in -0.06, -0.5, 0.078549?\nAnswer: 0.078549","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d3a6a5 + -1?\nAnswer: -d3a6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = 4*o - 1887. Calculate the least common multiple of o and 266.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181*o**4 + 517*o.\nAnswer: 2172*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9958?\nAnswer: 2, 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 + 11*t - 10. Let l be f(3). Let r(m) be the third derivative of -3\/20*m**l + 0 + 0*m + 1\/2*m**4 - m**2 + 2*m**3. Factor r(j).\nAnswer: -3*(j - 2)*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31822?\nAnswer: 2, 7, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4747.\nAnswer: 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/9, -1.3 in descending order.\nAnswer: 1\/9, 0, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 464 and 19140.\nAnswer: 76560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 10*a**2 + 8*a - 10. Let j be r(-9). Let o(v) = -5*v**3 - 18*v**2 - 11*v - 2. Let d(c) = c**3 - c**2. Let w(t) = j*o(t) + 2*d(t). Factor w(p).\nAnswer: (p + 1)**2*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-3 - -1)\/(-1). Find l such that -6*l**4 + 4*l**4 - 3*l**2 + l**5 + 5*l**2 - 2*l**h + l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -64, -129, -228, -391, -648, -1029, -1564?\n\"Answer: -5*i**3 + 13*i**2 - 69*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17639 rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Suppose 0 = -d*b - 4*b + 16. Solve 0 = b*i + 8 + 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 662 - 1?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/584 and 87\/4.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 - 118*s - 2123. What is z(76)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 3, v: 3}. What is prob of picking 2 y and 1 v?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*b - 46 = 0, 160*p - 2 + 0 = 86*p + 69*p + 3*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 264844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 - -550\/7. Let z = 2.92 - -0.08. What is the third smallest value in 2\/17, 5, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p + 1. Let g(z) = 25*z + 4. Let t(b) = -6*g(b) + 26*n(b). What is the first derivative of t(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101010 (base 2) in base 14?\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -30*o - 118. Let q be v(-4). Differentiate -16 + 9*m**q - 23*m**2 + 5*m**2 - 23 + m**2 wrt m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t**2 + 593. Let q(i) = -6*i**2 + 296. What is 3*a(l) - 7*q(l)?\nAnswer: 3*l**2 - 293","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 < 1401\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w - 24*w + 270160 = 0. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*a - 71 = 0, -3*y + 22*a = 21*a - 50. Suppose 2*m - 6*m + 132 = 0. What is the remainder when m is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5242, -5241, -5240, -5239, -5238, -5237?\nAnswer: -5236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -25*l**4\/4 - 18*l - 7. Find the first derivative of j(a) wrt a.\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (5 - 0)\/1. Suppose 3*i - b - a = 6*i, 5*b = -10. Solve i - 4 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**3 + 4*i**2. Suppose -25 = 5*z - 5. Let r(d) be the first derivative of -d**3\/3 + 157. What is z*r(l) - w(l)?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/55)\/(-4)*25\/(-6)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 7. Let x be z(-6). Let n = 4 - x. Let v(q) = n*q - 4*q - q. Let p(k) = k**2. What is p(v(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (4 - -1))\/((-66)\/(-957)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let j(i) = 3*i**2 + 8*i - 2. Let y(b) = -j(b) - 6*k(b). Let d(u) = -4*u**2 + 9 - 4 - 4*u**2 - 5*u + u**2. What is 6*d(t) - 15*y(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 6\/11, -10\/9, 4, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**7\/840 - t**6\/720 - t**4\/4 - 3*t. Let p(n) be the third derivative of x(n). What is c in p(c) = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1237.\nAnswer: -5\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**2 - 2*k**2 - 4 + 8*k**2 + 7*k**2. Calculate m(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 807845563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 939.\nAnswer: -56\/939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 344211?\nAnswer: -344213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6952*x**3 + 289*x**2 + 15*x.\nAnswer: 41712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176989620 and 3936?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*j - 824 = 1960 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 3. Let u(k) = 87*k + 2700. Let r be u(-31). What is z(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -11*h + 67. Suppose 2*y + 4*l - 828 = 2396, h*y + 4*l = 4830. What are the prime factors of y?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-9)*1)\/(336\/168)*-18?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6656136 (base 7) to base 14.\nAnswer: -17521d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, z: 2, i: 1, k: 2, b: 1}. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -38*z - 1161. Is r(-46) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37855 is divided by 18828?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3003023200 + -110?\nAnswer: 3003023030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, g: 1, q: 2, k: 1, v: 2}. Give prob of picking 2 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * -5.\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20\/7 - 67\/21. Let t = 0.1 - -0.9. Put 2\/3, t, v in ascending order.\nAnswer: v, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 - 12*k)*(5*k**2 - 5*k**2 - 3*k**2)*(4*k + 2*k - 4*k) + 0*k**4 + 0*k**4 - 3*k**4 in the form y*k**3 + z*k**4 + i*k**2 + b*k + u and give z.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**25))**(1\/29)*(q**(-14))**3 assuming q is positive.\nAnswer: q**(-1193\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64270?\nAnswer: 2, 5, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1217\/3 (b) 0.4 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 + -95. Calculate the highest common divisor of s and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4\/3 (b) 7 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/2 - 1227*u**4\/2 - 6077*u**3\/2 + 40299*u**2\/2 - 16497*u = 0. What is u?\nAnswer: -1222, -9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 10*r**2 - 2. Suppose 9 = -f - 1. Let x be -5*(-2 + (-16)\/f). Is 38 a factor of z(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136218 divided by -45406.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*a + 19 = 0, -4*w + 169 = 5*a + 160 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3849564?\nAnswer: 2, 3, 149, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-1))\/15)\/(20\/25)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 + -0.6. Suppose 4*q + 9 = 5. Which is the closest to -0.1? (a) q (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 36. Let i be y(6). Suppose -8*h = -i*h + 192. Does 23 divide (-310)\/(-8) + 18\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(425) - ((sqrt(425) - (sqrt(425) - (-4 + sqrt(425)*2))) + sqrt(425))) + 1)**2.\nAnswer: -3450 + 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c - 111*c + 73*c - 44*c - 2 to d + o*c and give o.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7 = 8. Let g be 352\/(-40) - (-2)\/(-10). Calculate the common denominator of 79\/2 and (15\/g - -1) + j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-108)\/432*(-563 + -1). Calculate the highest common factor of s and 564.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4698\/823 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 + 138 + -1 + -6 + (-2 - -58 - 8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/((-1)\/5). Suppose 4*m = 3*y - 1 + 7, -y - z*m - 2 = 0. Let p be y\/(-4) + 7\/2. Let l(b) = -b + 2. Give l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1429 + 1438. Solve 5 - k = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 - j**2 + 2. Let w be t(-2). Solve 0 = -w*k + 5*k + 34 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 11 - 6. What are the prime factors of -2 + 2 + 38\/l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21015 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*a = 2151 - 1023 + 6748 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) 1.81 (c) 0.4 (d) -93\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/16 and -13\/3820.\nAnswer: 15280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-21)\/4)\/(-7))\/(9\/296). Let y = 25 - r. Let p = 0.01 - -2.99. What is the closest to p in -2, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/2 of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -927052652, -927052653, -927052654?\n\"Answer: -h - 927052651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.71 (b) -2.2 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(245) - (-6*(sqrt(245) - sqrt(245)*3))**2 - sqrt(245) - (-1*sqrt(245))**2*3).\nAnswer: -36019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 96?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 145835 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/i**(-2\/7))\/i)*i)\/(i*(i\/(i*i**(2\/5)\/i*i*i*i))\/i))\/(i**(1\/2))**(21\/8) assuming i is positive.\nAnswer: i**(1569\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69? (a) -0.2 (b) -0.468 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13733033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 767 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -87*a - 297. Let u(p) = 608*p + 1998. What is -20*d(t) - 3*u(t)?\nAnswer: -84*t - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + (sqrt(5) + -4)*-3 - (sqrt(5) + (sqrt(270)\/sqrt(9))\/sqrt(6) + sqrt(5))**2.\nAnswer: -33 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 7:34 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, d: 2, r: 5}. What is prob of picking 3 r and 1 i?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5*(-19)\/(-190)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2107 + 2105. Let a(h) = -9*h**2 + 5*h - 9. Let j(v) be the first derivative of -v**2 + 4*v - 3 + 4\/3*v**3. Determine o*a(k) - 5*j(k).\nAnswer: -2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11883 and 11883.\nAnswer: 11883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -195, -10, 5, -5, 0 in decreasing order.\nAnswer: 5, 0, -2\/5, -5, -10, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -41. Let d = 10 - c. Let p = 3 + -4. What is the second biggest value in p, -2\/15, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7001*s - 24*s**2 - 7001*s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d**2 + 27*d + 6. Determine a(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -974.02 rounded to the nearest 10?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 5.02 (c) 1\/4 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 21 = 4*v, 5*s - 9*s + 47 = 3*v. Solve -d - 13 = -2*h, 40 = v*d - 13*d + 5*h for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w - 4. Let t be o(-2). Suppose q + t*q - 3*j - 20 = 0, q + 3*j + 14 = 0. Which is smaller: 4\/15 or q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692332622 to the power of 1\/3, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 399016053 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: 5a5bc (base 13) to base 14\nAnswer: 445b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3877, 3876, 3875, 3874?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -8 - 2. Suppose s*v + 30 = -3*v. Is v\/(3\/((-138)\/4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/175550 and 71\/1338.\nAnswer: 117442950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8979078*w - 8979078*w + 1 - 29*w**2. Let t(c) = 21*c. What is t(g(j))?\nAnswer: -609*j**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257\/28 + -66\/7. Let v be (3\/4)\/(6\/4). Is v less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 1 + (sqrt(80) + -4 - sqrt(80)) + -1 + -1*sqrt(80).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3798 or 3746?\nAnswer: 3746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3\/2 + 34*c. Let d(a) = 6*a**2. What is u(d(q))?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 77138670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7240150 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 986498*s**2 - 89 - 20 - 1972999*s**2 + 986500*s**2 + 16.\nAnswer: -s**2 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)\/(((i*i*i**1*i*i)\/i)\/i*i)*(i**(-2\/3)*i*i)**(-4\/29) assuming i is positive.\nAnswer: i**(-886\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*x = -14, -3*j - 2*x = -2 - 0. Suppose m - j = 4. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o - 391 = -163 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4071038.\nAnswer: 2, 89, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 9, 33, 77, 147?\n\"Answer: p**3 + p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1590735.\nAnswer: 3, 5, 173, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10793 is divided by 602?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-8) + 12\/48. Suppose 5*l - 567 = -z*i, 2*i - 119 = 3*l - 4*l. What is l rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7430, -29729, -66874, -118865, -185702?\nAnswer: -267385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 16.8. Let c = -0.06 + -3.94. Let n = c + 1. Is u greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5745008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.171 + -0.371. Sort s, -1\/5, 0.1, -1\/3 in decreasing order.\nAnswer: s, 0.1, -1\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 169644943776 and 17.\nAnswer: 169644943793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4582 is divided by 569.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 85680217 * -3\nAnswer: -257040651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**5 - 120*j**2 - 2*j - 22?\nAnswer: -40*j**3 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/8)\/((-6)\/(-8)). What is the units digit of ((-2)\/k)\/((-2)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444*o + 448*o = -5*b + 334085, 15 = -3*o. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100100 + 2222?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.177.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*x - 55 = 0, 111*x + 20 = -t + 109*x + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 7\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose -3*y + 276 = -d*y. Suppose -r + y = r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 - 15*k + 23. Calculate b(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -66745?\nAnswer: 66740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 0*n - 36*n**2 + 4\/27*n**4 + 0 + 0*n**3 + 1\/60*n**6 - 1\/945*n**7 - 4\/45*n**5. Let k(b) = 0. What is b?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -32. Let n(u) = -14*u - 34. What is the remainder when 75 is divided by n(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(23 - 11 + 2)*(3*c - c**2 - 3*c).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {d: 7, i: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(156) + sqrt(156) - sqrt(156)) - (2*sqrt(156)*2 + sqrt(156)))\/((-4*(sqrt(36) + sqrt(36)*2 + sqrt(36)))\/sqrt(3)).\nAnswer: 13*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/6*-9*12. Let c be -84*(0 - 1\/(-6))\/(1\/16). Let z = y + c. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-10))\/(-4))\/((-68)\/20).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)*(0 - 1). Let w = -0.766 + -0.208. Let k = -0.026 + w. What is the second smallest value in h, -3\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.016 - -2.316. Let n = -2.2955 + a. What is n rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 297240 and 910.\nAnswer: 27048840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1096807376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 13*t**2 - 13*t**2 + (4*t - 2*t - 4*t)*(-2*t**2 + 6*t**2 - 3*t**2))*(2*t + 2*t + t)*(1 - 2 - 1)*(-t - 5 + 5).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 288? (a) 1\/5 (b) 5 (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 15*x**2 + 8*x - 2. Let q be t(12). Let z = -66 - -71. Suppose z = w, g + q = 4*g + 2*w. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1429 + 1635. Round m to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -0.59. Let z = -0.91 - b. What is z rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*c - 4*k, 0 = 3*c - 2*c + k - 6. Factor -28\/5*p**3 - 12\/5*p**2 - 6\/5*p**c + 2\/5 - 22\/5*p**4 + 2\/5*p.\nAnswer: -2*(p + 1)**4*(3*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 101100?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6 - 3*w - 5 + 0*w. Suppose 295*y = 302*y + 49. What is the lowest common multiple of 11 and m(y)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 390*v\/7 + 724.\nAnswer: 2*(v - 181)*(v - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.4 - -15.6. Let u be (-108)\/231 - 2\/(-11). What is the nearest to 0.1 in 3, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 4, t: 1, w: 2, y: 8}. Give prob of sequence xytw.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18114191906397 from 0.1.\nAnswer: -18114191906396.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.142 rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 - -196. Which is the closest to -6\/5? (a) 5 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1051, -1049, -1043, -1033?\nAnswer: -1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-22)*(-66)\/198*-2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 - -0.18. Let s = 17.1 - 15. Let c = n - s. Sort 4, c, -2\/19 in descending order.\nAnswer: 4, -2\/19, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (3\/(-14) + 43813\/3234)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 471*s**6\/20 - s**5\/20 + s**4\/24 + 19*s**3\/3 + 4809*s**2. Find the third derivative of w(n) wrt n.\nAnswer: 16956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.052*0.4.\nAnswer: -0.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39898585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -437*n + 825?\nAnswer: -437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7947 divided by -102.\nAnswer: -2649\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4 + 375*l**3 + 10005*l**2 + 108445*l + 365010 = 0.\nAnswer: -23, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 170 - (1\/(-1) - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.400855 + 18.4. What is i rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -245899949689*l**2\/2 - 10909426*l - 242 = 0. What is l?\nAnswer: -22\/495883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.126, 0.5, 2\/13, -4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56844?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpk when three letters picked without replacement from {p: 6, r: 1, k: 2, d: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3578, 7069, 10560, 14051, 17542?\n\"Answer: 3491*o + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18849 + 10493. Suppose 11*i + 6539 = k. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17489?\nAnswer: 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2474\/(-4948))\/((105\/(-18))\/5*4)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 21524, 0.5, -2\/9, -5\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15\/4*p**2 - 21\/4*p**3 + 9\/2 + 21\/4*p - 3\/4*p**4 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-2)*42\/(-56).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + j**5 - 2*j**5 + 10*j**5 + 36*j**4 - 36*j**4 - 2*j**2 + 2*j**2 - 2*j**5 + (-j**5 + 4*j**3 - 4*j**3)*(-1 + 1 + 1).\nAnswer: 5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 5:22 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 14 (c) 0.106 (d) -2\/125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/217 and -26\/279.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 4 - 0) + (-12 - (2 + -13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17165*v**6 + 699*v**3 - 5*v**2 - 237898*v wrt v.\nAnswer: -2059800*v**3 + 4194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -82?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 13. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r - 22. Let f be u(8). Let h = 19 - f. Solve 0 = 4*y - 19 - h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlp when three letters picked without replacement from {j: 8, l: 1, z: 9, p: 1}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/15*1925\/22. Let p = k - -97. Is p a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 8:57 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.7083*-5.\nAnswer: 23.5415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 6*o - 25. Let c be w(11). Calculate the greatest common divisor of c and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*o + 48, 64 = 5*y + 3*o + 3. Let n = 65 - 18. Calculate the least common multiple of y and n.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 250780726 and 7?\nAnswer: 250780719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*r - 360 + 1915 = 0, 4*l + r - 1256 = 0. What are the prime factors of l?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1 (c) -1\/9 (d) 3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 3*l**2 + 0*l**2 - 2*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-56))\/((3 + -5)\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.885 - 3.585. What is the nearest to -714 in g, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8*l = 273. Suppose -w - 4*i = 2*w - 107, -w + 2*i = -l. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - l = -13*d - 8010, l = 0. Suppose 8*m - 14*m = -d. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144562 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 = 5*m - 113. What is the greatest common factor of m and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52863 times -526?\nAnswer: 27805938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 2 + 3*r + 18*r - 6*r.\nAnswer: 7*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, s: 5, w: 1, z: 5}. Give prob of picking 1 w and 1 z.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*g**4 + 1\/4*g + 1\/4*g**5 - g**2 - 1\/2*g**3 + 1\/2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:22 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11180, 11284, 11386, 11486, 11584, 11680?\nAnswer: 11774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/7)\/m**(-3\/5))\/((m**(-7)\/m)\/(m\/m**(-1\/3)*m)))**(1\/54) assuming m is positive.\nAnswer: m**(604\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 + 493. What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 12*v - 1. Suppose 0 = -3*k + 3. What is x(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 + -146\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**4 + 170*s**3 - 51440*s**2 - 103370*s - 51765 = 0.\nAnswer: -119, -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4869022.4 - 0.3\nAnswer: -4869022.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 148462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 20*f - 18*f - 146, 0 = -f - 3*o + 53. Let u = f - 66. Solve 7*r = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 8*(-4)\/(-432)*-84\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32203220233 (base 4) to base 5.\nAnswer: 1434102413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -5, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, 147 in ascending order.\nAnswer: -5, 4, 5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3)\/(((-10)\/(-105))\/((-1032)\/1204))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 6*o**2 + 67*o - 8. Let g be u(-9). Is g smaller than -854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 531654*s**2\/17 + 531656*s\/17 + 2\/17 = 0. Calculate s.\nAnswer: -1, -1\/265827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1252, -1743, -2240, -2743, -3252?\n\"Answer: -3*h**2 - 482*h - 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.892*-2.\nAnswer: 1.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 6*u = 5*u - 19*u + 7*u + 27, -4*c - u - 37 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -690852*m**3 + 1007343*m wrt m?\nAnswer: -4145112*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(-1\/31)\/m)\/m)\/m**(-31))\/(((((m\/(m**(-21)*m))\/m*m)\/m)\/m)\/m)**(2\/23) assuming m is positive.\nAnswer: m**(20251\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a46c + -1a5?\nAnswer: -a644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 15 = 2*l, 2*s - 7*l - 15 = -8*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26.9 (b) 0.04 (c) 16562\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0 - 4. Solve 0 = -3*k, 0 = -3*m - g*k + 5 + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 808*v**2 + 72912*v - 142560.\nAnswer: -4*(v - 66)*(v - 2)*(v + 270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7321 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-399)\/(-228))\/((-3)\/3)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -40*b - 25. Let f(v) be the third derivative of 5*v**4\/12 + v**3 - 361*v**2. What is -25*f(q) - 6*z(q)?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/(15\/50).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 146 - 10. Is (-3 - -11)\/(2\/(2 + n)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5303 - 5093 = -t + 4*x, -t + 10384 = -2*x. What are the prime factors of t?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.8347 to 1 dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.327051 rounded to one dp?\nAnswer: 97.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 1176*c + 15586 - 1470, -2*b - 11 - 9 = 2*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669 a factor of 30159454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhuujujjuumuhjjmjhu. What is prob of picking 1 h and 3 j?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 7) to base 14.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d580 (base 15) in base 3?\nAnswer: -101000020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 546*u - 74529.\nAnswer: -(u - 273)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 9. Let g be r(-6). Suppose 0 = 4*a - g*a - 2. Suppose -7 = -a*f - 5*s - 20, -4*s = -4*f - 12. Is -3 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 356*b**2 + 379*b**2 + 3 + (0*b + 3*b**2 + 0*b)*(4 + 0 - 2) - 2*b**2 + 0*b**2 + 0*b**2 to the form r*b + o + k*b**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 a factor of 135200164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*x + 4*y - 49, 3*x - 39 = -3*y. Let w = x - 14. Calculate the remainder when (4\/(-5))\/((-4)\/30) is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 + 6 = 4*s, 9 = -5*s - 3*x. Suppose 0 = 5*h - 10, s = 5*n - 2*n - 2*h - 5. Solve -4 = n*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -22. Suppose -v*u + 32 = -2*x, 2*x - 20 = 7*x + 5*u. Let k(w) = -w**2 - 9*w. Calculate the least common multiple of k(x) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 21. What is the second smallest value in k, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17557676 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11775862 to the power of 1\/2, to the nearest integer?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 9*h - 2 = 0. Let b(o) = o - h + 0 + 0*o. Determine b(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9636.\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5550 and 127095?\nAnswer: 1270950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0730790199 rounded to five decimal places?\nAnswer: 0.07308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 51*g**2 - 26*g - 12. Suppose -s + 10*u - 14*u = 7, 0 = -2*s - 4*u - 14. Is t(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2590, 5170, 7750, 10330?\nAnswer: 12910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 at least as big as 2393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -28\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) + (-21)\/(-6). Suppose -54 = -2*b + 2*o, -3 = b + z*o - 22. What is the remainder when b is divided by (-413)\/(-49) + 52\/91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4221564?\nAnswer: 2, 3, 351797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 698, -1, 4.\nAnswer: -1, 4, 698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + -0.27. What is the second smallest value in -4, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reerceeeqeqryxrrc. What is prob of sequence crxc?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25951\/5 > 5191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/45*-1*9. Solve -2*x + 28 = 4*i - 7*x, r*x = 2*i - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*k**5 - 36*k**5 - 53*k**5 + (2*k**2 - k**3 - 2*k**2)*(3*k**2 + 0*k**2 - 4*k**2).\nAnswer: -49*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/14510 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 431940 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/120 + 7*w**5\/30 + 13*w**4\/12 - 5*w**3\/2 - w**2 + 67. Is 32 a factor of b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 325*f*j**2*r + 10205*f*j**2 + 22*f*j*r + 2*f*j - 261*f + 965*j*r - 2 wrt r?\nAnswer: 325*f*j**2 + 22*f*j + 965*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*k + 44*k + 2 - 92*k)*(k + k - k).\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 2*o - 42, 0 = 1140*p - 2134*p - 5*o + 11913 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p**2 + 2*p + 1. Let k be g(3). Sort 3, -5, k in ascending order.\nAnswer: k, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, h: 3, i: 1, g: 1, l: 1}. Give prob of sequence isl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 19*p**3 + 5*p**2 - 23*p + 38. Calculate the smallest common multiple of 18 and b(4).\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, a: 5, z: 1, v: 1}. What is prob of picking 1 v and 1 a?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 16) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 2 (b) -3 (c) 2606 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -4, 0.4, 1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770 - 93.3?\nAnswer: 1676.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Suppose i*f - 29 = 19. Suppose -v - 2*q + f = -15, 2*v - 4*q = 94. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2*(-5)\/(-10)*4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22027 - 16353. What is the remainder when y is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4385 + -93.6483.\nAnswer: -94.0868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-7))*c*c)\/(c*c*c**(1\/4)*c*c*c))**(2\/5) assuming c is positive.\nAnswer: c**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -377 - -216. Let v = 334.32 - 498. Let n = v - h. What is n rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -52214, -52190, -52150, -52094?\n\"Answer: 8*r**2 - 52222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i + 1. Let v(n) = 102*n**2. Determine v(y(l)).\nAnswer: 10200*l**2 - 2040*l + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000235992 to seven dps.\nAnswer: 0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/1891 and 34 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15095176651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i**(-11\/6)*i)))\/(i**(13\/3)\/i) assuming i is positive.\nAnswer: i**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 49 - 21*g + g**2 - 10 + 15. Let b be 5*(-12)\/60*(-20 + 2). Let f be s(b). Solve v = -1 - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {u: 7, r: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 11*q + 11*q + 3*q**2 to t*q**2 + z + f*q and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-14)*(-126)\/(-54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71534*0.83.\nAnswer: -59373.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 6*f + 5*f + 23, -5*f - 5 = 4*v. Let o = 30 - 29. Which is the closest to o? (a) v (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*p + 6, 3*r + 22 = p + 16. Suppose u - 22 + 9 = p. Solve -4 = 11*t - u*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 11:42 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-14)*l)\/(l\/(l*l**1)*l*l))**(-9\/8))**(-1\/2))**47 assuming l is positive.\nAnswer: l**(-2961\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2)*-4 + 9. Suppose -2*b - 2*b - 12 = s*g, -2*b = -4*g - 20. Solve -4*j + 3 - 11 = b*h, 0 = -3*h + j + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1042 + 38 = 24*v. Do v and 44 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k - 1. Let h(l) = -6*l**2 - 5*l + 5. Let c(o) = 5*b(o) + h(o). Let z(u) = -8*u + u - 6*u. What is z(c(v))?\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 12 = 2*o - 10, -36*f + 4*o + 140 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**4\/7 + 705*s**3 + 2030103*s**2\/7 + 2015313*s\/7 - 578622 = 0.\nAnswer: -847, -797, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 41 - 19. What is the remainder when 44 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 49. Calculate the smallest common multiple of x and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748625 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-2\/3))*n)**(2\/87))**(14\/3) assuming n is positive.\nAnswer: n**(28\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 4*h)*(-4*h - 4*h - 5*h) + h**2 + h**2 - h**2 - 3 - 24*h + 24*h - h**2.\nAnswer: -52*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -62. Let c = -49459767.70000044 - -49459745.7. Let j = c + h. Round j to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1448794, -5795185, -13039162, -23180719, -36219850, -52156549, -70990810?\n\"Answer: o**3 - 1448799*o**2 - o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8252 or -8250?\nAnswer: -8252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16989 minus 38.7505836?\nAnswer: 16950.2494164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3040021 (base 6) to base 12\nAnswer: -70011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/3)\/((-226930)\/111402).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.305 - -7.9. Round l to one decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + c. Let h be i(2). Let t be (h - -2) + -4*5. Is (t\/30)\/((-1)\/5) + 4857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 40687*q**2 + 20342*q**2 + 20329*q**2 - 5*q to o + n*q**2 + j*q and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/16)\/(3\/168). What is the greatest common divisor of 2009 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*i - 13 = -7*c, 0 = -c - 3*i - 11. Let z = -3.2 + -3.2. Let b = z - -2.4. Sort 4, b, c in decreasing order.\nAnswer: 4, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*o + 3831 - 3831)*(24 - 3*o - 24) + o**2 - o**2 + 17*o**2 to h + g*o**2 + w*o and give g.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let t(u) = -825684*u. Calculate k(t(s)).\nAnswer: -681754067856*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113905, -221932, -329959?\nAnswer: -437986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -2 (c) -5764 (d) -1\/7 (e) 81 (f) 0.4 (g) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -40282 >= -40282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p - 2*p**4 - 1 + 3 + 5*p + (-875 + 875 + 33*p**2)*(3*p**2 + 2*p**2 - 3*p**2).\nAnswer: 64*p**4 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d + d - 5*d)*(191 - 382 + 153) to m + c*d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**5\/4 + 19*q**4\/2 - 115*q**3\/4 - 30*q**2 + 117*q + 108 = 0. What is q?\nAnswer: -4\/3, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 3:21 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 124, 127, 130, 133, 136?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 738 + -718. Calculate the remainder when 158 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q + 1. Let z be a(1). Suppose -1 = -n + 2. Suppose -n*h = -0*l + l - 14, -18 = -z*h - 2*l. Let u(s) = -s - 4. What is u(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 = -15. Is (-2)\/(1 - c) + 2876\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -16*r**5\/5 + 5*r**4\/12 - 19*r**2\/2 + 673*r. Find the third derivative of k(f) wrt f.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/(67\/((-331248)\/515))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34937 divided by 16898.\nAnswer: -4991\/2414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 4. Let b(p) = -3*p + 7. Let h(y) = 3*b(y) + 5*s(y). Suppose -379 + 1894 = 303*z. Determine h(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 13*i - 5267 + 5267 - 100*i as f + z*i and give z.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27913238 to the power of 1\/2, to the nearest integer?\nAnswer: 5283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10032002 (base 6) to base 12.\nAnswer: -118602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 19 = 5*g, 5*h + 11 = -5*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, 226, -1\/22, -1\/2 in increasing order.\nAnswer: -2, -1\/2, -0.4, -1\/22, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1183*w + 12. Let i be p(11). Let q be i + ((-3)\/(-6))\/1*2. What is q rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 4)*(1 + 3 - 2)*((-3 + 5 - 3)*(-5 + 2*y + 5) + 2*y - y - 3*y - 125 + 125 + 7 - 40*y) to u*y + c and give u.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 465000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 1 - 4. Put 1, o, -5, 3 in decreasing order.\nAnswer: 3, 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 986 divide 111550124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.01394 litres to millilitres.\nAnswer: 3013.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3329294.47 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7533022 millilitres to litres.\nAnswer: 0.0007533022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 2. Let t be 0\/(p + -2 - 3) + 5. Let w(r) = -3*r - 5. Let n(u) = 3*u + 6. Give t*n(s) + 6*w(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6675 - -8188. What is the greatest common divisor of o and 712?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34440015089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 8018?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.7, -39\/5, 11?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 715*a - 715*a - 2*a**3 + 18 to the form n*a**2 + p*a**3 + v*a + i and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/414*-18*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039 a factor of 2659557596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.498 - 0.048. Let g = 0.45 - u. Let p be -1 - (2\/(-2))\/1. What is the second biggest value in -2\/3, g, p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbbbb. What is prob of picking 1 b and 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiifiif. What is prob of sequence ffi?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58723*i + 58723*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.226 times 0.025?\nAnswer: 0.00565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (214236\/(-21))\/(-6) - 6\/21. Suppose u + 4*u = -5*x + m, 5*x - 2*u - 1728 = 0. Suppose 4*q + x = 12*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((-2 + 3 - -6) + -24)) + -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -b + 24, w = -0*b - 4*b - 3. Let r = w + -15. What is the units digit of (871\/r)\/(1\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/60 - x**4\/4 - x**3\/3 + 32*x**2. Let c be v(-4). Suppose -t + 21 = -33. Calculate the highest common factor of t and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 8 + -1 + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 1965a55?\nAnswer: -1965a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6. Let p = v + 9. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 10) to base 3\nAnswer: 10021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.33 in 4, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5))**(1\/2)\/((p\/(p*p**26))\/(p*p**(2\/19)\/p*p)) assuming p is positive.\nAnswer: p**(5169\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2465 and 5.\nAnswer: -1.2325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 64144 = 7*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5153*w + 1 + 4*w**4 + 0*w**2 + 4*w**2 - 5151*w - w**3 in the form p*w**2 + m*w**3 + k*w**4 + h*w + z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**2 + 24*d - 26. Let w be m(-13). Calculate the highest common divisor of 52 and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3, 15, 6, -1, -2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/386 and 17\/6?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -29. Let p(z) = -18 + 13*z + z**3 + 24 - 2*z**2 - 18 - 9*z**2. What are the prime factors of p(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -3*a - 9, -2*o = 2*a - 28. Let z(q) = -q**3 + 8*q**2 + 8*q + 1. Calculate z(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2444 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1203.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 2, t: 1, h: 1, e: 1, b: 1}. What is prob of picking 1 h and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(sqrt(99) + 0 - sqrt(99)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 4. Let q be (-2 - t) + (0 - 0). Let x = -344\/5 - -69. Which is the nearest to q? (a) x (b) -3\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1018\/3 + -10283\/30. Find the common denominator of p and -63\/26.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*n + 907 - 882 + 10265 = -33*n for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - c - 62 = 0, 237290*c - 26 = d + 237289*c for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 2*y + 3. Let s be i(3). Let u(t) = -1 - 8*t + s - 5. What is u(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -339*h + 631*h - 329*h + 1184 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -13*l. Let c be s(-2). Let f(j) = 162*j + 22. Let w be f(c). What is the derivative of -2*h**4 + 20 - w*h + 4234*h wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:49 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.05 - 0.65. Let m = 11 - v. What is the second biggest value in m, -1, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 8*w - 4. Let s(f) = -2*f**2 - 16*f - 8. Let k(v) = 3*s(v) - 5*z(v). Suppose -4*g = 30 - 2. Is k(g) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -6*o**2\/11 + 41886*o\/11 - 125604\/11 = 0.\nAnswer: 3, 6978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 7*n = -77 - 131 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (390\/(-156))\/(5\/6) - -11. Solve 71*a = 3*d + 67*a + 23, -4*a = -t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 8) in base 15?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1772669 and 26536?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960067 is divided by 2202.\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7636 times -5\nAnswer: 38180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/126*(-2)\/10.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-18))\/(8\/6). Let m(w) = 2*w**2 + 2*w**2 - w + 3*w**2. Calculate m(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 259*o - 251*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 - 531*v**2 - 5730*v - 5200 = 0.\nAnswer: -520, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -1, 11, 1\/7, -6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 w when three letters picked without replacement from {w: 4, h: 2, m: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2. Let l(h) = -29*h**2 + 7. Determine -l(n) - 2*p(n).\nAnswer: 29*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.38984l to millilitres.\nAnswer: 81389.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 277766 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1821*t**2 - 15 - 909*t**2 - 911*t**2 - 1. Calculate u(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 2*b + 6. Suppose 0 = 4*q + 13 - 25. Let m be y(q). What is the second derivative of m*l**2 + 39*l - 45*l + 5*l**2 wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27620073 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 h when three letters picked without replacement from svvfshvfhvvhsrsvsvf?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - -201. Suppose 0 = -14*m + 113 + l. Suppose -m = -2*v + 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 744.\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2587, 2588, 2589, 2590?\n\"Answer: d + 2586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, r: 4, u: 3}. Give prob of sequence frrr.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 41*f**2 - 2*f + 1. Let w be l(1). Suppose -y + w = 7*y. Suppose 3*o - 5*o + 18 = 0. Solve 32 = -3*j - y*u, -4*u - 11 - o = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 27 = -4*q, 5*u - 2*q - 29 = 2. Let n = -84 + 86. Solve -m + 15 = 3*j + n*j, m = -j + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 + 136. Let u be -2 - (8\/14 - p\/168). Let b = -1 + -4. Put 5, b, u in descending order.\nAnswer: 5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 189*g + 3834 + 5063 - 1941 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3 = -4*b, 4*x - 200*b + 12 = -196*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194431 + 194447. Let q be 4\/(-5)*10\/(-4). Suppose -2*l = 2*j + 2*j - 32, q*l = -3*j + 24. What is the lowest common multiple of y and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/3 - 3112*l\/3 + 49128 = 0?\nAnswer: -1602, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125.76 and -166?\nAnswer: -20876.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-570)\/342 - (-1877073)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93.5346ml?\nAnswer: 0.0935346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51073, -104937, -158801, -212665, -266529, -320393?\nAnswer: -374257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35515120.\nAnswer: 2, 5, 443939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/16 and -101\/78.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/(p*p**(1\/15)))**(-28) assuming p is positive.\nAnswer: p**(-1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 7*w + 16. Let g(m) = m**3 + 4*m**2 - 8*m - 10. Let u be g(w). Let z be 1918\/u - 28\/154. What is the greatest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -22*m - 170 - 137 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - k + 886286, -8*l + 5*k - 886250 = -13*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - j - 40. Let w be y(0). Let a = w - -45. Suppose -a*k + 4*k = -110000. Round k to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d + 5 = 43*d + a, -38*d + 2*a = 180 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 5) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3429.157 millilitres in litres?\nAnswer: 3.429157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 13*m = -4*f - 24, 2*m + f + 13 = 0. Let d be 104*(-3 - m\/2). Calculate the greatest common divisor of 65 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-3))\/((-1)\/(-3)). Let o be (w*2)\/((-4)\/8). Suppose 0 = -o*g + 3 + 9. Solve z - g = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 21. Let n be l(-20). Solve n = 5*k - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -8*l - 15, -c - 264*l + 266*l = 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 8*h**2 + 8*h - 5. Let f be l(7). Suppose 3*p = -f*p - 65. Let t = p + 13. What is the closest to 0 in t, -4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/((-159)\/742)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 35 + 88 = -5*k, -30*x - 496 + 20 = -149*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -x + 2*i, 10*x = 9*x + 5*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 921094093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and -93389.\nAnswer: -93389.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -839, -3191, -7153, -12725?\nAnswer: -19907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, j: 1, r: 4, c: 1, f: 3}. Give prob of sequence pfp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - w**2)*(0 - 2 - 1)*(-23 + 1 - 48) as c + q*w**2 + l*w and give q.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhdddddddddd. Give prob of picking 3 d.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 221 = 2*g, -2*g + 351 = 5*h - 3*g. Let b(y) = y**2 - 14*y + 58. What is the remainder when h is divided by b(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.02 - -0.02. Suppose -465*w - 136 = -272*w - 261*w. Let i = -1 - -1.2. Which is the fourth smallest value? (a) w (b) q (c) 5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -74*k + 5. Let o be 1\/(1*(-4)\/12). Let t be m(o). Suppose 3*u = -4*p + 1327, -2*p + t = 2*u - 659. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(8\/11))\/(j*(j\/(j*j*j*(j\/(j\/(j*j**(-25))*j)*j*j*j)\/j*j)*j)\/j))\/(j**(-46)\/j**10))**(16\/11) assuming j is positive.\nAnswer: j**(6208\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199\/7 + 1039\/56. Let c = 3649945\/6 - 606512. Let v = c + -1807. Find the common denominator of v and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 1. Let u(p) be the third derivative of -p**4\/24 - p**3\/6 - 2*p**2. Let c(y) = 6*l(y) + 5*u(y). Let j be 84\/22 - (-14)\/77. Calculate c(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n + 8. Let c(m) = -11*m + 16. Let y(v) = 3*c(v) - 7*l(v). Let f be y(2). Suppose 6*g + 232 = f*g. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6436722us in minutes?\nAnswer: 0.00000001072787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 67*x - 263*x + 97*x + 88*x + 2*x**3 + 75*x.\nAnswer: 2*x**3 + 64*x + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*i + 59 + 1 = 0, 4*i + 42 = f. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 46\/819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 31296000 to the nearest 100000.\nAnswer: 31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100111101001101111 (base 2) in base 9?\nAnswer: 3234317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1235.049 days?\nAnswer: 106708233600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2)\/t**(-13) assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 5*c = -15, 5*c + 9 = 2*n. Let l(d) = 2108 - 2117 - 5*d**n + 6*d + 3*d**2. Let i(w) = 2*w**2 - 7*w + 10. Give -6*i(f) - 7*l(f).\nAnswer: 2*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + 105. Let x = w - 139. Solve -2*n - x = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 8*u - 6*u + 2)*(-141*u**2 + 293*u**2 - 143*u**2 - 13) in the form v*u**2 + g*u**3 + s + p*u and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 55037?\nAnswer: -8255.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**6\/10 - 3*t**4\/4 - 7*t. Find the third derivative of f(l) wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 7*h**2 - 4*h - 183. Let w(b) = -4*b. Give v(w(y)).\nAnswer: 112*y**2 + 16*y - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a - 98b7a?\nAnswer: -98b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -90666 (base 10) to base 3\nAnswer: -11121101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k**(-1\/2)\/k)\/k*k*k)**11*k**(1\/5)\/((k*k**(-2\/13))\/k)*k\/k**(5\/2)*k**(-5\/3)*k*k*k**(-6)\/k*(k\/((k**(-2\/3)\/k)\/k*k))\/k assuming k is positive.\nAnswer: k**(673\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.20571894 rounded to 3 dps?\nAnswer: 3.206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:00 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*x + 10, 18 = 3*g + 2*g - 2*x. Suppose 56 = g*s + 18. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1366201\/43 or -31773?\nAnswer: -1366201\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48222 - -69783. What are the prime factors of q?\nAnswer: 3, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighty-one quarters of a meter?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214697402.\nAnswer: 2, 41, 2618261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 187b3?\nAnswer: 187b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -576 (b) -1\/6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Suppose -4*u - 16 = 0, -m*u = -g - 0*u + 29. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329 + 560. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 1)*((-3*b - 4 + 4)*(5 - 3 - 1) + (3*b - 3*b - b)*(2 - 1 + 4) - 2*b + 3*b + b + 2*b - 2*b - b) to the form r + t*b and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 13*n - 18. Give c(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(13\/4))**(4\/15) assuming i is positive.\nAnswer: i**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9156 and 206892.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-470)\/6)\/(2\/(-6))?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (129 - -3)\/(-1). Suppose j + 3*u + c = 3*j, u - 4 = 0. Let p = -1 - j. What is p rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -50, 1, 102, 271, 526?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32024 + -23?\nAnswer: -32102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2989939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 16900465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l - 10. Let r(n) = -9*n + 11. Let g(y) = -6*r(y) - 7*z(y). Let u(a) = 5*a - 2. Let v(f) = -6*g(f) - 11*u(f). Calculate v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -65, -129, -207, -293, -381, -465, -539?\n\"Answer: a**3 - 16*a**2 - 3*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575950 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 1, -2, 4 in descending order.\nAnswer: 4, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-1302)\/98 + 1138\/(-56)*-4\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2\/11 (c) -8 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 4:37 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -2. Let j(b) = -b**3 - 2*b**2 + 2*b + 5*b**2 - 4 - 5*b**2. Does 12 divide j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.21 - 15. Let u = -0.51 + j. Let b = -13\/20 - -7\/5. Put u, 2\/9, b in ascending order.\nAnswer: u, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18) + 28\/(-18)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, w: 2, k: 5, u: 2, q: 1, s: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -54*p + 135. Is 28 a factor of x(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4850 - -4849.99. Let p = -15 - -15. Which is the nearest to -2? (a) p (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j**3 + 20*j**2 - 6*j + 11. Let w(c) = 4 - 2*c + 7*c**2 + 39552*c**3 - 79116*c**3 + 39561*c**3. Determine 4*u(h) - 11*w(h).\nAnswer: -3*h**3 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -97365, -97472, -97645, -97878, -98165, -98500, -98877?\n\"Answer: v**3 - 39*v**2 + 3*v - 97330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/15 - 5*w**4\/2 + 24*w**3 - 12*w**2 - 12. Find n, given that j(n) = 0.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t*t**(-4)*t)\/t*t\/((t**(1\/2)*t)\/t*t))**(2\/45) assuming t is positive.\nAnswer: t**(-1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25996.1 - 25996. Which is the nearest to g? (a) -2\/7 (b) -3 (c) 64 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.3. Let r = f + -0.14. Let h = -0.44 - r. What is the second biggest value in h, -1\/5, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.954 less than -171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 419?\nAnswer: -2095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14870047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3526, 14503, 32810, 58447, 91414?\n\"Answer: 3665*m**2 - 18*m - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 9*m**2 + m + 9. Let w be v(7). Find the common denominator of (-279)\/(-24) - -1*1 and w\/(-20) - 2 - -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p = -48*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10555*x + 4401567. Determine u(-417).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*s = -6. Suppose 72 = s*h - 2. Calculate the remainder when h is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 259, 883, 2099, 4105, 7099, 11279?\nAnswer: 16843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + -100. Put 5, h, 4 in descending order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/10)\/(4\/((-48)\/9))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(60\/(-12)) + (-5504)\/(-4).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7884*f. Let g(v) = -4*v - 90. Determine g(r(a)).\nAnswer: -31536*a - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117 and -31627?\nAnswer: 3700359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0106855644 rounded to four decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 8*w**2 + 6*w - 1. Suppose 10 + 8 = -3*a. Let f be v(a). List the prime factors of 128\/7 + (-10)\/f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.2, -3, 5, -0.6, -60, 2?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 42.\nAnswer: -4, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**3 + 0*t**3 - 2*t + 6 - 5 - 2*t**2 - 2*t**4 as y*t**2 + a*t**3 + q*t**4 + j + r*t and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -17, -0.3, 91?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**1)**(-1))**(1\/14))**(-36\/5) assuming s is positive.\nAnswer: s**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1208062964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1703\/93, -0.4, -0.2, -5, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1368, -1410, -1500, -1662, -1920, -2298, -2820, -3510?\nAnswer: -4392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 1, m: 2, v: 2, p: 1}. Give prob of sequence pmms.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.7812 - 0.7812. What is the third smallest value in 2\/15, 3\/4, q, 1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324c (base 13) in base 3?\nAnswer: 100121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*y = 50*y + 48*y - k, -5*y - 2 = -k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 298, -2, -2115, -5, -4 in descending order.\nAnswer: 298, -2, -4, -5, -10, -2115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2 and -17\/576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjqjjqjq. Give prob of picking 2 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 69.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - r + 1. Let a be m(1). Suppose 2*j - 4*c = 5 - 21, 4*c = -j - 14. Put j, a, 3 in increasing order.\nAnswer: j, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**7\/42 - 13*c**5\/2 + c**3\/6 - 283*c**2 - 283*c + 2. Find the second derivative of r(p) wrt p.\nAnswer: -20*p**3 - 780*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 3*k**3 + 2*k**5 + 0*k + 0*k + k**5 + (k - 3*k + 3*k)*(5*k**4 - 8*k**2 + 8*k**2).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/5)\/w*w)*w*(w*w*w*w**(1\/9)*w)\/w*w*w**(-36))\/(w**(11\/6)*w**0*(w\/w**(-2\/7))\/w) assuming w is positive.\nAnswer: w**(-19913\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 - 2*f**3)*(-3*f + 9*f - 3 - f**2 - 7*f).\nAnswer: 2*f**5 + 2*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 5. Let h(p) = 0*p + 2 + p - 5. Determine 5*h(l) - 3*u(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(2*j + 0*j - 4*j) + (-5 - 1 + 4)*(0*j + 3*j - 4*j) + 4*j - 8*j + j + (-2 + 2 + 3)*(0*j + j - 3*j))*(-3*j + 4*j - 3*j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002999381088 rounded to six dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 3:47 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 + 116. Calculate the remainder when p is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4*(-15)\/(-75). What is the nearest to j in -0.2, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:28 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + 2*m - 2, 1 = -4*h + 3*m. Let q(d) be the second derivative of -d**5\/20 - d**4\/3 + d**3\/6 + 2*d**2 - 67708*d. What is q(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 931*c*l - 3*c*m**3 + 7769*l*m**3 + 14*l - 2 wrt m.\nAnswer: -9*c*m**2 + 23307*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 895552 and 14848.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 3. Suppose 5*h + 16 - u = 0. Let l be (3 + -4)*(-3 - h). Is 2 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*24\/(-15) - -2. Let u be 9\/(-3) - -1 - -2. Sort -1\/2, q, u in increasing order.\nAnswer: -1\/2, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*z**3 - 8*z - z**2 + 2 - 9*z**3 - z in the form v + t*z**2 + c*z**3 + y*z and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i + 2. Let g = -1 - 5. What is the least common multiple of v(0) and (-63)\/(-45) + g\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 160\/3*u**3 + 0*u**5 + 0*u**2 + 0*u**6 + 0*u + 96\/7*u**7 + 0*u**4 - 115. What is the third derivative of w(c) wrt c?\nAnswer: 11520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -r - 1. Suppose 2*n + n - r = 0. Let l be 7 + 1\/((-1)\/3). Solve h - n = -l*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5614*b - 1836*b + 3388*b in the form f*b + n and give f.\nAnswer: -4062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 51*o**2. Let d be (1617 - -1) + 1\/(1\/(-4)). Let g(r) = d - r - 1614. What is g(b(f))?\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001611253 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*m*n*v - b**2*m*v**2 + 9*b**2*n*v + 28*b*m*n*v - b*n*v + 1415205*m*n*v**2 + 58*m*v wrt v.\nAnswer: -2*b**2*m + 2830410*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/15*j**4 + 18406\/15*j**2 - 126\/5*j**3 - 16802\/5*j - 23064\/5 = 0. What is j?\nAnswer: -1, 4, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by 6?\nAnswer: -104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (2 - 1))*(-108 - -94). Let t(b) = b**2 + 3*b - 2. Let y be t(-4). What is the greatest common divisor of y and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 45 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*z = -545*z + 107*z - 16966 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*y - 17 = y, -5*n + 2*y = -30. Suppose 2*f = x + 1, -x - n*x + 13 = -4*f. Differentiate 6 + 0 - 1 - x*a + 2 wrt a.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + (sqrt(160)*3)\/sqrt(5) + sqrt(32) + sqrt(32) + (sqrt(18) - sqrt(2304)\/sqrt(2))\/sqrt(9))**2.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 68 - 0. Let y be 3 + l - (-4 + 2). Calculate the highest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -9. Let a(y) = -1 + 0 - y - p. Suppose -2*i = -i. Calculate a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 667 + -2?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 26415*w**2 + 52866*w + 211368.\nAnswer: -3*(w - 4)*(w + 2)*(w + 8807)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q. Suppose q*n + 5*n - 30 = 0. Solve 0 = -n*o + 2*o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u - 1. Let k(l) = 18*l - 3. Let o(r) = -6*k(r) + 17*n(r). What is o(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-12))\/(10\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 8*c - 21. What is the remainder when 27 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 - 18*l**2 - 86*l**2.\nAnswer: -117*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*y**2 + 5*y + 250*y**2 + 227*y**2.\nAnswer: 327*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 63. Let y be g(25). Suppose y*o + 2*o**2 + 174*o + 4608 - 44*o = 0. What is o?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.09, 13, -0.01, -1\/4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1\/15*s**5 + 3\/2*s**3 - 3*s**2 + 0 - 3\/8*s**4 + 0*s. Let n(z) = -z**2 + 2*z - 2. Give -2*g(o) - 9*n(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7 - (-405)\/189\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 26. Let r be n(25). Solve 4*f + 3 = -r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100104 and 96.\nAnswer: 400416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 204*w + 2251. Let a be o(-11). Let h(n) = 3*n**3 - n + 1. Let p be h(2). Suppose -a*r = -p - 12. Solve 2*t - r*f = 23, 0 = -0*f - 4*f - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d - 8. Suppose 8 = 22*u - 80. Give i(u).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-9))\/(((4158\/(-243))\/(-77))\/(64\/(-4))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 k when three letters picked without replacement from kzkrk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/61 + -243\/610. Sort m, -4, -5, -0.1 in decreasing order.\nAnswer: -0.1, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20791 is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 + 4*q**2 - 6*q + 4. Let n(u) be the third derivative of u**6\/40 - u**5\/12 + 7*u**4\/24 - 5*u**3\/6 - u**2. Determine -5*l(z) - 4*n(z).\nAnswer: -2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + z - 4 = 0, -4415*z = -4416*z - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1778 by 561.\nAnswer: 1778\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 18*x - 7. Let b be a(15). Let k be ((-4)\/6)\/((-1)\/(-3)). Let c be ((-38)\/(-4))\/((-1)\/k). Calculate the highest common factor of c and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 136*f**2 + 733*f - 43933. Determine c(139).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:01 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -3*m - 5*d, 0*d = 2*m + 3*d + 42. Calculate the remainder when 1\/(1\/65) + -1 is divided by 1000\/45 + 6\/m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*i + 6*v, -4*v = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 171*q**2 + 140*q**2 + 414*q**2 - 7 to the form d*q + b*q**2 + t and give b.\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 10*y**2 + 25*y + 20. Let x be a(-12). Let v be x\/(-4) + 1\/((-2)\/(-22)). Suppose v*w = 8*w + 20. Solve i + w = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w + 4. Let m be -3*(-3 + 2 - -2). Does 4 divide q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 + 586*u**2 + 7*u - 7. Let r(b) = 2*b**3 - 293*b**2 - 3*b + 3. Determine 3*g(h) + 7*r(h).\nAnswer: -h**3 - 293*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9004325 = 9004322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -711\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckkkkkckkkckkckkkk. What is prob of sequence kck?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 449994199 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/2*572\/(-858). What is the smallest value in 35, 2\/9, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n**2 - 2*n**3 + 3*n + 7 - n**2 - 2*n - 6. Let k be d(-1). What is the common denominator of -4 - 34\/(-8)*k and 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3022236\/(-48776) + (-1 - -63)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 6*h + 3. Let k be m(-3). Solve -6 = -0*t - k*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5758205 by 5.\nAnswer: 1151641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 514734505789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -15. Let d = n + -1. Solve -4*w = -2*u + d, -w = 3*u - 5*u + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095?\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*u - 45, -5*u - 5 - 4 = -z. Solve -36*q = -z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 10603?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1792)*-2 + 2 + sqrt(1792))*-6)**2.\nAnswer: -36864*sqrt(7) + 1034496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 1, 20\/33, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(475) + -1)*5.\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/3 - 250772*c**3\/3 - 5237455898*c**2 + 1163745332572*c\/3 - 21535641703801\/3.\nAnswer: -(c - 37)**2*(c + 125423)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 25, 15, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and (36\/15)\/4*(-1 - -11).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2728a2 - 8?\nAnswer: -2728aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15810 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -283 - -427. Calculate the highest common divisor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14555\/(-4828) + 4\/(-17)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -96 - -138. Suppose w = -b + 125. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 6*h + 1. Let q be w(-3). Calculate the common denominator of ((-66)\/(-8))\/(7 + q) and 45\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -80. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34\/3 + -232\/21. Let m be 3\/9*(55\/(-10) - -4). Which is the closest to u? (a) 2 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4112395 times -1?\nAnswer: 4112395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 23. Suppose -4*b = -s*b + 12. Determine a so that 2*a**3 - 5*a**4 + 4*a**4 - 3*a**3 + 2 + b*a**2 + 5*a = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*y**5*z**2 + 3*y**5*z - 138*y*z**2 wrt y.\nAnswer: -860*y**3*z**2 + 60*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 365051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -312422630 to the nearest 100000.\nAnswer: -312400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 671 and 2814113?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*v - 3*c - 18, 0 = v + 4*c + 4. Let o = v + 7. Suppose 4*j - o - 1 = 0. What is the nearest to 0.4 in -4, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3493*k - 66884. Give w(-19).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -65*f + 7. Let s(r) = -196*r + 20. Calculate 8*c(w) - 3*s(w).\nAnswer: 68*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*i - 0*i + 3, -3 = -w - i. Suppose 2*s + 2*s - 14 = 2*q, w*q = -4*s + 29. Suppose -2*u = -0*u. Solve u = b + 1, -2*f + 5*b - s = 2*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-480)*(-6)\/(-14)*2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 18089.\nAnswer: 28\/18089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - (-66)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 11. Suppose -5*a + 78 = 2*d, -r*a + 5*d - d + 52 = 0. What is the remainder when 16\/200 - 7044\/(-75) is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000091626807 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(600) - sqrt(600))*-3)\/(2*sqrt(48)\/sqrt(216)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 14.7, -1, 3\/17 in increasing order.\nAnswer: -1, -0.2, 3\/17, 14.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 - (2 + 3 - 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/(-5)*(17\/(-51) + 0). Factor -2\/5*z - 13\/5*z**4 + 0 + z**5 + 1\/5*z**2 + o*z**3.\nAnswer: z*(z - 1)**3*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/4474 and -11\/10.\nAnswer: 22370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000010 + -10011?\nAnswer: -10010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*p = -24, 2*p = 3*p - 4. Let q(o) = 2*o - o + 2*o**2 + 1 - o**2. Let l be q(y). Solve -2*k + 2 = -l*s, -s + 6 = -4*k - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-9882)*61*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 7*w + 261*w**2 + 272*w**2 - 4 - 4*w**3 - 533*w**2 to r + c*w**3 + d*w**2 + g*w + o*w**4 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = -4*d + 65. Solve -5*m = -3*m - d*p + 15, -22 = 4*m - 2*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4ac7 (base 16) to base 7\nAnswer: 106545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 - 6*o**2 + o**2 + o**2 + 4*o**2.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4285 * 3548\nAnswer: -15203180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1305437*-2.6.\nAnswer: 3394136.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:05 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.19, 25, 4, -8, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 610332 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 722 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50, 66, 82, 98?\n\"Answer: 16*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 14 = -4*s - 2, 5*s + 3 = k. Suppose k*g - 8 = 7. Suppose -2*h - 3 = -o + 4*o, g*o - 5 = -5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 9*m + 41. Let j be t(-5). Suppose h - j = 3*x + 48, 4*h - 386 = 2*x. What is the remainder when 371 is divided by h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 0. Suppose 5*c - 3*c - 16 = 0. Suppose -m - c + r = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211202 - 220012002?\nAnswer: -212100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 = 140. What is v rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.43 + -3.13. Let h = -3952\/3 + 1317. Which is the third smallest value? (a) h (b) 24 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o - o**2 + 4 + 3*o**2 - 3*o. Suppose 0 = -3*g + 5*i - 12, 3*g + 5*i + 14 = 2. Let f(h) = -3*h**2 - 6*h - 5. What is g*p(b) - 3*f(b)?\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.1, -6, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2543688 by -588.\nAnswer: -4326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**29\/z)*z*(z**(11\/3)\/z)\/z)**30 assuming z is positive.\nAnswer: z**(-760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by -3 - (3 + 31)*-1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 4, -13\/553, 7, 3.\nAnswer: -13\/553, 2\/15, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -7. Let c(t) = 2*t**2 - 31*t - 1. Let f be c(r). Solve 3*g + 6 = -2*g + 2*w, -g = -5*w + f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -5*h**3\/3 + 1161*h**2\/2 + h - 12393. Find the second derivative of x(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -996 divided by 4.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 10*h - 6. Let x be c(-9). Suppose -2*w + 175 = 5*u, -2*u = u + x*w - 105. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 37\/497844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -465224.1 rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26995496 is divided by 818045?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -13. Suppose -t - h - 9 = -3*t, 2*t - d = 3*h. Let 0*a**t - 1\/2*a**4 + 0*a + 0 + 0*a**2 = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) 0.3 (c) 637 (d) -1\/4 (e) -3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437582168?\nAnswer: 2, 1367, 40013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2789 - 3.6789. Which is the closest to 0.1? (a) -7 (b) 0.2 (c) 2\/9 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142334 (base 5) to base 15.\nAnswer: -1b7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24214 (base 5) in base 6?\nAnswer: 12213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4 + 6*o**3 + 6*o**2 + 6 + 2 - 16*o + 24*o. Let l(r) = 5*r**3 + 6*r**2 + 7*r + 3. Let g(z) = -3*f(z) + 4*l(z). Determine m, given that g(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4111.\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/((sqrt(10) - (sqrt(10) - -2*sqrt(10)) - sqrt(10))*-6).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 6*a - 30. Let u be l(-11). Solve 4*o - 5*z = 40, o - 3*z - u = 2*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.279591 - 0.779591. Let g = 4 - 4.4. Which is the nearest to -0.1? (a) s (b) 3 (c) g (d) -2\/73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 4, n: 4, p: 6}. Give prob of sequence pubu.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, k: 2, z: 2, j: 1}. What is prob of picking 2 z and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3862434*y**2 - 16701286 wrt y?\nAnswer: 7724868*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113906533 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 1. Suppose -o - 5*c + m = 0, 83 = 2*o + 4*c + c. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50743536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 6.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 36 - 50*m + 98*m - 47*m - 8. Let b be i(-13). Solve w - b = -2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 57*m**2 + 4*m + 3. Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 322 = -4*o, -13*f + 76 = o - 10*f. Which is the nearest to o? (a) -2 (b) -2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/2 + 189*p**3 + 36097*p**2\/2 + 35532*p + 17672 = 0. What is p?\nAnswer: -188, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2160 and 988740.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.297 - 5.3. Let g = q + 0.103. Which is the closest to 3? (a) g (b) 5 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -473*m**2 + 1313518*m + 8331.\nAnswer: -(m - 2777)*(473*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*f - 18*f + 33*f)*(2 + 0 - 3)*(2 + 2 - 3).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*s + 15. Suppose 0 = -s*h - 13 + 55. What is the greatest common factor of 28 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 1. Let y be a(-1). Suppose 5*h - 24 = -2*f, 2*f - y*f = -2. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -883\/517, -5?\nAnswer: -883\/517","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 5*c + 2*c**2 + c**2 - 2*c + 4*c**2. Let u(r) = 2*r**3 + 15*r**2 - 15*r + 1. Let b = 7 + -2. Let v(n) = b*p(n) - 2*u(n). What is v(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 + 25*k - 25*k + (2 + 51 - 9)*(-k - k + 5*k)*(-k**3 + 6*k**3 - 3*k**3).\nAnswer: 269*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, -4, 2, 46, -2 in increasing order.\nAnswer: -142, -4, -2, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2415114?\nAnswer: 2, 3, 13, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -750 + -2478. What is m rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:12 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (11\/2)\/(31\/372)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*(i*i**(-8)\/i)\/i)\/i))**(-1\/2)\/(i*i**(2\/5)*i)**39 assuming i is positive.\nAnswer: i**(-493\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7701458358038 minus 0.1?\nAnswer: -7701458358038.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (12903\/765 + (-8)\/(-60))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 2702605242.\nAnswer: 2702605234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 4*q - 1. Let m be w(5). Let c(k) = 2*k - 18. Let g(h) = -2*h + 19. Let a(f) = 5*c(f) + 4*g(f). Let p be a(8). Solve 0 = -x + m - p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34049121863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 29*g**4\/24 + 4*g**3 + g**2. Suppose 731 = 5*x + 716. What is the tens digit of w(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k)**(-10)*k\/k**4*k*k**(-2\/7)*k assuming k is positive.\nAnswer: k**(201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653677 is divided by 88?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734 = -13*j + 968 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 l when three letters picked without replacement from tffgbtlgbglftflltlb.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 11*o + 25*o - 11*o, 0 = 3*s - 3*o - 7*o - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) - 17\/(-3). Factor 3*c**4 - 6*c**3 + c**l - 3*c**5 + 3*c**4 + 2*c**2.\nAnswer: -2*c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 880293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 2*r**2 - 2*r. Let h be g(1). Let y(f) = f**3 - 11*f**2 + f - 16. Let c be y(11). What is the closest to h in 3\/11, c, 0.4?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 8 = a, a + 5 = 13886*x - 13887*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 832787 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21*(4 - 15\/(-9)) is divided by (3 - 2) + 240\/6?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*v + 1345*v - 101764 - 78958 = 377*v for v.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 313407130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1362 + 1360. Let k = 4.1 + 0.9. What is the third smallest value in -1\/4, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295949651?\nAnswer: 17, 659, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/24 - -2)\/(900\/(-270)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)*2 - (sqrt(77)*2*3 - sqrt(77)))\/(sqrt(112)*1 - -2*(sqrt(7) - sqrt(28)\/sqrt(4))).\nAnswer: -17*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5276*o - 5280*o + 52 = 4*s, -4*s + 7*s - 21 = -o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 2:41 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10371, -12, -4.\nAnswer: -10371, -12, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(14\/3)*v)**(-27)\/(v\/((v**(-10)*v)\/v)*v*v*v**(-38)))**(-36) assuming v is positive.\nAnswer: v**4608","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 21. Let j be i(0). Let z = 139 + -114. Let d = j + z. Solve -2*c - d - 6 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425627013?\nAnswer: 10937, 130349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411 = -15*n - 4*r + 673, 4*n + 4*r = -n + 82 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (27\/27)\/(29\/(-30) + 1). Solve 5*r = -2*d + h, 0 = -3*d + r + r + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87360\/51840 + 12\/81?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 82*a - 44. Is o(4) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120001022220010 + -10?\nAnswer: -2120001022220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12681\/8 + -1588. Let m = f - -37\/8. Find the common denominator of 19\/36 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/r*r*(r**(-2\/39)\/r)\/r*r)\/(r**(5\/2)*r**12) assuming r is positive.\nAnswer: r**(-901\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 10*w + 99. Suppose -5*h = -6*h - 8. Let n(t) = 2*t**2 + 32*t - 296. Let d(f) = h*m(f) - 3*n(f). Differentiate d(s) wrt s.\nAnswer: 4*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41257706 to the power of 1\/2, to the nearest integer?\nAnswer: 6423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -0.382857?\nAnswer: -3.445713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*t + 24 - 93, -t + 16 = n. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 10 - (-11 + 5 + 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 25*f - 5. Let y(b) be the first derivative of 2*b**3\/3 + 31*b**2 + 12*b + 321. What is 12*o(k) + 5*y(k)?\nAnswer: -2*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 - 1 = 0. Let w be (2\/6)\/(o\/(-105)). Solve 0 = -w*d - x - 4, d + 1 = -3*x + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*a*k**3*p**2 + 214436*a*k**2*p**2 - 53*a*p**3 - 1228385*k**3*p**3 + 20*k**2*p**2 wrt p?\nAnswer: -318*a - 7370310*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 13*k = 40. Suppose -2*l - 36 = -k*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k + 3*k - 55*k**3 - 8*k)*(-4 + 2 - 1)*(2 - 2 + 1) in the form d + f*k**2 + o*k + b*k**3 and give b.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -54204.03 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296\/30659 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 1. Let p(a) = 4*a - 1. Let c(w) = 7*p(w) + 6*q(w). Let g = -4 - -1. Determine c(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123313312.\nAnswer: 2, 79, 48779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x - 48. Let i be f(-12). Solve 3*c = 5*k - 4, 12 = k - i*k + 5*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1467, 1464, 1461, 1458, 1455, 1452?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 222773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/202 and 2\/9 - ((-2050)\/(-315) + -1)?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h**2 + 3316733*h*j + 236027466*j wrt h.\nAnswer: -8*h + 3316733*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-10)\/((-80)\/(-12)). Solve u*y**2 - 1\/2*y**4 - 1\/2*y**5 + 0 + 1\/2*y**3 + 0*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92658 by -15443.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 566*f - 826*f + 1016*f + 37800 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*k**3*s + 4*j*k**3 + 14*j*k**2*s - 28*j*k*s + 2*j*s + 22*k**3*s - 6*k**3 wrt k?\nAnswer: -6*j*s + 24*j + 132*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52477*c**3 - c**2 + 52481*c**3 - 3*c**2.\nAnswer: 4*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -30, -137, -316, -567, -890, -1285, -1752?\n\"Answer: -36*x**2 + x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2152 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c**2 - 2*c)*(4*c - 4*c + 2*c) + (-3 + 2 + 0)*(-c**3 - 2*c + 2*c) - 2279*c**3 + 3902*c**3 - 2380*c**3 + 5*c + 2*c**3 - 5*c.\nAnswer: -756*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -4. What is the second derivative of -2*x + x**3 + h*x - 6*x**3 wrt x?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d5775 - c?\nAnswer: 1d5767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 18*y**2 - 100*y + 209. Let u be l(10). Let o be (-1)\/(-2) - 9\/(-6). Let c(v) = 8 - v - o*v + 2*v. Determine c(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14853639 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3215314 (base 7) to base 3\nAnswer: 201212010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 10:45 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 - 19*q**3 + 30*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24171.06 + 24171. Let v = 1.2 + -0.2. What is the second smallest value in i, 6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 3 - 6*u**2 - u**3 + 2*u**3 + 5*u. Suppose 18*x - 22*x + 8 = 0. Suppose -p - 25 = -5*g + x*p, 0 = -p. Calculate o(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 2. Suppose -3*n - 6*x = -3*x - 51, 0 = 3*n - 4*x - 16. What is the highest common divisor of n and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3.03. Let t = 409.03 - 414. Let l = x - t. What is the closest to -2\/5 in l, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 534, 4571, 15478, 36675, 71582, 123619, 196206, 292763?\nAnswer: 416710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + m - 10 = 5*m, -3*m - 7 = k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116573 plus -9834?\nAnswer: 106739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o + 17 + 16 = 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -54, -81, -124, -189, -282, -409, -576?\n\"Answer: -l**3 - 2*l**2 - 14*l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 + 19.18. Let w = f + -32. Let c = w - -9. What is the third smallest value in 0.1, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u + 10 = 5*g, -3*u - 3*g = -6. Let o(a) = -a**2 + 10. Is o(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-100)\/(-225) + 112\/22?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*i + 6787 + 5666 = 0 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/90 and -34\/225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10179 (b) -5 (c) -3\/2 (d) -1\/6 (e) -1 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7 + 63 = 0. Let j be (-132)\/w + 4\/14. Suppose -26 = -4*f + 2*l, 2*f + 12 = 3*f + j*l. Calculate the least common multiple of f and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**4 - 13*l**3 + 22*l**2 + 58*l - 108. Let q(k) = 24*k**4 - 38*k**3 + 66*k**2 + 173*k - 326. Let s(o) = 7*m(o) - 2*q(o). Factor s(v).\nAnswer: (v - 13)*(v - 2)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 48.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 2550*j**2 + 10218*j - 2. Determine r(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/119815 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1372 + 2325. What are the prime factors of m?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 3, a: 1, u: 5, w: 4, f: 1}. What is prob of sequence wfu?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, j: 12}. What is prob of sequence uuu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1979 - -1975. Let m(x) = -x**2 + x. Let y(i) = -5*i**2 + 5*i + 3. What is o*m(d) + y(d)?\nAnswer: -d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43511241*g**3 + 98*g**2 - 289*g + 83 wrt g?\nAnswer: -261067446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 2)*(-1)\/3. Suppose 4*p - 480 = -w*p. Suppose -5*i - p = -7*i. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/9)\/(62\/93))\/(1\/(-9)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k - 1. Let g be h(2). Let p = g - -18. Differentiate p*r**2 - 4*r - 1 + 4*r with respect to r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14*s**2 - 8*s + 8. Let j = 7 + -2. Let q(a) = j*a - 1 + 3 + 9*a**2 - 7. Give 5*i(x) + 8*q(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3*g - 15. Let r be o(13). Suppose 2*t - 5*f - 386 = 0, t + 3*f = -f + r. Suppose 3*m = t + 305. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101000001100111001 (base 2) to base 3.\nAnswer: -10021021102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 10:37 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 679 and 636.\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -81\/4. Determine u, given that -1\/2*u**2 + 0 - f*u + 1\/2*u**4 + 0*u**3 + 1\/4*u**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -0*n + 3*n + 7, 4*s - 12 = 4*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -3*z**2 - 2\/3*z**3 - 4*z - 3. Factor n(j).\nAnswer: -2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 + 204 - 6*y**4 - 204 + (-2*y + 3*y + y)*(0*y**3 + 0*y**3 + 2*y**3))*(-5 + 1 + 2)*(497*y + 546 - 546).\nAnswer: 1988*y**5 - 2982*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016899859 rounded to seven decimal places?\nAnswer: 0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 30*n**2 + 91*n - 9. What is the units digit of v(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*l + 749*l + 202*l + 19266 + 42174 = 0 for l.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a hour in seconds?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 196224 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(1900) + sqrt(1900) + sqrt(57)\/sqrt(27) + sqrt(171) + -2)**2.\nAnswer: -200*sqrt(19) + 190081\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 26 - 15 = 3*c, -c + 2*x = 23. Let z = c - -20. What is the third derivative of -12*g**5 + z*g**2 + 15*g**5 - 6*g**2 wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 80, 77, 74, 71, 68?\n\"Answer: -3*s + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -389, -398, -421, -464, -533, -634?\n\"Answer: -y**3 - y**2 + y - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-5)*f*f)**(-29) assuming f is positive.\nAnswer: f**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(72))**2 + -4)*-3 - (3 + 1*sqrt(162))**2*6.\nAnswer: -1233 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 4*r = -13*y - 1, 0 = 5*y - 4*r + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771361278?\nAnswer: 2, 3, 19, 113, 59879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 11. Let n(k) = 2*k - 5. Suppose 3*a = -0 + 3. Let u = a + -6. Calculate u*n(l) - 2*b(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:07 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*p - 8 = 0, 47 = -11*z + 17572*p - 17569*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2676678 divided by 237.\nAnswer: -11294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 5, 13, 13, -1, -35, -95, -187?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*4*(4*sqrt(190) - sqrt(190)))\/((sqrt(90) - (sqrt(90) - -4*sqrt(90) - sqrt(90))*3)\/sqrt(9)).\nAnswer: -24*sqrt(19)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14163 - -44\nAnswer: -14119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 less than or equal to -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -3*j - 11. Let w = j + 34. Sort w, 4, -5 in decreasing order.\nAnswer: w, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - v + v + (18*v**2 - 14 + 33023*v - 33023*v)*(3*v**2 + 3*v**2 - 4*v**2))*(0 + 1 - 2).\nAnswer: -35*v**4 + 28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 5)*(-1 + 4 + 0)*(-46 + 46 - 7*s)*(3 - 1 + 0) + 4*s - 3*s + 0*s to the form t*s + q and give t.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = m - 14. Solve 0 = -3*u + m*f - 2, -5*u + f = -5 + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*g + 30, -49*g + 47*g + 2*x + 12 = 0. Sort 4, 1, 6, g, 5 in ascending order.\nAnswer: g, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 7*n - 2. Let v be d(-8). Let m = -58 + 65. List the prime factors of (v - -13) + m*7.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 695*q + 4177. Calculate n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4018345*1.9\nAnswer: 7634855.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 19 = 2*f. Suppose 102 + f = h. Suppose 4*x - b = 41, -237*x + 238*x + b = 14. What is the greatest common factor of h and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 1. Let z be c(5). Solve 0 = -s + z*s + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-104))\/(57\/8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 + 24*w - 50. Let z = -53 + 62. Let a be f(z). Which is greater: a or 38\/9?\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*l + 22, 0 = 4*o + l + l + 16. Which is the third biggest value? (a) -0.4 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10105 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 6. Let s be f(-5). Suppose -41*p - 14 = 68. Does 15 divide s - 33\/(6\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 24*z - 24. Let d be l(8). Calculate the greatest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r**2 - 39*r + 38. What is p(8)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 21 = 3*l, -38 = -3*l - 3*k + 13. Let h = 2 - -1. Suppose -4*w + h = -5. Calculate the smallest common multiple of w and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37027187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(q + 3*q - 2*q) + (-q + q - q)*(-3 + 4 + 1) - 8*q + 5 - 5.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53987344 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from eteteeeeetttt.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15884 - 1773 = -503*c - 476 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -2)\/(-6)*-3 + -1. Put h, 3, -5 in increasing order.\nAnswer: -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5 - 192*t**4 - 1140*t**3 + 216432*t**2 - 513216*t - 67744512.\nAnswer: 3*(t - 36)**3*(t + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25338447?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8968 + 18493. What are the prime factors of t?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, 0, -4\/3.\nAnswer: -4\/3, -2\/29, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/107, -3, -0.1, 2\/13, 0.2 in descending order.\nAnswer: 0.2, 2\/13, -6\/107, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 209, 473, 853, 1355, 1985, 2749?\nAnswer: 3653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 96\/(-15)*(-10)\/4. Let s = -9 + a. Factor -s*q - 8 + 5*q + 2 - 7*q + 3*q**3.\nAnswer: 3*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 90 - -556f5?\nAnswer: 55785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-1)\/(-2 + 3). What is the tens digit of (u\/3)\/((-4)\/138)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 733 + 7085?\nAnswer: 7808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27, 28, 27, 24, 19?\n\"Answer: -s**2 + 4*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 4*w + 115, 5*w + 145 = -5*f. Let m be (-2)\/8 + (-6)\/8. List the prime factors of m\/(36\/f + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -539 - 611. Let x be 6\/(-8) - g\/40. Let r = x - 27. Solve t - 4 - r = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + 4 + -2 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660 a factor of 3437641876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67.6 - -62.6. Which is the closest to 2\/15? (a) 0.1 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*w, -5*a + 5*w = 23 + 2. Let u = -9 - a. Is u != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by -49.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13953, 0.4, 0.6, -0.2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 3:29 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -9 - 11. Let m = -19 - -22. Solve -m*x + 5 = 5*c, -2*c + 5*c - w*x - 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183b (base 15) in base 14?\nAnswer: -1c99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2070*r**2 - 138*r - 5460*r**2 + 49*r + 34*r + 53*r as m*r**2 + z*r + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4560707 is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004997132 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1756, 0, 68.\nAnswer: -1756, -27, 0, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -748 - -916. Calculate the remainder when 225 is divided by l.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 140 - 140.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + 327aab2?\nAnswer: 327aaa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evv when three letters picked without replacement from {e: 3, a: 5, v: 3, n: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - (2 - (1 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/573558 and 2\/23679.\nAnswer: 5162022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -547 - 19*i**2 - 527 + 1074. Suppose -2*v - 3 = -7. Let b(l) = l**2 - l**v - 2*l**2. Calculate c(b(a)).\nAnswer: -76*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 45.2, 0.5, 13, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 3 - 3)*(-k**2 - 3*k + 3*k) - 2*k**3 - k - 2*k**3 + 5*k**3.\nAnswer: -2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4425.6?\nAnswer: -4427.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - 2.9. Suppose -4*l + 138 = 3*m + 544, 0 = m - 2. Let k = -415\/4 - l. Which is the second smallest value? (a) -1\/11 (b) 0.2 (c) x (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9873 + 9953. Let m be 19 + (2\/5 - (-68)\/(-20)). What is the greatest common divisor of m and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220636350 * -0.1\nAnswer: -22063635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + j**2 + 10*j**2 + 12*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 3)*(-20 + 5*s**2 + 20 + (-1 - 5 + 4)*(-4*s**2 + 3*s**2 + 2*s**2)) in the form u*s**2 + v*s + n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143122 (base 5) to base 12.\nAnswer: 35b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 20*j**2 + 542*j - 496. Give r(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0.8 (c) -4 (d) 0.3 (e) -0.33 (f) -1.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.096637\nAnswer: 0.289911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/4, -29.2, -1800?\nAnswer: -1800","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-60)\/8)\/1*(2352\/(-9) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 3, 2, -376, -5 in decreasing order.\nAnswer: 10, 4, 3, 2, -5, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20650, 82663, 186024, 330739, 516814, 744255, 1013068?\nAnswer: 1323259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**40*v)**(-4\/35)*v\/(v**10\/v)*v**1 assuming v is positive.\nAnswer: v**(-93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:14 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = 0. Calculate the remainder when ((o - 1)*-3)\/1 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -222, -72, 198, 624, 1242, 2088?\nAnswer: 3198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000210 (base 3) in base 14?\nAnswer: 1aa02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, h: 2, l: 2}. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32088654 and -0.4?\nAnswer: 12835461.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 17288 = 4*p + 377540. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(270))\/sqrt(10).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwaavenn. Give prob of sequence nn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**3 - 141*r - 5*r**3 + 0*r**3 - 136*r to the form t + k*r**3 + z*r**2 + m*r and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - m + 35 = -5*m, m = o - 11. Suppose d = -o + 44. Differentiate -30 + d + 6*t**3 - 2*t**3 wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(593245*y**2 + y - 4*y**3 - 279 - 593247*y**2 + 3*y**3).\nAnswer: -2*y**3 - 4*y**2 + 2*y - 558","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*d + 4, 1 = -2*r + 5*r + d. Let c(l) = l + 7. Let n be c(14). Suppose 3*t + n = -r*t. Let y(w) = w + 4. What is y(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 1154970*b**2 + 4619940*b + 4619960.\nAnswer: -5*(b - 230998)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*n**3 + 1177*n**2 + 87*n**3 - 1177*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191587806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 80 - 29 + 3*g - 36 + 4*g**2. Is i(-5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most 298800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7369, 29348, 65941, 117148?\nAnswer: 182969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(15\/7))**24)**42 assuming l is positive.\nAnswer: l**2160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, a: 1, g: 1, r: 1, z: 1}. What is prob of picking 1 z, 1 r, and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(1\/(-1618)) + -1. Let f = -14548\/9 - u. What is the common denominator of 124\/(-20) + (0 - 0) and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*h + 23. Let d = h - -48. Let x = -12 + d. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 74876601*b**3 - 49461772 wrt b.\nAnswer: 224629803*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/79? (a) -7 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1013735870 to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/3 (b) -94.7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x - 5*x - 36*x)*(0 + x + 0) + 2*x**2 - 13*x**2 - 5*x**2.\nAnswer: -65*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1805*0.5.\nAnswer: -0.09025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*v**4 - 1211711*v**3 - 2*v**2 + 457*v - 798.\nAnswer: -192*v - 7270266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.2 - -38. Let l = -0.123 + -78.877. Let s = l - -76. What is the closest to g in -5, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + 2fb?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 74, 37, -34, -127, -230, -331, -418?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-784)\/160 - 2\/20. Let g(v) = 4*v**2 + 6*v - 10. Let b(y) = -5*y**2 - 6*y + 11. Let f(r) = u*b(r) - 6*g(r). Determine q, given that f(q) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1161966.\nAnswer: -2323932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 3738843540281?\nAnswer: -3738843540275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -211 - -227. Let k(w) = -8*w + 20*w - h*w. Let g(t) = 18*t. Determine g(k(d)).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.268 + 4.268. Let t = -68\/165 + 6\/11. Let p = -4 + 9. Which is the nearest to -1? (a) t (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/119)\/(21\/588).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -308878.2 to the nearest one thousand.\nAnswer: -309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 = 1. Suppose 5*m = 4*m - 4*x - 13, s*m + 2*x - 7 = 0. Let a be ((-9)\/m)\/(24\/(-64)). Is a greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 + 40470*u**3 + 40476*u**2 - 40470*u - 40473 = 0 for u.\nAnswer: -1, 1, 13491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) 14 (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v + 84 = -34*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1728)\/(-594)*44\/(-4)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107433 rounded to the nearest one thousand?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b + 38*b - 7*b - 16*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100122 - 121?\nAnswer: -100303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5615 or 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9\/8)\/3*(-12)\/27\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 343. Suppose -181 = 8*o + 491. Let c = o + 109. Calculate the greatest common divisor of f and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-91 + 75 - -29).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 90*o**2 - 4*o + 4. Let d be t(1). Calculate the greatest common divisor of d and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 3. Let r(m) = 3*m**2 - 5. Suppose -3*k + 5*q - 20 = 0, -3*k - 4*q + 16 = -k. Let c = -3 - k. What is c*r(w) - 5*i(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - t**2 + 4*t)*(-959*t - 173*t - 956*t).\nAnswer: 2088*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 35 - (3\/6)\/((-2)\/4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2430 and 91\/648.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.0024 + -0.0576. Let n = o + 0.06. Let u = n - -8.000028. Round u to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**4\/12 - 3*m**3\/2 - 7*m**2\/2 - 2*m. Let l be h(-8). Let x be (2 - l) + -3 + -3. Are -6 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 125*v**7\/42 - v**4\/2 - 3227*v**3\/3 + 8453*v. What is the second derivative of m(r) wrt r?\nAnswer: 2500*r**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 349806*t**2 - 10357050660*t - 9293060729832.\nAnswer: -3*(t + 926)*(t + 57838)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1434747 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2597629 a multiple of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 15, 96 = -3*d + 3*i - 240. Let w = 109 + d. Solve -3*r = -c + 11, -4*c - 21 = r - w*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 444622 - -1620?\nAnswer: 446542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1015042973*z**6 - 3*z**2 - 6*z - 40996.\nAnswer: -121805156760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 2*x - x)*(2 - 1 - 3) - 2 - x + 2 + 3*x + 0*x - x + 3*x + 2 - 2 - 4*x - x + 2*x in the form a + y*x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1875ml in litres?\nAnswer: 0.0041875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -39 + 10*m - 8*m + 2*m. Let r be h(11). Are 8 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1dfd6 + 2?\nAnswer: 1dfd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (-10)\/((-9 - -8)*2\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - 2*j**2 - 2*j + 3. Let i be l(3). What is the highest common factor of 40 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93753*f**3 + 118469*f**2.\nAnswer: 562518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3\/3 - 4*k - 2. Let i(h) = -h**2 - 1. Let j(a) = c(a) - 4*i(a). Let o(w) = -w + w - 3*w + 4*w. Give o(j(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 82?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 254 = 154. Let w(f) = -7*f + 18. Determine w(z).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 - p + 6. Determine m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -251\/5 and 58919 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 380465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98292 divided by -4.\nAnswer: -24573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (55\/((-4125)\/1380))\/((-3)\/4035)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 766, 784, 804, 826?\n\"Answer: b**2 + 15*b + 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -72318 - 0.1\nAnswer: -72318.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -70381 in ascending order.\nAnswer: -70381, -6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248529 and 35824.\nAnswer: 3976464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5 + 32\/40. Let k = g + -23. Let o = -20 - k. Solve -o*j + 2 = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 7*y - 13*y + 4*y - 5*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327227447 to the nearest integer?\nAnswer: 18089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 15*y - 45. What is the remainder when k(-9) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4703 (base 9) to base 12.\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3403 - -3406. Factor -81*s**2 - 144*s + 48 - 21\/2*s**b.\nAnswer: -3*(s + 4)**2*(7*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v - 5*b = 35, -4*b - 8 = 0. Let k(x) = x + 3. Let a be k(v). List the prime factors of (4\/a)\/(1\/30).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475743819 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*11\/((-594)\/12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3721358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -384, -432, -480, -528?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:08 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)*1*-3 + sqrt(270))\/(sqrt(150)*-1 + sqrt(150) + (6*sqrt(96) - sqrt(6))).\nAnswer: -6*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175340634293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 1a1?\nAnswer: 19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 3\/6*4) + 38880\/1440?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - u = -122, 5*u = f + 3 - 23. Suppose -f = x + 4*x. Let m = x + 14. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*v, i + 0*i - v = 0. Suppose -5*n - 1876 = o, -4*n - 19*o - 1497 = -22*o. Let h = n + 377. Solve -3*d - 3*g - h*g + 2 = i, 5*d = -2*g - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 207558*w**2 + 207558*w**2 + 152*w**5 - 3*w**5 + 3*w**5 + 3*w**5 + (w - 4*w + 2*w)*(4*w**2 - 3*w**4 - 4*w**2) - 3*w**5 + 2*w**5 + 3*w**5.\nAnswer: 160*w**5 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 + 54*m**2 + 53*m - 12. Determine n(-17).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/97220570?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 451726611 and 1373.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 16\/(-6))*(-14)\/28. What is the nearest to -7\/9 in 2\/9, 0.2, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325593 is divided by 646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165 + -63. Suppose -q = 4*r - n, -65 = -3*r + 7*q - 2*q. What is the highest common divisor of 50 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616204 <= -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -63*z**2 + 2*z. Let d(j) = -24*j**2 + j. Let v(t) = -5*d(t) + 2*p(t). Let n(i) = -2*i**2. What is v(n(g))?\nAnswer: -24*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120965 and 585?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2200410 divided by -690\nAnswer: -3189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 47. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 + 1 = 0. Suppose -t = 4*l - 7*l. Solve l*y + 3*y + 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 - 6*f - 8. What is the units digit of b(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 8 + -1 + 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.5 + -50.7665. Let q = -0.0335 + z. Let u = 0 - -0.2. Put 1\/7, -3, q, u in decreasing order.\nAnswer: u, 1\/7, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*t - 8 = 0, t = 10*u + 6*t + 20. Which is smaller: u or -65\/12?\nAnswer: -65\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5\/4, -4\/7, -14 in increasing order.\nAnswer: -14, -4\/7, 0.5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -343*r**3 + 343*r**3 + 9*r**2 - 3*r**5 + (r**4 - 4*r**4 + 4*r**4)*(3 - r - 3) - 2*r**5 + 3*r - 3*r.\nAnswer: -6*r**5 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 231 - -5?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h + 28*h + 54 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1263, 5, -1\/9, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 7\/40*b**5 - 1\/48*b**6 + 1\/6*b**3 - 252*b + 0 + 3\/4*b**2 - 43\/96*b**4. Determine m, given that x(m) = 0.\nAnswer: -2\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*28\/112.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3288 and 1295746.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5.731*-221\nAnswer: 1266.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1011111000 (base 2) to base 9\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**3 + a + 1. Calculate k(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725049*h**2 - 362520*h**2 - 362505*h**2.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -13*w**5\/20 - w**2\/2 + 13*w. What is the first derivative of f(y) wrt y?\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*a, 0 = a + 4*o + 543 - 548 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 9. Is (-4)\/10 - (-2984)\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 (base 9) in base 6?\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 74*d - 10 + 2 as c + b*d and give b.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -f + 3, -15 = 2*f - 7*f - 2*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, -2620 in descending order.\nAnswer: 0, -1, -2, -2620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o - 14*o**2 - 4 + 11*o**2 + 7 + 6*o**2. Give j(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -84. Let u be i\/15*1 - 78\/(-15). What is the second derivative of 33*n - 6*n**u - 203 + 203 wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 1\/4*f**4 + 74 + 0*f**3 + 4*f - 3\/2*f**2. What is m(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - t - t)*(2 + 1 - 4 - 2*t)*(3*t**2 + t**2 - 2*t**2) as p*t**2 + d + z*t**4 + g*t + c*t**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.43 - 10.57. Which is bigger: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 616.104 + -617. Let j = c + 0.774. What is j rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (568\/(-100))\/((-1456)\/140) and 64\/117.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:05 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18523 + 11939. Is f less than -6584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -4) + -2 + 0. Suppose -z - 4*c = -2*z - 7, -z - 12 = -5*c. Sort -4, r, z in increasing order.\nAnswer: -4, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 17. What is the units digit of -12 - -42 - (n - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130949, 130957, 130965, 130973?\n\"Answer: 8*l + 130941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -20*r**3 + r + 13*r**3 + 10*r**3 + 2*r**2 + 1 - 3*r. Let n be l(1). Solve -3*d + 2 = -n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3, 2\/3, 2\/1199, 0.03?\nAnswer: 2\/1199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13188 and 4404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1099 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12277316?\nAnswer: 2, 3069329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/77, 5, 0.3, -298.2?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + 6*p)*(-p + 2*p + p)*(440 - 135 + 1062).\nAnswer: 8202*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.9369 plus -11057697?\nAnswer: -11057782.9369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:25 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a2c8c59 - 5?\nAnswer: -5a2c8c61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -32. Suppose -10 - 2 = q*x - j, 3*j = 2*x - 4. Which is the smallest value? (a) x (b) -0.1 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - (2 + -2 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-23\/3)*u**35 assuming u is positive.\nAnswer: u**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 40, 65, 90, 115?\n\"Answer: 25*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-12)\/(-72))\/((-5)\/4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.4 and 1970 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*m - w, -3*w - 15 = m - 0*m. Calculate the remainder when 20 is divided by -1*(1 + 1 + m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**3 + k - 2 + 3*k**3 + k**3)*(-1620*k + 55631 - 55631).\nAnswer: 3240*k**4 - 1620*k**2 + 3240*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/30 + 4*m**2. Let h(j) be the third derivative of -j**5\/60 + 10*j**2. Give h(f(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024017707 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 351852 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3907456732?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tetlttlttzlz. Give prob of sequence tztl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 51150?\nAnswer: -51142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111\/(-148)*(-30)\/(-342))\/(15\/6).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u**3 - 9*u**2 - 5*u + 7. Let b(v) = -3*v**3 + 5*v**2 + 3*v - 3. Let m(g) = -5*b(g) - 2*t(g). Give m(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + 7*r**3 + 11*r**3 + 16*r**3 - r**4 + 2*r**2 to the form z*r + q*r**3 + h + c*r**4 + j*r**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 15*i. Let q(n) = -4*n. Let l(t) = 7*q(t) + 3*y(t). Let p(g) = 4*g**2. Let k be p(-1). Let b(z) = 4 + 0*z**2 + z**2 - k. Give l(b(s)).\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2) + (-6)\/(-20))*-5. Let u(w) = -w**2 - 3*w + 2. What is u(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - g - 1. Let v be i(-1). Suppose v*x - 17 = 3. Suppose -2*a - 4 = -18. What is the least common multiple of a and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 1702, 3829, 6806, 10633, 15310?\nAnswer: 20837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 74, 0, -11 in descending order.\nAnswer: 74, 5, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1701 + -4.\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - v - 19 + 15, -5*c - 6*v - 20 = 0. Put c, -34, 3, 0, -2 in ascending order.\nAnswer: -34, c, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 1955*v - 9 = -1952*v, 0 = -2*k + v + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7513?\nAnswer: 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7828 + -2337. What is the tens digit of m\/34 + (-3)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 2*q**2 - 16. Let i(d) = 13*d. Give i(g(x)).\nAnswer: 52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/((-3)\/(-10362)))\/(-1). Let t = 41425\/12 - g. Calculate the common denominator of -19\/22 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 84*g**2 - 12*g. Let w(l) = 41*l - 4. Let t(d) = -10*d + 1. Let f(h) = -4*t(h) - w(h). Determine x(f(j)).\nAnswer: 84*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 626.6 + -627. Which is smaller: -17\/6 or u?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l**3 + l)*((2*l + 0*l + 0*l)*(-l + 5*l + 5*l) + (-11*l + 14*l - 22*l)*(0 + 0 - 2*l)).\nAnswer: 112*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(117) - 3*sqrt(208) - (sqrt(26)\/sqrt(2) + -5 + sqrt(13) - sqrt(1053)*-3).\nAnswer: -50*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2\/2 - c + 3. Let x(z) = -z - 3. Let p be x(-3). Suppose p*m = 3*m + 6. Give d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13380, 13147, 12510, 11265, 9208, 6135?\n\"Answer: -34*i**3 + 2*i**2 - i + 13413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5913*v + 5913*v + 5888*v - 17718*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(2 - 2*h - 2) + (-6*h + 5*h - 5*h)*(0 + 8 - 3) + 16*h - 20*h - 39*h + h - 2*h + 0*h to q*h + p and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 114655638*s**2 + s + 51423071 wrt s.\nAnswer: 229311276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/1911854 and -19\/4321.\nAnswer: 284866246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 15*m**2 + 90*m - 19. List the prime factors of p(-21).\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17631?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**3*g*u**3 - d**3*g*u**2 + d**3*g*u - 28*d**2 + 46*d*g*u**3 - 6*g*u**3 + 6*g*u**2 wrt u.\nAnswer: 18*d**3*g + 276*d*g - 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/((-52)\/(-39))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.722, 354, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*v - 50512, -b = 6*v - 3*v - 10087. Is b a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386694 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12100111122 (base 3) in base 12?\nAnswer: -50b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-56)\/(-32))\/((1\/22*-1)\/(-46)) is divided by 196.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 25.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/4*(-6)\/14. Let z be 14\/12 + 51\/(-34). What is the second biggest value in q, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-11 + -9)) + -8 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4392 + -4389. Which is the smallest value? (a) -4 (b) -2\/9 (c) -0.1 (d) 85 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 0*x - c + 8, -3*x = 3*c - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) -34 (c) -3\/2 (d) -8\/5 (e) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11778756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 9*z - 8. Let h be i(-10). Suppose -59 = 3*c + h*c + q, 3*c + 17 = 4*q. Let a be 5\/15*6\/c. What is the nearest to a in 0.3, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -674051, -673823, -673593, -673361?\n\"Answer: s**2 + 225*s - 674277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 3*y - 2*y. Suppose -3*i + 5 = 2*u - 4*i, 4 = 3*u + 2*i. Let n(d) = -u - 3 - d + 5. Determine m(n(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*a**2 + 12*a**2 - 12*a**2 + 22*a**2 + 10*a**2 + 24*a**2 + a**2 - a**2 + a**2 + (-1 + 1 + 2*a)*(0 + 0 - 2*a))*(2*a**2 + 2 - 4 + 1).\nAnswer: 184*a**4 - 92*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(1 + sqrt(3)) - sqrt(3)).\nAnswer: 2*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/7))**(-50))**10 assuming j is positive.\nAnswer: j**(-4500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -10. Suppose 5*g = 4*q - y, 2*g = -q - 0*q + 2. Let o = -17 + 31. What is the smallest common multiple of q and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**4\/5 - 7122*o**3 - 160318*o**2\/5 - 71256*o\/5 = 0.\nAnswer: -4, -1\/2, 0, 8907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o. Let g(w) be the third derivative of -w**5\/20 - 8*w**2 + 3*w. What is g(d(l))?\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (16 - 0) - (1 - -32)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r + 18. Suppose -8*i - 113 = -9*i. Let a = 245 - i. What is the remainder when a is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1846 divided by 357\nAnswer: 1846\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163.5 + 82.7. Let u = -80.79999403 - w. Round u to seven decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9865 = -343*n - 69*n - 6816 - 9687 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 10) to base 15.\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 54.93. Let o = -0.95 - x. Let c = o + 0.02. What is the third biggest value in c, -0.4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**2. Let f(s) = 4*s**2 - 5*s - 5. Let l(y) = 3*y**2 - 4*y - 4. Let j(d) = 4*f(d) - 5*l(d). What is m(j(o))?\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-8 - (-176)\/24) - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**6\/60 + m**5\/30 - 79*m**2. Let b(r) = -5*r**3 - 7*r**2. Suppose -52*g + 175 = -33. Determine g*b(l) + 14*n(l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4290 is divided by 3260?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 4*k - 1. Let g be (0 + 1)\/(3 + 52\/(-16)). Let t be o(g). Put t, 11, 4, -2 in decreasing order.\nAnswer: 11, 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-26))\/(4\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47707 * -3007.\nAnswer: 143454949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1349 or 25640\/19?\nAnswer: 25640\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -u + 5*d + 8, -3*u = 5*d + 29 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 10. Let k be l(7). Let u = -14 + k. What is the smallest common multiple of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**3\/3 + 12*t. Let r(u) = -u. Determine o(r(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**4\/24 - 3*l**3\/2 + 23*l**2 - 1. Let z be s(-9). Solve -3*i - 8 = w, -3*w - 6 = 3*i - z*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*23\/((-23)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54645802?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 1799 + 861 = 0. Let f be (3 - m\/35) + (-165)\/(-35). Solve 6*s - f*d = s - 15, 4*s + 3*d - 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -343, 6, 1\/69, -0.2 in descending order.\nAnswer: 6, 1\/69, -0.2, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1954897\/145 + -13482. Calculate the common denominator of -19\/18 and z.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 71\/((-1)\/(-1))*54\/270. Let z = -41\/30 + w. Find the common denominator of ((-824)\/(-8))\/(-16 + 2) and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/14*(1 - 22). Let d = 64 - k. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h**3 + 718376*h**2 + 10751574400*h + 7167396992.\nAnswer: 4*(h + 29932)**2*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(104)*-1 - sqrt(104))\/(sqrt(800)*1 + sqrt(800)) + (-4 + sqrt(1053)*1)**2 + 4.\nAnswer: -72*sqrt(13) + 1073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2\/49 (c) 0 (d) 2 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5*3)\/(((-3)\/33)\/(59\/(-649)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098.847485 rounded to 2 dps?\nAnswer: -1098.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13646159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 7. Let a be i(-5). Let x be (-23)\/(-7) - a\/7. Let m be -2*(-2 - (-4)\/4). Solve -m*l + 1 = -x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47971 is divided by 618?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**3\/3 - 2*i**2 - 4*i + 1. Calculate the lowest common multiple of k(6) and ((-30)\/24 + 3)\/((-1)\/(-4)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1737 (base 10) to base 15\nAnswer: -7ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 6. Calculate the remainder when 149 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23489 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 33*f**2 + 272*f + 35. Let r be u(-15). Solve k - 3*w = -r, k - w = -4 + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 0*m**6 + 0*m - 97\/210*m**7 + 13 + 3*m**2 + 25\/3*m**4 + 0*m**3 + 0*m**5. Find the second derivative of u(v) wrt v.\nAnswer: -1164*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21864, 21685, 21502, 21315, 21124, 20929?\n\"Answer: -2*d**2 - 173*d + 22039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - c**3 - c**3 + (13*c**2 - 7*c**2 - 3*c**2)*(-3*c - 2*c + 3*c) + (-129 + 129 - 7*c**2)*(4 - 5*c + 3*c + c).\nAnswer: 3*c**3 - 28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5796, -5947, -6088, -6213, -6316, -6391, -6432?\nAnswer: -6433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 898830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - -3)*1\/5*-3. Suppose -6*t + 15 = -11*t. Put z, t, -1 in increasing order.\nAnswer: z, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**3 - 13230*u**2 - 131925*u - 329500 = 0.\nAnswer: -2636, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h + 60269 - 455657 = 0. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/60 - (3 + -1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4 - -2.9. Let v = 0.54 - 0.6. Let z = 2.06 + v. Which is the biggest value? (a) j (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/(-560)*4)\/(-33))\/(1\/(-7)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + f + f + (4 - 3 - 3)*(-183 - 16*f + 183) + 148*f - 48*f - 65*f to j*f + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 0.4, -6\/25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 6*a + 2*a)*(3 + 2*a**3 - 3) + 0*a - 2*a**4 - a**3 + 0*a.\nAnswer: -14*a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(7) + sqrt(14)\/sqrt(2)) - sqrt(17)) + (sqrt(17) - ((sqrt(272))**2 + 0)).\nAnswer: -272 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 24*r**2 - 5*r - 18. Let t(n) = -2*n**3 + 25*n**2 - 7*n - 19. Let x(z) = 3*c(z) - 2*t(z). Find the second derivative of x(h) wrt h.\nAnswer: 6*h + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 266, 506, 746?\n\"Answer: 240*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 202275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -31145, -2, -25 in ascending order.\nAnswer: -31145, -25, -2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2547 - 5*b - 5109 + 2562. Let f(c) = 10*c + 2*c - 2*c. Let m = 8 - 21. Calculate m*u(t) - 6*f(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 4*c**2 + 5*c + 20. Let y be x(-4). Solve -5*k + 3*b - 27 = y, -3*b - 51 = -k - 66 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 722 - 722. Solve -2*a + k + 5 = w, -5*a + 4*k + 2 = -12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186776.\nAnswer: 2, 37, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32.772 or -1?\nAnswer: -32.772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h - 221 + 101 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/213 and -163\/39320226.\nAnswer: 39320226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (40 + -52)) + 4 - ((2 - -93) + -1).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-77061)\/(-9))\/((-2)\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162177 is divided by 209?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**2*t**4 - 8*b**2*t**2 - b**2*t - 11*b**2 + 128*t**4 wrt t.\nAnswer: -96*b**2*t + 3072*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/9 - 4904*b**3\/9 + 69598*b**2 - 203896*b = 0 for b.\nAnswer: 0, 3, 132, 2317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:02 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -57, 4, -1\/9, 1 in decreasing order.\nAnswer: 4, 1, 0.1, -1\/9, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.91 + 0.09. Let v = h + -38. Let y = -7.8 - v. Put y, -1\/4, -4, -0.02 in descending order.\nAnswer: y, -0.02, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/14*8\/12. Let x = -15 + 11. Which is the second smallest value? (a) 0.1 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/32 (b) 0.1 (c) -38 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80342601 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 15.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*i = 781*i - 198 - 126 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 10)*(-6)\/(-18) + (-20 - -18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20172889?\nAnswer: 11, 19, 263, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 133 - 147 = -2*c, -3*q - 18 = -3*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/32)\/((-54)\/(-288))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 210 = 5*u, -2*c - 164 = -3*u - 43. Suppose -x + k = -u, -x - 5*k - 4 + 23 = 0. Let o = -16 + x. Calculate the remainder when 53 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/17 + -1\/17. Which is the nearest to -2\/7? (a) d (b) -1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*w + 60*h - 56*h, 8 = -4*w - 2*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*k - 61. Let w = k - 26. Let u(g) = -g**3 + 2*g**2 - 2. What is the lowest common multiple of u(-2) and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzvzzvzzvo. Give prob of sequence vv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*h**3 - 185*h**2 - 10*h + 240.\nAnswer: 5*(h - 2)*(h + 1)*(13*h - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 92. Suppose 0 = -4*g - z + j, 0*g + 10 = 3*g + 5*z. Calculate the lowest common multiple of 9 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/30*((-2)\/(-2) - -2). Solve 10 = f*b + 3*r, -5*b + r + 14 = 4*r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/480 + m**5\/80 - m**3\/6 + m**2 - 3*m. Let q(d) be the first derivative of h(d). Factor q(l).\nAnswer: (l - 1)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -23.5. What is the closest to 1 in n, -1\/9, 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -547 - -1023. Let h = c + -225. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7327 - -1?\nAnswer: 7328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 146 = 134. Let d(i) = -i + 3. Let a be d(l). What is the nearest to a in 0.4, -5, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0117 times -3567\nAnswer: 41.7339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1178, -1319, -1460, -1601?\nAnswer: -1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/13))**20*h**(-5)*h*h*(h**(5\/6)\/h)\/h assuming h is positive.\nAnswer: h**(995\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**2 + 8*p**2 + 1 - 2*p - 2*p + 3*p. Let f(o) = 13*o + 1. What is the smallest common multiple of f(1) and i(3)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.01 + 0.01. Let a = -127 + 200. Let l = -69 + a. What is the nearest to 1 in l, 5, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/3, 3\/4, -4, -0.037, -2\/1701?\nAnswer: -2\/1701","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 45, 5, -0.1, 0.4, 0.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3527*z - 1283. Is c(92) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*s**3 + 3*s**3 + 3*s**3)*(0 + 0 + s)*(-1 - 2 + 2) + (3*s + 0*s - 2*s)*(3*s**3 + 2*s**3 - 3*s**3) + s**4 - s**3 + s**3.\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549707*i - 2054 = 549628*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 6. Let f be u(-6). Suppose h + 3*x = 10, 3*x = 6*h - 3*h - f. Solve -6*p = -p + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 + 22 = 107*i. Solve -i = -26*j - 161 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(-4 + sqrt(7) + (sqrt(343) + -1 - sqrt(343)) + sqrt(343) + sqrt(567) + 2*sqrt(567) + sqrt(567))**2.\nAnswer: -27159 + 880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/8)\/x)\/((((x\/(x\/(x**(-3\/4)*x)))\/x*x)\/x)\/x*x)*(x**0)**(3\/49) assuming x is positive.\nAnswer: x**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28 + 0\/((-4)\/4). Let h = 52 - x. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019282415 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1565163 (base 7) in base 11?\nAnswer: -139790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 1 + -2 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137258652.\nAnswer: 2, 3, 41, 278981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -76.97 at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r*(r\/(r*r**(8\/3)))\/r)\/(r**5*r\/(r**11\/r)))**(38\/5) assuming r is positive.\nAnswer: r**(-76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (1 - -6) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t*t**(-16))\/t*t)**(2\/87) assuming t is positive.\nAnswer: t**(-8\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((7 - 2) + -2 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8618337 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15*(-165)\/(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4231402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 569539 and 1313.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5551 = -399*m + 17331 + 4238, 272 = 4*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 80 = -19*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1760127, -3520276, -5280425, -7040574?\nAnswer: -8800723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2. Let y(p) = -5520*p - 8. Calculate y(s(q)).\nAnswer: 11040*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2138*q**2*s**2 - 3*q**2*s - 43523*q*s**2 + 2*q wrt q.\nAnswer: -4276*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 167*t - 169*t + 238. Let s = -119 + t. Solve s = -2*g - 5 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3*o*q - 137*j**3*o - 5*j**3*q - 2*j**3 - j**2*q + 1412*j*o - 46*j*q + 5*o*q wrt j.\nAnswer: -12*o*q - 822*o - 30*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8841358 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5646, -11295, -16944?\nAnswer: -22593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 e when three letters picked without replacement from {u: 3, v: 3, e: 4, j: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (182\/(-42) - -7)\/((-3)\/(-297)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let q(d) = 3*d**2 + 4*d - 33. Let o(i) = -13*i**2 - 18*i + 133. Let h(j) = -4*o(j) - 18*q(j). Give h(a(b)).\nAnswer: -2*b**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*v - 2 + (0*v - v - v)*(-2 + 7 - 3) - 2*v + 0*v + 0*v + (-4*v - 4 + 1 + 4)*(3 - 6 + 2).\nAnswer: -4*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -1\/10*m**4 + 0*m**2 + 1\/50*m**5 + 0 + 0*m**3 + 30*m. Factor q(y).\nAnswer: 2*y**2*(y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/162)\/(5460\/(-1638))\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-211)\/(-4))\/(52\/(-4) - 2967\/(-228))?\nAnswer: 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 17 = -2*z, -2*o + 4*z = -14 - 12. Suppose -o*u + 381 + 15 = 2*k, -4*k - 8 = 0. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 316\/(-2300)*-5 - ((108\/30 - 9) + 6)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1)*(13 + (-164)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 240429 + 1380693. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1182.6 centimeters?\nAnswer: 11826000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/3)*((v\/(v\/v**(-1)))\/v)\/v*(v\/(v*((v*v\/((v**(-2)*v)\/v))\/v*v)\/v))\/(((v*v**(-3)*v)\/v*v)\/v) assuming v is positive.\nAnswer: v**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1146035434 - 4?\nAnswer: 1146035430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.023 (b) 697 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25621943 is divided by 2724.\nAnswer: 2723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -6 + 1*-2. Is (-9 + -437)\/(1 + t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0 - 2*i**2 - 1\/9*i**3 + 1\/180*i**5 + 0*i + 1\/72*i**4. Factor t(p).\nAnswer: (p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:08 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -2*d + 4810. What is the highest common divisor of 37 and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times 50?\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1 - 1) + -2. Let n be 4\/22 + 4\/(-22). Let w(r) = -1 + n*r + 0*r + 2 - r. Determine w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/989721 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57288)\/(-60)*(-1)\/(-2). Let b = m - 479. Sort 0.5, -2, b, -0.1 in descending order.\nAnswer: 0.5, -0.1, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1683458 is divided by 1789.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1658 by -34.\nAnswer: -829\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2111 divide 53235771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*y**2 + 46*y**2 + 110*y**4 - 691*y**4 - 25*y**2 wrt y.\nAnswer: -13944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/((-1632)\/(-16290984))*(0 + -1 + 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3806 divided by -1?\nAnswer: 3806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a = -23*a - 107*a + 2310 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15046718 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -j, 2*l - 512*j = -517*j + 7069. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338234021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 22 = -2*t, -5*c - 27 = t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from llleecclecl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 + -10)\/(1 + (-4)\/10). Suppose -3*w + 75 = i*p, 2*p = p - w + 15. Suppose 4*c - 13 = 3*x - 0*x, 4*c - p = x. Which is smaller: x or 10\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1050\/9)\/14*3. Solve 16*q - g = 55 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1674\/5 - 335. What is the second smallest value in -2\/7, -0.3, -2\/19, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8005 - -8005.4. Which is the second biggest value? (a) -3\/7 (b) w (c) -2\/13 (d) -3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4 - 4*j - 5*j - 16*j**2 + 0. Let w be 93\/(-62)*16\/(-3). Let g be i(w). What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + 14. Solve 0*n + 5 = n - m, -5*m - y = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 242 = -22*v. Suppose 3*y - 139 = v*d - 7*d, 5*y + 3*d = 251. Is y at most as big as 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 16*o - 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 9*j + 45. Calculate a(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**6\/30 - 11*z**5\/15 - 35*z**4\/6 - 50*z**3\/3 - 21*z**2. Find v such that x(v) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -327673 at least as big as -327678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-256)\/(-160))\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 45 - 2*d**2 + 12)*(0 + 0 + 2*d + (2 - 1 - 3)*(0*d + 4*d - 2*d) + 9 + d - 9).\nAnswer: d**3 + 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 13. Suppose 3*l + 2*s + 7 = 0, 0*s + 4*s = -5*l - 9. Let k be m(l). Calculate the highest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6177 and -11\/24.\nAnswer: 49416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -326 - -349. Suppose -u*v - 1240 = -28*v. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25779907795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-1 - 0)*3166\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**2 - 118581336*q + 1171794437295408 = 0.\nAnswer: 19763556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 9, 249, 1627, 2 in increasing order.\nAnswer: -11, 2, 9, 249, 1627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*q + 47, -201*u + 16 = -198*u + 4*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 4*l - 96. Let j be 14\/(-21) - (-19)\/l. Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57412 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-186 + 186 + 61*z**2)*(27*z + 10*z - 4*z)*(2 - 3 - 1) + 0*z**3 - z**3 + 0*z**3 in the form h*z**3 + n*z + i*z**2 + g and give h.\nAnswer: -4027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3155, 6314, 9475, 12638, 15803, 18970?\n\"Answer: y**2 + 3156*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 78790*f + 39399*f - 365 = -39395*f, 0 = c + 3*f + 8 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from pjjjjijbpjpjqjpw?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)\/((-1)\/(-1)). Let t = 306 + -306.1. Which is the nearest to t? (a) m (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -32*y + 668. What is c(21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 585, 1659 in decreasing order.\nAnswer: 1659, 585, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 731565 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 517452 by -186.\nAnswer: -2782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - ((-46 - -129) + -46)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 14*t + 36 = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008602872 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/12)\/((-3)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1787 + -58?\nAnswer: -1834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91348656107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 4*k**2 - 3*k**2)*(2*k + 0*k - 4*k) - 41*k**3 + 101*k - 101*k + (2*k + 2 - 2)*(-4*k + 4*k + 2*k**2) - 3*k**3 + 5*k**3 + 0*k**3.\nAnswer: -29*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w + 351*w - 90*w - 81*w - 7*w - 91*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 853562 * -0.13\nAnswer: -110963.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -183 - -181. What is the units digit of (-374)\/(-55) + c\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1197\/36 - 1\/4. Calculate the greatest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35747 - -0.1\nAnswer: -35746.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407.0199 millennia to years.\nAnswer: 407019.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6 and -45\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5529 - 93*t + 5529 in the form o + y*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - n. What is the nearest to -1 in 4\/9, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.6 + 29. Which is bigger: m or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 8\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 8*w**5 - 24444092*w**4 + 158886380*w**3 - 366660712*w**2 + 342216592*w - 97776160 = 0?\nAnswer: 1\/2, 2, 3055505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s - 2. Does 10 divide (68\/(-6))\/(s\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + 89. Solve 0 = j*k - z + 10, 14 = -2*k - 3*z - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711956 is divided by 2518?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 18*w + 630 = 0. Let a = -102 + w. Calculate the remainder when (-6)\/(-15) - 686\/(-10) is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Suppose 5*n - 63 - 37 = 0. Let c = -43\/2 + n. Sort 1, c, b.\nAnswer: c, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13557668?\nAnswer: 2, 3389417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(2\/7))\/x*x)\/x)\/(x\/(x\/x**(1\/4))))**(-12\/7) assuming x is positive.\nAnswer: x**(-3\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 20\/12)*54. Let z = g - 24. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*d + 299 - 35 = 0, -5*o = -3*d - 621. What is the second derivative of 7*x**5 - o*x**4 + 126*x**4 + 15*x wrt x?\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 2, y: 5, j: 2}. Give prob of sequence cc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -654 + 661. Solve 0 = -2*y - 4*k + 4, -4*y + b*y - 6 = 2*k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270 times -0.226?\nAnswer: -287.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27543 (base 8) to base 2.\nAnswer: 10111101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m. Suppose 2*q = -5*j + 20, -3*j - 2*q + 1 = -11. Let u(k) = -3*k + 0*k + j*k. Determine u(c(l)).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:10 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 3*i - 6. Let g be c(5). Let n(b) = -1 + 0*b + 2*b - 3 + 2. Let v(d) = -4*d + 2*d + 3*d. What is g*v(p) - n(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*8\/((-44)\/11)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61921, 247669, 557237, 990625, 1547833, 2228861?\nAnswer: 3033709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**36)**(1\/5)*u\/u**9*u**(-6)\/u assuming u is positive.\nAnswer: u**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(27)\/sqrt(81)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 - 2*k + 28. Let n be t(0). Calculate the greatest common factor of n and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 94*m**7\/21 + 247*m**3\/3 + 404*m. Find the second derivative of n(p) wrt p.\nAnswer: 3760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*x - 545 = -4*n, 5*n - 552 = 2*x. What is the least common multiple of n and 121?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -59?\nAnswer: -104\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 917599.5 weeks?\nAnswer: 154156716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 639, 3399, 7997, 14427, 22683?\n\"Answer: -d**3 + 925*d**2 - 8*d - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 2721442282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 920*c**3 - 72000*c**2 + 2025000*c - 8437500.\nAnswer: -4*(c - 75)**3*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n + 9. Let h = 23 + -34. Let c be (-31)\/(-11) - 2\/h. Let k(u) = -3*u - 2 + c - 5. What is -5*k(a) - 2*y(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1, -2\/3, -0.2, 184.\nAnswer: -2\/3, -0.2, 0.4, 1, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-3))\/(-7)*906. Let n = g + 1211. Factor -12\/19 - 2\/19*m**n - 8\/19*m**2 + 22\/19*m.\nAnswer: -2*(m - 1)**2*(m + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 633, -2, 110, -0.22.\nAnswer: -2, -0.22, 110, 633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -898 - -499. Let b = -4783\/12 - q. What is the common denominator of -11\/16 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86783.57 nanometers in micrometers?\nAnswer: 86.78357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.183 - -1.033. Let p = j - 0.85001392. Round p to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) 0.2 (b) -3\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1714 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50477 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486 + -477. Let f(v) = 9*v. Let c be f(-6). Let b be c\/(-176) + 6\/(-33). Which is greater: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712033.\nAnswer: 7, 101719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(11)*2)**2 + (sqrt(99) + sqrt(99)*5 - sqrt(99))**2 + sqrt(99) + 4.\nAnswer: 27*sqrt(11) + 2209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 45 (b) -1\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 - 0.7. Let d = z - -7. Let g = d + -8.00009. Round g to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 240032 + -143773. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36149260 divided by -1\nAnswer: -36149260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4348055 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41888444*x**5 - 1079*x**2 - 32*x + 61.\nAnswer: -2513306640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-76) - (-14 + (-689)\/(-52)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*v, 1 = 5*q + v - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 9 + 2 - (221 - 190) - 23.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*s - 96 - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85\/4 - -429\/20. What is the nearest to 2 in 4, c, -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**2 + 12 - 12 + 2*r**3 - 44*r**2 - 5*r**3 + 0*r**3.\nAnswer: -3*r**3 - 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 648*o**2 - 1011*o + 2*o**3 + 1 + 1007*o - 99*o**2 + 2*o**4 to d*o**4 + v + j*o + s*o**2 + p*o**3 and give s.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/1395)\/((-70)\/(-75))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -9. Suppose -5*j + 33 + 1 = -6. What is the greatest common divisor of x and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 287 or 286?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 27597591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.028 - 0.272. What is the third biggest value in -6, q, -0.03?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**3 + 3*a**2 - 2*a - 5. Calculate q(3).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Is (2 - j)*(-282)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -9, -22, -37, -54?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 = 3*g + 706, -7*f - 9 = 4*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, v: 3, n: 1}. Give prob of sequence nvt.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59317747?\nAnswer: 59317747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11800)\/16520)\/((40\/42)\/2)*(-76)\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 40 = -3*o. Let d = 11 + o. Suppose f - 3 = -2*f, -d*f = -4*a + 29. Calculate the greatest common factor of 56 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 - 3*t + 1. Calculate m(5).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 99*f + 1732. Give a(27).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/799136 and -5\/3536.\nAnswer: 799136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o**(-10))**(5\/6) assuming o is positive.\nAnswer: o**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/4 - 5*q**4\/4 + q**3 + 4*q**2 - 8*q + 4.\nAnswer: (q - 2)**3*(q - 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.3 + 7.7. Let s = 164\/187 - 18\/17. Which is the smallest value? (a) s (b) r (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450701 and 622332?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98, -132, -178, -242, -330, -448, -602?\n\"Answer: -m**3 - 27*m - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 + (0 - -5). Suppose 0 = x*q - 7 - 8. Suppose 111 = q*s - 19. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4388310 is divided by 855?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071236535 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*u = -4197, 2*z - 1674 = -10*u + 14*u. List the prime factors of z.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 295, 747, 1525, 2791, 4707, 7435, 11137, 15975?\n\"Answer: 27*s**3 + s**2 + 260*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327139 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314323 and 6276?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*k - 2 - 13*k - 6*k**2 - 6*k in the form c*k**2 + g + v*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -13. Let r = 5219 + -5221. Put r, c, 1 in decreasing order.\nAnswer: 1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, n: 5, f: 3}. Give prob of sequence fi.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(605)*2*6 + 0 - (1 + sqrt(605)*-1 + -5 + -5))**2.\nAnswer: 12078*sqrt(5) + 2251286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = 3*a, -7*a + 5*a + 4 = -2*o. Solve 0 = -o*c + 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + -2 - 0 - (-27 - -8) is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47551950 by -5.\nAnswer: 9510390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 534, -2, 258, 1, 3.\nAnswer: -3, -2, 1, 3, 258, 534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 954120\nAnswer: -1\/190824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:40 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1572 divided by 131\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*j + j + 174, 4*g + j - 336 = 0. Suppose g*t - 288 = 67*t. Solve -31*q = -23*q + t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*i + 16 = -102*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*k = -9, 0 = c - k - 202 + 201 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*b + 4 + 15, -b = 2*i - 4. Suppose 77 = 3*u + 2*o, i*u - 5*o = -u + 95. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*q = -3 + 30, -2*q = 4*v + 22. Let d be ((-63)\/(-45))\/(3\/15). Suppose 0 = i - d*i. Sort -2, 3, v, i in increasing order.\nAnswer: v, -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594, -1178, -1762?\nAnswer: -2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21438432*i**6 + 15973*i**2 + 880.\nAnswer: 2572611840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -142973.645 to the nearest 1000.\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.02445 or -0.1?\nAnswer: 1.02445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -44*c + 24 - 88 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32892, -32888, -32882, -32874, -32864?\nAnswer: -32852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-462*w**2 - 69*w**2 + 89*w**2)*(-1 - 3 + 0).\nAnswer: 1768*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 9*q + 14. Let x be o(-10). Suppose 4*w - 2*w + 2*r = 188, -2*r - 352 = -x*w. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4887379321?\nAnswer: 11, 37, 3061, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ctffkkue.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 53*q**8\/336 + q**4\/6 + 7*q**3\/3 - 440*q**2. What is the second derivative of n(m) wrt m?\nAnswer: 1060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6919164 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11993 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1537 = -517*h + 8775 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 11593*s. Let a(u) be the first derivative of -2*u**3\/3 + 2031. What is j(a(i))?\nAnswer: -23186*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(15*(-14)\/(-1050) - (-18068)\/(-90390)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2259.002494 rounded to 0 dps?\nAnswer: 2259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/554 and 97\/8.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 2, m: 1, n: 2, w: 1}. Give prob of sequence mv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-20)\/(-19)) - 4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 36. Let b(a) = 61*a**2 - 8*a - 10. Let x be b(q). Suppose 4*c + l + 4*l = 1253, 4*l - x = -5*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(6\/11))**(-8) assuming a is positive.\nAnswer: a**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3 + 11 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 11*g + 11*g + 1 + 3*g**3.\nAnswer: 3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 2*g + 8. Let n be q(-7). Suppose 4*h - 126 = -2*z + 112, h - n = -z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 23. Let x be w(-8). Let m = -0.64 - -0.04. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -0.14054.\nAnswer: -1.14054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/131, -3\/4, 4, 5, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 879729 and 251681.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 17*x + 6*x.\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9 - -19) + -5 - -2) + 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qikodkk. What is prob of picking 1 i and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -12. Suppose f + 2*q - a*q - 2 = 0, 5*f = 5*q + 15. Suppose -x + u + 10 + 69 = 0, 0 = -2*x - f*u + 146. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18891?\nAnswer: 3, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62063, 62653, 63243, 63833, 64423, 65013?\nAnswer: 65603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {o: 1, n: 2, a: 1, g: 4, s: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 636 + -636.0364. Round o to three dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114725*i**5\/3 - 244730*i**4 - 93203*i**3 - 27412*i**2\/3 + 4*i = 0.\nAnswer: -6, -1\/5, 0, 2\/4589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149195691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, e: 3, d: 2}. What is prob of picking 1 d and 1 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -17. Suppose -5*x - 2 = -x + 5*z, -x = -4*z - 10. Suppose 3*v = 3*r + x*r - 15, 2*v - 12 = -4*r. Solve -r*y + b = -y + 2*p, 3*p = 4*y + 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.8 + -28.8. Let j = -4.6 - -0.6. What is the second biggest value in j, 3, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43063, 173334, 390451, 694414, 1085223?\n\"Answer: 43423*x**2 + 2*x - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351\/351*2*(-2)\/84?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -26. Calculate the greatest common factor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -118 (b) -0.3 (c) 5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 17, 18, 15?\n\"Answer: -2*n**2 + 11*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11534, 23074, 34614, 46154, 57694, 69234?\n\"Answer: 11540*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144\/145 - 6\/29. Sort k, -1, -0.1, 0.1 in ascending order.\nAnswer: k, -1, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991508420 rounded to the nearest 100000?\nAnswer: 4991500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(495) + sqrt(55)))*-1 - sqrt(55) - sqrt(55))\/((sqrt(11) - 2*sqrt(11))*2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-290)\/(-5075))\/((-2)\/(-21)))\/(-2*(-5)\/1450)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.081163 millilitres to litres.\nAnswer: 0.000081163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7 + (-16 + 526420\/33180)\/(14\/42).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474636341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40*177\/(-311520))\/(6\/8 + -1).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6396 divided by -3\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d + 6 = 0. What are the prime factors of (-12*2\/d)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 + 9*n + 33. Let a be l(-12). Let d = -134 + a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -4060467.\nAnswer: 12181401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 78 = 132. Let s be (-10)\/(-75) - 92\/r. Which is greater: -1\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, 864, 0, 3, 1\/4?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1569.9 - -1570. Let j be ((-2)\/12)\/((-2)\/8). Let r = -41 - -163\/4. Which is the second smallest value? (a) j (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-11*(-9)\/(-198).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 158, 174, 192, 212, 234?\n\"Answer: i**2 + 13*i + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-32 - -42 - (-1 + -3) - 84)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3401530 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -155100000 rounded to the nearest one million?\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 - 32. Let l = c + 119.5. Let n = -52.6 - l. Round n to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3837988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.95279 tonnes to nanograms.\nAnswer: 30952790000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(1300) + 2 - (sqrt(1300) - -1*(sqrt(1300) + 0)) - (5 + sqrt(1300) + -2 + sqrt(1300) + -2)))**2.\nAnswer: -900*sqrt(13) + 292509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -276.3368 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.7 - 24.8. Which is the closest to -43? (a) -2 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:07 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 12:46 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 24. Suppose -12 + 2 = -u*n. Calculate the lowest common multiple of 22 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513, -1057, -1721, -2505?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42.5053 - -0.0553. What is v rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let y(v) = -154*v. What is d(y(c))?\nAnswer: -154*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6897) + (sqrt(6897) - -6*(-1*sqrt(6897) - sqrt(6897))))\/((sqrt(30) + sqrt(480)*-2 + sqrt(480))\/sqrt(10))*1.\nAnswer: 110*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0092 * 220736.\nAnswer: -2030.7712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -2*k - 2 - 0, n - 2*k = 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.08 + -0.08. Let z = i + -44. Sort -1\/10, z, -2\/17 in increasing order.\nAnswer: -2\/17, -1\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1656, -1640, -1608, -1554, -1472, -1356, -1200?\n\"Answer: o**3 + 2*o**2 + 3*o - 1662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266567224 divided by 18004.\nAnswer: -14806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m + 8 = 25*m. Suppose 4*l - b - 3 = -7, 3*b = -4*l - 20. Let y be 2 - (l\/(-2) + -2). Solve 3*i + 4*u = m*i, 0 = -y*i - 5*u + 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/18 + h**4\/18 - 7*h**2. Factor u(q).\nAnswer: -2*q*(5*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 455001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11 = -6, 4*o - 15870 = 2*j. Solve -12 = -3970*d + o*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 5*i**2 + 7*i - 2. Let q be x(5). Let t = q - 7. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8565*y + 13. Let d(p) = 17131*p - 27. Let u(x) = 4*d(x) + 7*i(x). Let r be u(-7). Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 + (0 - 21 - -12 - -19) + 1 + -1\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3754 + 1458 = -14*x. What is the greatest common divisor of x and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*t - 107 = 0, 4*b - 913*t + 925*t + 320 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(x + 0 + 0) + 3*x + 2*x - 6*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/23 or -279368?\nAnswer: -279368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/72 + 26546\/234 - 5*1. Let x = 148 + -62. Let i = l - x. What is the greatest common divisor of 33 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 8, -4 in descending order.\nAnswer: 10, 8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -49.07. Sort 3, p, 1.\nAnswer: p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*f = 3*p - 148, 5 = 5*f. Let k = 38 - p. Find the third derivative of -6*x**5 + 4*x**5 + 11*x**k + 8*x**2 - 6*x**2 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5364 and 28012?\nAnswer: 252108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 173*u**3 - 12*u**2 - 19*u + 125. What is the thousands digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (888*c + 611*c + 330*c)*(5*c - 2*c**4 - 5*c).\nAnswer: -3658*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -65?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3331 (base 4) to base 5.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14358229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/21, -16, -2\/127?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from whwhhwwwwwh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/10 - (-2)\/4. Suppose -3*p = 2*b - p + 2, 5*p + 19 = 2*b. Suppose -b = 2*z - k. Let x(g) = -4*g**3 + 2*g**2 - 1. Calculate x(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.51 (b) -0.4 (c) -1\/4 (d) -2\/11 (e) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11774, -14078, -16382, -18686?\nAnswer: -20990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2668.902t in micrograms?\nAnswer: 2668902000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d + 45*d = 1828. What are the prime factors of d?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-7) + (-27)\/(-1). Let l be 2\/(-3*p\/15). Let v = 0.3 + 0.1. Sort l, v, 0 in decreasing order.\nAnswer: v, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20094*k - 17993*k = 107151 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-313 - -305)*(-3)\/4. Let w(a) = 8*a**3 + 5*a**2 + 4*a + 3. Let v(k) = -9*k**3 - 6*k**2 - 5*k - 4. Determine r*w(g) + 5*v(g).\nAnswer: 3*g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 3*z**2 - 5*z**2 - 2 + 2 - 2*z**2 + (-3 + 4 - 3)*(-2 - 2*z**2 + 2) - 4*z**2 + 0*z**2 + 7*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 48*f - 220. Let k be x(-4). Solve -2*q = -k*d + 3*q + 11, 8 = 3*d - 4*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-4)\/(-4))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2711 + 2713 - w - 10858 + 2715 + 2716. Let x be (-1)\/(2*1\/(-22)). Determine z(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -14. Suppose d = -d + p. Find the first derivative of w**3 - 3*w + 3*w + d wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001110001100100010000 (base 2) to base 9.\nAnswer: 17584078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2*f**3\/3 + 2677*f**2\/2 + 6284*f - 1061. What is the first derivative of d(v) wrt v?\nAnswer: 4*v + 2677","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 394248 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.7 - -34.2. Sort 0.2, f, 95, 2\/9 in decreasing order.\nAnswer: 95, 2\/9, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 99*m + 194. Determine u(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77993 and 230?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 92118, 91762, 91186, 90396, 89398, 88198, 86802, 85216?\n\"Answer: z**3 - 116*z**2 - 15*z + 92248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -1 + 10\/(-11). Let r = 502\/165 + f. Let s = -2234\/9 - -248. Put -1\/3, r, s in decreasing order.\nAnswer: r, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 69, -3, -7, -26 in descending order.\nAnswer: 69, 23, -3, -7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.89 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2099271 + 3.\nAnswer: 2099274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4. Suppose 0 = -5*z - h*z. Suppose 0 = -p - z*p - 3*x - 2, p = -5*x. Let s(d) = -2*d - 2. What is s(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2656 = -160*x + 326*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-186)\/(-8))\/31 + (-31170)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 122?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*a. Let z(u) = 8 - 6 - 2*u - a. Let d(p) = 2*p + 1. Let y(q) = 5*d(q) + 4*z(q). Give y(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1729, 13991, 47351, 112369, 219605, 379619?\nAnswer: 602971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 354204144 by -22137759.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*l = 91*l + 1090 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - -39) + 12 + (-5 - 2) + 22\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 + -88. Let y = 11.18 + v. What is y rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b + 190 = -5*l, 0 = b - 3*l - 95. Let v = b - 40. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b + 0*b**3 - 1\/12*b**5 + 65*b**2 + 0*b**4 + 0. Let w(r) = -r. What is a(w(h))?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 3*r**2\/2 - r + 30. Calculate q(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {s: 3, y: 5, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/5)\/d*d**6)**(-34)*((d*d**(-2\/9)*d)\/d**(2\/7))\/(d*d**0*d**(-1\/3)\/d*d) assuming d is positive.\nAnswer: d**(-59716\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 480200 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 58511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 - q**2 - 3*q**2)*(2*q**2 + 0*q + 0*q) + (2*q**2 - 2*q**2 - 2*q**2)*(4*q + q**2 - 4*q) + 5*q**4 + 17*q**4 + 96*q**4.\nAnswer: 120*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 9*x + 3. Let f be t(-3). Suppose -8*i + f = -5*i. Suppose -3*n + 472 = 4*u, -i*n + 291 = 4*u - 185. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v. Let k(l) = -3633*l - 1. Calculate k(x(u)).\nAnswer: -21798*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**3 + 2915*k**2 + 41790*k = 0.\nAnswer: -14, 0, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 1. Let r be d(-2). Let s = 14 + -11. Let w = r - s. Solve -w*u - 8 = -0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1811, -1814, -1817, -1820?\nAnswer: -1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**3 - 9*g**2*u + 7*g*u - 4484*u with respect to g.\nAnswer: -12*g**2 - 18*g*u + 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3446*t**2 - 3385*t**2 + 6961*t**2.\nAnswer: 130*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 311, 10, 2236?\nAnswer: 2236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, p: 2, h: 6, t: 5, i: 1}. What is prob of sequence iph?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*p = -1 - 28, 0 = -k - 2*p - 10 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -1\/2*f**2 + 0 + 15*f - 17\/6*f**3. What are the prime factors of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*u = 8, 3*u + 2 = -4*s + 3. Solve f = 2*f + s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -1, -99, 2 in decreasing order.\nAnswer: 7, 4, 2, -1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z - 194. Let g be v(14). Solve 31*s + g = 27*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319 take away 3?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2015999 years in millennia?\nAnswer: 0.0002015999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26486850371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*l - 10*z + 6*z, 2*z = -5*l + 15. What is the closest to 4 in -2, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 547*h + 549*h - 4, -14 = -y + 5*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Suppose 5*d + s - 29 = k, 3*d + 2*s - 10 = d. What is the highest common factor of 66 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.61646256 to two dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14061 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5320 and 3010?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 37*k**2 + 30*k + 58. Let r(w) = 5*w**3 + 148*w**2 - 119*w - 231. Let p(o) = -2*r(o) - 9*u(o). Does 14 divide p(36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 155 - -165. Suppose -5*d = -4*d. Suppose 8*k - 6*k - 80 = d. What is the highest common divisor of k and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/25)\/(2\/30). Let j be ((-4)\/g)\/((-6)\/117). What is the highest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -45\/2. Let q = -10\/3 - -23\/6. Determine a, given that h + a + q*a**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**5 - 2*f**5 + 4*f**5)*(1 - 2 + 4 + (3 - 5 + 4)*(0 - 4 - 5)).\nAnswer: -60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*s - 5 = -3, -s + 6 = 3*q. Let d(i) = -3*i**3 - 10*i**q - 2 - 9*i + 4*i + 2*i**3 + 3*i**2. Determine d(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -45294\/3613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**2 + 2*h**4 - 3*h + 3*h + h**4 + (0 - h + 0)*(-2*h**3 + h**3 - h**3) + 16*h**4 - 30*h**4 + 17*h**4.\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 8*j - 3. Let f be o(-8). Let w(t) = 2 + 1 + 5*t - 3*t. Give w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-342)\/(-570)*(-10)\/(-11)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**3 - 396*o**2 + 2*o + 121. Give d(-66).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14558)\/87)\/((-2)\/(-12)*-2). Let a = l + -502. Solve 4*d + a*h = h - 10, 0 = -5*d - h - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 598*l - 901 - 5079 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -422101 divided by -1?\nAnswer: 422101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(14\/3))**(-9)\/((f**(-1)*f*f)**16)**(3\/13) assuming f is positive.\nAnswer: f**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.39301 to one dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 73 = 3*d - 53, 5*d + 4*t = 212. Suppose 34*s = d*s. Solve s = -5*i + 10*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*m - 34*m + 128*m + 7*m**3 + 25*m**3.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - 5.41. Let o = 5 + n. Let s be 2 + -2 + 8\/6. Which is the third smallest value? (a) -0.5 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 2332?\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 869 - 865. Put -2\/35, h, 0.1 in increasing order.\nAnswer: -2\/35, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 2. Suppose 3*q = 4*q - 5. Calculate a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*g = 852, 3*g + g = 2*t + 844. Let q = t + 436. Solve -q = 19*a - 17*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49044 + -26467. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30029556.\nAnswer: 2, 3, 2502463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -41.2, -0.3, 0.3, 5 in descending order.\nAnswer: 5, 0.3, -0.3, -41.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2828310 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274134922 is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h**3 + 2*h)*(-6 + 6 - 6*h**2) + (-14 + 14 - 2*h**4)*(4 + 2*h - 4)*(-1 + 0 + 4).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 128. Sort 2, -21, p in decreasing order.\nAnswer: 2, p, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g. Let c(t) = -32965*t**2 + 2*t - 2. Give c(i(q)).\nAnswer: -527440*q**2 - 8*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*c*w - 15634500*c - 72532*w**2 wrt w.\nAnswer: 7*c - 145064*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 1865797266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15196227 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3190 + -2145. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303502605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-184)\/(-12) + (-2)\/6. Suppose -7*m + i*m - 2196 = 0. Let v = -110 + m. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41184903.8 < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 13) to base 9.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 12*q**2 - 11*q. Let y be c(11). Sort 0.3, y, -2, -2\/9 in descending order.\nAnswer: 0.3, y, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgwwggzzzggzggzzwzz. What is prob of sequence wwgg?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29*-1*(7 - 8). Suppose -2*t - r = -1. Is 5 a factor of (t\/42)\/((-2)\/150)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 6072438.\nAnswer: 206462892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 49170 to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7174241.7 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let u(j) = -3550*j - 3537*j - 65*j**2 + 68*j**2 + 7104*j. Calculate t(u(m)).\nAnswer: -3*m**2 - 17*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-7 - (-17 + 3)) + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -16*n**2 - 11. Let u(d) = 3*d**2 + 2. Let i(g) = -2*f(g) - 11*u(g). Let l(o) = -15*o. Calculate i(l(q)).\nAnswer: -225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3158 - 6405 + 4*k**5 + 2934 + (-k**2 + k**2 + 2*k**3)*(-k + k + k**2) + 2*k**5 + k**5 - 2*k**5.\nAnswer: 7*k**5 - 313","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (-5 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/5 (b) -0.5 (c) -2\/7 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = -q + 4*q, 5*q - 4*w - 8 = 0. Let z = 6 - 11. Which is the nearest to 0? (a) q (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sryresseesrsrrrrerss. What is prob of picking 3 r?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*i = -i + 11, 3*v - 2*i = 37. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -67, -78, -69, -34, 33?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 59*c**2 - 2. Let n(r) = -11*r. Calculate n(l(i)).\nAnswer: -649*i**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66864.79 minus 0.05088216?\nAnswer: 66864.73911784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -647.6 + 742. What is f rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = -8*a - 61. Let j = -23 + a. What is the second derivative of j*g + 2*g + 4*g**2 - 7*g**2 - 10*g**2 wrt g?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 948.3 + -948. What is the closest to 1 in -2\/15, r, -0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 12, 2437358, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -38346 < -38353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5064 + -2440. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**3 - 154*r**2 + 53*r - 60. Calculate v(-39).\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2025657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 1. Suppose 5*z - 2*m = 36, -7*z + 5*m = -6*z - 21. Let j(p) = -3*p + 1. Give z*j(x) - 5*d(x).\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*b - 139, -4*b - g + 172 = -5*g. Let v be (-4 - (-190)\/b) + (-16214)\/(-18). Suppose 3*z - 1472 - v = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1958, 7820, 17588, 31262?\n\"Answer: 1953*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + h + 2, 4*h - 8 = -4*f + 5*h. Let q(i) = 12 + 3*i + 0 - 4*i + f*i. What is the units digit of q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 - 126*q**2 - 1468*q - 1344 = 0. Calculate q.\nAnswer: -48, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 28 = 0, -2*z - x + 6 = -0*z - 0*x - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 - 74*n**2\/3 - 260*n - 744.\nAnswer: -(n + 6)**2*(n + 62)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 7 + 5. Let w be 9\/o - 7\/((-28)\/(-16)). Is -5\/11 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*6 + 5*sqrt(448) + -4.\nAnswer: -4 + 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + g + 1970. Let z be v(0). Let w = 1327 - z. Let h = w + 373. What is h rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(((-40)\/(-2))\/(-4))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2609 = -3*m, 2*o + 2*m - 3*m - 1037 = 0. Suppose o = 5*i + 7*z - 3*z, 3*z = i - 123. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(8\/(-20412)*3). Suppose 0 = n + 8*n - s. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**2 + 23*z + 88. Let o be t(-2). Solve m = o*b - 11*b - 7, -2*m - 5*b - 4 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -478 + 478 + 792*i**2 + (-2*i + 4*i - i)*(-5*i - 8 + 8) to s*i**2 + j + h*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6 = -3*a. Let w(g) = g**3 + g**2 - 3*g + 1. Let j be w(-3). Is (-532)\/j - 1\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + z**3 - 2*z**3)*(2 - 3 - 3)*(17*z - 22*z - 47*z).\nAnswer: 416*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.65 - -0.35. Which is the closest to p? (a) 1 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 930657.38362 + -9.38362. Let l = o + -930647.479961. Let i = l - 0.52. What is i rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 18, n: 2}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 11 + 91 = 0. Let k(p) = p + 37. Let i be k(-22). Is i >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(3*4*3*(-7)\/(-252))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 95 - 135 = 0. Put a, -2, -26 in increasing order.\nAnswer: -26, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, -10738, 4\/13.\nAnswer: -10738, 4\/13, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -61*p**5\/20 + 117*p**2\/2 + 2*p + 2. Differentiate a(k) wrt k.\nAnswer: -183*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 27*z - 5. Suppose -3*m + 7*m - 4 = 0. Let n be f(m). Solve -2*v + v + 4*u - 10 = 0, -5*v - 4*u = -n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1133*h + 67983. Determine u(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(110) - (sqrt(110) + 2*sqrt(110)))\/sqrt(10) - ((sqrt(484) + sqrt(484) + sqrt(484) + -1*sqrt(484))\/sqrt(11))\/sqrt(4))*-3.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 1 - 1)*(-n - n + 3*n) - n**2 + n + 2*n**2 - 6*n**2 to g*n**2 + o + k*n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:47 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjrjjjjjrjjjrj. What is prob of sequence jr?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3 + 8\/12. Suppose -h*j = -j - 23. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 3*u - 37. Calculate q(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2200 divided by -1.\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1159 and 0.2.\nAnswer: 1159.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let k = w + 1.5. Let p be 3\/5 - (-3 - -3). What is the second biggest value in k, -2, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2. Let q(w) = 5*w**3 + 4*w**2. Let b = -20 - -16. Calculate b*x(l) - q(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j - 720. Let r(q) = -q - 26. What is d(h) - 2*r(h)?\nAnswer: -h - 668","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/3)\/x)\/x)**(-25))**(-29)*((x*(x**(-2)*x)\/x)\/(x*((x\/((x\/(x**(3\/7)*x)*x*x)\/x))\/x)\/x))**(41\/4) assuming x is positive.\nAnswer: x**(-81569\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17301560 is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15674, 4, 0.\nAnswer: -15674, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 0*z**2 + 2*z**2)*(-275*z**3 + 0 + 129*z**3 + 2).\nAnswer: 146*z**5 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.05, -0.2, 3\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 274915222 from 1135.\nAnswer: -274914087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v + 2. Let o be a(-1). Let s = 17 - o. Solve -19 = 4*i - 5*h, -5*i + h + 2 = -s*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4224340 (base 6) to base 3.\nAnswer: -101110020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197 - -6.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + -7 + 10)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90\/7*f**4 - 18\/7*f**2 + 40\/7*f - 2*f**5 + 0 - 14*f**3 = 0.\nAnswer: -4\/7, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1250 and 50.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/21817?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 326084188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/5)\/(((-115)\/(-50))\/(-23)). Let z be (2 - 5 - -2)\/(s\/22). Let o = -69\/28 + z. Which is the nearest to -0.1? (a) o (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 3*n + 20. Let i be r(6). Suppose -y = -2*o - 104, 2*o + 15 = 3*y - 97. Let l = i - o. What is the lowest common multiple of l and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892 = 58*u - 3270. What is the remainder when 174 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/60 + 3*m**4\/4 + m**3\/3 + 18*m**2. What is the tens digit of r(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2615243800 to the nearest 1000000.\nAnswer: 2615000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -28700.51 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - -46) + 5 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25710*z - 310 = 25648*z + 434 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12 - 6*f - 94*f**2 + 6*f + 96*f**2 + 104*f**5 wrt f?\nAnswer: 6240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100000 - -110011?\nAnswer: -100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46311 - -46332.927. Let u = -22 + t. Which is the third biggest value? (a) u (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 8*s + 22. Let b(a) = a**3 + 4*a**2 - 3. Let l be b(-3). Let j be m(l). Solve 0 = 3*g - j + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbsbydcdddybq. Give prob of picking 1 b and 2 y.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 0.02\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-957)\/(-33))\/232*328\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4143101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + (8 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -11. Find the common denominator of (26 - (1 - 4))\/i and -51\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 25 = 5*z. Let c be -15*(5 + 0)\/z. Suppose 3*y - c = 33. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, o: 1, s: 2, y: 4, g: 1}. What is prob of sequence xxoy?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = -2*n, 16 = 3*n - 2*a. Suppose -3*j + n*j - 3 = 0. Suppose -7*u = -g - 2*u + 3, 41 = j*g + u. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + p = -3*p, -3*g - 4 = -0*g - 2*g - 2*p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-148)\/(-16) - (-1)\/(-4). Suppose -2*s - 42 = -c*s. Solve 0*n + 3*n - s = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/5 - 3*y**2 + 21*y\/5 - 9\/5 = 0. Calculate y.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**3 + 986*h**2 - 83261*h - 517. Calculate j(-261).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 45.48276 decades?\nAnswer: 0.4548276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 15*v + 19*v = 2, -2*r - 56 = 11*v for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10586, -10584, -10580, -10574, -10566, -10556, -10544?\n\"Answer: o**2 - o - 10586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28a8 - 3?\nAnswer: -28ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-303)\/2)\/((-6)\/68). Let y = s + -959. List the prime factors of y.\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 11 - 4 + 1 + 1 - 3 + 2 + 0 + (-8 + 0 + 4)*(2 - 5 - 5))*(0*w - 3*w + 4*w) in the form g + a*w and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11959, -23872, -35785, -47698, -59611?\nAnswer: -71524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1752 + 14503. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -141 + 57. Suppose 10*s + 38 = 5*a + 11*s, 0 = -3*s + 9. Let x be (2\/(-92))\/(a\/r). Is -1 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u**2 + 0*u)*(-3 + 2*u + 8 - 4).\nAnswer: -2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5*(0 - 5). Let q be -1*(2 + (-4 - m)). Suppose 168 = q*l + 56. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 10*v - 235. Let q be s(13). Is 568\/9 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {n: 8, e: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 14 = 3*r. Let u = 94 - 92. Let p be u + 10 - 2 - 5. Solve p = -h, h = 4*b - 0*h - r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0632 - 0.4368. Let i = 11153\/63 + -177. Which is the closest to -2? (a) m (b) -3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5563, 5553, 5523, 5461, 5355?\nAnswer: 5193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 5, -46, 1 in decreasing order.\nAnswer: 5, 1, -46, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 33. Suppose 16 = -6*d + v*d. Let y(p) = p**3 - 3*p**2 - 5. What is y(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 - 481*g**3 - 4207*g**2 wrt g.\nAnswer: 120*g**2 - 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1, 0.075, 1.5 in increasing order.\nAnswer: -2\/11, 0.075, 1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -625943.\nAnswer: 625943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21 - 6)*14\/5. Suppose 0 = -2*w - 4*g + h, -4*w - 2*g + 63 = -3. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.32 times 5?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -15 + 3. Suppose x = -3*p + 11, 0*x + 5*p - 5 = x. Solve 15 = u*s - 5*y, x*s + 3*y = y - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -338, -762, -1356, -2120?\nAnswer: -3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 124, 188, 252, 316, 380?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/10 + -3 + (-78)\/(-15). Let f(q) be the second derivative of 0*q**2 + 0*q**s + 0 + 1\/75*q**6 - q + 0*q**3 - 1\/30*q**4. Factor f(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13125 - 2?\nAnswer: 13123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1854.2 + -709852.\nAnswer: -707997.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + -5 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/12)\/t)**(-45)\/(t**1\/(t\/t**(7\/4))) assuming t is positive.\nAnswer: t**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b - 193 = 4*r, 70 = 2*b - 4*r. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from jjgrrjgyojlr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/360 - y**5\/20 + y**4\/24 - 3*y**2. Let d(s) be the second derivative of r(s). What is the units digit of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88 - 6c84?\nAnswer: -6beb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 182111 - -0.223.\nAnswer: 182111.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -363*n. Let s(q) = 21*q. Calculate s(d(p)).\nAnswer: -7623*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2142*j**2. Let q(n) = 126473*n. Determine s(q(o)).\nAnswer: 34262189059518*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -401723?\nAnswer: -10\/401723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 183551 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.01, 0, -5 in decreasing order.\nAnswer: 10, 0.01, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 19 (c) -199131\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let n(x) = -9723624*x + 2. Calculate j(n(q)).\nAnswer: 9723624*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 19*q + 18*q + 180 = 0, 2*t - 3*q = 120. Let o(z) = -3*z**3 - 7*z**2 + 4*z + 2. Let f be o(-7). What is the highest common factor of f and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + 0. Suppose 0 = -0*a - 2*a - 3*m + 22, 4*a + 5*m - z = 0. Suppose -2*v = -5*y - 213, -a*v = -10*v + y - 110. What are the prime factors of v?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3)*(0 + 3). Let f be 8\/w*(-1 + 7). Suppose 92 = 5*u - f. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1192 = 2*g + 110. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -197*j**5*l**3 + 196*j*l**3 + j*l wrt j.\nAnswer: -3940*j**3*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5890*v + 5888*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, e: 10, v: 1}. Give prob of sequence re.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p. Suppose -5*o - y + 8999995 = p, -6*o = -2*o - y - 7200005. What is o rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 10830 = 10*n. Is 57 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2895*b**2 + 2906*b**2 + 12*b**3 - 32*b**3 - 5801*b**2.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -8. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, q: 2}. Give prob of picking 1 u and 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 384 and 13573200.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(312\/18))\/(3*78\/(-72))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153.16 - -153. What is the closest to 1 in -2\/9, 1\/5, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6 - 4 = 0. Suppose -4*v + 3*b + 1 = 0, 4*b + 2 - 4 = 2*v. Let c be 3 - 4 - (v - 0). Is c not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -2.1677\nAnswer: 8.6708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -14*t. Let u(m) = m + 9. Let w(n) = n**3 + 4*n**2 + 4*n + 6. Let c be w(-4). Let i be u(c). What is the tens digit of b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2822376577645 - 5.3\nAnswer: 2822376577639.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 - 3 = 0. Suppose -y*j + 5*j = -9. Let d(w) = 85*w + 2802. Let v be d(-33). Is j at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 t, and 1 p when four letters picked without replacement from {z: 2, x: 3, m: 1, t: 3, p: 2, k: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010906 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by 4908231.\nAnswer: 28\/4908231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11098\/9 + -49082\/45. Let s = 142 - w. Is s < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(325) - sqrt(325)) + sqrt(13) + sqrt(156)\/(sqrt(12) + -1*sqrt(12) - sqrt(12)))**2 + 3 + -5*-1*sqrt(1053) + sqrt(1053))*3.\nAnswer: 162*sqrt(13) + 3909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1904, 3 in decreasing order.\nAnswer: 1904, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 4*f + 12, 4 = 5*u - 3*u - f. What is the greatest common divisor of u and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 357 (b) 0.3 (c) 0.29 (d) 1 (e) -0.3 (f) 15.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -366 + 64. Let v = b - -442. Let f = 841 - v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m = c + 23, 3*m = c + 25. Let y = 5 - c. What is the smallest common multiple of y and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -8 (b) 3 (c) -0.222 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464 and 40?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 4*g + 1. Let b be 5\/15 + 52\/(-3). Let o = b + 12. What is the remainder when 11 is divided by f(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(2 - 5) - 3. Suppose h + 2*g - 73 = f, h + 3*g - 84 = -8. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84887796?\nAnswer: 2, 3, 7, 31, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 + 174\/(-30). Let n be 12\/(-3 - t) - 19. What is the units digit of (n\/12)\/5*-92?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7440124?\nAnswer: 2, 29, 31, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, 2, -2\/9, 0.09, 1\/13, 80.\nAnswer: -0.42, -2\/9, 1\/13, 0.09, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -734984, -1469970, -2204956, -2939942, -3674928?\nAnswer: -4409914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:09 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + -3 - 2) - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1777057 or 1777056?\nAnswer: 1777056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u - 57 = -201. Let t(y) = 2*y**3 + 5*y**2 + 22*y. Let l(b) = -b**3 - 3*b**2 - 11*b. What is u*t(i) + 5*l(i)?\nAnswer: i**3 + 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 5\/4, -26, 1.79, -0.2.\nAnswer: -26, -2, -0.2, 5\/4, 1.79, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 20. Let n be ((-9)\/i)\/(4\/24). Calculate the greatest common factor of n and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n - 5*h + 506 = 178, 2*h - h = n - 3*h - 5 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drcdccrcdcd. Give prob of picking 1 r and 3 d.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + c - 1798 = 0, -5*k + 3*c + 178 = -2078. Is k a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404059766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 326 - 139 - 187.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2319096924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-25) + (171\/(-15) - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 36 + 12 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.44 - 0.06. Let l = -0.8 - 0.2. Let p = l - q. Which is the biggest value? (a) p (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s + 34. Let j be r(2). Solve -150 = 8*d + j*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686281.\nAnswer: 17, 281, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 17224*i + 51672. Determine c(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2889027443.\nAnswer: 47, 61468669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202940 and 45552.\nAnswer: 31658640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15945.5 + 15946. Sort 0.3, x, -10507 in ascending order.\nAnswer: -10507, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*r = -17, 0 = p - 4*r + 8 + 13 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373864602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(0 - -3)*-6. Let j(r) = -5 + r - 15*r + 2. Does 9 divide j(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134275628.\nAnswer: 2, 337, 99611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 32*j - 37*j + 11200, -5*j = -3*d + 6672. Is d a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 - -132543.36.\nAnswer: 132620.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17506.09g in tonnes?\nAnswer: 0.01750609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + a - 3*a + (2 - 4 + 0)*(4*a - 2*a - a) - 5*a + 2*a + a - 4*a - 3*a + 5*a - 2*a - 1 + 1 + 0 + 2*a + 0 + 7*a - 3*a + a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5211*h + 5198*h = -832. Solve 0 = -2*i - 2*q + 2, -4*i - q - h = -77 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 958271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1717 + -2?\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 44 = -18*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**4\/4 + 197691*z**3\/4 + 296547*z**2\/2 + 98850*z = 0.\nAnswer: -2, -1, 0, 65900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/16*10*-8. What is the remainder when (3 + -5 + y)*-1 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*i - 5, -i = -2*j - 6*i + 9. Suppose 0 = -j*f - v - 2*v + 385, 3*f - 580 = -5*v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/7)\/(125\/(-350)). Suppose f + 2*i + 11 = 0, -4*f - f - 55 = b*i. Calculate the common denominator of 7\/40 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(12\/7)*v*v*v**(-2\/29)*v)**(-21\/2) assuming v is positive.\nAnswer: v**(-2829\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.1, 0.5, 1\/4693?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301170 is divided by 138.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4 + 56. Is -753*(20\/h - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48126 divided by -1234.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3743735 milligrams in grams?\nAnswer: 0.0003743735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 51, 148, 337, 648, 1111, 1756?\nAnswer: 2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2125 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9387900 divided by 41724.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -38. What is the remainder when 39 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 12 = 4*u, -4*u = -4. Let d(h) = 11 - 5 + h**3 - 7*h + 5*h**l - 9. Let z be d(-6). Solve 2*x = t - 3, 3 = 4*t - z*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 7\/14*(1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - k - 17, -2*k + 10 = 34*u - 29*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 26*p + 628. Let a be d(-24). Solve -32 + a = -28*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 12:50 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 520, 3, 5, 1.\nAnswer: 0, 1, 3, 5, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b6b2a (base 12) to base 5\nAnswer: 30140312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 5*h + 2*b - 2, -7*h - 5*b + 63 = -11*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26878 and 13488?\nAnswer: 181265232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30630 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/9907303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 82956264930 and 0.6.\nAnswer: 82956264930.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -103. Suppose -4*b = 5*h - 479, 2*h + 3*h + 655 = c*b. Calculate the highest common divisor of b and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*u**2 - 81*u + 10*u**2 + 13*u + 46*u**2 wrt u?\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1738, 3573, 5410, 7249, 9090, 10933?\nAnswer: 12778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdcdocoppppollyl. Give prob of picking 1 o, 2 p, and 1 y.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -1. What is the least common multiple of 15 + (-1 - -5) + -8 - 4 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x + 16*x + 126*x - 141*x.\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6877227?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 25*m**2 + 53*m + 162. Calculate t(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 257 + 108*h**2 - 152.\nAnswer: 108*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 4*o**2 - 17*o + 4. Suppose 2*b + 3*u = 33, 7 = 2*b - 3*u + 4. List the prime factors of a(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 + 5\/3. Suppose l*f - 63 = -f. Suppose f + 31 = 4*n. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b + 1 + 19*b + 2*b + 0.\nAnswer: 36*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f*f**(-7))*f\/(((f\/((f\/(f\/f**(3\/7)))\/f)*f)\/f)\/f)*(f\/f**(-2))**(-3\/32) assuming f is positive.\nAnswer: f**(1377\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzddzjzdjzzyqqdjjjd. Give prob of sequence jj.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -362, -1033, -2090, -3533?\n\"Answer: -193*p**2 - 92*p - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + -17 + 11 + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -86. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)\/(-1) - -1. Suppose 5*t - 4*t = f. Solve -3*w + 9 + t = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k**2 + 1608*k + 7969. What is f(-5)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553607665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -587, -558, -541, -542, -567, -622, -713, -846?\n\"Answer: -n**3 + 36*n - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 + 724572*o**2 - 32927329644*o + 10365279401492 = 0. Calculate o.\nAnswer: 317, 90413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2486, 2621, 2952, 3575, 4586?\n\"Answer: 16*d**3 + 2*d**2 + 17*d + 2451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -451796 != -451790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 15*p + 41. Let s be l(17). Let x be (-9)\/(27\/(-48)) + -2. What is the highest common divisor of s and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*z + 6*b + 3, -4*b + 10 = -3*z. Does 51 divide (-6)\/((-11)\/45 - z\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13835b + -3?\nAnswer: -138361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 55 = -4*p, -193*p = -u - 188*p - 32 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4439? (a) 5 (b) 0.03 (c) -15 (d) 1 (e) -3\/2 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -191 in 0.4, -313.53, 1, -3, 6?\nAnswer: -313.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**7\/210 + 23*w**6\/10 - 197*w**5\/20 + 63*w**2 - 1. Find the third derivative of i(d) wrt d.\nAnswer: 24*d + 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/763216990?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6432160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 56*v**2 + 256*v.\nAnswer: -2*v*(v - 4)*(v + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248356.00196 - 248400. Let i = 43.89 - -0.11. Let g = y + i. What is g rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 5*r - 20. Let u be y(8). Let c(v) = -v + 8. What is c(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 10:32 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -140 in descending order.\nAnswer: 5, 3, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 15}. What is prob of sequence ng?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 + 21*v**2 + 51*v\/2 - 45.\nAnswer: -3*(v - 15)*(v - 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/8)*g*g**(-19))**(-4\/11) assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32202211200 (base 4) to base 6\nAnswer: 213410400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 - 14. Let g be 580\/8*o\/10. Let t be 4\/26 - g\/(-26). What is the greatest common divisor of t and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 20. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:45 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(384)\/sqrt(8) - (-1 + sqrt(27)) - (4 + (4*sqrt(12)\/sqrt(4) - (sqrt(147)*-2 - sqrt(147)))**2).\nAnswer: -1878 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a - -2de6?\nAnswer: 2e20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*k = -76*k - 140 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(133)\/(sqrt(7)*2 + sqrt(7)) - (sqrt(19) + sqrt(114)\/sqrt(24) + sqrt(19))).\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2 + 17579588*r + 263694720 = 0.\nAnswer: -15, 4394912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) -4 (c) -10.5 (d) 4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65690 + 0.13.\nAnswer: -65689.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.3 + 33.3. What is the biggest value in -4, 14, l, 3\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494066808 to the power of 1\/3, to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0219994 rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -142298 less than -142298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.349244 nanometers?\nAnswer: 0.007349244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46720446439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -15*l**4\/16 + 3*l**3 - 27*l**2\/8 + 3*l\/2 + 10291. Find z, given that p(z) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = -3*t. Is 30*-1*2\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156143 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54792658.\nAnswer: 2, 29, 944701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/((220\/1100)\/(4*5\/40*-2))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, s: 5, r: 4}. Give prob of sequence sr.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 + -94. Suppose o + i*t = 2*o + 10, 0 = 4*o + 2*t - 50. Suppose -o*v + 36596 = -4914. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 3342 - 3352, -d + 28 = -5*s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 3. Let s be w(-1). Let x(u) = -u - 1. Let d be x(-3). Suppose -y + 4 = d*g, 0*y - s = g + 2*y. Solve -p - g*p + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 divided by -110.\nAnswer: -93\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 938982 divided by 6\nAnswer: 156497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1488, 1511, 1526, 1527, 1508, 1463, 1386, 1271?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 + 16) - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-7) - -6 - (19 - 8). Let y(z) = 14*z**3 - 5*z**2 + 5*z. Let i(s) = 13*s**3 - 6*s**2 + 6*s. Give b*y(o) + 5*i(o).\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 267 + 36 = 3*f, 4*h + 198 = 2*f. Let l = h + 83. Solve 0*u = -5*q + 2*u - 35, 2*q = 5*u - l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 10, n: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 552 (base 12) to base 13\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61\/192 + -1\/64. What is the nearest to 2 in x, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**4 + 5*z - 5*z)*(1 + 4 - 2)*(-3 - 9 + 11)*(3 - 1 - 4)*(-3*z + 4*z + 0*z).\nAnswer: 18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51.4 - 52.4. What is the smallest value in w, 0.81, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Suppose 0 = -q*s - y + 78, y = -4*s - 0*s + 63. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + -124. Let a = -186517.913 - -186665. Let t = b + a. Round t to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8 = 1. Suppose h*n + 7 - 16 = 0. Suppose 0 = 5*u - n*s - 5, -3*s - 5 = 10. Sort 3, u, 0.\nAnswer: u, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56444.76678 rounded to the nearest 1000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 30 = -5*n. Let x = n + 4. Solve -5*j - 3 = x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(180) - -3*sqrt(180)*6)\/sqrt(4))**2*-2)*4.\nAnswer: -129956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, 1 e, and 1 d when four letters picked without replacement from {k: 6, m: 5, d: 2, t: 1, e: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41 and 5.133.\nAnswer: -35.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889789 is divided by 222417.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4201 is divided by 145?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2407 and 1856?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 201\/(-18) - (-2 + 0). Suppose -56 = 4*z - 4*r, -12*r = 2*z - 11*r + 10. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2390, 19039, 64182, 152051, 296878, 512895, 814334, 1215427?\n\"Answer: 2372*v**3 + 15*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-18678))\/(1202\/(-13222))?\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105133051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**6\/30 - 9*i**5\/4 - 203*i**4\/12 - 37*i**3\/2 + 180*i**2 - 35*i. Factor o(t).\nAnswer: -(t - 1)*(t + 3)**2*(t + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (32502 + 2 + 2)\/(59\/((-767)\/(-26))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m + 5. Let f = -1188 - -1178. Let a(i) = -1. What is f*a(z) - 2*n(z)?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d = 4343 - 4593 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h - 25 = 0. Suppose -h*s + 0*s = 0. Let i = s - -10. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53571 months in years?\nAnswer: 0.0446425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 10:17 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 39 + 2)*(-o**3 + 3*o**3 + 6*o**3) - 2*o**3 + o**3 - o**3 + (o**3 + 0 + 0)*(-6 + 13 + 10).\nAnswer: 231*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -177301.82 and 0.4?\nAnswer: 177302.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3310 divided by -5?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 11*q**2 + 67*q - 14. Let w be h(15). What is the greatest common divisor of 6097 and w?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -173*p + 110. What are the prime factors of z(-8)?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*u - 24 - 6, -28 = -2*u - 4*a. Determine d so that -d**2 - d**3 + 10*d**u - 5*d**3 - 3*d**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 - -17) + (2 - 0). Let h be 1*(p + 2) + 1. Solve 0 = -b - 3*b - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 557965 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**7\/420 - c**5\/120 - c**4\/24 + c**3\/2 - 3*c. Let f(x) be the second derivative of s(x). What is f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125266569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*o - 35 + 8 = 0, 2*u = 2*o + 28. Let w = 33 + u. Let q(z) = 3*z. Let r be q(4). What is the greatest common divisor of r and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/75)\/1*370\/(-666)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -3\/14*o**4 + 3\/7*o**2 - 2\/21*o**3 + 2\/35*o**5 + 0*o + 8. Determine j, given that p(j) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1389*d**2*l**4 - 23*d**2*l**3 - 115*d**2 + 752*d*l wrt l.\nAnswer: -16668*d**2*l**2 - 138*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32323*p**3 + 63922*p**3 + p - 31727*p**3.\nAnswer: -128*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 25. Let l(f) = -175*f**2 + 38*f + 2. What is z(l(w))?\nAnswer: 175*w**2 - 38*w + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11232 and 390?\nAnswer: 56160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4\/7 + 2918310*c**3\/7 - 709716941259*c**2\/7 + 2838821072268*c\/7.\nAnswer: -3*c*(c - 486383)**2*(c - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -7 - (-21 - -17) - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/12 - 1) + (-28)\/48.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8223 - -8223.02. Suppose k = 3*k - 2. Let o be (-2)\/8*k\/2. Sort o, h, -4 in increasing order.\nAnswer: -4, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -559 - -561. Let b = 5 + -15. Put b, -3, w in decreasing order.\nAnswer: w, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 499 - 492.89. What is p rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*j - 2*j + 25*j**2 - 20*j**2)*(1 - 1 - j**3).\nAnswer: -5*j**5 + 23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 5*v**2 - 4*v - 2. Let z be c(-3). Let p be (-2)\/2*z + 1. Suppose -p + 3 = -o. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*n - 373 = -50*n + 5207. What is the smallest value in 1\/2, 0.3, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-7 + -74 + 49 - -106)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1644 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (43\/(1720\/144))\/(6\/15) + 6724 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -397, -764, -1099, -1402, -1673, -1912?\n\"Answer: 16*u**2 - 415*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-20)*d*d**6*d assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -611, -1935, -3429, -5093, -6927, -8931, -11105?\n\"Answer: -85*s**2 - 1069*s + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -13*q**3 + 4*q**2 - 5*q + 5. Let n(c) = 7*c**3 - 2*c**2 + 3*c - 3. What is -3*a(m) - 5*n(m)?\nAnswer: 4*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947122.9um to kilometers.\nAnswer: 0.0009471229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 times 0.451?\nAnswer: 0.07216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190318667, -380637341, -570956017, -761274695, -951593375?\nAnswer: -1141912057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3861943269.\nAnswer: 3, 89, 14464207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1776 - 1301 = 276*o + 2995 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/5*z - 2\/5*z**2 - 12\/5.\nAnswer: -2*(z - 6)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - -11) + (14 + 0 - (3 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6.1. Which is the closest to h? (a) 0.1 (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a + -3a5?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*n + 1643, -n = 5*a - 3*n - 2751. Let m = 36 + a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(3\/11)\/r*r)**(-18)\/(r**5\/r*(r\/r**3)\/r) assuming r is positive.\nAnswer: r**(-263\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1179.8139155 from -0.32083.\nAnswer: -1180.1347455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 1876*k + 33212. Determine i(-18).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - 21*v + 233. What are the prime factors of p(37)?\nAnswer: 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 45.1. Which is the fourth smallest value? (a) 0.8 (b) s (c) -5 (d) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6*8\/(-6). Let b be -2 - (0 - v\/2). Let u be ((3 + 2)\/(-1))\/b. Solve -w = -2*w - 4*j - 15, -u*j = -3*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.3 (c) 1\/5 (d) -1.483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) + (-3)\/(-1). Suppose 14 + 28 = i*q. Let g = -15 + q. Is g not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84964 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 21*s. Let b(l) = -8*l**2. Give b(t(k)).\nAnswer: -3528*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 15, 34, 61?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1\/2, 1\/5, -1.29 in decreasing order.\nAnswer: 1\/2, 1\/5, -1.29, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 13*k - 2*k - 6*k - 8*k.\nAnswer: -3*k - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {h: 8, j: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39\/35? (a) 2 (b) -3 (c) -4 (d) 0.2 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2 - 2 - 51*y + 3. Suppose 4*l = 4 - 16. Does 39 divide m(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 - 8*z**2 + 22*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(3 + sqrt(612)) - (sqrt(1088) + 0 + 3)) + -1)**2*-3.\nAnswer: -10143 - 588*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26852 and -0.165.\nAnswer: 4430.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -1 + 4*r**2 + 26\/3*r**3 + r + 8*r**4 + 9\/5*r**5. Solve m(o) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -1, -7, -21, 16 in decreasing order.\nAnswer: 16, 3, 2, -1, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*d - 32 = -369*d - 2*a, 77*d = 4*a + 458 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdgfdfgffddgffzm. Give prob of sequence ggfg.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 2*s + 3*s + (1 + 5 - 1)*(-1 - 5*s + 1).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a minute in seconds?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688727604.\nAnswer: 2, 3, 127, 451921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 845 = -19913. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12531\/3 - (-610)\/(-61) is divided by 107.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhh when three letters picked without replacement from hhhj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*r + 85 = -0*t, 4*t = 4*r - 28. Let g be -6*((-28)\/t - 3). Suppose -345 = -g*h - h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, n: 2, w: 1, c: 4, u: 1, g: 4}. Give prob of picking 1 e and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1896 - 1893. Calculate the greatest common factor of 33 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -2. Suppose -s*q = -91 - 322. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 0*v + 32. Let w(d) = 2*d**3 - 7*d**2 + 4*d + 1. Let j = 206 - 78. Calculate the remainder when j is divided by w(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 + 6370*o**2\/9 - 6376*o\/9 - 1416.\nAnswer: 2*(o - 2)*(o + 1)*(o + 3186)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -531176 - -835693. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5083118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9462 (base 15) to base 16.\nAnswer: -7a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -2*p, 4 = d - p + 2*p. Solve -d*s = -7 + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127809391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 16*o - 2*r = 2, -9*r - 9 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + h + 17, -2 = -5*j + 2*h - 31. Let p = -34 + 30. Which is the smallest value? (a) -3 (b) 0.1 (c) p (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 11*k + 14. Is w(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4610, 8863, 13094, 17303, 21490, 25655, 29798?\nAnswer: 33919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715 = -k - 138. Let b be 1 - 0 - (-63 + 5). Suppose 2*h - k = -b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8727 - (-8 - 5))*((-2)\/4 - 0).\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, o: 5, v: 1}. Give prob of sequence vx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = -l. Is (13 - 0) + (1 - l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 18*h**4 + 20 - 22 + 48*h**4 in the form x*h**2 + d*h**3 + c + z*h + k*h**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/13310 and -87\/3872.\nAnswer: 212960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12129\/9)\/(-13)*15. Let o be ((-1)\/1 - -4) + 2865. Let f = h + o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) 2\/11 (c) -2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -184, -336, -488, -640, -792, -944?\n\"Answer: -152*r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:25 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 0.3. Let i = f - 5.8. Let d = i - -2.89999934. What is d rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 3 + 5 + (0 + 6 - 2)*(0 + 4 - 3))*(-6*z**3 + 0*z**3 - z**3) to m*z**2 + u*z + p + w*z**3 and give w.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/44 and 7\/32096.\nAnswer: 353056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 5*c + 1. Let k(m) = m + 1. Let v(h) = 5*k(h) + t(h). Find the first derivative of v(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10068 is divided by 72?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(17\/5))**26*(c**(3\/2)\/c)**(-8\/11) assuming c is positive.\nAnswer: c**(-3452\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (7188\/(-42))\/(8\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.03, 0.4, -0.083, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.5931774741 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 527 - 5?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 27*d - 38. What is n(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 670*n**4 - 3*n**2 - 34.\nAnswer: 16080*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1607\/2718 + 3\/151. Calculate the common denominator of k and 1\/(-4) - (-23)\/(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 - 2*s**3 + 132.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 0*s + 0*s)*(-s - 2*s + s)*(-1 - 2 + 2)*(-2 + 5 + 1).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027216 rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3080360, -3080374, -3080388, -3080402?\n\"Answer: -14*g - 3080346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 6*k - 27*k - k**2 + 34*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000011 - -10011111101100110?\nAnswer: 10011111010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000819227 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-8\/13)*h*h**(-4)*h*h\/((h\/((h**(-5\/6)*h*h)\/h))\/h)*h*(h*h*h**(-34))\/h*h*h*h assuming h is positive.\nAnswer: h**(-2375\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 2 + 0 + 1. Suppose 2*d = -q - q, x = -4*q. Is d\/(-4)*-2 + 138 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -307.61 and 3.\nAnswer: -304.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -939*b. Let z(i) = -683*i. Determine a(z(n)).\nAnswer: 641337*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 73 = 2*a, 2*a + 3*a = -5*d + 170. Let y = a + -34. Suppose -5*k - 5*f + 30 = 0, -5*k = -4*k - 4*f - y. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*x - 1)*(-3 - 1 - 1)*(4 - 2 - 4) - 2*x + 3*x + 0*x + (-12 - 17 + 10)*(-3*x + 2*x - 2*x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 11. Let z be (-3)\/12 - (-9)\/4. Suppose 2*p + 34 = -3*k - k, z*p = -5*k - 43. Is h(k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -45, -56, -61, -60, -53, -40?\n\"Answer: 3*d**2 - 26*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0853 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16895 = w. Suppose 6*g = g - 26495. Let x = w + g. Round x to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.763124l?\nAnswer: 8763.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/2599 + 10324\/23391. Solve 8\/9 - 4\/9*h**2 + d*h = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7658184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/130 + (-7)\/39?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10570 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 1:00 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-3*sqrt(228))\/(-3*sqrt(48)))**2 - 1*(sqrt(2299) + (sqrt(2299) + 1 - sqrt(2299)) + 1)*2.\nAnswer: -22*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2\/9 (c) -13010\/7 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1053\/166096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -1. Let l = -15 + b. Let j = 13 + l. What is the smallest common multiple of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 132. Suppose 22 = 2*y + 2*h, 4*y + 0*h = 5*h + 80. Let w = 17 - y. What is the remainder when a(29) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:01 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.412 + 718.588. Let z = q - 718.965. Sort 2\/17, 5, z in increasing order.\nAnswer: z, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36367, -145447, -327221, -581671, -908779, -1308527?\nAnswer: -1780897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5840552 days?\nAnswer: 50462.36928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 - 148 - 4*g - 2*g - 2*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n + n - 4*n + 2 as f + q*n and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uyuu when four letters picked without replacement from {y: 2, u: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -454, -1818, -4164, -7570, -12114, -17874, -24928, -33354?\n\"Answer: -13*q**3 - 413*q**2 - 34*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 6 = 0. Suppose z*r + 80 = 6*r. Suppose -2*j - r = -6*j. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(90\/(-9))*1\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/60 - p**4\/12 - 5*p**3\/6 - p**2. Let f be q(0). List the prime factors of ((-16)\/4 - f)*60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1671*d**2 - 4*d + 5 - 4*d + 27*d - 1670*d**2. Determine u(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 12:42 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20192777, -20192779, -20192781?\n\"Answer: -2*c - 20192775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1749 - 7)*(-5)\/10. Is 875 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1591381*a**3*b - 1103034*a**2 + b wrt a?\nAnswer: -9548286*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 8\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-27)*(27\/(-12))\/(96\/160)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 54 + -8 - 34?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1296 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83749167 and 999?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.6. Which is the biggest value? (a) -1\/4 (b) 3\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2675 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83385.2013 - -82981.2. Let f = j - -404. Round f to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(88)*4)\/(2*sqrt(392)))**2 - ((sqrt(176) + 0 - sqrt(1331)*-1) + -4))*3.\nAnswer: -45*sqrt(11) + 1116\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, r: 1}. What is prob of picking 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 35 = -0*q. Let v = 25 - q. Which is bigger: -9 or v?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.12 (b) 1 (c) -2\/9 (d) 0 (e) 1\/478 (f) 6.04 (g) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5484.\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*s**2 + 2671*b*s + 113162*b + 5*s**2 + 7*s wrt s?\nAnswer: -4*b*s + 2671*b + 10*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 8*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-10))\/(6\/(-45)). Does 3 divide -1 + y + 0\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6655428 grams?\nAnswer: 0.0000006655428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*n = -3*n - 505, -2*c + 200 = -n. Suppose 105*h = c*h. Factor 0*s**2 - 8\/7*s**4 + h*s + 0 - 2\/7*s**5 - 8\/7*s**3.\nAnswer: -2*s**3*(s + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.017 - -0.01699979. What is u rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*o**2*r + 5*b**2*o*r - b**2*r + 274*b*o**2*r + b*o*r + b*o wrt o.\nAnswer: -4*b**2*r + 548*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 313054223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**5\/15 - u**4\/24 - 9*u**2\/2 + 8*u. Let d(s) be the first derivative of v(s). What is d(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7304.0868 seconds?\nAnswer: 2.028913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121605 - -2?\nAnswer: 121610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -903*j + 4514*j - 905*j - 895*j - 905*j - 902*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = -30*b + 33*b. What is the remainder when b is divided by ((-3)\/2)\/((-3)\/54)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 32. List the prime factors of (-8)\/p + 100\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4697035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctt when three letters picked without replacement from {t: 3, c: 5, q: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010727703 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 38. What is the remainder when 40 is divided by y(-23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.04, -185, 0.1, -0.1, 3\/4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 0*j - 3*j)*(5*j - 2*j - j - j + j + 5*j + (4 + 4 - 6)*(2*j + 0*j - 3*j)) as g*j**2 + z*j + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44*((-460992)\/2816)\/147.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532.3 less than 4?\nAnswer: -1528.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 410640 divided by 6844\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/11, 0.23, -0.09 in ascending order.\nAnswer: -18\/11, -0.09, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 97 + (-10 - -17 - 55)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 1700*i - 37920.\nAnswer: -5*(i - 316)*(i - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53.9999937 - 54. What is v rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -48. Suppose v*u = 11*u. Suppose -9*h + 10*h + 3 = u. Which is the smallest value? (a) -1\/3 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44.70677819 - 0.10944819. Let a = 44.6 - h. Round a to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-437)\/399 - (4 + (-15)\/(0 + 3)). Which is smaller: 0.094 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 + l**2\/2 - l - 1. Let o be (-1)\/(8\/11) - (-2 + 26\/16). Let m(j) = -5*j**2 + 3*j - 1. Give o*m(p) + 2*v(p).\nAnswer: 3*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*u + 18*u + 94*u + 188*u as n + v*u and give v.\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 75*k. Let g(d) = 15*d. Calculate -21*g(h) + 4*m(h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(1\/3)\/k)*k*k)**(-30))**(-15) assuming k is positive.\nAnswer: k**2100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-108) - (-1)\/36*40*(-9488)\/240?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -25*f**4 - 7. Let o(r) = -56*r - 26*r**4 + 56*r - 6. Let y(k) = -6*o(k) + 7*x(k). Find the first derivative of y(i) wrt i.\nAnswer: -76*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16235708.\nAnswer: 2, 29, 67, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00359092 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 - 6*f - 11. Let l be -1*3\/((-6)\/(-8)). What is the units digit of n(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 263.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = 2*c, 0*o + 4*c + 10 = 2*o. Is ((-340)\/o)\/(-5) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/3 - 398*i + 1192\/3 = 0.\nAnswer: 1, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.066 + -16.934. Let d = t - 32.5. Let s = d - -50. What is the nearest to 0.02 in 0.2, s, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 1. Let s(f) = -2*f - 5. Let g(z) = 3*b(z) - s(z). Let i(r) = -r + 2. Give -2*g(q) + 9*i(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2079*j - 386*j**2 + 2079*j - 1054*j**2)*(0 + 2 - 5) as l*j**2 + b*j + k and give l.\nAnswer: 4320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = 3*w, -5*q + 0*q + 4*w + 16 = 0. Suppose 5*a - 46 + 1 = q. What is the lowest common multiple of 8 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9754472 divided by 104.\nAnswer: -93793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*y - 907*d**2 - d*y - d + 1479*y - 2 with respect to d.\nAnswer: 2*d*y - 1814*d - y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -3*b**5\/35 + 15*b**4\/28 + 8*b**3\/7 - 72*b**2\/7 + 6496. Factor z(v).\nAnswer: -3*v*(v - 4)**2*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:57 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-13) - (-85)\/(-20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*o = -19*o - 174*o + 95*o + 16125 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 - (-81 - -3 - -64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5115 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 - 2*y**3 + 7*y - 3*y**2. Let d be a(-8). Let k = 13 - d. Solve -4*x - 3 = -k*h - 30, -3 = 2*x + 3*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20341147 (base 8) to base 4.\nAnswer: 100130021213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/(9\/12). Let x = 13 + u. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uita when four letters picked without replacement from {i: 1, u: 3, t: 1, a: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 - 3*n - 6. Let r(p) = 3*p**2 + 2*p + 5. Determine -5*i(v) - 6*r(v).\nAnswer: 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 17. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*q**3*r - q**2*r**3 - 411*q*r**3 wrt q.\nAnswer: -1110*q*r - 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(12)\/(sqrt(4)*-1)) + ((sqrt(84)*-2*2 - sqrt(84)) + sqrt(84) - sqrt(84))\/sqrt(12).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 14 + (-791)\/28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 122, 487, 1180, 2309, 3982, 6307?\nAnswer: 9392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**3 - 242*f**2 - 14880*f - 28800 = 0?\nAnswer: -120, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5760?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 23 + 6*o - 22 - 7*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 11:18 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xpnppxxnpu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*w - 11275 + 4180, -5*w + 7123 = 2*p. Suppose -1426*x + w*x + 1806 = 0. What are the prime factors of x?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5085 - 5086. What is the third smallest value in 0.6, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 335744 - 10?\nAnswer: 335734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400, -794, -1180, -1558, -1928, -2290?\nAnswer: -2644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n - 6. Suppose 0 = -2*f + 6, 4*d - 2*f + 5*f = 9. What is a(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52015262 (base 7) to base 3.\nAnswer: -22012101001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 67456*m + 472199. Give j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 7*p. Let q(w) = -5*w - 12. Let b be q(-4). Let u(k) = -4*k**2 - 6*k + b*k**2 - 5*k**2. Let n = 0 + -6. Calculate n*y(r) - 7*u(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -7860?\nAnswer: 7859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 - 52. Let d = -111.00000198 - i. Round d to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 - 31*y\/4 + 5\/2.\nAnswer: (y - 10)*(3*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v + 2112 = -20*v + v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.998 + 0.002. Let p be 28\/(-45) + (-6)\/(-27). Put p, 0.2, x in descending order.\nAnswer: x, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**4 - 9*o**3 - 2*o**2 = 0?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 52 + 6 = -65*s. Let p(v) = -v**2 + 7*v + 5. Let x be p(8). Put -5, s, x, 4 in descending order.\nAnswer: 4, s, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59304 by -4942.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -41*g + 2892. Determine j(68).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 365 = 2*q + 312, 30 = q + 4*l. Solve -16*x = -3*x - q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 96*r - 2450 = 67*r + 72*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + 8*j**2 + 2*j + 1. Let f(t) = 7*t**3 + 17*t**2 + 4*t + 1. Let r(b) = -4*f(b) + 9*v(b). Let c = 1 - -3. What is r(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 7*b**2 + b + 46. What is the remainder when 3695 is divided by x(6)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + i - 7*i)*(-14428 - 14427 + 4204*i**2 + 28855).\nAnswer: -8408*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -35*j + 40*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 + -0.65?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine sixths of a decade?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1)\/(-4) - 298*(-1001)\/(-230503)?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1001001100 (base 2) to base 8\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgpgpggppggg. Give prob of picking 1 g and 3 p.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 2.2923421?\nAnswer: -0.68770263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -409597 + 33996516\/83. Find the common denominator of ((-1)\/2)\/(6\/46) and k.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l. Let y(w) = 1076*w. Give y(b(s)).\nAnswer: 3228*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87936730 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -39. Let m(s) = -s**3 - 6*s**2 + 11*s + 7. Let w be m(c). Suppose -6*z - 2*t + 405 = -z, 2*z - w = -3*t. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-16)\/p**(3\/5)*p**(1\/2)\/p**(-2\/9) assuming p is positive.\nAnswer: p**(-1429\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1763664741 and -63.\nAnswer: -1763664804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01902377 to four dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppy when three letters picked without replacement from yppppyypy?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 954*d + 51419. Determine t(-62).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -349580 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4\/3 - 12138*u**3 - 110861823*u**2 - 6618972780*u - 99120998700 = 0.\nAnswer: -18177, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g + 3. Let j(l) = -6 + 3*l - 4*l - 8 + 20 - 7. Give a(m) + 4*j(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 243262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) 0.2 (c) -3 (d) -0.063 (e) -1\/4 (f) -54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 2, 0, 37, -6, 6 in decreasing order.\nAnswer: 37, 6, 5, 2, 0, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 + 273*n**2 - 269*n + 74. What is d(90)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 9*a**2 + 15167*a + 91067. Give q(-6).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccvvcuvvcucuvvc. Give prob of picking 2 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 44. Sort 3, d, -3, 5.\nAnswer: -3, 3, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n - 19 + 19)*(-4 + 5 - n**3 - n**3) in the form v*n**2 + w*n + u + f*n**3 + z*n**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 71\/4. Let m = 474820 + -474817. Let o be 0 + (1 - 27\/15). Sort z, m, 5, o in ascending order.\nAnswer: o, z, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {x: 3, e: 13, t: 1}.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7*2)\/((-7)\/56). Let v(g) = -g**3 - g**2 + 3*g - 5. Let l be v(-5). Suppose a - l = -4*a. What is the highest common factor of a and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 428 - 396. Solve -3*z = -3*k + n - 8, 5*z + k = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 - (-1 + 0\/(-4)). Suppose -s = h - 2*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 16, q: 4}. Give prob of picking 3 a and 1 q.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 104, -2, -3, -4 in descending order.\nAnswer: 104, 4, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 82a?\nAnswer: 82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, -28, -69, -138, -241, -384, -573?\n\"Answer: -f**3 - 5*f**2 + 3*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -17*u - 19. Determine h(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 0.3, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 14. Let k(r) = -2*r**3 - 16*r**2 + r - 4. Let j be k(f). Let x = 16 + j. Solve x + 1 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 5*n - 2, 5*q - 2*n + 9 = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j + 4*b - 5, 5*b + 11 = 2*j. Let 5 + 6*t**3 - 12 + 20*t - 5 - 3*t**j + 9*t**2 - 5*t**3 = 0. What is t?\nAnswer: -2, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 898621 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.83 + -6.33. What is the third smallest value in 3\/4, -4, d, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1016515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33766 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968816451.\nAnswer: 3, 17, 18996401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.365352 * 3.\nAnswer: -10.096056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 187*g**2 - 2. Let h(o) = 997874*o. What is p(h(t))?\nAnswer: 186205721216812*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let o = -3 + -3. Let k be ((-6)\/(-9))\/((-2)\/o). Put k, d, -2 in decreasing order.\nAnswer: d, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 1. Let q(w) be the third derivative of -w**4\/4 - w**3\/2 - 161*w**2 - 1. Give -q(z) + 5*r(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602868.3 grams to micrograms.\nAnswer: 602868300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28255599 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*w + 20*w + 33*w + (-2 + 3 + 0)*(-2*w + 6*w - 2*w).\nAnswer: 83*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s - 2*s + 2*s)*(-313 - 109*s + 313) as r + a*s**2 + y*s and give a.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 39 (b) 0.116 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 14*i + 22. Let v be m(-2). Let 6 + 4*a + 2\/3*a**v = 0. Calculate a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 2. Let n(w) = -2*w. Let d be n(-1). Let z(x) = 13*x**d - 2*x + 3*x - 12*x**2 + 2*x. Give z(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117520629.\nAnswer: 3, 39173543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 1:06 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 68*o - 67.\nAnswer: -(o - 67)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = 9*n + 4. Solve n = -2*k - 3*b + 1, 7*b - 10 = k + 12*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a week in minutes?\nAnswer: 58464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(39)*1)\/(sqrt(3)*1*-1))**2*-3.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 645*6055\nAnswer: 3905475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(65)\/sqrt(405) + 2 + (((sqrt(78) - ((sqrt(78) + sqrt(78)*-3 - sqrt(78)) + sqrt(78) + sqrt(78))) + sqrt(78))\/sqrt(6))**2 + 5 + (sqrt(1300))**2.\nAnswer: sqrt(13)\/9 + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -828, -1231, -1634?\nAnswer: -2037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-96)*11\/(-110))\/(2\/(-4)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 25*n**2 - 26*n + 24. Does 36 divide l(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1264844 * -0.3\nAnswer: -0.03794532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*f = c - 15, -4*c = 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 31 - 151 = -4*q, -4*n = 0. Calculate the common denominator of (q\/(-8))\/(5\/30) and -9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/5, 0.006, -3, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 + 496275768919\nAnswer: 496275768919.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4174 equal to -7\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131743, 131832, 131921?\nAnswer: 132010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 1208?\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1121413697 to the nearest integer?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 10*v - 13*v + 33, -3*s + 5*v - 43 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 260\/104 - 11\/10. Factor 4\/5*d**3 - 1\/5 + 2\/5*d + g*d**2.\nAnswer: (d + 1)**2*(4*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aahd when four letters picked without replacement from {d: 8, a: 7, h: 2, s: 2}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2472 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -0.6, 4, -0.11, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724751?\nAnswer: 3, 7, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 3. Let r = 23 - 16. Calculate l(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -39*h + 31. Is m(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 22. Let s = -18 - 48. Let k = s - l. What is k rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1)*(-3 + 3 + z) - 2 + 10038*z**2 + 10033*z**2 - 2*z - 20060*z**2.\nAnswer: 10*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - m**3 + 2 + (0 - m**2 + 0)*(1002*m - 130*m + 68*m).\nAnswer: -941*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.032586 times -16256\nAnswer: -529.718016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 14*s**2 + 15*s - 7. Let q be (-1)\/(-7) + (-954)\/63. What is t(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 48 = -11*c. Let q be (c\/(-14))\/((-2)\/42). Let n = q + 86. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-416)\/(-1560))\/(22\/(-165))*(-5)\/((-45)\/(-6)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11101110111100010100 (base 2) to base 13\nAnswer: -283623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22*f**3 - f**2 + f. Let y = 176 + -175. What is t(y)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwlt when four letters picked without replacement from {t: 1, l: 4, o: 4, g: 1, w: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -112.267 and -2741?\nAnswer: 2628.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - q = -5*q + q - 116, -17*a + 925 = 5*q for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 1. Let u(j) = 2*j + 1. Let b(h) = -h - 8. Let m be b(-7). Let s(y) = m*u(y) + 4*d(y). Let z(q) = 7*q**2 + 3*q - 5. What is -5*s(g) - 3*z(g)?\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 - 91007040*x + 414114066478080 = 0.\nAnswer: 9100704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -256b - 0?\nAnswer: -256b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 45.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -27*x + 46. Let j(h) = -49*h + 93. Let i(m) = 4*j(m) - 7*o(m). Let t be i(7). Which is the second biggest value? (a) -0.4 (b) -16 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-2)*14\/(-28). Let v(s) = 8*s + 8. Let h be v(m). Find the common denominator of (0 + 12\/(-81))*678\/h and -71\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - (-33 + (22 - 35))).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 719 divided by 3\nAnswer: 719\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 132875183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -54*k + 34*k + 32*k - 13*k**2 + 14*k**2 + 7. Give z(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 11*i**2 + 23*i - 8. Let q be ((-124)\/155)\/((-2)\/(-20)). Let w be m(q). Solve 5*a + w + 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413438 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3358 - -1a474?\nAnswer: 22821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/201, 22713, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345808559 is divided by 680?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**4 - 12*k**3 + 15*k**2 - 6*k = 0. What is k?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376169181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 7:49 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/99951 and 4\/5.\nAnswer: 499755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.202 - -0.202. Which is the biggest value? (a) -1\/2 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -83*y**6\/60 - y**5\/12 - 19*y**4\/24 + 515*y**2. What is the third derivative of g(w) wrt w?\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x. Let y = 56 - 56.1. What is the third biggest value in y, 2\/3, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229086816278.4 + -0.7.\nAnswer: -229086816279.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*q + 28*q - 3*c - 69090, 4*q - 3*c - 92124 = 0. Is q a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 148. Let a = 8310 - 41786\/5. Let s = i - a. Is s > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 + 691*o**2 + 526*o + 1750. Determine w(-172).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2, -6, -1\/4, -66\/13 in decreasing order.\nAnswer: 4, -1\/4, -2, -5, -66\/13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-18) - 94\/(-24).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l + 552. Let i be f(46). Solve u - 2*j + i*j - 1 = 0, -1 = -u + j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -9) + (9 - (23 + -8)). Which is the fifth smallest value? (a) -0.2 (b) -0.6 (c) -3 (d) s (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100370, -191088, -281806, -372524?\n\"Answer: -90718*s - 9652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251.0097 + -0.0097. Let g = 252 - r. Which is the fourth biggest value? (a) -1 (b) g (c) -0.3 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 37 = -5*n, -2*s + 6*s = 8*n - 56 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 8*f**4 - 904*f**3 + 25082*f**2 + 25764*f + 6498 = 0?\nAnswer: -1\/2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/9 - 321\/(-9). Let n = l + -20. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 179*c**5\/25 + 538*c**4\/15 + 8*c**3\/15 + 35*c**2. Factor x(q).\nAnswer: 4*(q + 2)*(537*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(24)\/(sqrt(4)*-1) - sqrt(6)))\/((1*sqrt(18)*5)\/sqrt(9)).\nAnswer: -72*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4771778 is divided by 22298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 21*a**3 - a**2. Let j be h(1). Calculate the remainder when -12*(1 - j\/8) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 11 + (3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3163797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 41. Suppose 3*b = f*b + 3*b. Let j = 1 - 0. What is the nearest to j in 0.5, b, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.05 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59\/36 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -417*o + 0 + 1 - 6 + 7 + 2 as m*o + j and give m.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 13. Let a be -90*(-3 - (-68)\/20). Let j = g - a. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/28*7*(-2)\/(12\/42)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**4\/19 - 526258*t**3\/19 - 12630960*t**2\/19 - 101049728*t\/19 - 269468672\/19 = 0.\nAnswer: -8, 263153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 392884*i - 3536020. What is s(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3944176470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (-735 + 777 - (113 + -2)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1369752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*x + 3*x - 2*x)*(2*x + x - x) + (1 + 3 - 1)*(3*x**2 - 4*x**2 - x**2))*((5*x - x + 0*x)*(2*x**2 + 4*x - 4*x) + 44*x + 10*x**3 - 44*x).\nAnswer: -144*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 47009274.\nAnswer: -517102014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 271. Let t be (5 - 1)*i\/(-56). Let w = -17 - -28. What is the greatest common factor of w and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 64*u - 3985 = 0. Let m = u - 526. Calculate the remainder when m is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -65*r + 10. Let k(f) = 21*f - 3. Let u(p) = -3*i(p) - 10*k(p). Let z(n) = 6*n. Determine u(z(g)).\nAnswer: -90*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1181206, -4724894, -10631060, -18899704?\n\"Answer: -1181239*h**2 + 29*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 5. Let s(a) = -2*a**3 - 5*a**2 - 3*a - 7. Let q(b) = 3*b**3 + 8*b**2 + 5*b + 11. Let h(l) = 5*q(l) + 7*s(l). Calculate h(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 470 = 2*t, 0 = -5*t - 3*n + 1175. Suppose -4*l + t = -3*o, -18*o + 145 = 3*l - 14*o. Calculate the remainder when 274 is divided by l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/504 and 73\/168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6345, -6344, -6343, -6342, -6341, -6340?\n\"Answer: f - 6346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*a + 59, -2*i + 4*a + 46 + 58 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48850 divided by 5.\nAnswer: -9770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588557861.\nAnswer: 1129, 521309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -10. Suppose -3*b = c - q, 6*c - 6 = 3*b + c. Solve -2*r = -7*r - b*d + 10, 0 = 5*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 28.4. Let d = 3 + q. Let b = -3269\/4 - -16349\/20. Put b, d, 3 in descending order.\nAnswer: 3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 9*j**2 + 19*j + 8. Let h be v(-6). Find the second derivative of -142*d + 184645 + 144*d**h - 184645 wrt d.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -1\/2*g**6 + 39\/5*g**5 + 0*g**3 + 0*g + 21\/2*g**4 - 91 + 0*g**2. Factor o(n).\nAnswer: -3*n**3*(n - 14)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -151. Suppose -176*z = -172*z - m. Which is the nearest to z? (a) -0.1 (b) -1.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:03 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0 - 1\/3*c**3 + 2*c**2 + 0*c + 5\/24*c**4. Is q(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000100010101111100 (base 2) to base 11.\nAnswer: 1214a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4611\/667 + (-21)\/(-1 - -4).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 28*y**2 + y + 2. Let n(h) = -279*h**2 - 9*h - 21. Determine -2*n(l) - 21*s(l).\nAnswer: -30*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 1, z: 2, q: 2, k: 3, f: 3}. Give prob of sequence gmk.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/10 - (42\/(-28))\/(-3)*-11*2?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -u + 2*w, 4*w + 15 + 21 = -2*u. Let h be (-8)\/(-6)*((-2142)\/u)\/17. Solve 9*b - 5 = h*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2858985084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 112867653163.\nAnswer: 112867653163.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 320378 times 40\nAnswer: 12815120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 - 525*v = 0. What is v?\nAnswer: -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 2*r + 9, -3039*b + 3044*b + 5*r = -20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17054 + -17043. Solve 2*r - 4*l + 20 = 0, i*r - 4*l + 4 = 13*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*z + 32 = 0, 5*p - 28 = -3*z + z. Differentiate -110*b**4 - 4030 + 3989 + p*b**4 wrt b.\nAnswer: -416*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 + 511*p**2 - 16877*p + 184833. Let l(q) = -30*q**3 + 3065*q**2 - 101255*q + 1108995. Let j(z) = 6*l(z) - 35*t(z). Factor j(v).\nAnswer: -5*(v - 37)**2*(v - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4476 is divided by 2039.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from {d: 3, c: 1, z: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/16150 and 7\/15504.\nAnswer: 387600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2184, -4369, -6554, -8739, -10924?\nAnswer: -13109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680582.1 nanograms in milligrams?\nAnswer: 0.6805821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130437 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*a - 100*a + 5 = 0, -43 = 4*y + 3*a. Let z(b) = 8*b - 5. Let j(l) = 3*l + 10. Let d(c) = -2*c - 9. Let t(o) = -7*d(o) - 6*j(o). Give y*t(h) - 6*z(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (6 + -5 + (-6 - -7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-6)\/16*-24 + (-48 + -1)\/(-7)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 + 10*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 81*w + 1541. Let z be i(16). Suppose -27 + 3 = -4*q. Let f be (-6)\/(-3) + q + -3. Sort 0, z, f.\nAnswer: z, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(7\/5))**(-4\/23)\/((y\/(y**(-6)\/y))\/y)**(-1\/2) assuming y is positive.\nAnswer: y**(821\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75052 - -75055. Factor 0*r**2 + 1\/2 - 3\/4*r + 1\/4*r**l.\nAnswer: (r - 1)**2*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.072 - 18.928. Let w = 1.5 + -4.5. Which is greater: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w + 10. Let t be (-2)\/(-4) + (-2)\/4. Suppose -u + 3 + 1 = t. Solve -3*r - 4*s - 3 = 1, -8 = w*r + u*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2672\/(-10))\/(-10 + 480\/50)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 0*h**4 + 0*h**4 + (0*h**2 - h**2 - h**2)*(-21*h**2 + 95*h**2 - 560*h**2).\nAnswer: 974*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21376?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 455\/10*3804\/2219?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/19)\/(j*j\/(j\/j**(2\/7))))\/(j*j**4*j**2))**(-45) assuming j is positive.\nAnswer: j**(48960\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 10:42 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-10\/7)*m))\/(m**(1\/20)\/m))**(6\/11) assuming m is positive.\nAnswer: m**(999\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pff when three letters picked without replacement from ffpfpfffffff.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4117*j - 176 + 43 + 44 + 50 + 41 to the form q + h*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - o + 31 = 0, -5*b + 3*o = 78 - 109 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9144, 9152, 9166, 9186, 9212?\n\"Answer: 3*r**2 - r + 9142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v**2 + 6*v - 1. Determine u(-3).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*p**2 + 12*p**2 - 2*p**2)*(3*p**2 - 2*p**2 - 2 - 3*p**2).\nAnswer: 64*p**4 + 64*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 3*w - 5*s, -3*s = 4*w - 5*s - 184. Suppose 3*f = u - 5*u + w, 15 = 3*f. Suppose u = 3*a - a. Solve -g = g - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1529\/36305 + 3\/685. Let x = w - 155\/106. Let v(c) = c**3 - 5*c**2 - 6*c - 3. Let p be v(6). Is x >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -23*c + 19*c. Calculate the remainder when 42 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(-5*sqrt(1620)*-5 - (sqrt(720) + 1 - (1 + sqrt(1125))))**2.\nAnswer: 3078131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*c + 4*c. Suppose 0 = 13*v - 11*v - 16. What is the least common multiple of c and v?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 51*y**2 + 50*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -26*v**2 - 4*v. Let k(g) = 2*g. Give y(k(t)).\nAnswer: -104*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + 5*(0 + sqrt(99) + sqrt(11) + sqrt(33)\/sqrt(3)*2)**2).\nAnswer: -3966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -22.8. Is 0 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(64)\/(sqrt(24)\/sqrt(3))))\/((-3*sqrt(147) + sqrt(147))*-6).\nAnswer: sqrt(5)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12*(-140)\/175.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 2 = 5*y. Let s = 5 + y. Suppose -s*n + n = -10. Solve g = 2*g + n*j + 5, 0 = -5*j - 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 18*j - 35. Let g be l(-6). Let q be (-2)\/(-2) + (g\/17)\/11. Factor -q*v + 2\/17*v**2 + 0.\nAnswer: 2*v*(v - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5139*i + 2570*i + 2563*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311021 (base 6) to base 4.\nAnswer: -12010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339 - 2059.11.\nAnswer: -2398.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 9. Suppose -5*s + 5 + 10 = p. Suppose 83 = s*i - 73. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + sqrt(85)\/sqrt(5))**2*-6 - (0 + sqrt(2057) - -3*2*sqrt(17))**2.\nAnswer: -6545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473 (base 13) in base 6?\nAnswer: 21423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 15. Let p = -2 - s. Let y = -3.5 + p. What is the second biggest value in 3, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 2ca73?\nAnswer: 2ca80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 772cb?\nAnswer: 772d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394 = 344*s - 114 + 64 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -1613177.7963197.\nAnswer: -1613175.7963197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-8) + (-287)\/28 + 10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4569*c**2 - 3947*c - 1 + 1660*c - 2333*c + 1 wrt c?\nAnswer: -9138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*a - 56*a + 1734 = -851 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*z, -4*z + z = -5*r + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 64 + 38 = 0. Let i be 3\/(-1 - (-3 + 1)). Let z(b) = 36*b - 4. Let o be z(i). What is the highest common divisor of o and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -265*t + 2. Let u be d(-3). Suppose 793 = 5*b - 0*b + 2*y, 5*b - u = -3*y. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*b**3 - 183*b**2 + 13221 wrt b.\nAnswer: 63*b**2 - 366*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*w + 7, z - 8*w - 11 = 4*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -60.6?\nAnswer: 1090.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 4) + (7 - (0 + 0)). Let d be w\/(-30) - 43\/10*-14. What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*s + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 113 - 13 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = -3. Is -4\/3 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7.6. Let d = 0.6 + i. Which is the nearest to d? (a) -0.1 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -9 - (1 - 3)\/(26\/(-13)). Let q(k) = -31*k + 6. Let m(b) = -b + 1. Calculate v*m(t) + q(t).\nAnswer: -26*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 39*c**2 - 36*c + 161. Let a be j(-40). Suppose 7*f - 3*f + 20 = 0. Put 3, -1, f, a in decreasing order.\nAnswer: 3, a, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from hrnrhwwrhuwfrh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = v - 24, 4*v + 4*g + 6 = 2. Factor 8*l**5 - v*l**3 + 10*l**4 + 3*l**3 + 3*l**3.\nAnswer: 2*l**3*(l + 1)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 18*i - 5. Let n be h(-12). Let w = 752 + n. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.5, 6.8, -1\/3 in decreasing order.\nAnswer: 6.8, 0.5, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484990 is divided by 2235?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**8\/112 - 3*w**7\/70 + 3*w**6\/40 - w**5\/20 - 5*w**2. Factor g(o).\nAnswer: 3*o**2*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1104\/630 + (-4)\/14 and 77\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51579 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350091 or -350206?\nAnswer: -350206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 2*l + 3. Let p be h(-3). Let d = p - 13\/2. Let v = 0.08 + -0.48. What is the closest to d in -1\/5, -2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {f: 5, t: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -101*v**7\/210 - 17*v**6\/10 + 97*v**5\/60 + 17*v**4\/2 + 2*v**3\/3 - 80*v**2. Find w, given that u(w) = 0.\nAnswer: -2, -1, -2\/101, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10243403 + 6?\nAnswer: 10243412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 19*g**2 + 19*g + 27. Calculate u(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -39, -65, -109, -177?\n\"Answer: -g**3 - 7*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = 2*k + 9, -4*k = 0. Solve -5*s - d + 5 = 0, u*d - 5*d = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3.2. Let j = -2 + 3. Which is the third smallest value? (a) j (b) k (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32332, -32369, -32482, -32713, -33104, -33697, -34534?\nAnswer: -35657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598400 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = 3. Find the third derivative of -6*m**2 - 2*m**5 - 7*m**p + 0*m**2 wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3024 and 432.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -n - 3*n, 0 = -3*u + 5*n + 16. Let v be (-2)\/(-8) + 4\/(-16). Suppose 3*r + 5*f - 20 = v, 0*f + f = -r + 4. Solve r*i + u*i - 6 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*h**2 + 2*h*n**2 + 2*h*n - 80*h - 177*n**2 - 8*n - 22 wrt h?\nAnswer: 10*h + 2*n**2 + 2*n - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 168*b + 21. Let a be ((-33)\/6 - -4)\/((-1)\/2). What are the prime factors of f(a)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-4))\/(1\/(-2)*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-9))\/((-8)\/396). Suppose 0 = -3*w + g + 24. Let b(l) = 433*l - 357. Let z be b(1). Calculate the highest common factor of w and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 79?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*p. Suppose 5*t - 15 = -d, -d = t - p - 5. Suppose 3*f + 6*z - 335 = t*z, 4*z + 230 = 2*f. List the prime factors of f.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2736597.09 + 0.146\nAnswer: 2736597.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1660, -3311, -4958, -6601, -8240, -9875?\n\"Answer: 2*d**2 - 1657*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 27*r + 36 = 0. Solve 0 = 3*q - r*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154658471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**2*i**3*q**2 + 2*d**2*i**3 - d**2*q**2 - 104*d**2*q - 2*d*i**2*q wrt i.\nAnswer: -24*d**2*q**2 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 59, 0, 5 in decreasing order.\nAnswer: 59, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -26. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -465, 3, 717 in ascending order.\nAnswer: -465, 3, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -2, 4 in descending order.\nAnswer: 6, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 12:36 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = i + 133, -5*c + 17*i = 16*i + 127. Let d(a) = 260*a - 26. Let q(f) = 29*f - 3. Determine c*q(z) + 3*d(z).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 847, 956, 1057, 1150?\n\"Answer: -4*u**2 + 121*u + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5062 (base 10) in base 8?\nAnswer: -11706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390814 divided by 951?\nAnswer: 2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(891) - 3*(sqrt(891) + -1 + sqrt(891))) + 3 + -1 + sqrt(891))**2.\nAnswer: -288*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x = 0. Let f(v) = -3*v**2 - v + 491. Let m(b) = -b**2 - b - 1. Let r(k) = f(k) - 2*m(k). Is r(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 55*n + 59*n - 3 = 0, 53 = 4*f - 11*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*l - 2299, 0 = 2*m - 3*l - 0*l - 4653. What are the prime factors of 40\/120*(m - 0)?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 151844229 and 0.130501.\nAnswer: 151844229.130501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-41 + 42)\/(-1 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, u: 2, s: 4, d: 1, f: 7}. Give prob of sequence zs.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.747 + -0.147. Is -0.2 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7715.99999466 + 7716. What is j rounded to seven dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 12 = 3*r + 4*i, 0 = 5*i + 5. Suppose m + r = 11. What is the remainder when 34 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18648 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2426238 and 666.\nAnswer: 2426238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597598 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)*x**(1\/4)*(x**(-2))**37)**14 assuming x is positive.\nAnswer: x**(-2121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3421, 2871, 1337, -1685, -6699, -14209?\nAnswer: -24719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30*(-2)\/(-8)*2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 218*l**3.\nAnswer: -l**3*(l + 436)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*x + x - 2*s, 16*x = 11*x + 2*s + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -126246, -126280, -126328, -126390, -126466, -126556, -126660?\n\"Answer: -7*v**2 - 13*v - 126226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -17*i - 9. Let y(u) = -28 - 24 - 4*u + 50. Suppose -3*t - 23 = 4. Calculate t*y(r) + 2*n(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1913.\nAnswer: -765.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -893 - -893.01403. What is g rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(144\/(-30)))\/((-2)\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -16*c + 17 + 3*c**3 - 12*c**2 - 4*c**3 - 1 + 4. Let w be f(-10). Let g = 38 - w. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 q, and 2 y when four letters picked without replacement from yykskyqyqyyysq.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 141709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3037\/99 - 390\/11. Suppose 5*t + 5*i + 7400 = 0, 212 + 5698 = -4*t - 2*i. Let l = t + 7314\/5. Find the common denominator of w and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 3*x**2 - 3*x + 3. Let h be c(3). Let u be (-3)\/h + (-2827)\/(-2). Let w = u - 984. Round w to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l + 72 - 24. Which is smaller: l or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-7)\/((-28)\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 2*q**2 + q + 1. Let h be t(-1). Let l(r) = 34*r - 6. Let g be l(h). What is the greatest common factor of 70 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 12. Suppose u = 2*n - z, -3*z + 4 = -2*z. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/4 - 43*f\/4 + 11 = 0. Calculate f.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-945)\/(-10))\/((2\/(-568))\/(160\/(-64))).\nAnswer: 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*p**2 + 26*p**3 - 18*p**3 - 4*p**2 - 20*p**3 wrt p?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6*(5 - 1))\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/11)*z**(2\/3)*z**5\/z*z*z**(-1\/11)*z)**(3\/4))**(-4\/23) assuming z is positive.\nAnswer: z**(-211\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 - 70140*r\/11 + 614952450\/11.\nAnswer: 2*(r - 17535)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56\/141 + 3\/47. Which is the second biggest value? (a) -5 (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 51, 3.\nAnswer: 3, 9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:42 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/36*(-12)\/(16\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 + -1.5. Let y = j - 5.6. Which is bigger: y or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-24)*(-1106)\/(-2212).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233 + -250. Let j(l) = l**2 + 10*l + 81. List the prime factors of j(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*41.6\nAnswer: 4.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 16*a - 50. Factor 0 - p**a - 1\/2*p - 1\/2*p**3.\nAnswer: -p*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2) + -1)*-1.\nAnswer: -3*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -1\/2, 4\/5 in descending order.\nAnswer: 4, 4\/5, -1\/2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 0.5, 2\/19, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 156267275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 1, s: 1, b: 1, k: 2, y: 2}. Give prob of picking 1 y and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 2 - 0\/2. Suppose -5*v + 85 = 5*i, u*i = -v - 4*i + 11. Let j = v - 9. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298086 is divided by 2309.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50464.31 rounded to the nearest one hundred?\nAnswer: 50500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let g(l) = 304265*l. What is p(g(n))?\nAnswer: 608530*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 - 2*f - 3. Let l be o(4). Let n = 312 - 308. Suppose 0 = -3*b, 0 = 5*x - 8*b + n*b - 15. Solve 4 = 5*k + s - 5, -l = x*k - 2*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -59. Calculate the remainder when d is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**3\/3 + 3*r**2\/2 - 3*r - 1. Let d be z(-6). What is the units digit of 6\/d + 8\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15427.1 times -7?\nAnswer: -107989.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12327.31 millennia?\nAnswer: 1232731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + -2*sqrt(11) + 0 + -1)**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 5*t + 2. Let k be -4 + (74\/9 - 114\/513). Let y(q) = -q**2 - 4*q - 2. Calculate k*y(j) + 3*u(j).\nAnswer: 2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-88)\/5)\/((-4)\/(-90)). Let k = 288 + -485. Let y = k - v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.057 take away 99092?\nAnswer: -99093.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2904 is divided by 1359.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54906*p - 10282 = 54712*p. What is the remainder when -2 + 2 + (-418)\/(-2) is divided by p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20081605 is divided by 273?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8804*n**5 - 6333*n wrt n?\nAnswer: 176080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18072750 is divided by 9036371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 46*b = -768588. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703203 is divided by 2151.\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 3*s**2 - 3*s. Let u be m(3). Let g be (-33)\/u - (-2)\/6. Solve -g*w = -2*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*w - 2*z, -w - 5*z = -11 + 3. Suppose 0 = 5*j - w - 7. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**6\/120 + n**4\/8 - n**3\/2 - 20*n**2. Suppose -3*c + 6 = -2*d + 4*d, 3*c - 2*d = 6. What is l(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5420.999995072 - -5421. Round i to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 12 = l, -5*a = 283*l - 285*l - 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 2*n**2 + n - 5. Let k be s(-3). Let b be (k - (0 - -1))\/(-2). Is 0 not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -440440 divided by -1820\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.2 (c) -3 (d) 106 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 996543108 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5161 and 1963?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 5 - 36*x**2 + 8 - 19*x**2)*(0*x**2 - 2*x**2 - 3*x**2) as p*x + d*x**3 + v*x**4 + z + u*x**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b. Suppose b*z = -z + 22. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/2*((-75)\/(-21) + -3). Let x(c) = c**n - 3 - 4*c - c - 3 + 0. What is the tens digit of x(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4745 and 50005.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/4 - 2*l**3\/3 + l**2 + l - 5. Let a be w(4). Suppose 2*z = -2*v + z + a, -z = -2*v + 51. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 346144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x - 4*t = -10, 2*x - 12 = -2*t. Let q(w) = 3*w**2 - 2*w - 1. Give q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1647, -3169, -4655, -6105?\n\"Answer: 18*z**2 - 1576*z - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 734, 2\/7, 2.262 in ascending order.\nAnswer: 2\/7, 2.262, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/2, 4\/5, -8, 2\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/2 + b**4\/2 - b**3\/2 - b**2\/2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -319722 (base 11) to base 16\nAnswer: -7cab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49 - 26 - -27 - 16 - 147\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*g + 132. Let y = 28543 + -113021\/4. Let x = y + -295. Find the common denominator of g and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (-3 + sqrt(12)\/sqrt(4) - sqrt(3)))*5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 340*c - 211. Let i be n(-11). Let q = -2678 - i. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/37, 5, 2676?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*t - 352*t = -2*d + 5, -3*t + 3*d = -24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25766 - -31290. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 111111010?\nAnswer: 111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1 (c) -2895 (d) 1\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 28.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = -5, 575 = -5*f - 3*g. Let k = f + 562\/5. Find p such that k*p**2 + 2\/5 + 4\/5*p = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -187*v + 160. Is s(-27) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*b**2*m**2 - 23178969*b**2 - b*m**2 - 118257*b*m with respect to m.\nAnswer: 98*b**2*m - 2*b*m - 118257*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 1. Let z be y(-1). Calculate the common denominator of z*-3*52\/(-48) and 66\/(-20)*2065\/708.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115462.\nAnswer: 2, 57731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 40. Suppose -2*l + 8 = 4*f, -2*f = -0*f - 4*l - n. Solve -f*a + 5 = -q - 5, 0 = 4*a - 4*q - 24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 - -5908345\nAnswer: 5908350.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 293940 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 w, and 1 p when three letters picked without replacement from {s: 4, p: 4, f: 5, w: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105718*m**4 + 7*m**2 - 488010 wrt m.\nAnswer: -422872*m**3 + 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 1, z: 2, h: 1, a: 1, l: 1}. Give prob of sequence huz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(13) - (sqrt(13) + 1 + sqrt(13) + sqrt(13) + sqrt(13)))*-1 + sqrt(13))*2)**2 - (3*sqrt(13)*-6)**2*1.\nAnswer: -2908 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 184 = -46*r, m + 585 = 585 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c + 1. Suppose 5*b + 17 = -2*a, 0 = 5*b + 14 + 1. Let j(o) = -o. Give a*u(q) + 4*j(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 f, and 2 u when four letters picked without replacement from {p: 4, u: 4, f: 2, t: 4}.\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2856.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -9. Let a = -7 + 5. What is the nearest to 0 in a, s, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8666 + -8665.999990666. What is s rounded to seven dps?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15, 2, 4, -4 in decreasing order.\nAnswer: 15, 4, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -24.84. Let u = f - -23.84. Let s = u - 23. Which is the nearest to s? (a) 0 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18546 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**3 + 5*m**2 + m + 3. Let d(f) = 6*f**3 - 6*f**2 - f - 4. Let i(x) = -4*d(x) - 5*t(x). Factor i(v).\nAnswer: (v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 9:01 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 114351 (base 6) in base 2?\nAnswer: 10011101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/20)\/((-2)\/(-10)). Suppose 0 = j*w + w + c + 5, w + 5*c = -25. Suppose 0 = -4*h - w*h + 28. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9447 - 6391. Suppose 272 - s = -12*c. Calculate the highest common divisor of c and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 21109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.8 * 7.\nAnswer: 82.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*x = 3*x + 1235, x = -5*r + 1543. Suppose -5*t - 2*m + 735 = 0, 3*t - 5*m - r - 102 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25221094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a day in minutes?\nAnswer: 15480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 461688002 to the power of 1\/3, to the nearest integer?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -390500 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/99)\/(-2) + 282\/(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -u - 2*u. Let n = -17 + u. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -32\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3987 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -9)\/(-1 + 3). Suppose -5*o + 0*o + h*n + 50 = 0, o = -5*n + 10. Calculate the remainder when o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -9*w**2 - 52*w - 1287. Calculate g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) -16 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 less than -0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5753746999 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 365064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h**3\/6 - 15071463*h**2 + 681446990881107*h\/2 = 0. What is h?\nAnswer: 0, 45214389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.404 + -0.004. Let w = q + -1.3. What is the closest to -6 in -5, 2\/13, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 + 998. Suppose 2*w - 2*z + 201 - p = 0, w = -3*z + 329. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - q + 2*q)*(-6 + 5 + 4)*(0*q + 2*q - 4*q) + q**2 - 4 + 4 + (-2*q + 3*q - 3*q)*(0 + q + 0) as h*q**2 + r*q + n and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5 + 1.1. What is the nearest to 9\/2 in g, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 10*j**3 - 14*j**3 + 4*j**3.\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.31 - 6.81. What is the nearest to 17 in 1, -6, f, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/93 and 79\/48.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 347*k**3 - 53 - 57 + 201 - 44.\nAnswer: -347*k**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 6 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 8, -3, -0.04, 3\/56?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 4*b - b + 12, 19*h = 15*h + 78*b + 132 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - s - 2*s + 6*s - s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/4)\/f*f**(-3\/7))**(-12)*(f**2)**15*f**2*f**2 assuming f is positive.\nAnswer: f**(295\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 1083.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/738?\nAnswer: 1\/738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 769*t**2 + 3*t + 80. Let m(z) = -770*z**2 - 3*z - 82. Let i(r) = -6*b(r) - 5*m(r). Let x be i(10). What is x rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 5*d + 154. Let t = d - 22. Suppose 3*m - k + 1 + 3 = t, 3*k - 1 = -2*m. Let q(p) = -p. Let c(o) = -7*o + 1. Calculate m*c(l) + 5*q(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 73.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 + -95. Suppose -3*y + 5*n = -4306, -f*n + 6*n = 4. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*o - 8 = 118*o. Suppose o*q = 1816319 - 12016319. What is q rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.2\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -815b2 (base 13) in base 12?\nAnswer: -b20a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 378071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t*t*t**0)\/t))\/t)\/t**(-8))**(16\/7)\/((t**7\/t)\/((t\/(t\/(t\/(t*t**(-4)\/t)*t)))\/t))**34 assuming t is positive.\nAnswer: t**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/13453, 0, 0.5, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1607418 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**2))**(-17)\/(v**(-2))**(1\/9))**(4\/23) assuming v is positive.\nAnswer: v**(1232\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-2*c**2 + 4*c**2 + 0*c**2) + c**2 - 6*c**2 + 4*c**2 - 11*c + 30*c - 21*c - 132*c**2.\nAnswer: -135*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 13352*u - 11142244.\nAnswer: -4*(u + 1669)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10\/45991 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - ((71 - (47 - 22)) + -14).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r + 9*r + 26 + 140. Calculate the remainder when b(0) is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -4\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 4*r**6\/3 + 21*r**2\/2 - 21. What is the second derivative of a(t) wrt t?\nAnswer: 160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36\/1337 + -82843\/147070. Let x = z + 3\/22. Which is the smallest value? (a) -5 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 7:17 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1028 + 1037. What is the remainder when 130 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26601\/5 + -4770. Let a = f - 745511\/1355. Which is bigger: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 4*116\/8. Let d = 819\/11 - 15677\/198. Calculate the common denominator of (-12)\/30 - g\/(-90) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.91 - 115.09. Which is the third biggest value? (a) z (b) -1\/3 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = -9*b - 21*b. Solve 5*j + 25*y - 8 = b*y, -5*j = -3*y - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 20*d**2 + 4*d + 3. Let r(f) = -59*f**2 - 11*f - 9. What is -4*r(o) - 11*y(o)?\nAnswer: 16*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 79070?\nAnswer: 79070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9*j + 4*j = 49, 3*r + 4*j = 223. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k + 2*k**2 - 4*k + (11*k + 282 - 282)*(-6*k + 5 - 5 + 4 - 4 - k + (0*k - k + 0*k)*(0 + 2 + 0) - k + 2 - 2 - 1 - 2*k + 1).\nAnswer: -130*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -77 - 39 + y**2 + 89 + 7*y. Let h be m(-10). Solve -p + 20 = h*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/(p*p**(1\/5)*p))**(-42))**(21\/5) assuming p is positive.\nAnswer: p**(882\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 94. Determine m(40).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -20.1. Let j = 24.2 - 21. Let y = j - g. Which is the nearest to y? (a) -0.2 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28491, 28412, 28201, 27792, 27119, 26116, 24717?\nAnswer: 22856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (7 - 150\/18)*-12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 100481\nAnswer: 2\/100481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 less than 892?\nAnswer: 891.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 2*z**2 + z. Let w = 23 - 14. Let q = 16 + -26. Let n = q + w. Give o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 701, 784, 867?\n\"Answer: 83*j + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441018 - 441018 + 18*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117\/(-104) - 632\/64.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/2)\/((-34)\/1666*-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 6*j - 6. Let o be (1 - 0)*(-6 + 1). Let n = 8 + o. Let l(d) = -d**2 + d + 1. Let q(y) = n*l(y) + k(y). What is q(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*j - 20, 18*j - 14*j = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110, -210, -296, -362, -402, -410, -380?\n\"Answer: m**3 + m**2 - 110*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 5. Suppose f = -4*k - 1 + 9. Suppose -5*z + 33 = -k*z. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1154 (b) -1\/2 (c) -2134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(1377)*-4 + -4 + sqrt(1377) + (1*sqrt(1377) + sqrt(1377))*-1)**2 + -5.\nAnswer: -882*sqrt(17) + 67517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 14*j - 10. Let z be x(6). Find the second derivative of -17*d**2 - 12*d + 3*d**2 - 5*d**z wrt d.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4936 = -393*z - 224*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p*p\/(p*(p*p**(-25)\/p*p)\/p))\/p)\/p*p*p**(3\/13))\/(p\/(p*p\/(p\/(p*p**(2\/7)))))**(1\/25) assuming p is positive.\nAnswer: p**(59792\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 121?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 2132 - 1898 = -f. Put f, 1, 3 in increasing order.\nAnswer: f, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8\/f*f**(2\/13) assuming f is positive.\nAnswer: f**(93\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j = 22*j + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - -18)\/(6\/7017) - 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 + 129 - 225*i to z*i + u and give z.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3138 = -3*j, 10*w - 12597 = 6*w + 3*j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 734 = -716. Suppose -3*d = -3*o - d + 361, 5*o - 627 = -3*d. Let m = o + v. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 497 and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -7401\/83?\nAnswer: -7401\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -4, -21, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8800, -17803, -26806?\n\"Answer: -9003*f + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918647 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1232)\/(-40))\/((-1309)\/1870)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -3\/3143, -4.8, 0 in decreasing order.\nAnswer: 3, 0, -3\/3143, -3, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629493600 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48314830*i**2 + 176266527*i.\nAnswer: -96629660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732*d + 638 = -674*d. What is the remainder when 590 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 630 = -2*v - 2*g, 3*v - 956 = 5*g. Calculate the remainder when v is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 - 2 = 0. Let m be (7 + -1)\/t + 0. Suppose m*q - f - 14 = 0, q + 4*f = -7 - 4. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 73, -3\/4, 4, 0.3, -13 in decreasing order.\nAnswer: 73, 4, 3, 0.3, -3\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + q**2 + 4)*(4*q - 2*q + 0*q) - 2 - 4*q**3 + 2 + 17*q**3 + 25*q**3 - 32*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1537*t**4 + 23325*t**3 + 271930824 with respect to t.\nAnswer: -6148*t**3 + 69975*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7211 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + 21 + (2 - -28 - (-2 - -61)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42657?\nAnswer: 3, 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21120011 (base 4) to base 7.\nAnswer: 216653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -249.8035 rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745695838 is divided by 1605.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9083 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.1 - 0.1. What is the biggest value in h, -0.3, 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/16 or -381\/395?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11142616081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(65) + sqrt(65))*4)\/((sqrt(220)*-2)\/sqrt(11)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14945 - 14945 - k**3 - 20164*k**2 + k.\nAnswer: -k**3 - 20164*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 28 + 4 = -3*y, 3*k - 6 = -3*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 499 by -99.\nAnswer: -499\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(190)*1 + sqrt(190)))\/sqrt(10) - (-3 + (3 + sqrt(1216) - sqrt(1216))))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let t be g(-1). Suppose 27 = 3*f + q + 4*q, 0 = 3*f + t*q - 18. Suppose f*l - 83 = 41. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262160 times 2\nAnswer: 524320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -1973895?\nAnswer: 197389.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-14))\/f)**15 assuming f is positive.\nAnswer: f**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 13400*x - 1621155.\nAnswer: -5*(x + 127)*(x + 2553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/3 - 154*l\/3 + 152\/3 = 0.\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-690)\/342)*414\/(-92)*(-6)\/9?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - (-4 + 10 + -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 5:13 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3055, 3043, 3023, 2995, 2959, 2915, 2863?\nAnswer: 2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 2}. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 less than 183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a + 442. Let w be o(-72). Put 0, -4, w, 1 in decreasing order.\nAnswer: w, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 - 97. Let i(s) = 9*s + 6. Let q(x) = x - 1 + x + 2 - x. Calculate m*i(w) + 6*q(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020695 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 6. Let i be j(4). Let k = 1.4 + -1. Let u = -0.008 + 0.508. Which is the second smallest value? (a) k (b) u (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 145?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19212 + -8481. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31514097.\nAnswer: 3, 29, 359, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**3 - 137*n**2 - 132*n + 264. Let j(w) = -13*w**3 - 138*w**2 - 132*w + 262. Let q(b) = 2*j(b) - 3*x(b). Factor q(d).\nAnswer: (d - 1)*(d + 2)*(d + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12)*39\/26)\/((-35)\/4)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 8, z: 2, i: 6}. What is prob of sequence vvzv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1971 (base 10) to base 2\nAnswer: -11110110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v*v**(-3\/7))\/v)\/v*v)\/(v\/(v**(4\/9)*v)*v))**(2\/13) assuming v is positive.\nAnswer: v**(2\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1880 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260 and 42588.\nAnswer: 212940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 15 + 23. Suppose -z*s = -17*s + 196. What are the prime factors of s\/(-3)*(-1)\/(-1)*3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.3718 take away -365?\nAnswer: 310.6282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27927 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-26))**(-7\/2))**(-21) assuming j is positive.\nAnswer: j**(-3675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19045515 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (5 + (67 - 192))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448, 471, 510, 565?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7. What is the third smallest value in i, 0.3, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.6 - -35. Let l = g + -7.4. Let i = -1.7 + 2. What is the second biggest value in 1, i, 0.1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 889196 rounded to the nearest one thousand?\nAnswer: 889000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73205, -72830, -72455, -72080, -71705?\nAnswer: -71330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45.4 - -45. What is the smallest value in 2, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {a: 5, o: 1, v: 1, g: 8, e: 2, s: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1476346, 2952806, 4429266, 5905726?\nAnswer: 7382186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78316.\nAnswer: 2, 7, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 18. Suppose 4 = 4*z - b. Let i(c) = -c + 5. Let f be i(4). Is f equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {q: 5, r: 13, f: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-23)\/69 + 4*9.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -920 - -900. Which is the closest to 0? (a) -2 (b) w (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101100 + 101?\nAnswer: 100101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 15*a**2 - 3*a + 155. Let s be j(-14). Sort 21, 2, -4, s in decreasing order.\nAnswer: 21, 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -874 - -879. What is the second smallest value in 4, -0.0269, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*j - 198*j + 119 = -331 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-21)\/(-22) + -1). Suppose q - 37 = -n. Suppose 3*y - 142 = -5*j, -5*j + 151 = 2*y + 8. Calculate the remainder when j is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22698418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*h**4 + 8*g*u + 15*g - 3*h**4 + 17*h**2*u - 2*u wrt h.\nAnswer: 4*g*h**3 - 12*h**3 + 34*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 4*c + 326. Let v be c\/((-32)\/286798) + (-1)\/(-2). What is v rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72.892 - 68.9. Let m = 4 - f. Round m to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/439 - -10963\/5268. Let o be 1 + (-31)\/24 - -2. Let t = f - o. Which is the third smallest value? (a) 1\/7 (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 17 + (-90)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a47244 (base 14) to base 7.\nAnswer: -65121214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 845 in 5, 1\/388, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -76 + 62 - 20*k + 72 + 133. What is the remainder when 148 is divided by b(7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 551.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -1\/4, 0.2, -1, -3\/32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2544, -4940, -7336, -9732, -12128?\n\"Answer: -2396*t - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2355198 and 83\/636540.\nAnswer: 23551980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12555 - -78344. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 305, -0.5, -5 in increasing order.\nAnswer: -5, -0.5, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -12. Suppose q + 28 = 5*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = -4*h. Suppose -4*y = 3*q - 23, 0 = -0*q + q - 2*y - 1. Let a(d) = 2*d - q + d**2 + h*d + 3 - 7*d. Calculate a(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1512)*-1)\/(sqrt(6) - sqrt(66)\/sqrt(44)) + 6*(sqrt(252) - (sqrt(252) + 0)) + (-3*(sqrt(252) + 0))**2.\nAnswer: 36*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**4 - 9*a**3 - 12*a**2 + 6*a - 6. Let r(z) = -1 + 176*z**2 + z - 4 - 177*z**2 + z**4 + 4. Let x(l) = -i(l) + 6*r(l). Factor x(n).\nAnswer: 3*n**2*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -33*d**2 + 108*d**2 - 43*d**2 - 36*d**2 - 7 - 9*d - 3. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p - 1 = y, -2 = 3*p + y. Let t = -0.05 - -2.05. Which is the closest to 1? (a) -2\/9 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1919*r*s**4 + 580*r*s**2 - 820*r*s - 21*r - 25*s wrt s?\nAnswer: 23028*r*s**2 + 1160*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2523*m + 2474*m - 7596*m - 3204 = -2510*m for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.39 - 87. Round x to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 3, -13, -47, -105, -193?\n\"Answer: -w**3 + 3*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 11*k - 7 = 8*k, 4*k - 12 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10144942853 - -7119312945. Let k = -3025629883.00000081 - o. Let i = -25 + k. What is i rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/99 and 101\/24?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(14070\/5196) - (-3146)\/(-1210).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 703 - 702. Which is the third smallest value? (a) -6 (b) -5 (c) -1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 407 and 37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 36*o**4 + 2*o**3 - 2*o**3 - 2*o**3 + 4*o**2 as s*o**3 + q + g*o**4 + z*o**2 + u*o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**3 + p**2 + 13*p - 1. Let r be i(-3). What is the highest common factor of 64 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -390.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + s - 2*s - 13 = 0, -5*i + 20 = -2*s. Suppose 0 = -6*r + i*r + 32. Suppose b - r = g, 2*g + 12 = 6*g. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a millennium?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 1238843.\nAnswer: 1238842.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b. Suppose 0 = 5*c - 2*c - 2*u - 88, -u - 5 = b. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/195 + 88168\/(-4017)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.2, 1.05, 0.2, 1\/2?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11*629\/(-187) - (-2 - 1)*(-69)\/(-23)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -392, -806, -1220, -1634?\n\"Answer: -414*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 + 3*f**4 - 5*f**4 + (-3*f**2 + 2*f**2 - f**2)*(-7*f**2 + 3*f**2 + 3*f**2) - f**4 + 3*f**2 - 3*f**2 - 15*f**4 + 5*f**4 - 3*f**4.\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-825)\/120 - 7\/3*-3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.86154 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - -2871826855.\nAnswer: 2871826906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -7*b + 2*b + 1931, 0 = 5*g + 4*b - 2416. Let h = g + -256. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70901, -71147, -71569, -72179, -72989?\nAnswer: -74011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty sevenths of a week in hours?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/13 (b) 3 (c) 0.11 (d) -0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 18*q + 47. Let p be r(-6). Let k(w) = -3*w - 2. Let m be k(2). Let d = m - p. Solve -4*g = -d - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6709 greater than 6707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5463 + -5463.014334. Round q to four decimal places.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029)*1)\/sqrt(3).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one quarters of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 62179766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 10908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 - 242. Calculate the common denominator of s\/(-40)*444\/7 and 93\/2 - (1 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/(-33) + 6\/33. Which is the nearest to -0.1? (a) n (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44684.\nAnswer: 2, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 1\/22*x**4 - 8\/33*x**3 - x**2 - 12\/11*x + 55. Find p, given that h(p) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/100485 and -83\/168.\nAnswer: 803880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14423\/27320 + -2\/683. What is the common denominator of -17\/10 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1135, -1150, -1175, -1216, -1279, -1370?\n\"Answer: -d**3 + d**2 - 11*d - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-22\/5)*p*p**(-2\/15)*(p*(p\/p**(3\/5))\/p)\/p assuming p is positive.\nAnswer: p**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/3)*(t\/(t**(1\/5)\/t))\/t*(t**(-1))**(1\/57) assuming t is positive.\nAnswer: t**(698\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, -1, 6, -41?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Let l = n - 4.1. Let x = 0.1 + l. Is x >= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 - (-6 + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 1. Let w be b(1). Let d(v) = 7*v**2 + 2. Let t be d(w). Let k be 10\/55 - t\/22. Put -0.4, k, 0 in decreasing order.\nAnswer: 0, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7317, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1440 - 551. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393253 is divided by 3402.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*c - 30, -3*r + 20 - 19 = 5*c. Put 3, c, -2, 17, 4 in ascending order.\nAnswer: -2, 3, 4, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 k, and 1 o when three letters picked without replacement from {x: 1, o: 1, q: 1, l: 2, s: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:46 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 58*x**2 + 5*x. Let l = 2298 + -2293. Let d(a) = 29*a**2 + 3*a. Give l*d(j) - 3*s(j).\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1227944 divided by 17.\nAnswer: -72232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -t + 4*f, 0 = 696*t - 695*t + 2*f + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -8) + (-13 + 7 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23112 and 864.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 4\/3*m**3 + 0 + 9*m + 0*m**2 + 6\/5*m**5 - 7\/3*m**4. Solve s(q) = 0 for q.\nAnswer: 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1247 + 5?\nAnswer: 124c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-96))\/7*6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8069, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1515 divide 287395584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 396184 to the power of 1\/2, to the nearest integer?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f + 23*f - 19*f.\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.95 + -41. Let g = p - -0.05. Let k = 3 + -3.1. Which is the second smallest value? (a) -4 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {p: 2, l: 6, j: 1, f: 2, u: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 6 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45333 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 2*g + 1. Let a be (6\/15)\/((-14)\/(-35)). Determine o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**3 - 414*d**2 - 7536*d + 3080.\nAnswer: 2*(d - 55)*(d + 14)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 95\/(-35) - -3 - (-1046)\/14. Solve 2*w = -67 + y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 19 = -n, 2*f - 6 = 36*n - 38*n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -165, -400, -727, -1146, -1657, -2260?\nAnswer: -2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 + 0*l**3 + 2*l**3)*(2 - l**2 - 2) + (0 + 4 - 3)*(-13*l**4 - 6*l**5 + 13*l**4) + 2*l**5 - 5*l**5 + l**5.\nAnswer: -13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 17*p**2 + 17*p - 7. Suppose 0 = -m + 5*m - 64. What is the units digit of x(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114105024 + -2?\nAnswer: -114105030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 6615.\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 458 - 411. Calculate the remainder when 144 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52, 311, 1026, 2431, 4760, 8247, 13126, 19631?\n\"Answer: 39*a**3 - 6*a**2 + 4*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (58 - (-16 + 32 + -28)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, -2\/13, -18, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + 6 + 64 + 3?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8 - m**3 - 5*m**2 - 4 - 2*m**2. Let n be t(-7). What is the second derivative of -3*v**5 - n*v + v + 0*v**5 wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a97 (base 13) in base 12?\nAnswer: 105ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*a - 572302 + 95612 - 1429418 = 0. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 719*w**2 - 204911*w - 1136. What is s(285)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**4 - 8*h**4 - 9*h**4 + (1 - 1 + 2*h**2)*(2*h**2 - 6*h**2 + 3*h**2) in the form c*h**2 + w*h**4 + g*h + d + t*h**3 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7457217 divided by -2485739?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132.952 - 133. Let a = -0.104 - -0.1. Let s = p - a. Round s to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.85 take away 652?\nAnswer: -307.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**5 - 154*r**2 - 23*r**5 - 5*r**5 + 113*r**2 wrt r.\nAnswer: -1980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20794 + -20825.061. Let y = 0.061 + b. Let t = y - -31.1. What is the closest to -1 in -3\/5, 5, t?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (4 - 2)) + 0 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73)\/7300*80*804\/(-16)*40\/(-12)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -139694*f. Let x(s) = -7*s**2. Give m(x(p)).\nAnswer: 977858*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - (7 + -168)) + (14 - -5) + -2?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h + 1. Let s be x(1). Let d = 0 - s. Factor 4*c**4 - 3*c**4 + 4*c**d - 6*c**4 + c**5.\nAnswer: c**4*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/2 - 3837*q**2\/2 - 5746*q + 19170 = 0.\nAnswer: -3834, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-100)\/8) + (-12144)\/(-2640) - -78.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxb when three letters picked without replacement from {r: 2, b: 2, j: 3, x: 3, a: 10}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46046644 by 889.\nAnswer: 51796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2460 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovv when three letters picked without replacement from {o: 18, v: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - 2*n**2 - 2*n**2)*(5175 + 8395 + 2414 + 1180 + 12440 + 2464) in the form u*n**2 + s*n + r and give u.\nAnswer: -64136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 40*q**2 - 538 + 98*q + 266 + 265. Find the first derivative of p(i) wrt i.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/710904 and -41\/414694?\nAnswer: 4976328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 4*h - 40. Suppose 99 = 7*v - 139. Let p = 54 - v. What is the highest common factor of p and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.053 - -0.099. Let l = 0.056 - b. What is the second biggest value in 0.3, l, 1, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 2*z**2 + 7*z + 9. Let t(i) = -i**3 + 2*i**2 - 6*i - 8. Let y(q) = 5*a(q) + 6*t(q). Suppose -9*c + 12*c = 9. Give y(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6 - 62 = -4*h, 0 = -5*h - 5*p + 70. Suppose -h*a + 15*a = -41. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 4*r + 117.\nAnswer: -(r - 9)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -606 - 2942. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16295.\nAnswer: 5, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -210714.251 and 0.5.\nAnswer: -210713.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11800 - -22132. Suppose -w = -9*z - 3501. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 609 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 9*k + 1. Let i be n(11). Let x be 7*(51\/i - -3). Suppose 52 = -x*u + 6*u. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100011 - -121?\nAnswer: -10022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6\/((y**3*y)\/y))\/(((y**(1\/3)\/y)\/y)\/y**(4\/5))*((y*y**(2\/3)*y)**13)**14 assuming y is positive.\nAnswer: y**(2454\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 - 2.4. Let p = m - -5. Which is the nearest to 0? (a) 3 (b) p (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1030, 1186, 1454, 1840, 2350, 2990, 3766?\nAnswer: 4684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3193 + 3192 + 2*f**2 - 6384 + 598*f)*(0 + 0 - 3).\nAnswer: -6*f**2 - 1794*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Suppose 25 = 5*a + 5*d, -3*d = a - z*d + 4. Let s be (-33199)\/(-4) - a\/(-8). What is s rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677903713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -25*r + 22*r + 2 + 1 - 2930*r**3 - 5. Let s be u(-1). Suppose s = 2*v + 649. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8754117?\nAnswer: 3, 19, 109, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1054*m - 44303. What is r(42)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**4*y + 2*n**3*y**3 + 31*n**2*y**3 - 5*n**2*y**2 wrt n?\nAnswer: 96*n*y + 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, a: 1, z: 5, k: 1}. Give prob of picking 1 z, 1 t, and 1 a.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -627 - -625. Let o(g) = g**3 - 2*g. What is o(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1923*k*q**2 - 12*k*q - 1662*k + 3*q**2 wrt q?\nAnswer: -3846*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 12*c = 20. Suppose -3*s = -c*s + 16. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 730 + -730.1. Which is greater: j or -387?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -43*q - 27*q + 55*q. Let x(b) = -b**2 + 0*b**2 - 8*b + 8*b. Determine g(x(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 597*k + 32757. Determine x(-56).\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - -1005)*(-4)\/(-2). Suppose 4*t + 19 = 7, 0 = -3*f + 4*t + 18. Suppose f*u = -2*u + d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.26 (b) 1 (c) 7\/3 (d) 0 (e) -2\/4363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajajaaaaaajjaaaj. Give prob of sequence jaa.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -11. Let b(k) = -x*k**2 + 2*k**2 + 3*k**2. Let p(r) = -2*r**2 - 3*r. Let j(c) = -3*c**2 - 5*c. Let s(h) = 3*j(h) - 5*p(h). Calculate b(s(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 + -5. Let d = -7 + -13. Let h be (-5)\/d + (-5)\/52. What is the smallest value in o, 0.3, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49.642 times -0.3\nAnswer: -14.8926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 - ((5 - -17) + -23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 8, 2.4, 0.1, 0.05, 36\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49730720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x + 24. Let q(w) = -4*w - 36. Let z(h) = 8*d(h) + 5*q(h). Let r be z(-2). Differentiate 14 + 22*s**r - 8 + 4*s**4 + 9 with respect to s.\nAnswer: 104*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 5 + 15 + -7 - -1) + -20.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*2\/(-8)*2. Solve -5*h + h + 5*l + 11 = 0, -o*l = -h + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 201?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iji when three letters picked without replacement from {i: 11, d: 1, j: 7}.\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 1, j: 1, t: 1, l: 1}. What is prob of picking 1 l, 1 y, and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 3\/141747106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -376 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 + 32*h**3\/3 - 3*h**2\/2 + 72*h + 8346. Give m(32).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736610595 to the power of 1\/3, to the nearest integer?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -129, -151, -173, -195, -217?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 19*r**2\/3 + 33745*r\/6 + 11531\/2 = 0.\nAnswer: -887, -39\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i**3 + 2*i**3 + 3*i**3)*(-24*i + 19*i + 28*i)*(0 - 2 + 4).\nAnswer: -414*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*r + 13. Let h(k) = -6 + 62*k - 30*k + 9*k**2 + 5*k - 8*k**3 - 42*k. Let w(c) = 7*c**3 - 8*c**2 + 4*c + 5. Give r*h(t) + 6*w(t).\nAnswer: 2*t**3 - 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628581445.\nAnswer: 5, 1291, 97379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -99, -331, -781, -1521, -2623?\n\"Answer: -12*d**3 - d**2 + d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-9 + 14 + 8 + -13) - 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58\/10671 - 1928731\/352889970. Let l = 1688521121\/297630 - g. Let j = l - 5667. What is the common denominator of -26\/5 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 6)*(2*j - 3*j - j).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m + 28 + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 62 + 38 - 58.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 + 61 + 58 - f - 185.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/13, -1, -0.4, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6155266?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 254*v + 3848. Determine c(-15).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.3. Let a = -0.5 - -3.5. Let z = 0.262 - 0.162. What is the closest to z in n, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/132)\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**7\/168 - 23*r**6\/60 + 101*r**5\/10 - 141*r**4 + 1134*r**3 - 5292*r**2 - 305*r + 2. Factor t(i).\nAnswer: (i - 14)**2*(i - 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 25*l - 164. Calculate w(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2. Let u(v) = -40314*v + 1. Calculate u(t(n)).\nAnswer: -80628*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 4*r**2 + 5*r + 6. Let v be j(-5). Let s = 9 - v. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12189*z**2 + 2*z + 2. Let h(l) = -50*l. Determine n(h(d)).\nAnswer: 30472500*d**2 - 100*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Suppose 5*p + 163 - 25 = 2*m, -5*p + 232 = 3*m. Let f(o) = 71 - 9*o + m - 128. What is a(f(d))?\nAnswer: 81*d**2 - 306*d + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 276 + 231 = 0. What is the smallest common multiple of (-26)\/169 - (-1020)\/a and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 139. Suppose -3*l - 5*l + r = 0. Suppose 8*p - 4*p - 48 = 2*x, 0 = -p + 3*x + l. What is the remainder when p is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 7, k: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17224351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0 - 5. Let u(g) = p + 1 - 7*g + 6*g. Is u(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0504 - 0.0222. Let z = -352.9274 + r. Which is greater: -1\/2 or z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 6*t**2 + 50*t + 15. What is r(-11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2. Let m be (16\/(-10))\/((-6)\/15). Let f(a) = -4*a - 4*a + 5*a + m*a. Calculate f(o(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/(-176)*(504\/385)\/(-6)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 4*t + 5*t)*(218*t - 37*t + 404*t).\nAnswer: -1170*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-624 + 280*t + 624)*(-3 + 2 - 1).\nAnswer: -560*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27499 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 14. Suppose i + 8 = 3*i - 4*k, 16 = 4*i - a*k. Let w(m) = -3*m**2 - 6*m - m + 7 + i*m**2. Calculate w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 - r**3 + 6*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-3) + (-19)\/57?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 36 = 2*f, 5*f + 2*r - 40 = -3*r. Let v = -1.445829 - 0.554171. Which is the closest to f? (a) -2\/11 (b) -0.1 (c) 0.3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 - 9*u - 9. Determine h(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 41. Suppose -p - 4*y = -25, -5*y + 82 + 88 = 5*p. Suppose -5*q + t = -p. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883096398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 75. Let x be 1\/(-3*(-11)\/i). Let q be (-52)\/78 + 10\/6. Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26449\/8 + -3294. What is the common denominator of -41\/24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -461\/6 or -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4542074 and 223055.\nAnswer: 4765129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 5*c**2 + 9*c + 9. Let n be o(-6). Let z = n - -4. What is the biggest value in -2, -4\/5, z?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21720 and 33666?\nAnswer: 673320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/3424169 and 11\/1467501?\nAnswer: 10272507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136039800 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119278 + 1653586. Suppose -4*y + l = 3910308. Round y to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/6 - 3*s**3 - 83*s**2\/6 - 18*s - 22\/3 = 0.\nAnswer: -2, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 + -310435?\nAnswer: -310541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 8:37 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2594180 divided by 129709\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -18 + 35 + 0*j**2 - 17 - j**2. Let d(s) = -11*s**2 - s. Give v(d(z)).\nAnswer: -121*z**4 - 22*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 1832*u**6\/15 - 229*u**4\/12 - 2*u + 394. Find the third derivative of x(n) wrt n.\nAnswer: 87936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.1 and 664512.85631?\nAnswer: 664508.75631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/((-49)\/(-21)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*u - 41. Let p = 3245 + -6489\/2. Which is the nearest to -1? (a) p (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6283 times 0.1644?\nAnswer: 1032.9252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -966 - -977.77. Let s = -11.2 + t. Round s to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*n + 1296 = 0, 10*c + 4*n + 646 = 12*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14458, -29277, -44096, -58915?\nAnswer: -73734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001065 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 + 92 - 14*a)*(a - a - 3*a).\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*g - 25*g = -28947 - 104039. What is the highest common divisor of g and 931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avyaavavaavyvavvva. Give prob of picking 1 v and 1 a.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 m when four letters picked without replacement from {m: 2, n: 12, o: 1, g: 3, z: 2}.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from iiiiiriiirr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*a**3 + 9*a**2 - 9*a**2)*(7*a - 12*a - 15*a) + (-5 - 8*a - 2 + 5)*(-a - a**3 + a).\nAnswer: 1448*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4278\/(-66) - 2\/11. Let o be s*(24\/10)\/(-3). Calculate the highest common divisor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -12*w**3 - w. Let f be m(-1). Let v be 1*(-1)\/2*2. Let z = v + f. Calculate the greatest common divisor of 18 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 less than -304.86?\nAnswer: -685.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 4:41 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -317, -474, -631, -788?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2741360930 rounded to the nearest 100000?\nAnswer: -2741400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 8*g + 34. Let y be c(-23). Let p = y - -369. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42095 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqno when four letters picked without replacement from {q: 5, n: 2, b: 7, o: 4}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/73, -1, 899?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -4\/7 (c) -0.07 (d) -13903 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9594 and 255762.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2100*u = -616*u + 22260 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1160)\/15 + -9 + (-14)\/(-6*(-3)\/(-12)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 plus -545?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4367 is divided by 1452?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeeoeeooe. What is prob of sequence eeee?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5242 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34.8 - -38.8. Let l be (-1)\/(-4)*(-4)\/6. Let i = -1 - -1.5. What is the second biggest value in l, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 398783, 1 in descending order.\nAnswer: 398783, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 2:32 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a. Let c(k) = -4*k**3 + 105*k**2 - 3*k + 7. Let p(f) = -3*f**3 + 75*f**2 - 2*f + 5. Let s(o) = 5*c(o) - 7*p(o). What is s(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2 - 17*r - 30 = 0?\nAnswer: -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-139)\/4)\/((-26)\/8 + 3) is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-70) + 8\/5. Solve -p - w*p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - (32 + -71)) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 2 - -12)*31. Let a = j + -121. Suppose l + a = 6*l - 3*o, 0 = -2*l - 4*o + 30. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5 = 0, 110 = -105*a - 982068*f + 982063*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muh when three letters picked without replacement from {m: 2, d: 3, w: 3, u: 10, h: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, v: 5}. Give prob of picking 1 k and 1 v.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {q: 5, d: 3, v: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 5) in base 12?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*m - 2*l + 4*l, 3*m - 39 = -3*l. Let h be (-1)\/(-2)*((-200)\/8 + 11) - -2. Let z = m + h. Solve -2*y = y - z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 3*t**2 - 5*t**2 + 2*t**2 - 7*t**2 + 4*t**2 + (5*t - 2*t - 4*t)*(2*t + 2 - 2) - 18*t**2 + 186*t - 186*t.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, j: 2}. Give prob of picking 1 j and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -61240 - 61232 - 61240 + 183713. Let l(a) = -a**2 - 2*a - 7. Suppose 14 = -2*s + s. Calculate s*u(f) - 2*l(f).\nAnswer: 2*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -28. Let o = u - -22. Sort 0, o, -0.4 in decreasing order.\nAnswer: o, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -1. Suppose 0*l - 12 = -h*l. Solve 0 = -3*z + 5*j - 6, z - 2*j - j = -l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28865357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*2*(3 + sqrt(2000)*2)**2*6.\nAnswer: 11520*sqrt(5) + 384427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 130957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/2)\/((-2)\/40). Suppose -4*t + r = 24 - 144, 3*t + r - v = 0. Let p = t + -14. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92795231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 470, 1587, 3768, 7367, 12738, 20235?\nAnswer: 30212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 6*g**2 - 6*g + 7. Let z(s) = s**3 + 5*s**2 - 6*s - 7. Let h be z(-6). Let x be k(h). Is 27 + (x + 2)*1 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1205847.8 and -3?\nAnswer: 1205850.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Suppose 3 = -5*d - 2. Let o be d\/(-4) - 2\/24. Which is smaller: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 - 16*y**2 + y - 18*y**2 + 12*y**2 - 3*y**3 as s*y + a + p*y**3 + g*y**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - 381\/12. Calculate the common denominator of (21\/36)\/((-9)\/117) and (-2)\/8 + (-78)\/i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - s = 1113 + 659, -9 = -3*s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:48 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 71?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(171) + sqrt(19) + -3 + sqrt(19)))*5 + -2.\nAnswer: -20*sqrt(19) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-4) - 1\/(-2). Let o be (2\/(-4))\/(d\/(-16)). Let b = 0 + o. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/5 - 11423\/(-1870). Let z = 112\/85 - c. Find the common denominator of (2\/48)\/(4\/(-90)) and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*d = -28618053 + 28624861 for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from aakxgra.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -0.03162?\nAnswer: -0.03162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {s: 11, a: 1, y: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.837891 to 1 decimal place.\nAnswer: 80.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 56 = -4*o, -3*d + 22 - 1 = -o. Let h be (16\/(-10))\/(6\/o). Suppose 0 = -7*c + 4*c + 15. Solve -g = -c*g + h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 4886.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 47, 103, 44, -2, 261 in descending order.\nAnswer: 261, 103, 47, 44, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83518.46 nanograms to kilograms.\nAnswer: 0.00000008351846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 901*q**2*w**2 - 17*q**2 - 101*q - 5*w**4 + w wrt w.\nAnswer: 1802*q**2 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -1.97. Let w = 2.5 + k. Let m = 267039 + -267039. Which is the closest to m? (a) w (b) -6\/5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1524609?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -28354*f + 9499. Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - (15 + 32 + -1 + -16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*d**2*h**4 + 2*d**2*h - d**2 + 232*d*h - 101*d - 11613*h**4 + 2*h wrt h.\nAnswer: -576*d**2*h**2 - 139356*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 35283*p - 2*p**4 - 6*p**3 - 35288*p + 2*p**3 - 14 as h*p + j*p**2 + f + z*p**4 + k*p**3 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 1. Let f be r(-1). Solve -2*a + 4*x = -x - 25, 2*a + f*x = -15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**2*d**2 - b**2*d - 179*b*d + 183*d**3 + 2*d + 8 wrt d.\nAnswer: -6*b**2 + 1098*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**4\/24 - 47*h**2. Let i(n) = -27*n - 1. Calculate r(i(c)).\nAnswer: -27*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056 a factor of 253550894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, y: 1}. Give prob of picking 1 q and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1955.3 + -1955. Which is the closest to -0.1? (a) 4 (b) 2\/9 (c) y (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 930, 1861, 2792, 3723, 4654?\nAnswer: 5585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocq when three letters picked without replacement from {o: 3, k: 1, c: 1, q: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/229811089?\nAnswer: 4\/229811089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-7724)\/40 - 40\/50. Let s = 194 + c. What is the biggest value in s, 11, -0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1467 or -0.08?\nAnswer: 1467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 4. Let v = 0 + j. Solve v*z - 1 = 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1881 - -1881.0000006544. What is o rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let c(u) be the third derivative of -u**4\/6 - 2*u**2. Let m(o) = -3*c(o) - 10*n(o). Let t(i) = -3*i. What is m(t(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*d**3\/5 - 218002*d**2\/5 - 72668*d\/5.\nAnswer: 2*d*(d - 36334)*(3*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/150*(-6)\/9.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10301311 (base 4) to base 15.\nAnswer: -5bed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213321 + -10?\nAnswer: -213331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209519901 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.04, -5, 0, -5\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -1.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 7. Suppose -5*m + u = -3*m + y, 0 = -3*m + 2*y + 10. Which is the second smallest value? (a) -0.2 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*y + 147 = -291*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -18*h**5\/5 - h**4\/2 + 76*h + 436. Find the first derivative of d(u) wrt u.\nAnswer: -72*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 23*j - 1. What is m(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -94 - -197?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 728810800 to the nearest 100000.\nAnswer: 728800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**3 - 33*q**3 + 9*q**3 + q**3.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*((-113)\/30 - (-108)\/180). Suppose a*p + 27*p = 11*p. Solve 7*r - 8*r - 4 = p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:10 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 102*w - 35. Let v be q(-26). Calculate the greatest common divisor of v and 1751.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 6\/11, 3\/5, -0.3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -690171*v*y - 8061825*y wrt v.\nAnswer: -690171*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/10)\/(2\/(-20)). What is the greatest common divisor of 18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 90719, 91017, 91313, 91607?\n\"Answer: -z**2 + 301*z + 90419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2) + -7 + 10. Suppose y + 4*c = -y - 22, -m*y = 4*c + 25. What is the remainder when 50 is divided by (y - -2)*1 + 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*o**2 + 58*o**2 - 234*o**2 + 7*o**2.\nAnswer: -85*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 784312.5 grams?\nAnswer: 784312500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -2\/35 (c) 0 (d) 0.5 (e) 3\/4 (f) 4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 5. Let a = 10 + -6. Let p(v) = 4*v - 11. Let c(y) = -7*y**3 + 2*y**2 + 3*y - 2. Let s be c(3). Let i = -173 - s. Determine a*p(m) + i*u(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2. Let t(w) = -15843 - 21369*w + 15843. What is t(m(u))?\nAnswer: 42738*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45467 is divided by 45440.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 0*m**2 + 2*m**2)*(4 + 1 - 1) - 3 + 3 + 2*m**2 + (-4 + 5 + 1)*(4*m**2 + 0*m**2 - 2*m**2) - 2*m**2 + 0*m**2 + 0*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 108169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7\/2)\/(y\/y**(-15)))\/((y*(y**(-7)*y)\/y)\/y**(-5\/8)) assuming y is positive.\nAnswer: y**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x**3 + 3*x**2 + 72*x + 8. Let a(b) = 4*b**3 - b**2 - 24*b - 3. What is -8*a(v) - 3*n(v)?\nAnswer: v**3 - v**2 - 24*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -134, -376, -832, -1574?\nAnswer: -2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2) + sqrt(10)\/sqrt(5))**2*-5 + (sqrt(32))**2*-3*4.\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxcdcbdbadbc. Give prob of sequence dab.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let j = -10 + 18. Suppose j = i + 3*i. Calculate the greatest common divisor of u and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/347622 and 181\/1548498.\nAnswer: 17033478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541*t + 17510 = 54839. Let k(h) = h**2 + 5*h + 4. Calculate the remainder when t is divided by k(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - 6*v + 11*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12519 and 90.\nAnswer: 125190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 31 + 31 - 120*a.\nAnswer: -120*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33808 + 33804.9999. Let z = -3 - y. Round z to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368967 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/(t\/t**24))*t*((t*(t**15\/t)\/t)\/t)\/t*t assuming t is positive.\nAnswer: t**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9 * -30.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1696*c**3*i**3 - 8*c**2*i**2 - 5*c*i**3 wrt c?\nAnswer: -10176*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/((-830)\/249*15\/(-50))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20220456800 rounded to the nearest one million?\nAnswer: -20220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 149694 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + i = 110. Suppose -18*d - 21 = -i*d. Sort d, -4, 0.1.\nAnswer: -4, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -0.3. Let z = c + 0.4. Let a = -2 - -5. What is the closest to 0 in 2\/3, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**5*u + 46*n**4*u - 2*n**4 + 8*n**2*u - 24*n wrt n?\nAnswer: 120*n**2*u + 1104*n*u - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.07 - 0.07. Let p = -29 + x. What is the closest to 1 in -4, p, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -19. Let x = -17 + w. Calculate the lowest common multiple of 8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 350.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocsq when four letters picked without replacement from {s: 2, c: 4, o: 1, q: 1, a: 9}?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 + 636*k**3 - 6300*k**2 - 4699296*k + 176033088 = 0 for k.\nAnswer: -84, 44, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 1693\/(-1696) + -1. Let x = 13783\/1696 - a. Calculate the common denominator of -55\/4 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 73\/5 of a tonne?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-15) - (-12 - (-804)\/60). Let b be 4\/(-14) - (-12)\/(-7). Let o be (b\/(-1))\/1 - 4. Put q, -10, o, 0 in descending order.\nAnswer: 0, q, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o + 10. Let a be x(7). Let d = 58 + a. Calculate the remainder when d is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**5\/30 - 27*k**2. Let z(o) = -5*o. Give z(y(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(20\/(-4)))\/(66\/(-44)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -2.4. Let p = -38 - -38.28. Let w = 0.72 + p. Which is the nearest to g? (a) -5 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*t + 14, -5*n - 434*t + 27 = -432*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90450.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*l**3 - 13*l**3 - 14*l**3.\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5942853l?\nAnswer: 594.2853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 10 = -4*k, -k - 28 = -5*k - 4*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9631 by -5.\nAnswer: -9631\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7950.936ug?\nAnswer: 7950936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -30. Suppose -2*x = 4*l - w*x + 54, -4*l = -5*x + 57. Which is the closest to l? (a) 1 (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)\/((((u*u**(-10)*u)\/u)\/u)\/u) assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 22 = -5*l + 13, 3*l = 2*z - 4. Solve -4*f + 0 = -3*i + 20, l*i + 20 = -4*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4425\/7, -2\/7, 29?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-3)\/(-54))\/(-1))\/((-22)\/(-3190)) and -28\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4879 - -4882. Solve 15*i - 12 = p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123906598 by 123906598.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1377\/(-24))\/(-9) - (-42)\/(-7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012 + -22?\nAnswer: -101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 - 2*f - 8. Let q(g) = g**2 + 28*g + 54. Let i be q(-26). Suppose i = -b, 4*r - 4*b - 38 = -r. What is m(r)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 2*z + 5, 4*z = 5*p + 88 - 101 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 5, j: 3, r: 3, v: 2}. Give prob of picking 1 r and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.28*-0.8\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -5*o - j, 4*j + 19 = -3*o + 99. Let k = 7 + o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + 0.4. Let f = b - 0. Let z = 4 - f. Sort 1, z, -5.\nAnswer: -5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.15 (b) 0.5 (c) 8 (d) -2 (e) -54\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8319 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(2 - 15\/6). Suppose k = -3*k - 2*v + 12, -2*k + 18 = j*v. Which is smaller: 1\/3 or k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -39.158?\nAnswer: 4.69896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90\/113 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*c**3\/4 + 15598*c**2 - 5675*c + 516.\nAnswer: (c + 516)*(11*c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 + 2*b - 9. Let q be x(3). What is the third derivative of 0*w**2 + 11*w**2 + q*w**5 + 0*w**2 wrt w?\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -22*c - 188. Is m(-31) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 divided by -283?\nAnswer: -113\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (2 - 3) - (133 + -178 + 52).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > -118730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61451 divided by -413.\nAnswer: -61451\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {p: 3, y: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2439 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -801314 at least -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.05 (b) 1\/6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10885\/(-476) - (-38)\/323) + 21?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.277 and 5.\nAnswer: 5.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9\/4)*j**(-4\/11)*(j\/(j*j*j\/(j*j**(-19))*j))\/j**(-1\/10) assuming j is positive.\nAnswer: j**(-5173\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let q(r) = -1493*r + 1. What is q(d(u))?\nAnswer: 2986*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19310 and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97600 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -54?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 - j. Let s be 2\/7 + 132\/(-21) - -2. Let p be x(s). Suppose 10*g = 5*g + 20, -o + 2*g - 2 = 0. Does p = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -660 in 1\/7, 0.4, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49962708 and 1044?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1556, -3102, -4646, -6188, -7728, -9266, -10802?\n\"Answer: j**2 - 1549*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*o**2 - 78 + 631*o**2 - 154*o**2 - 157*o**2 - 161*o**2 + 444.\nAnswer: o**2 + 366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.518 and 36.\nAnswer: -18.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 17*p.\nAnswer: -p*(p - 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 + ((-8)\/12)\/((-2)\/(-6)). Suppose 0 = 5*o - 16 - g, -2*x - 2*o + 2 = 0. Let z(w) = 2*w + 4. Determine z(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a300 - 6?\nAnswer: -a306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**3\/3 - b**2\/2 + b - 2. Let g(i) = -7*i**2 - 5*i + 7. Suppose 6405*p - 228 = 6443*p. Calculate p*s(u) + g(u).\nAnswer: -u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33938.29647 + -33938. Round k to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.73 + 0.992. What is n rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 574 and 120253?\nAnswer: 240506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1589236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28592 is divided by 1587?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -l + 516, -540 = -t + 5*t + 5*l. Let c = -76 - t. What is the greatest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 672 + -3529\/5. Let k = r - -34. Let h = -0.3 + -2.7. Which is the biggest value? (a) k (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/25*-5)\/(32\/40). Let s(v) be the first derivative of -v**3 - 6 + d*v**2 + 6*v. What is a in s(a) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -16 + 5 - 2*k + 10*k**2 - 3 + k**3. Let m be f(-10). What is the third derivative of -10*w**2 + 3*w**m - 5*w**6 + 2*w**6 + 14*w**6 wrt w?\nAnswer: 1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -32. Let a be (-1*((2 - 2) + h))\/(-1). Let p(s) = -6*s. Let c(r) be the first derivative of -r**2\/2 + 8. Calculate a*p(k) + 5*c(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 984, 898, 748, 528, 232, -146, -612, -1172?\n\"Answer: -t**3 - 26*t**2 - t + 1012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 2*l + 4*l)*(2*l**4 - 2*l**4 - l**4).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-660)*(36\/(-15))\/(-6)*1\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3255, 3479, 3701, 3921, 4139, 4355, 4569?\n\"Answer: -x**2 + 227*x + 3029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -277 + 275. Which is bigger: 44\/7 or a?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132617381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/3 - 2. Let u be 2707\/508 - (48\/(-8) + 11). Let j = -10\/127 + u. What is the second biggest value in h, 0.3, j, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 275?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10272 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138552 and 4539096?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33316606.\nAnswer: 2, 16658303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15*r**2 - 38*r. Let x(a) = -3*a**2 + 42*a - 30. Let y be x(13). What are the prime factors of p(y)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 26 = 22. Suppose z = 2*a + 17, f = -2*a - 2*a. Find the third derivative of 38*v**2 + z*v**4 - 4392*v - 2*v**5 + 4392*v wrt v.\nAnswer: -120*v**2 + 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.2339.\nAnswer: -0.04678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 84\/17 (c) 2 (d) 0.04 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 55977*c - 167942*c + 55980*c + 55986*c. Let l(u) = 10*u + u + 17*u. Give l(d(v)).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/2, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -c + 4*g, 2*c + 9 = 5*g + 2. Let t(y) = c - 6*y + 3*y - 99*y**2 - 7*y. Let k be t(9). What is k rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 20 + 3 = 3*b, b + 5 = 0. Suppose -1 = x, -w + 3*x + 4 = 2*x. Suppose -w*u + 4 = 16. Put 1, t, u, -1 in ascending order.\nAnswer: u, t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/(-6)*82918\/(-77)?\nAnswer: 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 - 3*t - 2. Let d be l(-1). Solve -5*v - 4 = -d*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 23. Let z be 6920\/160 - (1 - w\/(-4)). Suppose -43*d = -z*d + 16. Calculate the remainder when 158 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2 - 1 - 3*v**2 - 3*v**2 as y*v + j*v**2 + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 42 = -66. Let d = m + 157. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(49)*1 + (1*sqrt(245))\/sqrt(5))\/(-4*sqrt(35)\/(sqrt(55)\/(sqrt(11)*-3))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 743 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 292 by 522.\nAnswer: 146\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (213\/(-107352)*-168)\/(2\/450)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*k - 107*k + 2 + 3*k**3 - 1.\nAnswer: 3*k**3 - 221*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llkk when four letters picked without replacement from {l: 3, k: 2, y: 2, g: 7, v: 4}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*3*14\/(-252). Solve j = 5*f + 13, 3*j - 7*f = -11*f + w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22)\/66 - (-1 + (-890)\/6)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 188978*l - 31748308. Give v(168).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/5141 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/74, -3, 2, -16, 487, 5 in descending order.\nAnswer: 487, 5, 2, 1\/74, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 5) + 6 + 455\/7. What is the highest common divisor of 8970 and v?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 6*a**2 + 2*a + 11. Give t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, y: 4, d: 3}. What is prob of picking 2 d and 1 y?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 2)**2 + sqrt(18)\/(sqrt(294) + sqrt(6)).\nAnswer: 321*sqrt(3)\/8 + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0.11, -4, -3, 0.1, -0.06 in descending order.\nAnswer: 0.11, 0.1, 0.01, -0.06, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54.85 and -0.25144.\nAnswer: -13.791484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9575, -9551, -9507, -9437, -9335, -9195, -9011, -8777?\n\"Answer: x**3 + 4*x**2 + 5*x - 9585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1152 + -150. What are the prime factors of r?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfj when three letters picked without replacement from jfffffjffffffffffff.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lff when three letters picked without replacement from rlppplttfttttlf?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 24 = -80. Suppose -5*y = -2*f - r + 9, y = -4*f + 5. Solve 5*i - 15 = 0, -1 + y = -m + 2*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-1284))\/(9\/6). What is the third smallest value in -4\/3, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 41.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131 - -64. Let t = -63 - s. Find the second derivative of -13*q**t + 8*q**4 - 3*q**4 - 23*q - 29*q**4 wrt q.\nAnswer: -444*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -28, 75?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(4431\/12)\/(-7). List the prime factors of l + (8 - 3)*2\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + c22?\nAnswer: c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 23. Let r(f) = 1. Let j(q) = -l(q) + 6*r(q). Let u(k) = -2*k**2. Give j(u(s)).\nAnswer: -2*s**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1289\/6 - -215. Let n(u) be the second derivative of -c*u**3 + 0*u**2 + 0 + u. What is n(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51328 * 0.16\nAnswer: 8212.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 1.447 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 - 20 = 0. Let p = y + -9. Let i(t) = -t**2 - t. Let q(a) = -2. Determine p*i(j) - q(j).\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 - (324821\/(-12005) + 4\/70). Suppose -5*l = -4*m - 12, -5*l = -m - 1 - 17. Sort j, -5, m in ascending order.\nAnswer: -5, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2726346*r + 185727 wrt r.\nAnswer: 2726346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n + 4. Let q(r) = r. Suppose 10 = 5*k - 15. Let g(s) = k*q(s) + p(s). Calculate g(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76\/65 - 731619\/260. Let h = n - -2798. Find the common denominator of h and 101\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, h: 8}. What is prob of sequence rh?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -14 - 21\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 37 - 669 = -h, -353 = -b - 4*h. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34246\/93 or -367?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116532063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 10*z + 4. Let r be x(10). Let l be (2\/r)\/((-9)\/(-16578)). Is (12\/(-18))\/((-2)\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49345160383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 9*k**2 - k - 16. Determine s(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakaavzazkav. What is prob of sequence zz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322655\/8238 - (210\/(-36) - -6).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) 22.36 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 4*t**2 - 4*t**2)*(t**3 + 4*t**3 - 3*t**3) - 31*t + 5*t**5 + 31*t.\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + (sqrt(2) + 1 + 0 - sqrt(2)) + (sqrt(4)\/sqrt(2) + -1)**2).\nAnswer: -6*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 2, p: 3, m: 1, q: 3, k: 1}. What is prob of picking 1 k, 1 q, 1 p, and 1 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219230702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 148, 505, 1114, 1975?\n\"Answer: 126*n**2 - 21*n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13168 (base 10) in base 13?\nAnswer: -5cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 153106*r\/3 - 51035.\nAnswer: -(r + 1)*(r + 153105)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 3. Let c(q) = 4*q - 7. Let f(w) = -2*c(w) - 5*l(w). Let j(y) = 9*y - 5. Let t(a) = 5*f(a) - j(a). Let r(o) = 97*o. Give t(r(g)).\nAnswer: 97*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -82069 times -4\nAnswer: 328276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360470 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5627 + 5643. Solve -h = -34*f + 30*f + c, 20 = 5*f + h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 461*d**3 - 3 - 462*d**3 + 15*d**2 - 10*d - 6. Calculate u(14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000648526 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 3:14 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 4*f + 1. Let a be p(-3). Suppose a*r - r = 0. Suppose -q = -r*q. Put -0.3, -1, q in descending order.\nAnswer: q, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 6 + 6 - 4*s)*(-s**3 - 11*s**4 + s**3).\nAnswer: 11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6890808137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 1. Let j(r) = r**3 + 4*r**2 + 2. List the prime factors of j(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 3102*r - 12407. What is v(4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8976*t + 1746 = 9170*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**7\/840 - q**6\/720 + q**5\/120 - q**4\/4 - 3*q. Let h(v) be the third derivative of i(v). Calculate h(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36 + 324ab?\nAnswer: 32475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*f + 17*f + 4*d - 164, -4*f + 3*d = -732. Let k = f - 176. Solve 3*x + 0*x - u = -k, -u = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w - 99. Let q be (-240)\/(-11) + -8*(-2)\/88. Calculate b(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 7539489155?\nAnswer: -7539489154.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e9 (base 15) in base 4?\nAnswer: -22131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36611 - 214?\nAnswer: -40125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-16))\/((-60)\/16). Let z = 0.182 - -0.018. Let x be (-2)\/(-14) + (-1 - -1). What is the closest to -1 in t, z, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5643304.24999876 - 5643304. Let q = -0.25 + b. What is q rounded to seven decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + (29 - ((1 - 9) + 11 - 0) - 13).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 583 + -571 - (60 - -1) - (2 - -1 - 5)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -5, 2, 8885\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107667 is divided by 2297.\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -788 by 197.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + b**3 - 2*b**2)*(-2 + b + 2) - 17718 - 4*b**2 + 17718 + 2*b**2 - 11967*b**4 + 2*b**2.\nAnswer: -11966*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:25 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.58 + 0.22. Let k = -5.2 - x. Let u = k - -6.1. What is the third biggest value in 2, -2\/7, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by -3.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 0 + 1 + 5)*4*4)**2.\nAnswer: 9216*sqrt(19) + 52992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120*o**5 + 20*o**4 + o**2 + 19891*o wrt o?\nAnswer: -2400*o**3 + 240*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*f + k, 55*f = 60*f + 2*k - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, l: 4, z: 6}. What is prob of sequence ddz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*k + d, 3*k + 0*k - 3 = 3*d. Differentiate 1 + 4*g**3 + k - 1 + 3 with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 5666 = 2*m - 12*z, -11347 = -4*m + 5*z. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -69*j + 5. Let k(l) = -68*l + 5. Let b(z) = -7*k(z) + 6*r(z). What are the prime factors of b(6)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 16*u**2 - 72*u - 62. Let v be m(-8). Let h = 1 - 1. Solve 0 = v*q - h*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 82 = 19*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or 2?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 46*l**2\/3 - l\/3 + 46\/3.\nAnswer: (l - 46)*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/7 + 2588*t**3\/7 - 7752*t**2\/7 + 7748*t\/7 - 2582\/7.\nAnswer: -2*(t - 1291)*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p**6*p**(-1\/8))**(-3\/5)*(p*p*p**(-2\/9)*p*p*(p\/p**(-4))\/p)\/(((p**5*p)\/p*p)\/p**8) assuming p is positive.\nAnswer: p**(1603\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + -7.89. Let z = 7.7 + l. Let g = -2.7 - -3. Which is the closest to 1? (a) g (b) z (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (2 + 0 - 1)*(4 - 2 + 0) + 0 + 2 - 4 - 4 + 3 + 0)*(2 + 5*j**3 - 7*j**3 - 3*j**3).\nAnswer: 10*j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 5. Let s be l(-5). Suppose s = -3*a + a + 238. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/5, -38, -4, 2, -48?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127 (base 16) to base 15.\nAnswer: -14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395\/(-1116)*((-13)\/(-3) + -3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/4680201 and -11\/610461.\nAnswer: 14040603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from iiiiiiiiiiiiiiiyii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-4)\/7 - 1. Let q = 140525 + -140529. Which is the smallest value? (a) q (b) -2 (c) 2\/3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - 3*b**3 - 2*b**3)*(-340*b - 1 + 4 + 436*b).\nAnswer: -192*b**4 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 4 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (-31 + 41 - -39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005 is divided by 1502.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 46\/14 - (-83790954)\/434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:49 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1 + sqrt(17))**2*-2 + sqrt(17) + ((-3*sqrt(34)\/sqrt(2))**2 - sqrt(68)\/sqrt(64)).\nAnswer: 19*sqrt(17)\/4 + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*t + 444 = 0, -5*h + 0*t - 5*t = -545. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 7*q**2 + 8*q - 4. Let a = 510 - 502. Give u(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10424 is divided by 401?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 13224. Suppose c = 4*c - l. Suppose c = 4*a + 36302. What is a rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 1. Let q be z(1). Suppose -3*u + 8*u = 5. Solve -4*y + 3*w + u + q = 0, y - 29 = -5*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/966 and -11\/104811.\nAnswer: 209622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1183*z**3 + 6*z**2 - 11. Let s(k) = -237*k**3 - k**2 + 2. What is 22*s(q) + 4*v(q)?\nAnswer: -482*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8240034 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74397, 74407, 74417, 74427, 74437, 74447?\nAnswer: 74457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 55 (c) 0 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5495.475 decades?\nAnswer: 659457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**6\/30 - 83*z**4\/6 + 909*z**2\/2 - 1440*z. Differentiate m(f) with respect to f.\nAnswer: -4*f**3 - 332*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90420 and 9044740?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 126, 253, 380, 507, 634?\n\"Answer: 127*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08 - 0.58. Let d = -6 + 10. Suppose -6*v + v + 36 = d*j, -v + 24 = 5*j. Sort -2, v, p in decreasing order.\nAnswer: v, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.18 - -93.32. Let f = 98 - d. Sort -12, -5\/4, f in increasing order.\nAnswer: -12, -5\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 5:09 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 79*q\/2 - 39.\nAnswer: -(q + 1)*(q + 78)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/40 + r**3\/6 + 2*r**2. Let a(d) be the first derivative of m(d). Let y(v) = 2*v**2. Determine y(a(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 23*p**2 + 41*p - 18. Let c be q(-21). Solve -c*y + 1 = -14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 2*y**2 - 5*y - 1. Let r(v) = 2*v - 4. Let o be 1\/(-1 - 5\/(-4)). Let w be r(o). What is the units digit of i(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -1.9717269.\nAnswer: -5.9717269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019607206 rounded to 7 decimal places?\nAnswer: 0.0001961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-2)\/(4\/22). Let j = -6 - v. What is the smallest common multiple of j and 11 - (1 + 2\/(-2))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14131921.\nAnswer: 41, 344681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*p + 896 = 2741 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**3)**(-5\/3)\/((p\/(p*p**(-10)))\/(p*p**(8\/5)\/p)) assuming p is positive.\nAnswer: p**(-101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 11*t - 10. Calculate f(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(3 - (0 - -1)). Suppose -3*q - 5*q + 4120 = 0. Suppose h = 2*o - 7*o + q. What are the prime factors of o?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1063498, -1063463, -1063404, -1063321, -1063214?\nAnswer: -1063083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411975*o**3 + 411967*o**3 + 5*o**2 - 8*o**2 + 3*o**2.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41318, -82596, -123868, -165134, -206394, -247648, -288896?\n\"Answer: 3*q**2 - 41287*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = 5*x - 315, 7*x + j = 5*x + 121. Calculate the lowest common multiple of 2064 and x.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395375950.\nAnswer: 2, 5, 277, 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*f - 51*f = -690 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17493 + p**2 - 8749 + 2*p**2 - 8744.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6)\/(1\/(-1)). Let d = 0.7 + -3.2. Let l = 0.5 + d. What is the closest to l in -4, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {m: 1, s: 2, i: 5, e: 1, w: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14*z + 3. Suppose 13*h = 21 - 47. Let l(o) = 13*o + 2. Calculate h*t(q) + 3*l(q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5040) - 1*sqrt(5040)*2) + -1*sqrt(5040)*1)\/(sqrt(7) + -3*sqrt(175) + (sqrt(7) + (sqrt(7) + (sqrt(7) - sqrt(63)) - sqrt(7)) - sqrt(7))*-1))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 230 + -226. Which is the closest to 1? (a) -3\/4 (b) -18 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/2443 - -2447\/9772. Which is the nearest to -1? (a) f (b) -3\/4 (c) 4\/115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3. Let c(d) = 6*d**3 + 3*d**2 + 7. Calculate -c(q) + 2*i(q).\nAnswer: -4*q**3 - 3*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 25 - 5 = 0. Let r(k) = -k**2 + 17*k + 15. Let t be r(y). Let h be ((-12)\/15)\/(6\/t). Solve 0 = -2*v + 2 + h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 5*l + 2*l)*(76*l**4 + 104*l**4 - 16*l**3 + 15*l**3).\nAnswer: -180*l**5 + l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 24 = 7*i. Put i, 3, 2 in ascending order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1077*k**4 - 58*k**3 + k**2 + 501553*k wrt k.\nAnswer: -12924*k**2 - 348*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18758.3903 rounded to zero decimal places?\nAnswer: -18758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/11338?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 550 - 294. Does 39 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/14)\/((-15855)\/(-73990)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from ppppcpkavaappafp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 + (-15 - -13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105107 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8810 and 710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - 2*sqrt(78) - sqrt(78))*6)\/sqrt(6).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 + 0.4. Let r(t) be the second derivative of t**5\/20 + 5*t**4\/12 + 2*t**3\/3 - 5*t**2\/2 - 4*t. Let d be r(-4). Sort g, -2\/21, d in decreasing order.\nAnswer: g, -2\/21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 302.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815 divided by -763?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3)*m*m\/m**2*((m*m**(3\/4))\/m*m*m)\/(m*m\/(((m*m\/((m*m\/m**(2\/3)*m*m)\/m))\/m)\/m)))\/((m**(1\/3)\/m)**44)**(-2\/15) assuming m is positive.\nAnswer: m**(-1349\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18568105 is divided by 6189335?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2925 is divided by 89.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 + x - 1. Let h be d(1). Let i be (-3)\/(-12) + (-21)\/(-28). Let b be (4 - 3)*-2 - -5. Put b, i, h in decreasing order.\nAnswer: b, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/122746 and -17\/700102?\nAnswer: 3305181542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/8, 9.328, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 308 and 90451?\nAnswer: 27858908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 13*k**2 + 13*k - 16. Suppose -3*h = -12*x - 144, 12*x + 15 = 11*x + h. Give n(x).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 0. Let l = g - 9. Is 0 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -0*m - 5*m. Let t(y) = -y - 1. Let f be t(-5). Let r be m\/(-4)*f\/12. What is the second biggest value in 1, r, 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + 63. What is the common denominator of -103\/22 and (b\/90)\/((-8)\/(-10))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 648 - -2269. Does 50 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/14*6)\/(1 - 2). Let n(z) = -3*z - 2*z**t + 10*z**3 + 5*z**2 - 7 - 3*z**3 - 4*z**3. Suppose -35 = l + 3*l - 3*o, -4*l + 5*o = 45. Give n(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1769 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20.63488 weeks?\nAnswer: 144.44416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t + 1. Let d(f) = -3*f**2 - f - 5. Let x(y) = -d(y) - 4*z(y). Let v be x(-2). Suppose -v + 0 = 3*r. Is r at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 20 = 0, -3*g - 23 = -3*i + 2*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/7 + 6\/21. Suppose 5 - 14 = a*o. Let f(r) = -r**3 - r**2 + 3*r - 1. What are the prime factors of f(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 320 + -374 + 17 + -2 + (-2 - -7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:28 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 5*r**2 + 2*r**2 + (r + r - 3*r)*(-r - r + 3*r))*(1 - r + 2 + 0).\nAnswer: 4*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 18. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -51*f**3 + 27*f**2 + 18*f - 7. Let i(a) = -100*a**3 + 56*a**2 + 39*a - 15. Determine 6*i(o) - 13*q(o).\nAnswer: 63*o**3 - 15*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/31 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 4*z - 2. Calculate w(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1142*m**3 + 2*m**2 + 2*m + 79001 wrt m?\nAnswer: -3426*m**2 + 4*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -3, 12, 4 in descending order.\nAnswer: 12, 4, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0065215937599 and 0.017.\nAnswer: 0.0104784062401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285328 divided by -44.\nAnswer: -71332\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 13248*l**2 - 9861555*l.\nAnswer: 3*l*(l - 5065)*(l + 649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -6 in descending order.\nAnswer: 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10568 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -729*m**2 - 2*m - 2. Let s(h) = h. Determine d(s(u)).\nAnswer: -729*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -4\/3 (b) 0.3 (c) -9 (d) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 321038964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -961 - -1414. Let m = 19 + -17. Suppose -m*s = i - l, -4*i - 5*s + 1361 = -i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-6) - 1*-6. Solve -2\/5*j**q + 4\/5 + 6\/5*j - 6\/5*j**3 - 2\/5*j**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/39 - 32\/(-12). Solve -3*b + 21 = -0*b - i*r, 0 = 2*r + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 133541, 534159, 1201855, 2136629?\n\"Answer: 133539*w**2 + w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60429602 to the power of 1\/3, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 20\/(-15) - 24\/(-9). What is the first derivative of -2*j**2 - j**a + 4 + 18 wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 673008 and 144?\nAnswer: 2019024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*a = 12, -5*o - 15 = 9*a - 14*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 15*f**3 + f**2 + 12*f + 7. Calculate y(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p - 3. Give r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*z + 47*g**2 - g*k*z + 109327*g + 4*k*z - 7*k + 4*z + 4610 wrt g.\nAnswer: 2*g*z + 94*g - k*z + 109327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**7\/840 - l**5\/60 - l**3\/3 - l. Let b(m) be the second derivative of v(m). Find the second derivative of b(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8802 (base 10) to base 4.\nAnswer: -2021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/686 and -52\/49.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-1)\/(-2)*2. Let f(p) = -p - 3. Let h be f(v). Let k = -2687\/55 + 522\/11. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -100000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m\/m**(3\/4))))\/(m\/m**(-3)*m)*((m\/((m\/(m\/(m\/m**(-3))*m))\/m))\/m*m)\/(m\/m**(1\/5)) assuming m is positive.\nAnswer: m**(-151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from mcmcmmmmmmcmmmcmmm.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.3 - 0.7. Let a = -0.07 + -2.93. Put a, -2, p in decreasing order.\nAnswer: -2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4551 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z - 3. Let a be (0 + 1)*-3 - 508*z. Suppose 215 + a = 10*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -301*a - 2441. Calculate l(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 364\/4 - (-3)\/(-3). Suppose -12*t = -17*t + s. Let u = t - -2. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3442 tonnes in kilograms?\nAnswer: 7344.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25514 (base 8) in base 2?\nAnswer: -10101101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 3. Let m(x) = -x. Let a be m(2). Let g be a*2\/(-16)*8. Let z(i) = -4*i**2 + 2. Determine g*d(p) + 3*z(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 85 = -6*s + s, 4*l = 2*s - 64. Suppose 0*v + 136 = 4*v - 3*q, 4 = q. Let o = v - s. What is the greatest common factor of o and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/22 - (-56448)\/8624\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.95 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49559459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7039, 7040, 7041, 7042?\nAnswer: 7043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**2 + 13*w - 9. Let b be 1520\/(-36) - (-4)\/18. Let k be (14\/b)\/((-2)\/42). Let o(d) = -7*d**2 - 9*d + 6. Let g(h) = k*o(h) + 5*f(h). Factor g(q).\nAnswer: (q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3879382964 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*g**3 - 2*g**2 + 121.\nAnswer: 222*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 8*u**2 + 3*u - 10. Let g = 63 + -55. What is the remainder when f(g) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 47 = -2*g, -34*f + 39*f = 3*g - 33. Solve -34*b = 3*c - 38*b + g, -3*c + 8 = 2*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 38*l**3 - 347*l**2 - 345*l + 157. What is c(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75781*n + 69654?\nAnswer: -75781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2468 divide 1165638157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 7*c**2 + 8*c + 4. Let m be t(6). Suppose 8 = -3*d - m. Let r = -18 - d. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2 - m - 2. Let j(f) = -3*f**2 - 1. Let w(a) = -9*j(a) + 4*q(a). Let d be w(-4). Solve -3 = 4*s + d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -130.1614, -1\/5 in decreasing order.\nAnswer: 1\/5, -1\/5, -130.1614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4194\/(-233)*1\/(-9))\/(9\/(243\/(-6)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42100788 divided by 21050394?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -15*z - 27 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*i + 2938 + 2262. Let t = 1439 - i. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44131228 to the nearest integer?\nAnswer: 6643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 303*d**2 + 26*d - 68. Is f(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*v - 18 = -178*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 75. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1905 and 10162667.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d = -4357 + 3506 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 30 = -5*x, -3*y + 39 = -394*x + 397*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8639 divided by -106045\nAnswer: 8639\/106045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 3782\/(-10))*30\/2. Let c be i\/(-24) - 6\/(-8). Suppose -4*f = 59 - c. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/604793698 and -3\/20.\nAnswer: 6047936980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 30, 54, 100, 174, 282, 430?\n\"Answer: q**3 + 2*q**2 - 5*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11530 + 12474. What is the remainder when v is divided by 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-4*u + 14*u + 0*u)*(-14 - 3 - 70).\nAnswer: -870*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0*i + 135. Which is smaller: -26 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406314 is divided by 320.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1212 = 4*d + s, -12 = -0*s - 3*s. Suppose 16 - 6 = 2*f, 189 = z - 3*f. Let p = z + d. What is p rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 38 = -107. Suppose -8 = -4*x, 0 = 19*k - p*k + 3*x + 126. Calculate the least common multiple of k and 207.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(9\/(-54)). Suppose 4*f + 5*i - 82 = -19, f - 21 = -r*i. Calculate the remainder when 119 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 51*n = -53*n - 14, -5*n - 35 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -780*m**2*w**3*y - 69*m**2 - m*y - 34*m + 3*w**3*y wrt w.\nAnswer: -2340*m**2*w**2*y + 9*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1581 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-637)\/(-78) + -8)\/((-5)\/(-113010)). Put v, 3, 0 in increasing order.\nAnswer: 0, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1196, -1224, -1268, -1328, -1404?\n\"Answer: -8*s**2 - 4*s - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 390408226 to the power of 1\/3, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9841 - -9841. Which is bigger: j or 72\/109?\nAnswer: 72\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149212172 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3 - (-9 + 3). Let a(w) = 17*w**2 - 6*w + 46. Let i(m) = -9*m**2 + 3*m - 27. Let q(d) = -3*a(d) - 5*i(d). Let y(g) = g - 1. Give p*y(z) - q(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**6 - 2*g**2 + 9*g**6 - 12*g**2 wrt g.\nAnswer: 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-4)*(-17)\/(-68)*-18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -13.11. Let n = -0.342 + 4.232. Let o = n + s. Which is the second biggest value? (a) o (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -0.16 (c) -0.4 (d) -1\/8 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 23*u + 3 = 0. Put 5, u, 10, -5 in decreasing order.\nAnswer: 10, 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*r + 547 - 1403 = 0, -854 = -5*n - 2*r. What is the remainder when n is divided by (-118)\/(-4) + (-1)\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1535 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 5*r - 60 = 0, 78 - 81 = -3*q + 2*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 197 - 38. What are the prime factors of c?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 320 = 2*o. Let h be (o\/(-40))\/(1\/10). Let f(v) = v**2 - 13*v - 16. What are the prime factors of f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6011, 5767, 5521, 5273, 5023, 4771?\nAnswer: 4517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 5. Let t be l(6). Is -41 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7752823, 62022530, 209326011, 496180150, 969101831, 1674607938?\n\"Answer: 7752814*m**3 + 3*m**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 726 - h + 720 + 5*h**2 - 1425 + 5*h**2 + 10*h**2 to the form u + x*h + z*h**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 12753511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/5, 9, 1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 5*j**2 - 5*j - 8. Let p(l) = 2*l**3 + 8*l**2 + 8*l + 12. Calculate -8*a(r) - 5*p(r).\nAnswer: -2*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m + 173. Suppose -14 = -v + 8. What is the remainder when h(-11) is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxbaxabazabxaaabzx. Give prob of sequence xazz.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/570 and -70\/1416927.\nAnswer: 269216130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 311*f\/2 - 309.\nAnswer: -(f + 2)*(f + 309)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 328 = -5*v, 4*v = -4*u - 118 + 374. What are the prime factors of v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*j**2 + 34*j**2 - 71*j**2)*(-5*j + 4*j + 0*j).\nAnswer: 77*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*v - 601 - 520, -5*v = -d + 598. Let t = d + -12031\/21. Which is the nearest to 0.1? (a) 5 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*y - 0. Let l = 5 + y. Suppose 0 = -t + z + 14 + 2, -4*z - l = -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 thousands digit of 1631349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f - 46*f + q - 790 = 0, 3*f - 1175 = -4*q. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 787 - 3418 = -3*k. Suppose p = -o + 5*o + 287, 0 = -3*p - 4*o + k. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.9593 + 9.95885509. Round h to five decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 35*s**2 - s. Let o be a(1). Let d be 6\/8*(-440)\/(-165). Suppose -2*w + y = 2*y + 53, 0 = w + d*y + o. Round w to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -89636*c - 1165408. Calculate b(-13).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6952281 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*-8*1\/30\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - u**2 + 0*u**2 + (u + 0*u - 2*u)*(-1 + 1 + u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2957052, -5914095, -8871138, -11828181, -14785224?\n\"Answer: -2957043*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38925 + 20796 = 1171*v for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccrbcbcccbrbccd. Give prob of sequence cdc.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*q + 1925 = -3*g + 60*q, -2*q - 1284 = 2*g. Let z = g + 693. What is the greatest common factor of 494 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a**3 - 9*a**3 + a**3)*(5*a - a + 10*a)*((1 + 1 - 3)*(2 - 5 + 5) + 2 + 2 - 5 - 2 - 1 + 2).\nAnswer: 1232*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 154*d**3*x**2 - 491*d**3*x - 2*d**3 + 424*d**2*x**2 - 1169*d**2*x wrt d?\nAnswer: 924*x**2 - 2946*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 5*r + 111. Suppose 7*v = 3*v - 212. Let d = 79 + v. Calculate the greatest common divisor of r and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -10558, 394 in ascending order.\nAnswer: -10558, 0.5, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.26\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.315777 - -1.56.\nAnswer: 2.875777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 5208\/(-80)*(-2)\/18)\/((-20)\/100).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8 and 51\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1292 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-10) - 1*(-3029)\/(-130). Sort 0.3, x, 32 in descending order.\nAnswer: 32, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 4*x**3\/3 + 15*x**2\/2 - 9*x + 74. Let z be 1 + -3 - (8 - (0 - -1)). Does 18 divide q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -5*n**4\/24 - 2*n**3\/3 + n**2. Suppose -29 = -3*p + 5*y, -3*p - y + 2 = -3. Calculate d(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b - 7. Let w be u(-4). Let g = w + -3. Is 6\/3 + 258\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*(-1)\/3*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1049\/41 in 0.5, 3\/7, 1, -5, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from thzhyfzy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 15*p + 3. Let u(s) = s**3 + 5*s**2 + 7*s - 3. Let j be u(-4). Let n be m(j). Solve -5*r + 2*h - 12 = 0, -r - n*h = -0*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -25, 24543 in decreasing order.\nAnswer: 24543, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*p**6 - 23*p**5 + 6*p**4 + 17802*p**2 - 4*p.\nAnswer: -5400*p**3 - 1380*p**2 + 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = b + 11. Let c = 13\/5 + -119\/40. Is c smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303 - 145. Suppose 0 = 4*p + 17 + 403. Let x = g + p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 18*o**2 - 3*o + 56. Determine j(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahahaaxxhj. What is prob of sequence jx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*k - 5332*k - 821844 = 2438*k for k.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17*o + 181. Give f(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -28*s. Let i(n) be the first derivative of -9*n**2 - 129. Calculate i(y(f)).\nAnswer: 504*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*u**2 + 22*u**2 + 1 + 26*u**2 to the form h + m*u**2 + t*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 q, and 1 g when three letters picked without replacement from {y: 3, q: 3, g: 5, e: 2, c: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -2)\/(-6) - 27\/54. Let q(i) be the third derivative of 0 + 2\/35*i**7 + 1\/3*i**4 - 3*i**2 + 4\/15*i**6 + 0*i**3 + 7\/15*i**5 + v*i. Factor q(r).\nAnswer: 4*r*(r + 1)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(9)\/sqrt(3)) - (sqrt(720) + 0) - ((sqrt(55)\/(1*sqrt(11)) - sqrt(5)) + 2)*-6)**2.\nAnswer: -264*sqrt(5) + 749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 + 338206.775983.\nAnswer: 338208.075983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 2. Let o be l(-5). Let s = 94 - 90. Suppose -5*z + 20 = s*a, 8 = a + 2*z - 0*z. Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9538983.5 and 0.1.\nAnswer: 953898.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.639 and 92667.\nAnswer: 59214.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 431?\nAnswer: 5\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from wmbmwmnuwrwmnmrw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022882372 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48299643 to the nearest integer?\nAnswer: 6950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8863.7 kilometers to millimeters.\nAnswer: 8863700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1097, -1095, -1091, -1085, -1077?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1061\/2 or 532?\nAnswer: 532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 82854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567 - 14*o - 567.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + b - b)*(-34*b - 26*b - 3*b) in the form t*b + u*b**2 + w and give u.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (822107\/22 + -34)\/(2*(-2)\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*k = -253, 2*f + 2*k + 47 - 187 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1 + (2 - 204\/48)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.20001 and 0.051.\nAnswer: 0.11220051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -99 - (-4 + (4 - 10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/42*3)\/((-2)\/(-2)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -9, -1.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280 - 44*p + 148 + 133.\nAnswer: -44*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 + -6 + 3)\/1. Suppose 2*i - q*i = -10. Let c = i + 2. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -1 - sqrt(833)) + -2)**2 - -1*(sqrt(17) + (sqrt(17) - (sqrt(17) + sqrt(17)*2 + -1))**2 - sqrt(17)).\nAnswer: -4*sqrt(17) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 + -209284469219.6.\nAnswer: -209284469237.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yylyyvlv. Give prob of sequence vv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.244 + 0.244. Which is the second biggest value? (a) -0.4 (b) -4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129 + -52 - (4 + (8 - -2) + -8)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*z - 4. Let l(u) = u + 5. Let d be l(-3). Sort d, z, -4 in ascending order.\nAnswer: -4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16531.1 times -0.05683?\nAnswer: 939.462413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -6\/5, -5, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/5 + 32*h**2\/5 - 136*h\/5 + 32 = 0.\nAnswer: 2, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17498.93t?\nAnswer: 17498930000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2 - 4. Let a = -0.334 + 5.334. What is the closest to y in -0.1, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3621, 13003, 28675, 50667, 79009, 113731?\nAnswer: 154863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47440, 47402, 47360, 47314?\n\"Answer: -2*p**2 - 32*p + 47474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12905435 divided by -5?\nAnswer: -2581087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234262.\nAnswer: 2, 7, 29, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 + -129. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 51 = w. Let g = -23 - w. Let p be (-35)\/21*g\/5. Which is the second smallest value? (a) p (b) 1 (c) -0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 + 2*o**2 + 3*o. Let v(k) = -6*k**3 + 4*k**2 + 6*k + 1. Let u(g) = -15*j(g) + 6*v(g). Find p, given that u(p) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 4*l + 42*l)*(-l**4 + l**4 - 2*l**4) + (0*l + 0*l - l**3)*(2*l - 2*l + l**2) - 4*l**5 + 2*l**5 + 5*l**5.\nAnswer: -92*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 9 (c) 0.04 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 16*x**2 - 13*x - 21. Let g = 224 - 209. Let c be p(g). Solve 0*q - 2*q - 5*v = -19, 3*q - 5*v = -c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15426386*q**2 + 15503437.\nAnswer: 30852772*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -578 + 583 - (-7 - (0 + 0))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:55 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -6700, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 32*g - 2. What are the prime factors of p(2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -10*r**2 - 6*r + 2. List the prime factors of w(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2654312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.063563 + -2.067. Round j to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m + 234. Let o(w) = -920*w**2. What is f(o(r))?\nAnswer: 5520*r**2 + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (-5*sqrt(114)*2 - sqrt(114)))\/sqrt(6) + 4.\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49965 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6 - (-295)\/(-15))*(-489)\/815.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23275 + 4617 = 19*h. Which is bigger: h or 1467?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -278 - -304. Suppose -11*z = 7 + g. Let r be -2 - (2 - 2)\/1. Is r <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14709450 divided by -140090?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8448 (base 12) in base 3?\nAnswer: -201211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00198447 rounded to 5 decimal places?\nAnswer: -0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 6*o + 4. Let g be p(6). Suppose -2*j = -3 - 1, 0 = -r + j - g. What is the units digit of (-12)\/18*3\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -748110834 divided by 11166\nAnswer: -66999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3. Let t be (-8)\/4*(-1 + 4 - -3). Let q(b) = b + 1 + 2 + 9. Give t*x(i) + 3*q(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + -17 + (11 + -9 - -7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-405)\/225)\/(3\/(-10)). Suppose l*a - 239 = 49. What is the smallest common multiple of 112 and a?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3400) - sqrt(3400)*-2) + sqrt(3400) - (sqrt(2176)*2 + sqrt(2176)))\/((sqrt(12) + ((1*sqrt(132) + sqrt(132))\/sqrt(11) - sqrt(12)))\/sqrt(6))*-6*3.\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 16*z + 617, 98*z - 62 = -5*s + 99*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 316, 1274, 2872, 5110, 7988, 11506, 15664?\n\"Answer: 320*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*b + 104, -5*h + 61 = 3*b - 191. Calculate the remainder when h is divided by ((5 - 8) + 2)*(-21)\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117843640?\nAnswer: 2, 5, 2946091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 17 + 1343 = 0. Suppose 0 = -a + 6*a - l. Suppose 0 = -4*c - 4*b + a, 0 = -5*c - 2*b + 191 - 9. What is the greatest common divisor of c and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200354691305314 + 2*r**3 - 200354691305314.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78569760 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-4\/9))**(-3\/8)*m**(2\/21)\/(m\/(m**(-16)*m)*m*m) assuming m is positive.\nAnswer: m**(-527\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7635 is divided by 2536.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 517547990.95 and 0.093.\nAnswer: 517547991.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + g = 2*g + 18, -2*g = 0. Let t = -5 + k. What is the second derivative of r + 2*r**4 + 0*r**t - 3*r**4 wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -4)\/((-1)\/1). Let j be (3\/r)\/((-1)\/(-533)). Suppose 5*w = 162 + j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5281704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23434290, -23434288, -23434286, -23434284?\n\"Answer: 2*m - 23434292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 21*f - 15. Suppose -3*h + 5 = 2*h. Let c(v) = -v + 1. Let b(x) = h*k(x) + 15*c(x). Let y(n) = 2*n**2. Calculate b(y(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, -28, 0, -0.2, -5\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/63 - (-1)\/9. Which is the biggest value? (a) x (b) -4\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlgd when four letters picked without replacement from {a: 2, h: 2, l: 1, t: 2, g: 1, d: 4}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28357 is divided by 9140?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/9 (c) -1\/4 (d) -1\/2 (e) 0.0324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 1:58 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*g + 442*g + 10*g**2 - 868*g.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.5, -1, 375?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l - 45. Let r be n(8). Suppose 0 = -3*b - r*c - 72, 2*b = -4*c - 1 - 51. Let s(i) = -i + 1. Let k be s(-1). Which is bigger: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 133761464*v + 133761460.\nAnswer: 4*(v - 33440365)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42b3 (base 15) to base 13\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i = -3*x + 73, 0 = -4*x - 3*i + 107. Suppose -7*u + 5*u = -x. What is the remainder when 22 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -112\/11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13784.338 * 3.\nAnswer: -41353.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6763.89746 rounded to zero dps?\nAnswer: 6764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 - 94 - (-5 + -6 - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -456 in 2\/7, -3\/4, -1\/632?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 0.1069528241308?\nAnswer: 0.2930471758692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.07455.\nAnswer: 0.22365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583313914 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 27, 1, -0.2, 2, 1\/92382 in increasing order.\nAnswer: -2, -0.2, 1\/92382, 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4\/6 - 4130*n**3\/3 - 408825*n**2 - 133440250*n\/3 - 9938918125\/6.\nAnswer: -5*(n + 115)**3*(n + 1307)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5096?\nAnswer: 1\/5096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -2\/23, -2\/5, 0.2 in descending order.\nAnswer: 0.2, 1\/9, -2\/23, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/121223 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3892340 times -2\nAnswer: -7784680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3026 - -3026.1. Which is the nearest to 0.2? (a) g (b) -4 (c) -0.2 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -8*z**4\/3 - 31*z**3\/6 + 4*z**2 - 25. List the prime factors of f(-23).\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713099259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 475991168, 475991163, 475991154, 475991141, 475991124, 475991103?\n\"Answer: -2*w**2 + w + 475991169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-498)\/(-26) - (-2)\/(-13). Suppose 16*w - z*w + 6 = 0. Suppose -w*g - 16 + 76 = 0. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 68*n**3 - 13*n**2 + 3*n - 1. Is m(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-21))\/(3472\/9114))\/((-3)\/(-104))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 21. Let r be (-15 + -1)*p\/(-12). Suppose 479 = -0*s + r*s + 3*d, 3*s = -3*d + 357. What are the prime factors of s?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011221 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 17*u - 68. Let j be (-3)\/(12\/(-28)) + -17. Let q be x(j). Solve q*h - 17 = -9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -61*(-9)\/((-9)\/(-1)) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 999701 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -766 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**8\/a)**(-2\/25))**(-23) assuming a is positive.\nAnswer: a**(368\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12342 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 11*g - 60)*(-4*g + g - g)*((3*g + 0*g - g)*(-3 + 4 + 1) - 2*g - 1 + 1).\nAnswer: 88*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4774.9564 rounded to the nearest ten?\nAnswer: -4770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 80 = j - 3*y, 0 = 2*j - 5*y - 138. What is the lowest common multiple of j and 20?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v - 2*v + 2*v + (v - 2*v - v)*(-2 - 2 + 5).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 279673780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29860163771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(2\/7)))**(-22)\/((p*(p\/(((p**(2\/5)*p)\/p)\/p))\/p)\/p)**(-45))\/((p**0*p**(2\/7))\/(p**(-2\/7)\/(p\/(p**(-5)*p)))) assuming p is positive.\nAnswer: p**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 4 = -2*j - 3*k, -7 = j + 4*k. Sort 4, -6, 3, j in ascending order.\nAnswer: -6, 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4083928198 to the nearest integer?\nAnswer: 63906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12) - (-11)\/(-4). Let q(a) be the first derivative of 33*a**4\/2 - a**3\/3 + 5*a**2\/2 + 6*a + 49. Let p be q(u). Round p to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t. Suppose 3*w - 18 + 3 = 0. Let y(x) = 5 - x - w. Let g(d) = -b(d) + 4*y(d). Let c(a) = a. Give g(c(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16303?\nAnswer: 7, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -62\/5 in -0.3, 1, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158 = 236*m - 2272 - 2190 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/18)\/((-25)\/(-75)). Let y(w) = -43*w**3 + 5*w**2 - 5*w. Let t(i) = -44*i**3 + 4*i**2 - 4*i. Determine o*t(j) + 4*y(j).\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4 - 4. Let c be (6 - 8) + -1081 + n. Let w = c + 4485. What is w rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from yiizzzoyidszddd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8401634 (base 9) in base 11?\nAnswer: 25966a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03597*-55.\nAnswer: -1.97835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - s = 216. Solve -3*h + o + s = 0, 4*h - 4*o = -0*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 500685 and 700959?\nAnswer: 3504795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/270)\/((1144\/(-99))\/8).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-1\/2)))\/i)**(-2\/51)\/((i**5\/i)\/(i*i**(-1\/4)*i*i))*(i**(-1\/11)\/(i**10\/i*i))**38 assuming i is positive.\nAnswer: i**(-287715\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4330, -4328, -4324, -4318?\n\"Answer: s**2 - s - 4330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.91168 plus 0.19?\nAnswer: 29.10168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/3 - (687 + 15). Let z be 3\/(-12) + 415\/(-20). Is i\/z + 8\/(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*424.\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5517653 litres?\nAnswer: 551.7653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:52 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from bxbxxxbxxbxxbxxxxx?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-10))\/(1 + 1). Which is the third smallest value? (a) -0.4 (b) 2\/3 (c) x (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 4, z: 1, j: 1, a: 1}. What is prob of sequence jnn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = -6*o. Let n(r) = 0*r + 1 + r + r**3 - r**2 + 3*r. List the prime factors of n(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61056 and 35712?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 18 = -5*t, 5*j - t + 20 = -6*t. Let k be (20\/3)\/(j\/3). Is (-392)\/(-6) - (2 + k\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29.9 and 0.79653.\nAnswer: 23.816247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*h - 5, -3*a + 2*h + 3*h = -7. Let k(r) = 13*r**2 + 13*r + 17. Is k(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6772 times 0.15?\nAnswer: 1015.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898994.\nAnswer: 2, 17, 137, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 10. Let y be (-3)\/236*(0 + -4). Let i = -192\/295 + y. Which is the third smallest value? (a) i (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -58 = -729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 2504607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-2\/3)*j)*j))\/(j*j\/(j*(j*j\/j**(-18)*j)\/j*j)*j) assuming j is positive.\nAnswer: j**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*m = 72, 3*v + 91*m = -7471 + 7901 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 7 = 5*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -1\/5 (b) 4 (c) -213.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l - 2370 = -256*l. Let j(m) be the first derivative of -m**4\/4 + 3*m**3 + 5*m**2 - 2*m - 5. What is j(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Factor -8 + 16 + 4 + 12*p + 3*p**t.\nAnswer: 3*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*z**5 - 3*z**6 - 885 + 186*z**2 + 885 - 15*z**5 wrt z?\nAnswer: -360*z**3 + 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -208*a**2 + 22*a + 57. Let k(s) = -103*s**2 + 12*s + 34. What is -5*k(u) + 3*p(u)?\nAnswer: -109*u**2 + 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 21 + -19 - (15 + 4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 2*o - 110. Let i(q) = q**3 - 9*q**2 - 13*q + 11. Let x be i(9). Let h = x + o. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -19, -50, -79, -106, -131?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9f4c94 (base 16) in base 15?\nAnswer: -db3438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 58. Let m = -8 + 6. What is the remainder when s is divided by (-13)\/(-2) + (-1)\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6987)\/(-5) - ((-64)\/40)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hro when three letters picked without replacement from rhfrqofrfhr?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17350301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 7, 3\/4, -1, -0.2, 21660?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99737.5 + 99737. Let o = 0.12 - 0.23. Which is the second biggest value? (a) j (b) 12 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 58718088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 9 = -4*p, 3*j + 3 = 2*p - 4. Put -3, 10, p in decreasing order.\nAnswer: 10, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 7*h = 0. Suppose 2*y = h, 0 = -5*j - y - 3*y. Is -2\/11 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 50414?\nAnswer: -50411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1181397076?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 130c0ab?\nAnswer: 130c0b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Solve -f*x - 4 = -0*g - 2*g, -5*g - 2*x + 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2836 + 11739 = 494*a - 12273 - 1804 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 12. Let t be q(9). What is the derivative of 4 + n**2 + 0*n**2 - t*n**2 wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126029144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 10, m: 3, y: 1}. Give prob of sequence ovmo.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 7*y + 9. Let l(o) = 8*o - 13*o + 1 + 2*o + 2*o. Let a(g) = -5*l(g) + n(g). Calculate the lowest common multiple of a(-6) and 14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140508 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92070 and 5016?\nAnswer: 6997320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 11 - 16 + (2 + 3 - 2)*(2 + 2 - 3) - 2 + 1 + 3)*(-6*x + 2*x + 0*x) + (5 - 3 + 0)*(x - 2*x + 0*x).\nAnswer: 66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17370 - -17374. Let u(l) be the first derivative of -1\/2*l**4 + c*l**2 - 16*l - 16 + 4\/3*l**3. Factor u(r).\nAnswer: -2*(r - 2)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0*f + 0*f**3 + 11\/12*f**4 - 41\/60*f**5 - 41*f**2 + 0. What is the second derivative of m(x) wrt x?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-85)\/(-510))\/((-15)\/2))\/(-2*(-4)\/16)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209 - 206. Solve -4 = u*z + 2*y, y + 0 = -z - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2821*i**4*t - 7*i*t + 141*i + 1 wrt i.\nAnswer: 33852*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143438305 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2078106496 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 133*u - 131*u - 3 - 11. Suppose -4*v + 27 = -v. Let f be a(v). Solve -3*t = -4*t + f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -109.\nAnswer: -4.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 61*d - 18*d - 38*d.\nAnswer: -126*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-273)*((-544)\/51)\/(-16)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**6))**41 assuming q is positive.\nAnswer: q**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 52, 94, 172, 298, 484, 742, 1084?\n\"Answer: 2*q**3 + 4*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5306*u + 9606?\nAnswer: 5306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q - 1. Let r be d(1). Solve r*h = -4*u, -5*u = -10*u + 4*h - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - w**2 + 3*w - 2. Let t be i(1). Let l be (-4 - t)*(-3)\/2. Solve -l*v = 2*x - 21, -x + 11 = v + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 = 2*b + 5, -w + 4*b = 1. Suppose 0 = w*m + 3*j - 3, -m = -2*m - 4*j - 5. Suppose 0 = -2*k + m + 3. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-339))\/(0 - 1). Let f = k - -223\/339. Let q = 6 + -6.1. Which is the third smallest value? (a) f (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5615847 and 2495932?\nAnswer: 22463388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 16 + (-49 - -18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0.04, -5 in increasing order.\nAnswer: -5, -3, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 49595.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 f when three letters picked without replacement from ifhhlleilhrleeh?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 170022885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -748*y + 2*y - 204*y + 24*y to p + i*y and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169 * 0.04189.\nAnswer: -7.07941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 6, -279, -5, -0.056, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrgrgecrxdcgccxxg. Give prob of picking 1 e, 1 r, and 2 c.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3115046 + 3115045.2700211. Let i = p + 0.73. What is i rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -42. Let t(m) = -m - 1 + 5 - d. Give t(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x + 1. Let b(a) = -a. Let y(v) = b(v) - m(v). Calculate the remainder when y(-6) is divided by (-438)\/146 - (-26)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 2*k + k - 4*y, k + 7 = y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1008 - 1008 - 17*o + (3 - 6 + 2)*(274 + 3*o - 274) to k*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(750\/40))\/((12\/(-9))\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let j(o) = -2631*o - 11. Give f(j(l)).\nAnswer: -2631*l - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**9\/252 + 229*t**6\/120 + 58*t**5\/15 - 4*t**2 - 3*t. Find the third derivative of q(a) wrt a.\nAnswer: 240*a**3 + 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*f + 17. Let y(d) = d**2 - 7*d - 6. Let g be y(f). Suppose -4060 = -g*b + 5340. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 72, 178, 338, 558, 844, 1202, 1638?\nAnswer: 2158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*h - s - 2, -s = 3*h + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**6\/120 + y**5\/30 + y**4\/4 - 7*y**3\/6 + y**2 + 8. Let n(f) be the second derivative of b(f). Is n(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 509, -4, 4, 2, -116, -2, 0 in increasing order.\nAnswer: -116, -4, -2, 0, 2, 4, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5bfcd (base 16) to base 13\nAnswer: 102662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4632577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 5, -42924 in ascending order.\nAnswer: -42924, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Express (20*c - 8*c + 5 - 11*c)*(-138*c + 80*c + 0 + 0) as r + h*c**2 + z*c and give h.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (15 + 42\/(-3))\/((0 - -1)*-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/6 + (-15)\/(-90).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -48, 5 in decreasing order.\nAnswer: 5, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**2 - 3*w - 8. Is m(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0.8. Let r = 181.8 + -182. Let y = -2 + 2. Which is the closest to r? (a) y (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1505\/129*(-378)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (sqrt(500) - (-1*sqrt(500)*4 + sqrt(500)))\/((sqrt(484) - (-3*sqrt(484) - sqrt(484) - sqrt(484) - sqrt(484)))*-6 - sqrt(484)).\nAnswer: -6 - 20*sqrt(5)\/473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a303 (base 11) to base 4.\nAnswer: -301303221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -3. Let h = 0 - n. Let j = h - 2.7. Sort -0.3, 5, j.\nAnswer: -0.3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1038, 2084, 3140, 4206, 5282, 6368, 7464?\n\"Answer: 5*o**2 + 1031*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6213541310?\nAnswer: 2, 5, 17, 19, 23, 83639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0 + 2. Let c(d) = 2*d**2 - d + 2. Calculate the remainder when c(p) is divided by -1*(-1)\/((-1)\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1036.608 tonnes to nanograms.\nAnswer: 1036608000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1412*r**5 + 1271*r**2?\nAnswer: 84720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 87 = 0, 140*p + 245*q + 845 = 250*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 - 64. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 10 = 16*j. Suppose j*b + 0 - 30 = 0. What is the tens digit of b\/15*-2 + 204\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 8:22 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 - 161. Calculate the highest common factor of 42 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12678 - 12737. Put -32, z, 1 in decreasing order.\nAnswer: 1, -32, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 12*h**2 + 10*h + 13. Let s be t(11). Suppose s*z + 220 = 7*z. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 12*o**2 - 13*o + 29. Calculate b(-11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5 + 5 - 5 - 4. Let n(c) = 31*c + 4. Let r(v) = -n(v) + 4*w(v). Let x(d) = -d**2. What is r(x(u))?\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1263914, -2528663, -3793412, -5058161, -6322910, -7587659?\n\"Answer: -1264749*u + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12319200 to the power of 1\/2, to the nearest integer?\nAnswer: 3510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.3 and -20.7.\nAnswer: 296.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.796 rounded to the nearest integer?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q**2 - q + 2. Let s be x(8). Suppose 420 = -k + 3*u, -2*k + 4*k + u = -s. What is the smallest common multiple of 22 and k\/(-27) + 4\/6?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + k**2 + k. Let r(g) = 7*g**3 + 5*g**2 + 7*g + 395. Let x(b) = r(b) - 6*w(b). Is x(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3686 by 97.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 108.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3494783484 to the nearest integer?\nAnswer: 59117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -248.93 - 0.07. Let p = 253.95 + a. Let q = p + -4.9. Round q to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000020284 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 173523, 173534, 173559, 173604, 173675, 173778?\n\"Answer: o**3 + o**2 + o + 173520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*y = 532*y + 152 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 22 - 2 = 0. Solve 5*v - s = -6*s - r, -v + 11 = 4*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*o - 293*o + 148*o)*(-o - 3*o - o) - 9 + 4*o**2 + 9 + (2*o + 5 - 5)*(3*o - o + 0*o) + 0*o**2 - 5*o**2 + 4*o**2.\nAnswer: 427*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23.9 in 3, 1, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37909063030*p**2 - 37909063030*p**2 - 4*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13907771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.068725748 to three dps.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3045, 24373, 82263, 194997, 380857, 658125, 1045083, 1560013?\nAnswer: 2221197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*p + 358 = 0, 3*p + 1 + 2 = 0. Let m = d - -122. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3018 + 3268. Which is smaller: 29 or w?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*n + 61 + 29 - 29 + 4*n wrt n?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1057 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 105946 divided by -105946?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -490*r + 1420. Is y(-95) a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**3 + p**3 + 2*p**3 + (-p**2 - 3*p**2 + 5*p**2)*(6*p + 13*p - 8*p) - 4*p**3 + 6*p**3 - 3*p**3 to the form r*p**2 + s*p**3 + t + k*p and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -89. Solve -3*t + 1 = -z, 0 = -5*t + t + x*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 27*v + 5 = 0, -t + 4*v = -2989. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45\/30)\/(1\/(-321*2)). Let s = 966 + k. Solve -64\/7 + 60\/7*f**2 - 100\/7*f**s + 96\/7*f = 0 for f.\nAnswer: -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32775 divided by 488.\nAnswer: -32775\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 1. Let u(r) = r**2 + 24*r + 10. Let b(n) = 5*m(n) + u(n). Is 5 a factor of b(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 32*o = -o + 50380. What are the prime factors of o?\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x. Let y(d) = 6*d**2 - 5*d**2 - 2 + d - d. What is m(y(v))?\nAnswer: 3*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6610706, 13221356, 19832006?\nAnswer: 26442656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-8)*((-32)\/10)\/(-4). Solve 2*f + 16 = -p*f - 4*b, -16 = -4*f + 4*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 - (5 + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 274689.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-49))\/((-4)\/(-56)). Let w be r\/(-5)*(-50)\/36. What is the nearest to 0 in 3, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1377)*-1 + 5)**2 + -1.\nAnswer: -18*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607*g - 83988*g**2 + 737*g + 83953*g**2 - 130*g.\nAnswer: -35*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -934*n**3*t**2 + 12*n**3 - 448*n**2*t - 485*n*t**2 + 4*n*t - 258*t**2 wrt n.\nAnswer: -5604*n*t**2 + 72*n - 896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3 - 3)*(3 - 3 + 2)*(525*c + 433*c + 364*c).\nAnswer: -2644*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 81431 = 69497. What is the remainder when v is divided by 153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2098086733?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994312273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 <= 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 42*b - 90. Let u(w) = 2*w**3 + 52*w**2 + 51*w + 65. Let l be u(-25). Give s(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 3 + 1 + 0*t)*(-2 + 7 - 4)*(0 + 0 + 2) in the form q*t + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**24)\/m)**(1\/5)*(m\/((m**21*m)\/m*m))\/m**33 assuming m is positive.\nAnswer: m**(-294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16322385.000066 - 16322454. Let c = 69 + f. Round c to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/20 and 95\/883738?\nAnswer: 8837380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-6))\/5*6. Which is the smallest value? (a) -3 (b) n (c) 1\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -10 - (16 + -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 + 16*b + 4. Let m(l) = 4*l**2 + 12*l + 3. Let c(f) = -4*m(f) + 3*r(f). Let o(x) = -253*x**2. Calculate o(c(v)).\nAnswer: -253*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -2)\/((-1)\/14). Which is smaller: q or -27?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/3)*y)\/y)**(4\/7)*(y*y*(((y\/(y*y**4))\/y)\/y*y)\/y)**(11\/2))**(-3\/2) assuming y is positive.\nAnswer: y**(233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11395 and 1333.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 169028460 to the power of 1\/2, to the nearest integer?\nAnswer: 13001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -109641 times -6\nAnswer: 657846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 308\/19, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 212 - 11\/9*p**3 - 1\/12*p**4 + 0*p - 14\/3*p**2. Factor v(y).\nAnswer: -y*(y + 4)*(y + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 5) to base 7.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*177\/118.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1894066, 5, 7, -3.\nAnswer: -1894066, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 51. Let t be n\/(-8) + (-6)\/4. What is the smallest common multiple of 3 + t + (20 - -1) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84903.35 * -0.3.\nAnswer: 25471.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60142\/291 greater than 207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 5*k - k)*(1 - 2 + 2) + (-2*k - 6*k + 7*k)*(1 - 3 + 3).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l - 6*l**2 + l + 4*l**2 + 7*l**2 - 24.\nAnswer: 5*l**2 - 11*l - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/4*(7 - 3). Let o(f) = f**3 - 5*f**2 + f - 7. Let d be o(u). Let t(k) = -k**3 - k**2 + 4*k + 3. Let w be t(d). Are 0 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -59*c**2 + 3*c - 3. Let u(a) = -295*a**2 + 13*a - 17. Determine 11*l(s) - 2*u(s).\nAnswer: -59*s**2 + 7*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 587*d + 141465. Calculate k(-241).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(99\/(-77) + (-26144)\/(-3059)) - 7?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5\/3 - 10464*l**4 - 2585024*l**3\/3 - 54702728*l**2\/3 - 15701524*l + 104423720\/3 = 0. Calculate l.\nAnswer: -7765, -41, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*h - 491 = 0, -4*c - 3*h = -c - 300. Let y = -3 - -2. Let o be (-11 - (-4)\/2)*y. Calculate the greatest common factor of c and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/117198 and -3\/6081274?\nAnswer: 54731466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*p - 218*p - 214*p - 218*p + 859*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4118300*w**3 - 2*w**2 - 748*w - 10.\nAnswer: -24709800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54042 (base 6) to base 11\nAnswer: 55a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = f + 3*o, -2*f + 4*f = -5*o + 51. Suppose -b + 3851 = 3847. Calculate the least common multiple of b and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 + 80. Let y = a + 24.99832. Round y to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b. Let u(w) = 116*w. Give p(u(t)).\nAnswer: 348*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46586393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 398833 + -696133. What is s rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -15*d - 148. Let p be y(-14). Solve -p*h = -67*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 4\/5 (b) 4 (c) -36 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 579366720 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36454 - -1684?\nAnswer: -34880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 0*m + 8*m - 7*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4 = 3*n + 15, 0 = -5*g + 3*n + 31 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {j: 6, l: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-96)\/8 + 8)*(-222)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 + 2220011?\nAnswer: 2211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g - 10. Let s be m(0). Let k(n) = -n - 7. Let l be k(-16). What is the units digit of 1 + l\/(-6)*s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 122\/3, -1\/2, -766?\nAnswer: 122\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k + 15. Let u(a) = a - 1. Calculate 6*u(z) + v(z).\nAnswer: z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3025))\/(4*sqrt(35)\/sqrt(7))*1.\nAnswer: -11*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1344636 (base 8) to base 5.\nAnswer: 44114134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9337354 and -0.4.\nAnswer: 9337353.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.4 - -8. Let n = o + -0.59999972. What is n rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1010 and (28635\/(-966))\/(60\/(-21))?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 + -115. Suppose 12*q - 295 + g = 0. Calculate the remainder when 42 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 108 = -6*j - 2*r, 9*r - 194 = -j + 5*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 4*j - 11. Determine h(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3239?\nAnswer: 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 11*i**2 + 3 - 12*i**2 + 29*i**2 to k + j*i**2 + q*i and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116545585 is divided by 315?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3879 + -3876. Let h = 16.38 + -0.38. Let r = 2 + 2. Which is the fourth smallest value? (a) r (b) g (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475370 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 987157 (b) -3\/5 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 take away -0.0042776?\nAnswer: 159.0042776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + x - 2*x + 0*x + 4*x + (-6*x + 2*x + 2*x)*(-2 + 11 - 1) - 2*x - 1 + 1 + x - 2*x + 0*x + (3*x - x - x)*(-2 + 2 - 2) - 3 + 9*x + 3.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 2*g - 3. Let l be d(3). Let p be ((-3)\/6)\/(1\/l). Suppose 10 = v + p. Calculate the highest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/(1010\/7878)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4313 or -4302?\nAnswer: -4313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -2\/7*v**7 + 0*v**3 + 0*v**5 + 0 + 0*v**2 - 1\/2*v**4 + 7*v + 0*v**6. Find the third derivative of p(a) wrt a.\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 11*n - 6. Let a(b) = -10*b + 5. Let y(k) = -6*a(k) - 5*d(k). Let w(j) = 4*j. Calculate w(y(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2 - c + 2 + 5. Let j be r(7). Differentiate -2*y**3 + 4 - j + 4 - y**3 with respect to y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*d - 2*d + 3, 2*s - 3*d = 43. Let h be (-436)\/6*21\/s. Let j = 155 + h. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - (69 + -80)) + 11 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 1\/4, 1, 12\/613, 0.2, 2?\nAnswer: 12\/613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-132)*(-34)\/(-85)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p - 1. Let j = -90 - -96. Let i(n) = 9*n - 2. Let b(c) = j*i(c) - 14*s(c). Suppose -10*d = -7*d + 9. Calculate b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44447*q - 22243*q + 5*w = 22230*q + 44, -2*q + 5*w = 68 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45256204 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/22*(-2)\/12. Let u = m + 1\/4. Is u at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(136))\/sqrt(8))**2 - ((sqrt(612) + 2 - sqrt(17)) + sqrt(17) + sqrt(17))) + -1.\nAnswer: -7*sqrt(17) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7342231?\nAnswer: 13, 191, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -735289414*a**6 + 4*a**2 - 13*a - 410068?\nAnswer: -88234729680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 57*g**3 - 19*g + 4*g - 13*g + 33*g as q*g**3 + f*g + j*g**2 + z and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -j - 160, -4*t = -2*t + 4*j - 130. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from {i: 5, z: 7}?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/535 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2024 divided by 120?\nAnswer: -253\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34900 - 34895. What is the third smallest value in 2, -1\/3, s, 63?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*y - 10, 0 = 4*y - y - 15. Solve 25*v**n + 15*v - 3*v**3 + 21*v**2 + 28*v**2 - 78*v**2 + 16*v**2 = 0 for v.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (6 + 0) - -5. Sort -314, t, -4 in ascending order.\nAnswer: -314, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519152902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(-2 + sqrt(12)\/sqrt(4) + 1 + (sqrt(243) + 1 + 5)**2)*-2.\nAnswer: 3270*sqrt(3) + 8340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 113551 divided by 4\nAnswer: 113551\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33614 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - ((-20)\/55 - 684\/660). Suppose 0 = 2*m - 4*h + 8, h + 2*h - 6 = 0. Factor -o*r**3 + m + 0*r**2 + 8\/5*r.\nAnswer: -2*r*(r - 2)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -3*c**4 - 4*c**3\/3 - 5. What is l in h(l) = 0?\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*y**5 - 5*y**4 + 8*y**5 - 24*y**5.\nAnswer: 5*y**4*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 457914.7 litres in millilitres?\nAnswer: 457914700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -314856478577?\nAnswer: 314856478575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**2*m**3 + 2*d**2*m**2 - 112*d**2*m - 4011*m**5 + 2*m**2 - 4 wrt m?\nAnswer: -36*d**2 - 240660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238787028 to the power of 1\/3, to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107001, 214872, 322743?\nAnswer: 430614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k - 15, -794 = -3*n + k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 830.6 - 1030. Round s to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79090 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 + 286 - 260 - (1 - -22)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 232, -107, -3, -5, 4, -1 in decreasing order.\nAnswer: 232, 4, 1, -1, -3, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3126509, 6253013, 9379521, 12506039, 15632573, 18759129, 21885713?\nAnswer: 25012331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1639 is divided by 96?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*d = -156*d - 1. Find the second derivative of 1 - a + 0*a - 47*a**2 + d + 0 - 3 wrt a.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*c**3*k*y**3 + 3*c**3*k*y**2 - 12*c**2*k*y**3 + 2*c**2*k*y**2 - 7*c**2*k*y wrt c.\nAnswer: -816*k*y**3 + 18*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-132)\/(-8)*6*4\/6. Suppose f + 156 = x. What is the greatest common factor of x and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1 + (1 + 1 + 0)*(-1 + 3 - 1) - 2 - 1 + 1)*(1031812 + 877*q - 1031812).\nAnswer: -1754*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - -113302011?\nAnswer: 113301300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.08 + 1.08. Put n, 1\/7, 0.2 in descending order.\nAnswer: 0.2, 1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2 - 4994*q - 6235009 = 0.\nAnswer: -2497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15259 + 5086 + 5088 - 2*o**2 + 5096.\nAnswer: -2*o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10167656.\nAnswer: 2, 23, 55259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(125))\/sqrt(8))**2*-2 - (-5 + -4*(sqrt(405)*-2 - sqrt(405)))**2.\nAnswer: -291727\/5 + 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -49, -75?\n\"Answer: -26*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 31*d + 33*d = -10, -5*d = -4*i + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3752 (base 10) to base 15\nAnswer: -11a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2634\/(-114) - 1\/19*-2. Let v(b) = b**3 + 23*b**2 - b - 24. Give v(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -12 - -16 - (-32 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2625.36 - -2625. Which is the closest to 0.3? (a) 0.6 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + 2 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*f**3 + 99*f**3 + 22 - 22.\nAnswer: 200*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1499, 1313, 929, 287, -673, -2011, -3787?\n\"Answer: -10*d**3 - 39*d**2 + d + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916381?\nAnswer: 173, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51.77 and 29333.\nAnswer: 29281.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 + 34. Let k(r) = r**3 + 18*r**2 + 19*r - 22. List the prime factors of k(v).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - s**2 - 2 + 8 - 5 - 11*s**4 + 2*s**2 to r*s**3 + v*s**2 + w + x*s**4 + h*s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, -1, 42 in increasing order.\nAnswer: -1, 5, 19, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729.1406m to kilometers.\nAnswer: 0.7291406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 18136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2995*o = 1503*o + 1556*o - 1088 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 18. Let j = 21 + n. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 f when four letters picked without replacement from vffflfllvllfffflvp.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/341 + 33017\/341. Let p = -97 + q. Suppose 0 = k + k. What is the nearest to k in p, -0.3, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0503 - -0.072?\nAnswer: -2.9783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 12977 in decreasing order.\nAnswer: 12977, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (-3*sqrt(468))**2)*1 + (sqrt(468) + 4 + 0 + sqrt(468))**2.\nAnswer: -2324 + 102*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*y**2\/9 + 37726*y\/9 - 409904\/3 = 0. Calculate y.\nAnswer: 33, 18632\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 24*c**2 - 16*c + 18. Let h(s) = -6*s**3 + 124*s**2 - 81*s + 92. Let y(q) = -2*h(q) + 11*i(q). Determine y(-17).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 35*d + 3 = 0. Put -4, 3, -3, d in ascending order.\nAnswer: -4, -3, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = -43*k - 152 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 2*d - 27*d - 10*d + 2*d to the form n + j*d**2 + y*d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -4*u + 157. Let w = -11 + 10.94. Let g = -0.04 + w. Which is the biggest value? (a) 2\/9 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 210*m**2 - 400*m.\nAnswer: -5*m*(m - 40)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(2*sqrt(6)) + 0 + sqrt(85)\/sqrt(5) + sqrt(17))*-6.\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 6*l**2 - 3*l - 291. What are the prime factors of a(21)?\nAnswer: 2, 3, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548 = -5*h + 4*f - 306, h - 2*f = -172. Let s = h - -267. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 21*i**2 + 37*i + 19. Let h be d(19). Let j(a) = -a + 11. Suppose -12 = -y - 0*y - n, -66 = -4*y + 5*n. Let g be j(y). Is g smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4 = 2*d, 13*o - 9*o - 2*d = 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/6 - i**2\/6 + 242*i\/3 + 242\/3 = 0.\nAnswer: -22, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4875900 to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Suppose 5*g - 20 = y, -183 = -5*m + g + 2*g. Solve -w + 14 - m = 5*i, -3*w = i + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -38*z + 447. Calculate r(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 5*s - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15.33477cm?\nAnswer: 153347.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5\/91 (c) -12833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 0.7.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Let y = -6 + r. Let n be (-17)\/(-4) + y\/8. Let v(l) = l**2 - l - 4. What is v(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + -11204?\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - 4) + (9 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 26*r - 64 = 0. Let i(l) = -7*l - 3. Let y(p) = -120*p - 52. Let j(z) = 104*i(z) - 6*y(z). What is j(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 71, -1\/2, 0.3, -3\/7 in decreasing order.\nAnswer: 71, 2, 0.3, -3\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*x**3 - 1041*x**2 - 462*x + 600.\nAnswer: 3*(x - 50)*(x + 1)*(7*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80833 is divided by 296.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 + 3.5. Let t = 260.3 - 260.2. What is the closest to t in 4, p, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452662609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 6\/12409913 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-119)\/1365 - (-3)\/(-18)*-2. Let l = v - 6\/65. Factor 12\/13*t**3 - l*t**4 - 6\/13 - 24\/13*t**2 + 20\/13*t.\nAnswer: -2*(t - 3)*(t - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 32098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 174.23941 <= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2 + 2*r. Let n be f(0). What is the remainder when 69 is divided by (8 - n) + 0 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-49 + 17 + -6)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1375*x + 1. Let f(s) = 4*s. Calculate c(f(o)).\nAnswer: -5500*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56686951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4 - 8. Solve 4*b + a = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53761, 107521, 161281, 215041?\n\"Answer: 53760*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21126 = 2*w + 2*h, 0 = h + 467 - 470. List the prime factors of w.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 308*a + 16854 - 568790. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69835299231.8 + -0.5.\nAnswer: -69835299232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, t: 1, z: 1, u: 2, h: 2, a: 1}. Give prob of sequence ztkt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95490 - 48533. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2576 and 5417972.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(4*(-3)\/90). Suppose 0*k + f = k. Suppose -k = -9*z + 3. Solve -z*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/5 + 867*x**2\/5 + 864*x\/5 = 0. Calculate x.\nAnswer: -288, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12126165?\nAnswer: 3, 5, 433, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45 + 3 + -1 + -1. Let k = v + 122. Calculate the remainder when (-6)\/4*k\/(-9) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 453\/8. Calculate the common denominator of 1\/3*(-134)\/4 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2496276 and 27036?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30087 and -60.\nAnswer: 1805220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**4\/24 + f**3\/6 + 2*f**2. Let c be p(5). Is (9\/c)\/(3\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78300*l + 78295*l + 799*l**2 - 156595*l.\nAnswer: 799*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.9. Let c = 2.1 + f. Let t = -2.75 + c. What is t rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4402846*p**6 + 39*p**4 - 3814*p**2 - 19236 wrt p.\nAnswer: -528341520*p**3 + 936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8460054?\nAnswer: 2, 3, 19, 29, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 + 48 - 2*t + t + 3*t - 2*t + (2 - t - 2)*(-1 + 0 - 1) + 8963 - 152*t - 8963.\nAnswer: -150*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 28*s + 15*s = -2*h + 19, 114 = 17*h + 6*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, g: 3, p: 1, r: 1, x: 2}. Give prob of sequence ssrs.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327832145 to the power of 1\/2, to the nearest integer?\nAnswer: 18106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40523\/8 - -5077. Let q = -49309\/14 + 3524. Calculate the common denominator of j and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2708398 and 1860782?\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15878 (base 9) in base 2?\nAnswer: -10101010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 44 + 10. Suppose 0 = 3*v - y - 15. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -849455620 divided by -16335685\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) - -4*2*sqrt(156))\/(sqrt(972)*-1))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55373, 110778, 166183, 221588, 276993?\n\"Answer: 55405*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1770, -3 in descending order.\nAnswer: 1770, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 26*f - 22*f + 31 = 0, -2*f - 14 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4. Let r be g(0). Suppose r*u - 4 = 0, 2*z - 147 = -2*z - 3*u. Suppose 3*n - 7*n = -z. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, w: 5, d: 2, m: 5, b: 6}. What is prob of sequence dz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.08846 nanograms in tonnes?\nAnswer: 0.00000000000008808846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 118300632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3\/6 + 285*v**2\/2 - 3388*v\/3 = 0.\nAnswer: 0, 8, 847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 8*f - 46 = -2*b, 0 = 5*f - 2*b - 50. Let r = 0 + 3. Suppose -r*g + 0*g + 42 = 0. What is the smallest common multiple of f and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19336)\/29004*6*25?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 0 + 1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000029634143 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2. Let p(v) be the first derivative of 0*v + 11\/3*v**3 + 0*v**2 - 20. What is p(w(b))?\nAnswer: 176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/10 + (-259)\/(-35). Solve -5*p - 1 = 2*g, 0 = -3*g + 2*p - 0*p + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4719818766 to the power of 1\/2, to the nearest integer?\nAnswer: 68701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49553 divided by 11.\nAnswer: 49553\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/(6\/72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -673*y + 400*y - 990*y - 347*y.\nAnswer: -1610*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87.7 - 88. Let w = -913 - -913. What is the nearest to w in -1\/3, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725*x + x**2 - 9*x**2 - 725*x.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57814 + 751954\/13. Let n = -737\/78 + t. Let x = -416929\/18 - -23169. What is the common denominator of n and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -10 + (-12 - -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53086 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 10*w**3 - 1. Let n be f(1). Suppose 0 = s + 2*s - n. What is the second derivative of -3*p**s - 111 + 9*p + 111 wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.46 + 0.04. Let t = -3 + 0. Let m = t + d. Which is the nearest to -1\/4? (a) m (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -540386 divided by -3509\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -24258, 0, -2\/57, 2\/9 in decreasing order.\nAnswer: 2\/9, 0, -2\/57, -24258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*52\/(-13). Let k be (-1)\/(-2)*(w - -2). Suppose -5*r - 20 = 0, 0 = 2*h - 2*r - 5 + 1. Put 4, k, h in decreasing order.\nAnswer: 4, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/12885 and -56\/889065.\nAnswer: 889065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 + 8*q**2 + 2*q. Let k be (-1*(13 - 7))\/2. Let x(d) = 2*d**3 + 7*d**2 + 3*d. Let a(n) = k*b(n) + 2*x(n). Factor a(z).\nAnswer: -5*z**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 70435 = 305263. Let c = x + 1043559\/40. Calculate the common denominator of -93\/2 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + 2*k**2 + k - 3*k**2 + 2*k.\nAnswer: -(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 171 + -189. Calculate the common denominator of -77\/12 and -1 - 1 - ((-1920)\/k)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i + 28 - 28)*(0*i**2 + 4*i**2 - 2*i**2).\nAnswer: -18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 5*a**2 - 5*a. Let o = -4 - 0. Let h be q(o). Suppose 0 = -h*s + i + 46, 0 = -4*i - 1 + 9. Calculate the highest common factor of s and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -j + 16, -19 = -v - j - 3*j. Suppose -3*k + r + 23 = k, -v*r = k + 4. What is the highest common factor of 2 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8030.\nAnswer: 2, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4067.8 - 4199.8. Sort -0.5, y, 61 in increasing order.\nAnswer: y, -0.5, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0755487 centuries in millennia?\nAnswer: 0.00755487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5 (c) -18 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 2862 = v - 2566 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2152776 and 760?\nAnswer: 10763880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 + 0.06. Let d = 10 - 13. Let n = d - -3.1. Which is the nearest to n? (a) q (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4510 + 4822 - 11062)*(2 + 0 - 1)*(-2*k + 5*k - k).\nAnswer: -3460*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100110 + -101101001110001110000?\nAnswer: -101101001110100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*i = -2, 2*i - 3 = 3*i. Suppose 5*d - m = -3*l + 4*d, -4*d = -8. Sort -4, l, -23 in decreasing order.\nAnswer: l, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-60)\/360)\/(1\/(-355242)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147535798*x**2 - 23665389*x - 3 wrt x.\nAnswer: 295071596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29696\/(-9280)*(105\/(-54))\/(-7).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v - 2. Let r(i) = 16*i + 11. Let f(t) = -22*o(t) - 4*r(t). Let g(a) = -14724 + 14724 + 87*a**2. Give f(g(z)).\nAnswer: 174*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*f - 22 = 0, 4*j = -2*f + 3*f - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-6*(4 + (sqrt(5) - (sqrt(60)*2)\/sqrt(12)) - (sqrt(55)\/(sqrt(11)*2) + sqrt(15)\/sqrt(3) + 4)))**2 + -4).\nAnswer: -3363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2. Let o(x) = x**2 - 1. Let l(c) = 2. Suppose y = 2*y + 8. Let a be 32\/y - (-6 + 0). Let v(g) = a*o(g) + l(g). Determine v(s(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.7. Let d = x + -0.5. Let w = d + 4.3. Which is the closest to -0.1? (a) 1\/6 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 9 = -4*l, 4*l = -y - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 2, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(13) + 3 + 3 + 5 + (sqrt(78) - (3*sqrt(78) + sqrt(78)))\/sqrt(6)*-6)**2.\nAnswer: 286*sqrt(13) + 2318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15682 (base 9) in base 4?\nAnswer: -2220032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w + 2. Let a be (18\/270)\/((-21)\/315). Let u(n) = -5*n - 6. Let o(l) = 9*l + 11. Let m(r) = -6*o(r) - 11*u(r). Give a*f(j) - m(j).\nAnswer: 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699922?\nAnswer: 2, 19, 113, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*n - 491724 + 6419044. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4418*y**3\/7 + 840078*y**2\/7 - 13591104*y + 2186819800\/7.\nAnswer: 2*(y + 275)*(47*y - 1994)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -7*v**4\/6 + v**3\/6 - 3*v**2. Let x be m(-3). Suppose -5*g + x + 25 = 0. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y. Let f(p) = 3*p**2 - 5*p + 176. What is f(u(h))?\nAnswer: 192*h**2 - 40*h + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (25\/15)\/(3\/9). Let k(x) be the first derivative of 2*x**2 - 2*x + y*x - 9 - x + 0*x. Calculate k(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666.23234 rounded to 0 decimal places?\nAnswer: -666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9145*j*m**2 - 1818*j*m + 4*j - 3993*m**2 - 220*m + 4 wrt m?\nAnswer: 18290*j - 7986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -2*x**6\/135 - 29*x**5\/180 - 17*x**4\/36 - 31*x**3\/54 - 5*x**2\/18 + 110*x. Solve y(h) = 0 for h.\nAnswer: -5, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 26. Let r = 2211 - 1420. Let x = 793 - r. Solve 10 = 3*g + x*g, -2*i = g - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*c - c. Let g be 19\/(-11) - (-8)\/4. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-1\/2)*b)\/b)**31)**(-13\/4) assuming b is positive.\nAnswer: b**(-2015\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12)*-2)\/((-11510)\/(-2325020))\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-108)\/30 - -4)\/(26\/(-260)). Let u = -3.2 - -3. Let y = -0.8 + u. Which is the second biggest value? (a) f (b) 2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -17. Let c = f + -4. Suppose 5*t = -4*s + 35, c*t - 2*t = -3*s + 9. Solve 4*p + 2*l = -6, 3*p - 5*p = t*l + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(35)\/(sqrt(5) + sqrt(320)) - ((sqrt(336)\/sqrt(8))\/sqrt(6) + 4)) + -3 + 0)**2.\nAnswer: 64*sqrt(7)\/3 + 12112\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose -5*j + 45 = 4*y, 4*y - 5*j + k = -1. Suppose -69 = -2*m + y. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 198 - 582 = -28*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(9\/(-6)))\/(-4 + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 1, q: 2, x: 1, d: 1, h: 2}. Give prob of picking 1 d and 2 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 9*u + 13. Let a = -62 + 67. Give q(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-5)\/(-550)). Suppose -2*x + k = 5*r + 3*x, -3*x = 4*r - 39. Suppose r*g + 5 = g. Is -1 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.48 + -16.78. Let h = 30.6 + -31. Which is the smallest value? (a) l (b) 1 (c) -0.7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*a**3 + 30*a**2 + a - 2.\nAnswer: (a + 1)*(3*a + 1)*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**5\/7 - 16*n**4\/7 - 192*n**3\/7 - 440*n**2\/7 - 388*n\/7 - 120\/7 = 0. What is n?\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*r**6 - 67*r**2 + r wrt r.\nAnswer: -8280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36643.1 + 2233285?\nAnswer: 2269928.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.98 + 0.02. Let n = f + 17. Let t = n - 20. Which is the second biggest value? (a) 5 (b) -6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 8*c - 23*c + 14*c + 9*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8 = -5*o, -5*o + 16 = 3*h - 0*h. Let z(d) = 7*d - 5. Let c(n) = -18*n + 12. Determine h*z(g) + 5*c(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117.97 + -120. Let z = 0.03 + k. Let w = z - -2.1. What is the nearest to w in 1\/2, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5315 + 5317. Which is the nearest to 2\/9? (a) w (b) 13 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -23*l**2. Let z(y) = -4073770*y**2. Determine z(g(n)).\nAnswer: -2155024330*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, n: 2}. Give prob of sequence ddn.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -309.27785 to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 - 504 = -8*j. Let b be (-466)\/(-22) + (-10)\/55. Suppose -2 - b*z + 11 - 3*z**3 + 3*z**2 + j*z**2 = 0. Calculate z.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2140*b = 423*b + 94435 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 16*j**2 + 35*j - 14. Give a(18).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/7 + 17*i**2\/7 - 16*i\/7.\nAnswer: -i*(i - 16)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, d: 14}. Give prob of picking 1 d and 1 k.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25983 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.4, 0.6, 0.06, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.07636 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 27 + 9. Let u = -5 - p. Solve 4 + u = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235023001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 667 + 1438. Is 50 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 19*s + 17*s - 18*s + 44 + s**2 + 0*s. What is the tens digit of h(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 - 101*j - 183. What is w(-36)?\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 26\/911, 5, -0.1, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = -s, 6*j + 4*s = j + 2. Let a(d) be the second derivative of -d**3\/6 + d**2\/2 + 35*d + 2. Determine a(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9594*o**3 - o**2 - 2899*o + 1.\nAnswer: 57564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224344 + -20?\nAnswer: 224324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1204100 to the nearest 10000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2*p)**26*(p\/p**1*p)**(1\/7))\/(((p**(2\/5)\/p)\/p*p*p\/p**8*p)\/(((p**1*p)\/p)\/(p*p**(2\/7)*p*p))) assuming p is positive.\nAnswer: p**(2886\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 118, -454, -1, 2 in increasing order.\nAnswer: -454, -1, 1, 2, 3, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139 * -319.\nAnswer: 44341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (236\/3)\/(25\/300) is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4\/4 + 5*g**3\/3 + g**2\/2 + 48*g - 92. What is the lowest common multiple of k(-6) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2. Let d(f) = 5. Let x(w) = d(w) + 2*v(w). Let g(p) = p. Give g(c) - x(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*l + 28*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, -50 in decreasing order.\nAnswer: -5, -17, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 420029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*-48.1\nAnswer: 96.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3862 + -3724. Calculate the remainder when 2204 is divided by p.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 12.9287?\nAnswer: 10.9287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0541270713372 - -22?\nAnswer: 22.0541270713372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -518 + 2*w**2 - 4*w**3 + 167 - w**3 + 4*w**3 as o*w + a + d*w**2 + g*w**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 11. Determine u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 12. Suppose 15 = -3*w, 2*h + 2*h + 2465 = k*w. Round h to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1030093*g**2*w**3 - 270*g**2*w**2 - g**2*w + g*w**2 - 10*w**2 wrt w?\nAnswer: -6180558*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 34. Suppose -4 = 3*v + c*o, -4*v - v + 4*o = -4. Solve 0 = -v*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -5, 36, 105, 208, 351?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2))**(1\/25)\/(h**(-2\/7)*h\/(h**3\/h*h)) assuming h is positive.\nAnswer: h**(393\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19549720160 rounded to the nearest 1000000?\nAnswer: -19550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275396, 275398, 275400?\nAnswer: 275402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqeeeqfe. What is prob of sequence feqf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -107564 rounded to the nearest 100?\nAnswer: -107600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0705 and -75.7.\nAnswer: -5.33685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 26*o**3 - 8*o**2 + 11*o - 17. Let h(k) = -9*k**3 + 3*k**2 - 4*k + 6. Give -17*h(x) - 6*i(x).\nAnswer: -3*x**3 - 3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 7*n**2 + 1. Determine i(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*m - 1358 = u, 0 = 5*m - 10. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 4*a**2 + 8 + 5 + 0 - 18.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -1.2\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 305309953 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383820 a multiple of 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 8*x - 72. Are x and 11 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1903 - 64*d**2 - 1903.\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -79. Calculate the common denominator of o and 14\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4*s - 2*h**3*s - 30523*h**3 + 2*h**2*s - 2621*h**2 - h*s - 6*h + 4 wrt h.\nAnswer: -48*h*s - 12*s - 183138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 42 = 35. Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a century in years?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006266 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -2\/7, -2, 2 in increasing order.\nAnswer: -198, -2, -2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50510 (base 6) in base 15?\nAnswer: 1e96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/12 + n**3\/3 - 7*n**2\/2 - 2120*n - 2. Let c(l) = -l**2 - l + 1. What is 4*c(h) + f(h)?\nAnswer: -5*h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -20 - (-9 - (6 + (-8 - 54)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4132 + 319.9?\nAnswer: -3812.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 54, -0.5.\nAnswer: -11, -3, -0.5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 6.368.\nAnswer: -12.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 7*v**2 - v - 6. Let p be w(-6). Suppose -37*n = -13*n + 54*n - 1560. Calculate the highest common divisor of p and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 - w**3 - w - w**3 as m*w + i + p*w**2 + b*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 - 1. Let p be i(-1). Suppose 0 = 3*o - o + 2*u - 14, -p*u - 53 = -5*o. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(((l\/l**(1\/44))\/l)\/l)\/l*l**15*((l\/(l\/(l*l**(-6)*l*l*l)))\/l)\/((l**(-2\/77)\/l)\/l) assuming l is positive.\nAnswer: l**(4005\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (41 - (-34 - 29) - (0 - (7 + 0)))\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 - 875 = -2*a. Calculate the common denominator of a\/192 - 2\/3 and 49\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.47. Let p = s - -0.23. Which is the closest to 0.2? (a) 2\/5 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2. Let q(c) = 8*c**2 - 2*c - 5. Let k = 2436 + -2430. Determine k*j(f) + q(f).\nAnswer: 2*f**2 - 2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300 - 163 = -60*c - 163 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 344 = 3*k, 3*v + 3*k = 5*v + 134. Is 26 a factor of (-1749)\/(-5) + (-14)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 485001 and 92016?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 14*c**2 + c - 6. Give i(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -71 + 26 - 126*n + 139*n + 24. Let t(u) = -u**2. What is t(a(m))?\nAnswer: -169*m**2 + 546*m - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (5 - 38) - -6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 107 + 43 - 69 - 4*m. Give q(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/8 - -15\/8. Let k(o) be the second derivative of 0 + o - 1\/12*o**4 + 0*o**3 + z*o**2. Suppose k(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*41\/((-80688)\/41).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + c = -3 - 5, x - 10 = 4*c. Let j(a) = 22*a - 232. Calculate the least common multiple of x and j(13).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 156310 + -3?\nAnswer: 156308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l - 114. Let g be u(-12). Solve 0 = -3*o + 5*o - g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1315*q = 117 - 1432 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4203, 0.5, 4\/3, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, g: 3, t: 3, n: 4}. What is prob of sequence ug?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*f + 33, -5*d = -5*f - 55 - 0. What is the highest common divisor of 22 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-26 - (11 + -31)) - 33\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -383\/4 - -385\/4. What is the nearest to l in 3, 4, 3\/4, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 320 - 4162\/13. Let c be 10\/154 + (-63)\/147. Is y less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135729 + -22802345\/168. Calculate the common denominator of a and 19\/30.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 344041 + 131?\nAnswer: 344172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.33479 and -622.\nAnswer: -616.66521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 16*p**3 - 24*p - 24\/5*p**5 + 13 + 3\/2*p**4 - 3\/2*p**2 - 1\/2*p**6. Solve i(x) = 0 for x.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*z - 8*z, u - 26 = 4*z. Suppose 6*c = 2*q + u*c - 36, 4*c = -3*q + 56. What is the greatest common factor of q and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 736140 and -27.08.\nAnswer: 736112.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -0.563?\nAnswer: 70.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*s**4 - 7*s - 295 wrt s?\nAnswer: -56*s**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 3. Let q be ((-12)\/9)\/(v\/12). Suppose m - q = -3*m. Solve 0 = m*i - 0*i + 5*y - 8, 0 = -2*i + 3*y - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2\/2 + 2. Let i(y) = 6*y. What is c(i(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 1. Let l = 2 - -2. Let b(y) be the second derivative of y**3\/3 - y**2\/2 + y. Calculate l*b(z) + 3*d(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-9)*(-37)\/(-74).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 42.3, -4, 8, -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/11, -25\/2, -2\/13 in descending order.\nAnswer: 2\/11, -0.1, -2\/13, -25\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9760, -39099, -88002, -156475, -244524, -352155, -479374?\n\"Answer: -m**3 - 9776*m**2 - 4*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 9*f + 1. Let s(z) be the third derivative of -z**5\/30 + z**4\/3 + 2*z**2. Let p(b) = -3*q(b) + 4*s(b). Give p(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -15, -0.7, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 0*p**5 + 4*p**5 + (p - 2*p - p**3 + 0*p**3)*(-3*p**2 - 4*p + 4*p).\nAnswer: 6*p**5 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 70*m - 8040. Calculate the least common multiple of m and 165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 k when three letters picked without replacement from uuuukuuouullyyuoly?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 68911258607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 2252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 24*b + 56. Let s(r) = 3*r**2 + 11*r - 97. Let m(f) = 2*f**2 - f + 1. Let n(c) = b*m(c) + s(c). Differentiate n(w) wrt w.\nAnswer: -6*w + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 494860 divided by -218\nAnswer: -2270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58005 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, 789, 2408, 4681, 7608, 11189, 15424?\nAnswer: 20313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-6) + (-136)\/2. Let w = 79 + z. Calculate the remainder when 13 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29848273?\nAnswer: 7, 13, 23, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:45 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -201100101 (base 4) to base 11\nAnswer: -93377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*855\/(-171)*48\/(-370).\nAnswer: 8\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 10*h**2. Let i(l) = 4*l**3 - 19*l**2. Calculate -6*i(r) - 11*p(r).\nAnswer: -2*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*q - 9 = 5, -5*t + 2*q = -26. Let y(a) be the second derivative of 0 - 1\/12*a**4 + 7\/6*a**3 - 4*a**2 - 29*a. Calculate y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = 679376*b - 679374*b + 4*h, 4*b = -4*h - 160 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from {i: 1, d: 2, x: 1, p: 8, e: 3, s: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56840, -56836, -56830, -56822, -56812, -56800, -56786?\nAnswer: -56770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 - -71) + (-18 - -1) - (1 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + r - 4 = 4, 8 = 93103*q - 93104*q + 3*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -44*j + 12. Is y(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y - 8*y - 7*y)*(-6 + 3 - 7*y + 5).\nAnswer: -35*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(11) - (sqrt(1100) + -1 + sqrt(1100)))*-1)**2.\nAnswer: -38*sqrt(11) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -13)*(-4)\/6. Let y = -3 + m. Suppose -5*r - 5*h + 36 = -4*r, 0 = -2*r - y*h + 57. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511 by -984.\nAnswer: -511\/984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166841576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aye when three letters picked without replacement from rayraaereraeaara.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2, 52, 2\/43, -8, 22?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = 0, 3 = -18*m + 17*m - 4*f. Solve 0 = c - 0*c - r + m, 0 = -3*c - r - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-201 + 15)\/(-31) - 2\/(-1*2). Suppose -o - 4 = -r, 3*r - 2*o + 2 = 12. Let z = -16 - -21. Solve -x - 19 = r*a - h*a, -5*a - z*x + 25 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 61*x**3 - 7380*x**2 - 121*x + 415. Give k(121).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*k + f, -4*k = 4*f + f. Let z(q) = 3*q + 27. Let x be z(-13). Put 3\/2, x, k in increasing order.\nAnswer: x, k, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -3. Let c(d) = d + 17. Let f(h) = 3*h + 42. Let j(v) = b*c(v) + 5*f(v). What is j(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {v: 1, y: 1, w: 4, u: 2, d: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*x + 1232 = -3*v, -2*v - 536 + 528 = -2*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15524 + 248293\/16. What is the common denominator of -51\/14 and u?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/6 (c) -0.03 (d) 2\/147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113 divided by -5.\nAnswer: 113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 1. Suppose 6*t - 2*f - 6 = t, -3*t + 4*f - 2 = 0. What is a(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/16252 and -107\/42872776?\nAnswer: 42872776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 9. Sort y, 4, -19 in decreasing order.\nAnswer: y, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 20*c**2 + 3*c + 17. Let s be t(10). Let k = 88 + s. What is the greatest common factor of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35043, -35041, -35039, -35037?\nAnswer: -35035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - 5) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72807?\nAnswer: 3, 7, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a. Let n(w) = -2*w**2. Let f(b) = -3*b**2. Let q(u) = 2*f(u) - 2*n(u). Calculate c(q(v)).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19346*i*s**4 + 2*i*s**3 - 5869*i - 68*s**3 - 953*s**2 wrt s?\nAnswer: 464304*i*s + 12*i - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1890\/(-15))\/21)\/(12\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (0 - (-18)\/4). Suppose -5*t - 2*i + 16 = 2, 5*i + 3 = -3*t. Let c be (68\/12 - t)*3. Sort q, c, -2\/13.\nAnswer: -2\/13, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, 57, 147, 277, 447, 657?\n\"Answer: 20*o**2 - 10*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -6. Suppose -2*n - 82 = -4*a, -n + 85 = 4*a - 0*n. Calculate the remainder when a is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -13*x**3\/6 - 6*x**2 + 6*x. Let k be b(-9). Suppose 0*g + 3*g - k = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(3)) - (sqrt(12) + sqrt(12) + (sqrt(12) - sqrt(192)) + sqrt(12))\/sqrt(4)) + (sqrt(48)*-5 + sqrt(144)\/sqrt(12))**2.\nAnswer: 3*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from trttrtt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 q, and 1 u when three letters picked without replacement from {h: 3, o: 2, g: 3, u: 3, q: 1, m: 1}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*o + 58, 2*o = 3*p - o - 81. Let j = p + -23. Let x be 4\/12*j*(-3)\/12. Solve -2*g = c - 3, x*g + 3*g + 18 = 3*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/4 and (-2)\/(-3 - -5) + 101\/148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 86912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47530\/17 + -2796. Which is the fourth biggest value? (a) 0.09 (b) -1\/3 (c) r (d) 4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = 5*x, 4 = -2*x + 8*v - 7*v. Let u = -5 - -8. Let o = -1 + u. Sort -0.3, x, o in increasing order.\nAnswer: x, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 26*b - 30*b - 3*f, 4*f - 6 = 2*b. Which is smaller: -2\/1447 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*l*r**2*y - 2*l*r*y**2 - 2*l*y**3 + 28*r**2*y**2 + r**2*y + r*y**3 - 9*y wrt l.\nAnswer: -55*r**2*y - 2*r*y**2 - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (-7)\/(889280\/368826). Let a = g + -6\/1985. Calculate the common denominator of -67\/12 and a.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166568369?\nAnswer: 11, 23, 43, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 17025. Let p(f) = -5*f. Calculate x(p(b)).\nAnswer: 50*b**2 - 17025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2\/21 (c) 1 (d) -1945\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*f - 30, 2*f = -3*k - 8 + 1. Solve -4*l - 20 = 0, -f*q = -3*l - 17 - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 - (-10 + 5). Suppose 4 = u*x - 91. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) 52.7 (c) -5 (d) 8\/269\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - bae?\nAnswer: -ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) + sqrt(140)*-1 + sqrt(140))) + sqrt(105)\/sqrt(3)*-1)\/(((2*sqrt(112))\/sqrt(4))\/sqrt(4)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2911 and 57023210?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95\/78 - 18\/13. Let r = 3.58 + -3.38. What is the nearest to -2\/5 in r, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + 3*o**3 + 85*o**2\/4 - 84*o.\nAnswer: -o*(o - 16)*(o - 3)*(o + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3683.\nAnswer: 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 31. Let s be u(7). Let q(b) = -2*b + 0*b**2 - 3 - 2*b**2 + b + 3*b**2. Calculate q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 10991.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p*p\/(p\/p**(-4)))*((p\/(p\/p**5)*p)\/p*p)\/p*p*p)\/(p**(11\/5)*p\/(p\/((p*p**(-1\/13)\/p)\/p))) assuming p is positive.\nAnswer: p**(512\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-5 + (sqrt(25)\/sqrt(5))**2))*1.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) -22 (c) -1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 29 - 20 = 0. Let h(f) = 68 + f**s - 129 - f + 15*f**2 + 52. Let k be h(-15). What is the highest common factor of k and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40949 + -24009. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0*c**3 + 0*c**4 - 1\/60*c**5 + c**2 + 0*c + 0. Let y(j) = 3 + 4 - 7 - 2*j. What is d(y(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-65)*(1 + 4). Suppose 53 = -h*c + 273. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 48. Solve 4*i - 4*k = -p, -4*k - 1 = -i + 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-15))\/(3\/(-10)). Let h be 3 - ((-19365)\/21)\/5. Let q = -188 + h. Sort q, 5, n in descending order.\nAnswer: 5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*s - 1 - 8 + 9 to w + o*s and give o.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 45*o - 42*o - 2.\nAnswer: -87*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80930 = -1773*h + 37323 + 130934 - 66568 for h.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3942914 is divided by 201.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491215 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.764 from 1.553.\nAnswer: 2.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/6 + s**2\/2 + 51*s + 256. Let g(u) be the first derivative of x(u). Let t(k) = 2*k. Calculate 3*g(l) + t(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 629401728 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3357500 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -1.96 (c) -0.145 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17*p + 6. Let c(w) = -3*w - 9. Let s be c(-5). Let i(n) = -18*n - 7. Let z be (266\/(-350))\/19*-175. Determine s*i(r) + z*j(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/17? (a) 5 (b) -1 (c) -0.1 (d) 12 (e) 1.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46203, -92465, -138725, -184983, -231239, -277493?\n\"Answer: d**2 - 46265*d + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.003 - 37. Let m = -1.003 + o. Which is the closest to -0.1? (a) m (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 21704770?\nAnswer: 108523850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8271.062+-0.001\nAnswer: 8271.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a\/((a**(1\/3)\/a)\/a)))**(28\/3)*a**0\/(a\/(a\/(a*a**(-3))))*a**(-1\/2)*a**3*(a**(-4\/5)\/a)\/a*a*a\/a**(-2)*a*a*a assuming a is positive.\nAnswer: a**(-617\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -44*h - 290 - 451 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -18 (c) -8.9 (d) 0.04 (e) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {j: 7, s: 9}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 5, 110277, -6.\nAnswer: -157, -6, 5, 110277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 20*n**2 + 2. Let s be h(-10). Let w(t) be the first derivative of -t**2 + 1\/3*t**3 + 2 - 1\/4*t**4 - t. What is w(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312560 a multiple of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155618478*x**5 - 8*x**2 + 72*x + 42533?\nAnswer: 9337108680*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -0.3, -3338280, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -539, -1740, -3629, -6206?\nAnswer: -9471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -15. Let g = -7 - -12. Which is smaller: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1162\/(-83) - 44\/(-3). Let d = 12 - -11. Put d, 2\/9, 2\/15, m in decreasing order.\nAnswer: d, m, 2\/9, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(36 + 11310\/(-319))\/(60\/(-33)).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 2.969?\nAnswer: 0.8907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -123012 + -586685?\nAnswer: -709697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 11) to base 3.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3)*(445 - 445 + 62*u**3)*(-1 - 3 + 2) as v + l*u**3 + w*u + r*u**2 and give l.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 213247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -3*x + 1653. Suppose y - 19998 = 2*k, 4*k + 5*y = -40529 + x. What is k rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/60 - y**4\/3 - 5*y**3\/6 - 7*y**2. What is the units digit of o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 38*v**2 + 25*v + 315. What is the units digit of s(32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4 = -2*b, -25*t + 67 = -29*t - 0*b + 17*b + 60 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 43*u**5\/60 + 3*u**4\/2 - 5983*u**3\/6 + 2*u**2 - 2045. Find the first derivative of y(i) wrt i.\nAnswer: 86*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 8*b - 8. Let a(q) = -7*q + 1. Let o(l) = -l. Let g(u) = a(u) - 6*o(u). Give 8*g(s) + r(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 24*v. Let d be 14\/(-6) + 6\/(-9). Let u be m(d). Let i(b) = -38*b**2 + 411*b + 4. Let l be i(11). Is l < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -39, -91, -179, -315, -511?\n\"Answer: -2*p**3 - 14*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 + 11*y - 21. Is u(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 3\/68*n**4 - 2*n**2 + 0*n**3 - 1\/85*n**5 + 0*n + 9 + 1\/1020*n**6. Factor d(p).\nAnswer: 2*p*(p - 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -16. Differentiate 0*f**4 - i - 2*f**4 - 11*f**2 + 11*f**2 wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b + 3*v = -36*b + 27, -5*v = -2*b + 53 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a + 13. Let t be x(-8). Let d be (-14)\/t - (476\/(-10) - 2). What is the greatest common factor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-8\/5)*y))**36*(y**(3\/2))**(-39))**(-2\/15) assuming y is positive.\nAnswer: y**(3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 3, w: 4, h: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and 4.48.\nAnswer: -0.9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91.19 * -0.2.\nAnswer: -18.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v**2 + v. Let c be p(0). Sort c, -2, 5.\nAnswer: -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = 32. Let g = y + -7. Suppose 5*v + 0*v**2 - 13*v + g - 4*v + 4*v**2 = 0. Calculate v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let l(a) be the first derivative of 17*a**2\/2 - 1651. Determine l(f) + 5*w(f).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6 - 8 + 98*f**3 - 99*f**3 + 11*f**2 + 4. What is v(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*h + 2*h - h)*(3*h - 2*h - 2*h)*(1 + 1 - 3) to the form v*h**2 + d + m*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5514861 to 2 decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 + 990*v**3 - 74451*v**2 - 1191960*v - 4348848.\nAnswer: -3*(v - 172)**2*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -0*v + 2*v. Let p = v - -115. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1179, -678 in ascending order.\nAnswer: -678, -1, 1179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -12 + (-1 - -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 15. Give m(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11707463 is divided by 101804.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-32453)\/(-70380) + (-8)\/18)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f - 3. Suppose 17 - 3 = -7*i. Let v be u(i). Calculate the greatest common factor of v and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 86*l**2 - 167 + 34*l - 1\/3*l**3. What is the derivative of x(o) wrt o?\nAnswer: -2*o + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + (sqrt(448) - sqrt(448)*-2))**2 + 2 + sqrt(21)\/(sqrt(3) - sqrt(48)).\nAnswer: -sqrt(7)\/3 + 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 539547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 2134*o**2 + 8540*o.\nAnswer: -o*(o - 4)*(o + 8540)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -195\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21564 is divided by 10557?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bjjbbbdbbbdb?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 289 = 40858. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(2100)*4)\/(-1*sqrt(192)*-1 - (sqrt(192) + (sqrt(192) - (sqrt(192) + 3*sqrt(192)*2)))).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -521230126*c + 646524823.\nAnswer: -521230126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**3 - 141*u - 4. Let l(o) = -12*o**3 + 422*o + 13. Determine -4*l(h) - 13*r(h).\nAnswer: -4*h**3 + 145*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10119 is divided by 138?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (23\/(253\/1584))\/(4\/18) is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 + -0.84. Let s = b + -1.2. Let n be (3\/(-6))\/(3\/(-2)). Put n, -5, s in ascending order.\nAnswer: -5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/15)*p)**(1\/58)\/((p**(-17)\/p)\/p**(6\/11)) assuming p is positive.\nAnswer: p**(88894\/4785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/(-15) - ((0 - 2) + 2). Let f be k*4\/(-18)*18\/3. Solve 3*h = -0*h + f*u - 4, 2 = 2*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -35, -54, -71, -86?\n\"Answer: q**2 - 24*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7010*1.\nAnswer: 7010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 78119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + -15. Let u be (-5)\/(-2)*r\/(-3). Let h be u\/(-1)*(-1 - 2). Calculate the highest common factor of 18 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(245) + sqrt(245) + -1 + sqrt(245))**2 + (sqrt(245) + 2 + sqrt(245))*4 + (-4*-5*sqrt(500))**2*-1.\nAnswer: -197751 - 196*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 + 60 - 3083*z - 3*z**4 + 3083*z as y*z + j*z**4 + x + g*z**3 + u*z**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 0*f + 0*f**2 + 0*f**4 + 1\/3*f**3 + 3 - 3\/5*f**5. Find the third derivative of u(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 13*m + 234. Determine c(26).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 + (-10 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*j - 71 = 0, -3*w + 4*j + 120 - 24 = 0. Let q be 0 + 202*(-9)\/(-6) - -5. What is the greatest common divisor of q and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(24)\/sqrt(3)*3)*-1)**2 - -3*(-1 + (sqrt(208))**2*-3).\nAnswer: -16862\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-31626)\/840 - -42)*(7 - -1). Determine d so that -u*d**2 - 6*d**5 - 402\/5*d**3 + 8*d + 24\/5 - 242\/5*d**4 = 0.\nAnswer: -6, -1, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/((-5887)\/(-635796))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - 2*q**2 + 0*q**2 + (-1 + 1 - q)*(5*q - 3*q - 4*q) + 0 - q**2 + 0.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2231 + -381. List the prime factors of l.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1436061 (base 9) to base 2.\nAnswer: 11000001010011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + -3. What is the units digit of ((-4)\/(-6))\/(l\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 12*y + 13. Calculate o(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.1 and 40748.\nAnswer: 330058.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 at most 272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:45 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2141\/6 - 356. Let x(u) be the first derivative of 0*u**4 + 6 + 0*u**2 + 2\/3*u**3 + 0*u**5 - w*u**6 + 0*u. What is the third derivative of x(m) wrt m?\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*j**4 + 3*j + 177?\nAnswer: 280*j**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -17 + 5. Let s be (z\/15)\/(((-8)\/(-2))\/(-40)). Let w = 0.026 - 3.026. Which is the second biggest value? (a) 3 (b) w (c) s (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 218 + 142 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5 + -3 + 4)\/((-11)\/13) and -37\/61?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**2 + 7*h**2 - 2*h + 16*h**2.\nAnswer: 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -220*q - 830 - 23. Put -0.31, 0.011, q, -0.5 in increasing order.\nAnswer: q, -0.5, -0.31, 0.011","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1033854 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 less than 0.3?\nAnswer: 39.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 6*n = -144. Let h = n + 120. Suppose -33 - h = -3*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12360770 (base 8) in base 13?\nAnswer: 751474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**2 + 32*t + 30 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1510779948 to the nearest integer?\nAnswer: 38869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Suppose -q + 18 = 5*z, -4*q - z = b*z - 27. Let v(s) = -s**3 + 8*s**2 - 5*s - 10. Let d be v(7). Solve 2 = q*c + d*m + 3, 5*c - m = 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 449 in -3\/11, -23, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19988 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 2 (c) 1 (d) -7196 (e) 128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2. Let x(t) = t + 3. Let a(c) = 3*j(c) - 2*x(c). Suppose -6 = -o + 3*f - 2*f, 5*o + f = 24. Let b(v) = -v + o + 0*v - 5. Calculate a(b(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*c + 23*c - 28*c)*((c**3 - 2*c**3 - c**3)*(2*c - 4*c + 0*c) - c**4 - 3*c**4 + 2*c**4).\nAnswer: -116*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -53 - de161?\nAnswer: -de1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2428*c + 138*c**2 + 2428*c)*(-8 - 4 - 13).\nAnswer: -3450*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 624?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 12671.379.\nAnswer: 3801.4137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442920577 plus -0.02?\nAnswer: -1442920577.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1050 and 70.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*x + 303 - 3111 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 + 425*i + 2370 = 0.\nAnswer: -79, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)\/o**(2\/3))\/((o*o**(-2\/9)*o*o)\/o*o**(-2\/9)*o) assuming o is positive.\nAnswer: o**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*j**4 + 1 + (0 - 2 + 1)*(j**4 - j**4 + 2*j**4) - 12*j**4 - 13*j**3 + 13*j**3 + 32*j - 60*j**4 + 27*j + 437*j**4 - 59*j.\nAnswer: 359*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -101.38 (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2910 + 2909.7. Let y = 0.35 + -0.05. Which is the nearest to 0.1? (a) y (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3801 - 718591173.\nAnswer: -718594974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n - 21*n - 16*n - 29*n.\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 4*i**4 - 4*i**4 + (-2*i + i + 3*i)*(2*i**3 + 3 - 3) - i**4 + 0*i**4 - 2*i**4 - 36*i + 36*i**2 - i**4 + 37*i - 4*i**2.\nAnswer: -3*i**4 + 32*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/2 - (-7 - -5). Let n = u + -6. Sort 0, -1, n in ascending order.\nAnswer: -1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -0.145 in decreasing order.\nAnswer: 3, -0.145, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1.43, 23\/4 in descending order.\nAnswer: 23\/4, 1.43, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c + 3. Let r(s) = -s - 7. Let v be r(-13). What are the prime factors of m(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4\/2 + 1033*g**3\/2 - 3022*g**2 - 33854*g + 13992 = 0. What is g?\nAnswer: -212, -6, 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1304, -1351, -1402, -1457, -1516, -1579, -1646?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25878 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29763*b*g**2 - 2*b*g + 3*b - g + 1120 wrt g.\nAnswer: -59526*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 divided by 21375?\nAnswer: -47\/4275","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2 + 2 - 1854\/206 - 18?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 2*y - y + 6, 3*j = 4*y - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6230 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19822317 to the power of 1\/2, to the nearest integer?\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 88 = -29*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3961 + 202b?\nAnswer: 5990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2)*o*o*o*o*o)\/o**(-3))\/(o\/(o*o**(1\/4))*o)**(-23) assuming o is positive.\nAnswer: o**(103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18 and 7\/34042770.\nAnswer: 34042770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 - -195. Suppose -2*i = m - 15 - 56, k = m - 3*i. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -14\/5 (c) 12 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396, -3076, -10358, -24546, -47944, -82856, -131586, -196438?\nAnswer: -279716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*p**4\/11 - 294*p**3\/11 - 1110*p**2\/11 - 226*p\/11 + 600\/11 = 0. What is p?\nAnswer: -25, -4, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7553 + -0.2553. Which is the second biggest value? (a) 0.3 (b) 1618 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 5*k**2 + k + 10. Calculate q(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11*m - 33. Let r be i(-15). Let f = 388 + r. What is the greatest common factor of f and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198492 divided by -357?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -273797?\nAnswer: 273796.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -64, -2, 5, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 17*n + 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 919 + 307?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 30 = 15. Let c(i) = i**3 + 2*i**2 - 3*i + 4. Let z be c(-3). Suppose w + 12 - 15 = 0. Solve h = z*x - w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -302 + 253 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 1\/5 (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 610.19 - 580. Let k = 203 - 173. Let m = k - d. Round m to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*i - 6, 2*f + 2*i - 9 = -3*i. Let u = f + 7. Let n = 20 - u. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-3)\/33 + (-9513)\/(-119889). Which is smaller: -0.04 or g?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/14 and -63\/163437116?\nAnswer: 1144059812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 4 + 1)*(5*f**3 + 0*f**3 - 3*f**5 + 0*f**3).\nAnswer: 63*f**5 - 105*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2524.2.\nAnswer: -10096.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:50 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, b: 2, f: 1, d: 1, v: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + 15 + -157 + 2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3247\/3 + 32797\/30. What is the common denominator of -4\/9 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111 + m + 3*m**2 + 2*m**3 + 120 - 3*m**2 to the form p + h*m**2 + s*m + v*m**3 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.53 take away 0.8?\nAnswer: 396.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -296 - -144. Let k = 161 + s. Which is smaller: k or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2) + (-96)\/12. Let s(b) = b + 10. What is s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 5. Let w = q - 10. Put 1\/3, w, -3\/4 in increasing order.\nAnswer: -3\/4, 1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1085538 divided by -180923\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200286715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 18914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, -285, -1007, -2421, -4755, -8237, -13095?\n\"Answer: -38*k**3 - 4*k**2 + 20*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/2*(-2)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4945289821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 12*t + 2. Let j be y(12). Find s such that -24*s**3 + 0*s**2 - 32*s - 4*s**4 - 15*s**j - 33*s**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120118 times -0.2?\nAnswer: -24023.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 + -37626?\nAnswer: -37524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 3328052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from qjsqjqsjsqqsjqqsjss?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2639\/6, 0, -5, 2\/19?\nAnswer: 2639\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-109)\/(-4)*9\/((-90)\/(-280)). Find the third derivative of -v*b**3 - 242*b**2 - 858*b**3 + 2*b**5 + 1544*b**3 - 3*b**5 wrt b.\nAnswer: -60*b**2 - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 44*z**2 + 2*z + 67. Let b be o(-44). What is the smallest value in b, 0, 1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 638287*a - 1276573*a + 638283*a.\nAnswer: -3*a - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701049.\nAnswer: 3, 233683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*z**6 + 102*z**5 - 2*z**3 - 3039*z**2 - 3*z?\nAnswer: -840*z**3 + 6120*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + 3*g**5 - 3*g**3)*(0 - 3 + 1).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93746.73 - -93290. Let a = t - -457. What is the nearest to 1 in -3, a, 4, -2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -274712?\nAnswer: -274712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -791 + 1467. Suppose 0 = n + 2*i - 691, 3*n + 5*i - m = 2*n. List the prime factors of n.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(45\/(-12))\/((10209\/(-82))\/(-83))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15697263.\nAnswer: 3, 73, 229, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-1085)\/(-4))*((-6750)\/108)\/25\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-64)\/(-10) - 8\/20. Let j(k) = 2 - 3 - 15 - 3 - 6*k. Let s be j(-4). Solve s*x + y + 14 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 9*k - 4. Let x(u) = -u + 18. Let t be x(11). Let b be g(t). Is ((-17312)\/b)\/(2\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + n**2 + n**2)*(2*n**3 - 5*n**3 + n**3) + n**5 - 2*n**5 + 2*n**5 + (0*n + 3*n - n)*(-5*n + n + 3*n)*(4*n**3 + 2*n**3 - 3*n**3).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 7. Let o(m) = m**2 + 18*m - 109. Let d be o(5). Suppose d*s - 35 = 11*s. Calculate x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 5*x**4\/12 - x**3\/2 + x**2\/2 - 6*x. Let j be l(5). Suppose -3*m + 0*m + j = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -0.1 (b) -1\/3 (c) 2\/1725 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1011422 + -14?\nAnswer: 1011403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 43, 51, 59, 67?\n\"Answer: 8*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6851, 8199, 9543, 10883, 12219, 13551, 14879?\n\"Answer: -2*l**2 + 1354*l + 5499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1965942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 13*x**4\/4 + x**2\/2 - 322*x - 577. Differentiate t(f) with respect to f.\nAnswer: 39*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20171120*u**2 - 4489774*u - 4.\nAnswer: 40342240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(162) + (sqrt(2) - sqrt(882)\/sqrt(9))**2.\nAnswer: -18*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.143 and 5.\nAnswer: -10.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -208353.7662 rounded to the nearest one hundred?\nAnswer: -208400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -3, -8, 6 in descending order.\nAnswer: 6, -3, -8, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/21*81\/(36\/4)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2485777, -9943112, -22372003, -39772450, -62144453, -89488012, -121803127?\n\"Answer: -2485778*h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91401786*i**2*v**2 - 2352*i**2 + 7*i*v**2 - 10784*i wrt v?\nAnswer: 182803572*i**2*v + 14*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53.16 + 55.16. Which is the fourth biggest value? (a) 3 (b) 0.1 (c) x (d) 5 (e) -286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -290 - -562. What is the smallest common multiple of d and 20?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 - 3*c**2 + 6*c**2 + 17*c**2 - 10 - 5*c**2.\nAnswer: 3*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.01 + 0.01. Which is the closest to h? (a) 0.3 (b) -2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -340\/9 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181614, 181872, 182298, 182892, 183654, 184584, 185682?\nAnswer: 186948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.987 to 1 decimal place.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 28794+201750255\nAnswer: 201779049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of (9910 + 93)*(-2)\/(-5 + 1 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10121000101 (base 3) in base 5?\nAnswer: -4230343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*1\/(-18)*(-180)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2875 - -0.2684. Let f = c - -0.0191. What is the second smallest value in -3, f, -0.333?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 71. Let o = z - -44. Is o at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 35168 + 4*d - 35169 - d - 2*d. Let u(t) be the third derivative of -7*t**6\/120 + 35*t**4\/24 - 35*t**3\/6 + 4*t**2. Give -35*p(l) + u(l).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*k - 5. Suppose k*i = 8, w + 2*i = -2 + 142. Suppose -3*r + w = -r. Is 39 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1735*f**4 + 2*f**3 - 8266 wrt f.\nAnswer: 6940*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*j**4 - 220*j wrt j.\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -a1 (base 16) to base 10\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from unnnoomnnngg.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 75?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13011 (base 4) to base 16\nAnswer: -1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17929.\nAnswer: 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.66. Let j be (4\/30)\/((-42)\/35). Let o be (40\/24)\/(3 + (-69)\/18). What is the closest to -1\/2 in o, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 9273*j - 74 + 40.\nAnswer: -9273*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61, -102, -141, -178, -213, -246?\n\"Answer: g**2 - 44*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4, b + 4*p = -0*p + 12. Let t(s) = 2*s**2 - 16*s + 7 - 1 - s - b*s**2. Let k(u) = -u**2 - 3*u + 1. Calculate -34*k(r) + 6*t(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10 - (-115 + (-75383)\/(-385))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and -195605.\nAnswer: -254286.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.473876 + -1.177628. Let r = h + -2.296293. Let m = -5 + r. What is m rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 495 + -260. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 + 2*k**3 + k**4 + 729 - 2*k - 11*k**2 + 3*k**3 - 7*k**3 - 723 as d*k**3 + b + a*k + s*k**2 + x*k**4 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*w = 87*w - 960. Let t = 70 - w. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - (-4 - -2792*344) - 5. Round x to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one halves of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/889 + 64816\/8001. What is the common denominator of 2\/(-1) + 182\/(-12) and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**3\/6 - d**2\/2 - d. Let k(g) = 3 + 0*g + g - 5. Suppose 13 = 22*a - 31. What is a*q(t) - k(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352741 is divided by 7706?\nAnswer: 5971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 4. Suppose -5*o - 1 + 77 = 4*w, 0 = -o + 4*w - 4. Let a be m(o). Differentiate j - 2 + a*j - 2*j with respect to j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 3, e: 1, f: 3, i: 4, q: 2}. What is prob of sequence vv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-2))*w)**(-8)*((w*((w*w*w**(2\/3)*w)\/w)\/w*w)\/w)**(-1\/24))\/(w*(w\/w**(-2\/23))\/w*w**(-2\/5)\/w*(w**6\/w)\/w*w*w*w**(3\/8)) assuming w is positive.\nAnswer: w**(15127\/8280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393145 is divided by 462?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508423 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/(-1 - 10\/(-8)). Let d be 1 - (-1 - 0)*(-2)\/y. Suppose d = -5*u + 325 + 65. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -0. What is the tens digit of (n + 53)*(-18)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 12*t + 11. What is the remainder when u(9) is divided by (8\/(-24))\/((-2)\/78)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*r - 0*o - 94, 6*r = -o + 112. Solve -5*p + 0*x - x = -18, -2*p = 4*x - r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fszkzgrszkksgfgz. What is prob of picking 1 f and 1 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 1093, 4043, 9835, 19417, 33737, 53743?\n\"Answer: 158*y**3 - y**2 - 47*y - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/6 and -67\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8231586 is divided by 107?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344996123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14581 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05677049 to 4 decimal places.\nAnswer: 0.0568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*v + 10 = -49*v. Suppose -3*g + 0*g = 2*b - 103, v*g = -3*b + 167. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 19*l**2 - 9*l - 1. Let y be d(20). Suppose -2*t + 0*t = -b - 13, 0 = -4*t - 5*b + 33. Suppose y = -4*a + t*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-7 + (0 - (-4 + -9)) + -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 324991 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.472 + -1.658. Let v = f - 0.27. Let x = v + 2. Which is the closest to -2\/3? (a) 4 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 926*w**3 - 213441*w**2 - 429664*w - 215296.\nAnswer: -(w - 464)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252 - -266. Which is the biggest value? (a) s (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**3 + 16*n**2 - 2*n + 7. Give g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -7, -19, -37, -61, -91?\n\"Answer: -3*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 517. Let u(q) = q - 182. Let z(b) = 6*n(b) - 17*u(b). What is z(-7)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591064427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 14*u**2 - u + 17. Suppose -7*f = -13*f + 84. Let s be l(f). Solve 0 = s*v + 4*b + 26, 4*v - 5*v + 4*b = -18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j + 1 - 169 = -26*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - 1.99. Let r = -1.6 - v. Let d = 0.4 - r. What is the third smallest value in 1, d, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -302. Let n = -164 - w. Let c = n + 53. Solve x = -c*x + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-9 - (0 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**4*z)*z**(1\/13)\/z)\/(z\/z**(1\/5)*z\/(z*z**(-2\/3)*z*z*z)) assuming z is positive.\nAnswer: z**(-661\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 3120?\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/2 - 985*g**3 + 115483*g**2\/2 - 56756*g = 0.\nAnswer: -2027, 0, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i**2 + 25 + 32*i**2 - 25 + 2*i**3.\nAnswer: 2*i**3 - 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28420374 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/3 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -478, -953, -1428, -1903?\n\"Answer: -475*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*w + 99*h - 96*h, -19 = 3*w - h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2904 + 2903. Sort -128, a, 5, -2.\nAnswer: -128, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.04 - 4. Let j = -8.34 + u. Round j to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -7*x - 6*x. Suppose -2*m + 3*v + 40 = x, m - 13 - 21 = -2*v. Suppose 0 = -25*w + m*w - 6200000. What is w rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2460 and 2419?\nAnswer: 145140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqmnqatqqqntqnqnqt. Give prob of picking 2 n.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13 + 15*z**3 + 111*z**3 + 4 + 3 + 5 - 3*z. List the prime factors of w(2).\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11233906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/9 - 218671466*r**2\/9 = 0.\nAnswer: 0, 109335733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 - (3 - 2)) + -33 + 21780.\nAnswer: 21737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4*w - 30. Let g(r) = -r**3 + 6*r**2 + r - 4. Let d be g(w). What is the highest common divisor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 8*l + 83. Give d(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286*i*v**3*y**2 - 3*i*v**2*y**3 + 2*i*v**2*y - 2*i*y**3 + 2*i*y**2 - 5*v**3*y**3 wrt y.\nAnswer: -18*i*v**2 - 12*i - 30*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.3. Let q = -2261\/423 - 130\/47. Let h = -25\/3 - q. What is the third smallest value in d, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - 1.14. Let x = w + -0.52. Let l = x + -0.64000252. What is l rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 65*g - 1050. Let r be y(13). Solve r*t = 134*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k + 2*k - 26*k + 10*k + 5. Let d(a) = 10*a - 12. Let r(c) = 5*d(c) + 12*w(c). Let j(y) = 55*y. Determine j(r(m)).\nAnswer: 110*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b. Let m(a) = 12*a - 1. Let u(g) = 37*g + 811. Let y be u(-22). Give y*m(h) + 7*n(h).\nAnswer: 6*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237026990?\nAnswer: 2, 5, 1951, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3692 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y - 35. Let t be z(5). Suppose t = 18*u - 21*u + 315. What is the remainder when u is divided by 57?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -250*v - 6047. Let l be h(-25). What is the greatest common factor of 77 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = -12*i + 23438*j - 23434*j, 0 = 2*i - 2*j + 30 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1185 and 18091.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-6 - (-16)\/2). Find the second derivative of -6*f**5 + f + 166*f**2 - c*f**5 - 165*f**2 - 4 - f**5 wrt f.\nAnswer: -280*f**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-235354)\/5)\/(90\/(-225)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -104. Let k be 16\/24 - (-8)\/6. Suppose -k*a = -3*p + 3, 4*a = 4*p - 0*p. What is the greatest common factor of p and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**4 + 0*d**4 - 2*d**4)*(6*d - 3*d - 4*d) + 363*d**5 - 474*d**5 + 377*d**5.\nAnswer: 265*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(468) - -1*sqrt(468)) + (sqrt(468)*3)**2*-4.\nAnswer: -16848 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*l + 13824 = -37*l + 10*l + 21*l for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 9 = -4*n + 29, 3*w - 5*n + 25 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6542 is divided by 736?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*f*o**3*s**2 + 3*f*s**2 - 2*o**3*s - o*s**2 - 35 wrt f.\nAnswer: 12*o**3*s**2 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-68))\/(480\/19584)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h + 1. Let v(r) = -720*r**2 - 216*r - 216. What is -216*k(p) - v(p)?\nAnswer: 936*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.402 - 0.4020712. Round y to 6 dps.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/9, 0.1376 in increasing order.\nAnswer: -2\/9, 0.1376, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(5)) - ((sqrt(320)*3)**2 - sqrt(320)).\nAnswer: -2874 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(77) - (sqrt(77) - (sqrt(77) - 3*sqrt(77) - sqrt(77))*5))\/((-6*sqrt(28) - (sqrt(56)*2)\/sqrt(8))*-2))**2.\nAnswer: 891\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -144.5 + 144. Which is the nearest to 0? (a) 2 (b) y (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 24*w = 540. Let t = -57 + w. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209579975 = 76*s - 79*s - 5*c, -5*s + 5*c + 349300025 = 0. Round s to the nearest 1000000.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 735 divide 2915745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.94 less than -44?\nAnswer: -42.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**3\/6 + 8*q. Let m(u) = 12*u. What is b(m(v))?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 3\/7, 4 in ascending order.\nAnswer: -3, 3\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -337020 - 26?\nAnswer: -337046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.637 - -71.037. Let f = 70 - g. Which is the second smallest value? (a) -5\/6 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s. Let z be m(-1). Let w be 1*((1 + -86 - 0) + -2). Does 9 divide w\/(-9) - z\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 9. Let d(j) = 3*j + 18. Calculate 3*d(r) - 5*h(r).\nAnswer: -r + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*t - 8 = 147, -t + 515 = 4*w. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/4)\/(595\/(-170)). Which is smaller: w or 1.02?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 935 divide 6251806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2844195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4, -o + 68 = -3*w - 37. What is the remainder when o is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, -253, -1209, -2527, -4195, -6201?\nAnswer: -8533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 - 2928*k**3 + 735*k**3 + 12*k**4 + 734*k**3 + 731*k**3 + 3*k + 729*k**3 + 9 in the form b*k**2 + s*k**4 + o*k**3 + c*k + r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 13. Give k(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1016 - 444 = -73*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 4*i - 24. Let f = 35 + -32. List the prime factors of -4*f\/i*56.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, g: 2, w: 2, d: 2}. Give prob of sequence gg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 385313 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**3\/4 + 105*t**2\/4 + 45*t\/2 - 50 = 0.\nAnswer: -20, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 71131.4, 1\/9, -8, 3 in increasing order.\nAnswer: -8, -2, 1\/9, 3, 71131.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n + 3. Let b be a(5). Let u be (114\/15 - 8)\/((-10)\/325). Calculate the greatest common factor of b and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*i + 4*g - 9, -g - 26 = -5*i. Suppose -i*c - 3*u = 12, -4 = 5*c + 4*u + 7. Sort 2, c, -33, -4.\nAnswer: -33, -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/((-168)\/(-54) + -3). Suppose -3*q - 10 = w, -i*w = -0*q - 5*q - 40. What is the smallest common multiple of w and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/14 and -85\/17814.\nAnswer: 124698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/35*-1 - -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*s + 5, 10*r = -5*s + 45 - 40 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*r + 18. Let q = r + 29. Suppose -j - 7036 = 2*z, q*j + 224 = -2*z - 6804. Round z to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*7\/(-14)*-147. Let m = f + 691. Is m a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/2, -3, 0.5, -90376?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 3443?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -10 + 2 + (-8 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.3201637 days?\nAnswer: 461.035728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 42*b**2 + b + 356. Let x be q(40). Calculate the highest common divisor of x and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/195 + (-728)\/60 - -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z - 136. Let o be v(-37). What is the remainder when ((-189)\/(-45))\/(o\/100) is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*h - 5*d + 20 = 51*h, -d = h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -21, 204\/1111, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22851*-4.8.\nAnswer: 109684.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56258*q**5 - 466*q**3*z + 12*q**2*z - 2*q**2 - q*z + 3*z - 452 wrt q.\nAnswer: 3375480*q**2 - 2796*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(-1\/42)*o*o*o)\/o**26)\/(o**(-3))**(-1\/3) assuming o is positive.\nAnswer: o**(-923\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 26373411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/6 - c**2\/2 - 2*c + 2. Let w(k) be the first derivative of y(k). Is w(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0.07, 507, -50?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14609 - -14651. Solve -21*z + k + 0 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11123 - -11122.7. What is the third smallest value in 4, i, -5, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150587 divided by -3?\nAnswer: 150587\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, f: 13, b: 1}. Give prob of picking 1 b and 2 f.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*s**3 + 4*d*s + d - 562*s**3 - 10670 wrt s.\nAnswer: -6*d*s**2 + 4*d - 1686*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((6\/(-2))\/(-1))\/1. Suppose -4*q + u*q - 2 = 0. Let a(w) be the third derivative of -w**4\/24 - w**3\/6 - 8*w**2. What is a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/18 and -85\/3632.\nAnswer: 32688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 924\/(-294)*14\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*a + l - 41953, 3*l = 5*a - 104888. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-3)\/(1 + -4). Let x(k) = -3*k. Let j be x(2). Let n be (1\/2)\/(2\/j). Put -5, i, n in increasing order.\nAnswer: -5, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111211410 - -4?\nAnswer: 111211414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 19 = -1. Suppose -2*d + 2*g + 22 = -i, 4*g = -2*d + 8. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 + 2*k**3 + 5920*k**2 - 7849.\nAnswer: 8*k**3 + 6*k**2 + 11840*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 15. Suppose w = 5*j - y, 10 = 3*j + y - 7. Does 4 divide 31\/j + (-2)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-882)\/108 - -8)\/((-2)\/3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 14694511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2 + 2*n**4 - 7*n + 5*n + 0*n**4 - n**2 to the form g + c*n + r*n**3 + l*n**2 + b*n**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*h**2 + 33*h**2 + 24*h**2 in the form d + s*h + k*h**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23285088.\nAnswer: 2, 3, 233, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 28*a + 82144 = 83948 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w - 5. Suppose -10 = 2*u, 83*u = -5*a + 81*u - 40. What is g(a)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.1387791 rounded to 3 decimal places?\nAnswer: 36.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5136\/30816)\/((111\/(-18))\/(-1))?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 5. Let s(d) = 2*d + 15. Let m be s(-5). Let k be o(m). Find r, given that 0*r**2 + 0 + k*r**3 + 1\/2*r**4 + 0*r = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 874*p**2 - 47 + 2*p**3 + 10*p - 5*p**3 - 863*p**2 + 5*p. Calculate w(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 174 + -c9?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {o: 4, v: 7, n: 1, x: 6}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/4 + 1785*j**2\/4 + 329061*j\/4 + 17577279\/4 = 0. What is j?\nAnswer: -251, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6754431?\nAnswer: 3, 103, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 60483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 3}. Give prob of picking 1 t and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9) + 2 - 13\/(195\/(-100))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*r - 2*r. Let o(c) = c**3 + 14*c**2 + 6*c - 1. Let j(h) = 2*h**3 + 29*h**2 + 13*h - 3. Let f(u) = -6*j(u) + 13*o(u). Is f(r) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 a factor of 188541925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2845*0.089.\nAnswer: -0.0253205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4519677 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 b = -22 - -18. Let i be (-80)\/42 + (b - (-288)\/63). Let l = 3 - 2.6. What is the second smallest value in -2, l, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.003 (b) 1 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6730 - -6906. Calculate the remainder when 204 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -259270951*a. Let d(s) = 2*s**2. What is n(d(r))?\nAnswer: -518541902*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**5\/5 + 318*g**4 - 209073*g**3\/5 - 426126*g**2\/5 + 209076*g\/5 + 424536\/5 = 0?\nAnswer: -2, -1, 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*r**4*s + 3*r**2*s - 2*r**2 + 4*r*s - 2*s wrt r.\nAnswer: 108*r**2*s + 6*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4608\/(-1280))\/((-1)\/5)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -33*q**3 - 6*q**2 + 2. Let p(h) = 65*h**3 + 14*h**2 - 5. Let x(m) = -3*p(m) - 7*w(m). Differentiate x(c) with respect to c.\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1329*i + 2802 - 5602 + 2800)*(3*i + 0*i - 2*i)*(-6 + 3 - 2) - 7 + i**2 + 7.\nAnswer: -6644*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 1, -2*l + 2707*z = 2706*z - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/220 and 187\/11970.\nAnswer: 263340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-165)*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 43.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21033 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - 20*n + 144*n + (-2*n + 0*n + n)*(0 - 1 - 1)*(4 - 3 - 3).\nAnswer: 118*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12148327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 13. Suppose v + 4*r = -4, v - 4*v = r + h. Suppose 5*y - 5*q - 77 - 33 = v, 0 = 5*y - 2*q - 122. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -22 + (-77)\/(-7) - 6931\/(-630). Let n(i) be the third derivative of -23*i**2 + 1\/60*i**5 + 0*i**3 + 0*i**6 + 0 - c*i**7 + 1\/36*i**4 + 0*i. Factor n(f).\nAnswer: -f*(f - 2)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -541 in -0.013, 0.5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/16 and -26\/7989?\nAnswer: 127824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283152*r - 283151*r + 566298*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157570447 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 197.2656992 and 0.9.\nAnswer: 198.1656992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 16. Let c be g(10). Suppose -28*a = -29*a + c. Let x = -24 + a. Calculate the highest common divisor of 24 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 8*h**2 - 2*h - 28. Let z be b(-9). Let m = z + -41. What is the greatest common factor of m and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 112. Let c(z) = -z**3 + 12*z**2 + 17*z - 31. Does 2 divide c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -10 - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94465 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 28, 50, 82?\n\"Answer: 5*u**2 - 3*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144022.\nAnswer: 2, 11, 149, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154638401.\nAnswer: 409, 378089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 1. Let q be j(-2). Let p = q - -3. Let s = 0 + 3. Solve p = -n + s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*c**3 - c**2 + 53*c.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 6*t - 3. Let s = -5 + 10. Let u be a(s). Suppose -186 = -3*f - 3*c, -u*c = -0*f + f - 59. List the prime factors of f.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 175 - 37. Let w = 27 + t. Suppose -6*l = -w*l - 78. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10956 and 36\/143.\nAnswer: 142428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.395644 take away 0.4?\nAnswer: -0.004356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49505 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -42, -62, -50, 18, 166, 418?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 2*f + 7. Let v(r) = r**2 + 3*r + 6. Let i(q) = -3*s(q) + 4*v(q). What is the least common multiple of i(-6) and -2 + 286\/13 - (-6 - 12)\/(-9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33470090 and 30123081?\nAnswer: 301230810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 + 6601\/24. Let v(d) be the third derivative of q*d**3 - 1\/48*d**4 + 1\/240*d**5 + 0*d + 0 + 2*d**2. Factor v(f).\nAnswer: (f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 109470374, -5, 4.\nAnswer: -5, -3, 4, 109470374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245975923*z**4 - 35026610*z wrt z.\nAnswer: 2951711076*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24336 and 2164812.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 4*u + 1. Suppose -6*a - 16 = -2*a. Let g be z(a). Let d(v) = g - 7 - 1 + v. Calculate d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5474047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 2 + 4*z**4 + 0 + (3*z**3 + 0*z**3 - 2*z**3)*(0*z + 0*z + z) + z**4 + z**4 + 0*z**4.\nAnswer: 6*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*k = -696*k - 702 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/q**0*(q**1)**(-10))**(3\/10) assuming q is positive.\nAnswer: q**(-147\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*b = 10 + 5, -2*b = -4*h - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b - 1. Suppose -7*m = 10 - 80. What is the remainder when i(m) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*6\/(-9) - -3. Let b(h) = 8 + c + h - 3. Give b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 - 12*l + 5. Let r be o(3). Let f(p) = p**3 - 3*p**2 + p + 3. Let w be f(3). Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9743.9 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0 - 35\/6*c**3 + 0*c + 0*c**4 + 0*c**5 + 0*c**6 + 2\/21*c**7 - 34*c**2. What is the first derivative of f(g) wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27543 and 189.7.\nAnswer: 5224907.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -1, 36, -2\/13, 37, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/32035127 or -6\/7?\nAnswer: 2\/32035127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88363 and 2227577?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 7*c = 5*c + 35, 4*c - 35 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-9)*21\/28?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**3 + 20*z**2 - 60*z - 76. What is u(7)?\nAnswer: -2260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7877\/35 + 1111\/5. Let u = -66 + 64. Is n bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2. Let h(n) be the first derivative of n**5\/60 - 3*n**2\/2 + 2. Let s(u) be the second derivative of h(u). Calculate d(s(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9975 or -1587?\nAnswer: 9975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 232 = 20. Solve 5*o - 2*d = d + 34, -3*o = -d - f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 82 = 4*l - 34, 2*m - 69 = -3*l. Solve -58*k = -m*k - 140 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + 47. Let r = 96.999765 - o. What is r rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 21. Let w(x) = -6*x**2 - 2*x**3 + x + 3*x**3 + 5 - 2*x**3. Give w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 11. Suppose -4*k = 0, 5*k - 3 - 8 = n. Let f be t(n). Suppose x - 11 = -f*v - 3*v, -3*v = -9. Solve 4*j = -4*s + 32, -j - x*j + 21 = 2*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 9:01 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**3 - 7*m**2 + m + 3. Let s be q(2). Solve 25 - s = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Let d(k) = 94*k - 5. Let b(o) = 282*o - 15. Let f(l) = 3*b(l) - 8*d(l). Is f(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((20 + -11 - -21) + 1 + 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -16 + 35 + -18 - 7) + 12 + 0\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -87*k + 4355. Give r(50).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 80\/3*z**3 - 17*z**4 - 118 + 0*z - 8*z**2 + 16\/5*z**5. Determine q, given that u(q) = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*j**3 - 45*j**2 + 4470*j + 1120.\nAnswer: -5*(j - 14)*(j + 16)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-55) - (-39)\/(6864\/(-32)). Sort -5, s, -1\/4, -1\/2 in increasing order.\nAnswer: -5, -1\/2, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900*v = 905*v - 210. Suppose 20*b - 16*b = 1512. Calculate the highest common divisor of b and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 28*f + 127. Let z(h) = -h**2 + 5*h + 1. Let q(a) = c(a) + z(a). What is q(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - p = 0. Suppose p = 3*c + 47 + 49. Let l be c\/(-80) + 26\/(-40). Sort l, 3, -1\/3 in descending order.\nAnswer: 3, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1375 + 2048. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 + -0.46. Let c = -13 + 13. Let m = c + f. Is m less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 1. Let l = -368 + 161. Let h be (-1)\/(-4) + l\/92. What is d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f - 0. Let r = f - -6. Suppose -51 = -t - r*t. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -9. What is the units digit of (-44)\/(-6) - 24\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*h - 1 + 2, -13 = -5*s - 3*h. Let a(l) = 2*l**3 + l**2 + l - 2. What is a(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57661 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - 9711*z - 7240*z + 20221*z to d*z**2 + s + j*z and give j.\nAnswer: 3270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6088*g - 87*g**2 - 6088*g + 421857 - 421857.\nAnswer: -87*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*i - 4630 = 2617 + 1694 + 5868 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10475 = 34*d - 20339 + 2152. Calculate the smallest common multiple of 24 and d.\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4\/3 - 253*c**3\/3 - 1618*c**2\/3 + 688*c\/3 = 0. Calculate c.\nAnswer: -43, -8, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/((-12)\/(-4)) - 0. Suppose -h = -r*u + 1526, 3 + 1 = 2*h. Suppose -5*f - 4*l = -u, 6*f = 3*f + 2*l + 216. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-1) + (-1462)\/(-272) + (-12)\/32. Sort d, 1, -87, -2 in ascending order.\nAnswer: -87, -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1238, 4884, 10962, 19472, 30414, 43788, 59594?\nAnswer: 77832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/6 - 5 - 2\/(-6). Suppose 5*w = 1 + 9. Factor -9*d**x + d**3 - 8*d + 6*d**2 - 2*d**4 - 2 - 18*d**w.\nAnswer: -2*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/54 and -89\/15804?\nAnswer: 47412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -52. Let m be 40\/24*6\/i. Find the third derivative of -m*a**6 + 2*a**5 - 3*a**5 + 12*a**2 + a**5 wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109196 + -109189. Suppose 0 = b + 1 - 5. Suppose -18 = -b*g + 2. Solve -x*c = -6*c + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-10))\/((-660)\/4462). Let i be -1 + 1\/(44\/422). Let g = i + j. Calculate the common denominator of 85\/14 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7747181 and 0.12?\nAnswer: 929661.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 53. Let q be 1\/(s\/32)*(-18)\/48. Put q, 48, -3 in descending order.\nAnswer: 48, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 673483.6 + -673483.590759017. Let k = -44.990713017 - m. Let j = k + 45. Round j to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d**2 + 3*d - 10. Let o(s) = 14*s**2 - 4*s + 11. Let x(u) = 3*o(u) + 4*z(u). Differentiate x(t) wrt t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40611255 to the nearest integer?\nAnswer: 6373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 4, -3\/8, -0.2 in descending order.\nAnswer: 4, -0.2, -3\/8, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -132*o + 136*o - 1012. Calculate the greatest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**7\/630 + 47*p**6\/360 - p**5\/4 - 47*p**4\/72 + 23*p**3\/9 + 421*p**2 - p. Factor l(g).\nAnswer: -(g - 46)*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/2 in -0.4, 31\/37, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-30))\/2*-18. Let b = l + 41\/15. What is the fourth smallest value in 2, 4, -1, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 594*x - 5*x**4 + 3345*x**2 - 6682*x**2 + 3339*x**2 + 3*x**4 to the form q + o*x**2 + y*x + d*x**4 + l*x**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17599 - 1961. What are the prime factors of u?\nAnswer: 2, 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*r**2*y**3 + 2286*r**2*y + r*y**4 - 2*y**2 wrt y.\nAnswer: -132*r**2 + 24*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 9 - -2)\/(2 + 0). Suppose -3*u - 2 = -5, o = b - 5*u - 91. 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: Let l(y) = y**3 - 7*y**2 + y - 8. Let r = 35 - 28. Calculate l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (2 - -10) - -20) + 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 9 = 18*k. Let q = -5 - -7. Let v(c) = -c**2 + 3*c - 2. Let s be v(q). Is s equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4) + (-11)\/(-22))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.48677 - 39.07218. Let v = -49.5589508 - t. Let g = v - 2. What is g rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47920 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 4) to base 12\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*p**2 - 32915*b**2*p - b**2 - 9619703*b*p**2 + 2*b*p + b - p**2 + p + 26 wrt p?\nAnswer: 4*b**2 - 19239406*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 10*r**3\/3 + 3*r**2 + 2. What is the second derivative of m(i) wrt i?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-462)*(3 + -9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1584) + 4 - (2 + sqrt(11) + 0 + (-1*sqrt(121))\/sqrt(11)))*1)**2 + -2.\nAnswer: -96*sqrt(11) + 6338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 + 951662*j**2\/3 + 951660*j.\nAnswer: 2*j*(j + 3)*(j + 1427490)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + -2) + 5.\nAnswer: -1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {o: 1, i: 3, c: 1, l: 4, r: 8}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*25 - (-25)\/(125\/30). Is a greater than or equal to 180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4) + 22\/4. Let m be k\/(-10) + (-2)\/(-30). What is the biggest value in 0.3, m, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*r + 13 = 0, 115 = 3*q + 2*r + 2*r. Calculate the remainder when 125 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6531)\/27990)\/((-4)\/(-120))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 11, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 7*o**6\/120 - 16*o**4\/3 + 10*o**3 - 151*o**2 - 11. Differentiate v(u) with respect to u.\nAnswer: 21*u**2 - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/((-46)\/(-230)*-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -9. Suppose 580 = -b*h - h. What is the units digit of h\/(-14) + 2\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 265 (b) 3 (c) 0 (d) 0.1 (e) 1.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + sqrt(567) + -2 + sqrt(567)*-1 + ((sqrt(567) + -1)*4 - (0 + sqrt(567) + 1))**2.\nAnswer: -270*sqrt(7) + 5127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 133, 12\/59, -1, 5, 6\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*o - 301, -3*o = o + 8. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23370 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*o**2 - 2*o - 97*o**2 - 46*o + 2.\nAnswer: -168*o**2 - 48*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 5*w - 47 = -9*v, -3*v = -3*w - 39. What is the second derivative of -10 + v*d**5 - d**5 + 14 + 0 - 3*d wrt d?\nAnswer: 260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -319 - -363. Calculate the highest common divisor of y and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(1 + 4 - 3)*(-158*d**3 - 5038*d**2 + 5038*d**2) in the form n*d**3 + l*d**2 + t*d + f and give n.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4563, 9125, 13687, 18249, 22811?\nAnswer: 27373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47488 and 63616.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101122112200 + 11?\nAnswer: 101122112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (24 - 8 - 4) - 55 - (13 + -23).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -3, 5, 4, -8 in decreasing order.\nAnswer: 28, 5, 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, q: 13, p: 3}. Give prob of sequence pq.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*1*(-3)\/(-6). Let k be 1\/5 + (-1488)\/20. Let s = k + 74. Is t equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031635564 to five dps.\nAnswer: -0.03164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -2897*u**2\/2 + 142. Let n(p) = p. Calculate n(v(g)).\nAnswer: -2897*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and 4\/(-22) - (-4456)\/3696.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 2:14 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -14471\nAnswer: 120\/14471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-102)\/153)\/(5\/((-225)\/(-6))). Which is the third smallest value? (a) 141 (b) 4 (c) 3 (d) h (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 309.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 18*d**5 - 6*d**3 + 16*d**2 + 6*d. Let u = 72 - 78. Let g(p) = -p**3 - p**2 + p. Let w(z) = u*g(z) + q(z). What is the third derivative of w(c) wrt c?\nAnswer: 1080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 9336.\nAnswer: 9336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d**2 + 9*d. Let x = -24 - -33. Let g(m) = -5*m**2 - 4*m. Suppose 5*u - 15 - 5 = 0. Let a(f) = u*r(f) + x*g(f). Give a(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 12*i - 6. Let d be (-18)\/4*4\/(-3). Let m be f(d). Are -2 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 - 28*w**2 + 64*w**2 - 24*w**2 - 1927*w**3.\nAnswer: -1927*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 163?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2894, -6213, -10002, -14273, -19038, -24309, -30098, -36417?\nAnswer: -43278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 19*m**2 - 13*m**2 - 7*m**2 + 6.\nAnswer: -39*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 19*x**2 - 38*x - 58. Let j be i(-17). Let h(z) = -3*z + 23. Determine h(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 361*u**9\/504 - u**8\/168 - u**5\/30 + 133*u**4\/24 + 314*u**2. What is the third derivative of a(f) wrt f?\nAnswer: 43320*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (80\/(-48))\/(((-6)\/4791)\/(25 - 1)).\nAnswer: 2, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -382, -381, -380, -379?\n\"Answer: u - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.22 + 0.12. Let i = -0.057 - 0.043. Let b = i - w. What is the biggest value in -2\/7, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268902696670 - -2\nAnswer: -268902696668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -418 + 493. Solve 0*h = -25*h - w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2377, -2380, -2385, -2392?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.261454 months in millennia?\nAnswer: 0.0009384545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 6. Suppose -3*a - 5*v = -5*a - 13, 20 = 4*v. Give h(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atktiaacca. What is prob of picking 2 t and 1 c?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.633 + -0.033. Let z = j - 8. Let u = 0.035 + 0.465. What is the biggest value in u, z, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((344\/(-387))\/((4\/3)\/(-1)))\/((-14)\/1932)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*a - 3*m, -4*a + 5*m = -17. Suppose -4*v = g - 838, a*g + 138*v = 134*v + 2538. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 + 3 + 14 - 1 - 6 - f**3 - 2 as g*f**3 + m*f**2 + o + y*f and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 1 + 1)*(-3 + 6 - 1)*(-3 + 3 + 5*l).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -5 + 149. Let h(n) = 13*n - 6. Let b be h(6). What is the greatest common factor of i and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000194 times -3\nAnswer: 3000582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/34)\/(66996\/(-31637))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 12*s - 7*s. Let q(k) = 2*k. Calculate q(o(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -54*a**2 + 9*a - 2. Let k(h) = -3*h**2 + h. What is b(w) - 6*k(w)?\nAnswer: -36*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 2, f: 1, c: 1, e: 1}. Give prob of sequence cec.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/3451044 or 0?\nAnswer: -17\/3451044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 12*r - 301560 = 0. What are the prime factors of r?\nAnswer: 2, 5, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 0, -69\/10, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.73 + -9.43. Let f = 6.3 + s. What is the second smallest value in -1, f, 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95194819519\/764 - -124600528. Let o = 11336778\/191 - 59355. Let q = j + o. Calculate the common denominator of 9 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 1. Let f(p) = 5*p**3 + 4*p**2 - 2*p + 5. Determine f(y) - 5*v(y).\nAnswer: 5*y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024826 + 615153.859?\nAnswer: 615153.883826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + z**2 + 111*z + 1558. What is g(-12)?\nAnswer: 2098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*j - 14436203, -27*o - 4*j - 14436209 = -32*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3772 times 5?\nAnswer: 18860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**7\/10080 - 5*v**4\/24 + 5*v**2. Let f(w) be the second derivative of t(w). Suppose f(g) = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212 - 130. Let q = g - 78. Let h = 1.253 - 0.253. Which is the third biggest value? (a) -4\/3 (b) -1\/2 (c) q (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35449452 to the nearest integer?\nAnswer: 5954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10229121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(((-16)\/3)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9641, -19278, -28915, -38552, -48189, -57826?\nAnswer: -67463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 89*c**2 + 113*c - 118. Calculate w(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 divide 182297357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-252)*7)\/(1*2\/36).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + b**2 - 4*b**2)*(-3 + 3 + 21*b).\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {m: 2, u: 6, v: 7, e: 1, l: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23\/39 - 12\/13. Put 0.1, i, 0.4 in descending order.\nAnswer: 0.4, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(13\/(-78)*-12). Solve -5*g = 5*u, 5*g - u + 8 = w*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiijiiuuiji. Give prob of picking 1 u and 2 i.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*(sqrt(70) - (sqrt(70) + sqrt(70) + sqrt(70) + (sqrt(70) + 1*sqrt(70) - sqrt(70)) + sqrt(70) - sqrt(70))))\/(4*1*sqrt(40)))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2064625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3184469 to the power of 1\/2, to the nearest integer?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 19 + -3 - 247\/(-26)*2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 139335930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 240108449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m**4 + 2*m**4 - 3*m**4 - 3*m**4 + 0*m**3 + 0*m**3 + (-m**3 - m**3 + 4*m**3)*(-2*m + 1 - 1) - 2*m**2 + 2*m**2 + m**4)*(6 + 5 + 1).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 191281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 1:45 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, t: 2, m: 1, f: 1}. Give prob of picking 1 m and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 6:26 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-3) - 3080\/(-825). What is the closest to -1\/3 in -3, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 761154 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 + (38 - 145 - -23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.5 - 0.5. Which is the third smallest value? (a) -2\/5 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 0*b**2 + 5*b**2 - b**2. Let z(t) = 13*t**2 + 7*t. Let l(r) = -4*r**2 - 2*r. Let x(g) = 7*l(g) + 2*z(g). What is k(x(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/55 and -46\/14315.\nAnswer: 157465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17)\/w*w**3)\/(w**8\/(((w*w**3)\/w)\/w*w)) assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let l = 6 - 3. Let r(u) = u**2 + u**2 - l*u**2. Give r(b(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119*-2.86.\nAnswer: 340.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36110*i**4 - 554*i**3 + 124337674*i wrt i?\nAnswer: -433320*i**2 - 3324*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 3*l**2 + 2*l - 3. Let y be a(2). Solve y*p + 0*u - 5*u = 15, 4*p + 4*u + 28 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229431 less than or equal to 230381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -45 - 1\/2*m**2 + 23\/2*m = 0.\nAnswer: 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 144*v**2 - v. Let d(o) = 54*o + 8. Let f(b) = 20*b + 3. Let g(q) = 3*d(q) - 8*f(q). Determine g(j(n)).\nAnswer: 288*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*c + 7115, -5*c = 7*u - 4*u - 5340. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19260326, 19260323, 19260310, 19260281, 19260230, 19260151, 19260038?\nAnswer: 19259885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3*m + 26 = -8*c + 6*c, 3*c = 7*m + 64 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 312\/(-1092) + (-111)\/(-21). Solve -2*i + 8 - 4 = 4*a, i - y*a + 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 2}. Give prob of picking 2 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**2 - 2*d + 1. Let t be s(1). What is the third derivative of 280*z - 280*z + 9*z**5 + t*z**2 wrt z?\nAnswer: 540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 27573*m - 39 - 27575*m.\nAnswer: -2*m - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*r - 576*r = 471*r + 397*r - 48230 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (25 + -25) - 47) + 15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1672 by -2400.\nAnswer: 209\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-7 + (5 - 16 - -19) + 69 + 3)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.70825t in kilograms?\nAnswer: 47708.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + ((sqrt(55)*-4)\/sqrt(11) - sqrt(5)) + 4)**2.\nAnswer: -32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*o - 19 = 0, -1863*z = -1864*z - 5*o - 22. Solve 5*t + n + 4*n - 15 = 0, -5*n - z = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (461*w - 873*w + 576*w)*(-4*w + 4*w - 2*w) to m*w**2 + o*w + j and give m.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 17*b + 30. Let c be 3\/4 - 969\/(-68). Let f be a(c). Let m(k) = 2*k**2 + k + 3. Let p be m(f). Solve -p*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-33*x - 38*x + 40*x)*(2*x - 6*x + 3*x).\nAnswer: -62*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b26bc (base 16) in base 14?\nAnswer: 344672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2)*l\/((l**(-8)\/l*l*l)\/l))\/(l*l**0*l*l)**11*(l**2\/(((l\/(l*l\/l**(-6)))\/l)\/l*l))**(13\/4) assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -159, -98, -37, 24, 85?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8106151927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104.65 - -3.85. Let x = 108 - r. What is the biggest value in 0.1, 0.4, 6\/11, x?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 185, -3, -1\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*h = -h - 36, p + 3*h - 19 = 0. Solve -1 = -l, 2*t + p = -2*l + 5*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 53*y - 444. Calculate the remainder when u(10) is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10))**(-26) assuming j is positive.\nAnswer: j**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22332 (base 7) in base 6?\nAnswer: -42110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3023*c**4 - 2071.\nAnswer: -12092*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02 - 0.42. Let k = 0.112 + -0.612. Let r be 4\/(-6) + 2\/3. What is the nearest to r in k, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 23 = -5*x - 3, 0 = 5*f + 25. Suppose 4*v + 3*g - 43 = 0, g + 15 = 3*v - x. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -45*k - 1. What is the remainder when d(-4) is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, -0.07, 5, 0.3, -2\/7, -423?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 4*c + 27. Let r be 12*(c\/12 + 2). Let k be 10\/((-2)\/(-2)) + r. What is the greatest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33232.\nAnswer: 2, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 2*j**2 - j + 9. Let f(l) = 693*l - 4158. Let o be f(6). Calculate s(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 3*f + 40 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 6 - 6. Let t be 0\/(-2 + 0\/h). Put 4, 2, t in decreasing order.\nAnswer: 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14911, 29820, 44729?\nAnswer: 59638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 153 = -7*r. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -6 + 28\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + (-3770)\/(-117) - 18)\/((-4)\/36)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6 = -3*t, 0 = -2*s + 3*t + 3 - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n**3 - 2*n**2 - 2*n - 1. Suppose 4*i = -a - 0 - 4, 4*a = -i - 1. Suppose 3*f + 9 + a = 0, 11 = -5*h - 2*f. Give x(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7*g + 52*g + 56*g - 2*g + 0 - 32*g.\nAnswer: 67*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 1\/6*m**3 - 1\/12*m**4 + 0 - 2433\/40*m**6 + 0*m**5 + 0*m + 20*m**2. Let h be n(1). What is h rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 4 = -32. Suppose -4*l - 12 = 0, -25 = -g + t*l + 7. Solve -2*w = i - w - 3, 3*i - 4*w = -g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88 in -3\/2, 2\/51, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)*u)**(4\/7))**(1\/31)\/((u**(1\/2))**(-1\/10)\/((u**(-3)*u)\/u**(3\/5))) assuming u is positive.\nAnswer: u**(-11227\/4340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 22 - 18. What is the smallest common multiple of 4 and (-12)\/o + (-129)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/49 and 87\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + 6 + -53 + (-7 + 3 - (76 + -4))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 3, u: 5, k: 2, v: 1, o: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:59 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g - 17. Let y be u(-5). Suppose -y = -4*i - 14. Find the third derivative of -4*r**i - 10*r**6 + 11*r**2 + 2*r**6 wrt r.\nAnswer: -1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -a - 145, 0 = -5*w - 2*a + 108 + 37. What is the remainder when 920 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-11 + 15\/((-450)\/(-1320)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -6\/7*t**5 + 22\/7*t**4 + 0 + 18\/7*t**2 - 30\/7*t**3 - 4\/7*t = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148790833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/3 + 963443*m**2\/3 + 232056085283*m\/3 + 232055121841\/3 = 0. Calculate m.\nAnswer: -481721, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 260.9238 + -261. Round i to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099967 rounded to 7 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 1, -w + 0*w + 9 = 4*n. Suppose -7 + 5 = -n*u. Suppose -3*v = u - 25. What is the remainder when 18 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1004, 1215, 1426, 1637, 1848?\n\"Answer: 211*u + 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5103601 (base 7) to base 9.\nAnswer: 1123711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 1858*n + 284013. Determine y(-142).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/720*((-18)\/(-36))\/((-1)\/(-2)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4\/3 + s**3 + 7*s**2\/3 - 5*s - 6 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 + z**5\/15 - z**4\/24 - 2*z**3\/3 + 21*z**2. Let f be o(-4). Suppose f - 2 = -r. Solve -r*h + 6 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*r**5 - 3*r**5 + 7*r**5 - 2*r**4 + 2*r**4 - r**5 + (r + 2*r**3 - r)*(0*r + 0*r + r**2).\nAnswer: -52*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00188 to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0706915669 to four dps.\nAnswer: 0.0707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-28)\/3))\/(11\/((-660)\/45))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 15 = 0, -5*r + 21 + 47 = z. List the prime factors of z.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -8*t**3\/3 + 50. Let i(m) = -7*m**2. Calculate i(f(q)).\nAnswer: -448*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 16 - 2*b - 3*b + 56*b**2.\nAnswer: 56*b**2 - 2*b + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 58*w - 126 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (387\/(-86)*24\/18)\/(20\/2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*h - 137*h + 597*h + 194*h + 580*h - 4 as y*h + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, 1\/4, 2873 in decreasing order.\nAnswer: 2873, 1\/4, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-6\/17)*h))\/h**(-1\/9))\/(h**(-5\/8))**5 assuming h is positive.\nAnswer: h**(4393\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4*s**2 + 5 + 7*s**2 + 5 - 1 to y*s**2 + a + p*s and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 - 1863*l**2 - 1854*l + 3720 = 0. Calculate l.\nAnswer: -620, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 34. Let i be (-2 - t\/(-14))\/(-1). What is the third biggest value in i, -5\/3, 0?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14157503 is divided by 11614?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(320))*-6)**2 - -5*((sqrt(45) + sqrt(45) + sqrt(45)*3)**2 + sqrt(45)).\nAnswer: 591*sqrt(5) + 17181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-9))\/((-1)\/(-3)). Suppose -l*c = -9*c - 20. Let d = 2 - c. Calculate the smallest common multiple of d and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 0*s - 4*s + (3 - 5 + 7)*(-1 + 1 + 2*s) to g + b*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.691 - 0.591. What is the third biggest value in -2.3, -0.03, x?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-3591))\/((-590)\/(-2242)).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4470 - -1770. What is x rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/45)\/(63\/162). Factor 0*h**2 - 2\/7*h**3 + 0*h + 0 - s*h**5 + 10\/7*h**4.\nAnswer: -2*h**3*(h - 1)*(4*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 - 3\/(-4 + 1). Suppose -2*x - g = -5*x. Which is the smallest value? (a) x (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 198.2 and 0.61?\nAnswer: 120.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 w when three letters picked without replacement from {e: 1, d: 4, w: 1, h: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5858, 5699, 5540, 5381?\nAnswer: 5222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 13*i**2 - 7*i + 9. Let x be m(6). Suppose -26 = -4*p - b, -x*p + 32 = p + 4*b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 103 - 115 = 0. What is the remainder when 53 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22424 + 63034.\nAnswer: 40610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 183819 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 113*d*g + 5*d - g + 8 wrt g?\nAnswer: 113*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 47. Let w(v) = -v**3 - 11*v**2 + 12*v + 4. Let f be w(t). What is the highest common factor of 28 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -219. What are the prime factors of w?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1589*i**2 - 3151*i**2 + 1550*i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 151548915 a multiple of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -24461, -2, -9, 3, -3 in increasing order.\nAnswer: -24461, -9, -3, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 175*l**6 + 4*l**5 + 4*l**2 - 55*l. Let b(k) = 88*k**6 + 2*k**5 + 2*k**2 - 27*k. Let h(c) = 5*b(c) - 3*o(c). Find the third derivative of h(f) wrt f.\nAnswer: -10200*f**3 - 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = 0. Suppose -2*a - 19866 - 40134 = s. What is a rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 35 = -4*n, 4*v + 44 = -0*n + 4*n. Suppose s + 10 = -n. Does 4 divide (-3)\/((s\/(-16))\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 200 - 179. What is the remainder when 270 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 19*o - 24. Let v be h(-7). Suppose 26*i = 30*i + v. Are i and -15 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 41 and -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 6. Suppose 13*o = 11*o. Suppose o = -3*a + 4*f - 37, a - 3*f + 47 = -4*a. Let j(m) = 4*m**2 + 30*m + 8. Let u be j(a). What is w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30036902 and -3.\nAnswer: 90110706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6893622 is divided by 61550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 2*q - 1. Let x be k(-1). Suppose o = y - 10, 3*o + 87 = -y + 117. Calculate the highest common divisor of x and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 12*c**2 - c. Let w = 8 - 3. Let n = -4 + w. Is p(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/750486 and 43\/8151.\nAnswer: 185370042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10873854191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -9*l**5\/2 - 219*l**4\/2 + 26465*l**3\/2 - 17569*l**2\/2 + 1462*l = 0.\nAnswer: -68, 0, 1\/3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - -2*(sqrt(76) + -2*sqrt(76))) - -5*(sqrt(76) + sqrt(76)*2 + sqrt(76) + sqrt(76) + sqrt(76)))\/(-2*4*sqrt(12)\/sqrt(3)).\nAnswer: -15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113003804 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 22. Suppose -2*k + j*k = 190. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*a - 2*a**4 - 37*a + (-1 + 1 - 2*a**3)*(-4*a - 10 + 10).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23854.017717 - -23854. What is g rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 plus -27677513?\nAnswer: -27676923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 5:56 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-63))\/(-1) + 656\/3360. Suppose -25 = -g - 65. Let u be (2\/(-4))\/((-5)\/g). Which is the nearest to y? (a) 2 (b) 2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/2 - 0 - -1. Let v be 0*(2 + -4)\/4. Solve -5*c - m - 5 = v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57669 is divided by 13938.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 949 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/(495\/209830) + 1\/9. Suppose m = 5*x + 1728. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 5:05 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 422 - 405. Suppose -33 - 18 = -f*p. Solve -c = -p*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 44*w + 132. Let p be k(-22). What is the highest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14002 + z**2 - 5533 + 19535 + 4*z.\nAnswer: z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32877 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 8:25 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -862*f**6 + 3*f**5 + 2*f**3 - f**2 - f - 326 wrt f.\nAnswer: -103440*f**3 + 180*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-12)*q)\/(q**(-5\/4)\/q))**(7\/5)\/(q*q**(2\/5)*q*q**(3\/5)\/q)**(-46) assuming q is positive.\nAnswer: q**(1651\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 240*x - 237*x - 46, 4*p - 26 = 3*x for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*k*l**3*t + 3*k*l**2*t**2 - k*l - 6*l**3*t**2 + 2*l**2*t**2 - 3*l*t**2 with respect to k.\nAnswer: 98*l**3*t + 3*l**2*t**2 - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6*2\/(-16))\/(1\/(-2972)). Suppose -z + 208 = -h. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 309368.027 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcccbbibbkbbb. What is prob of picking 1 k and 1 t?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 2 a when four letters picked without replacement from {y: 1, w: 1, a: 7, p: 2, o: 1, n: 5}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009255 rounded to 4 decimal places?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 24\/(-4) - (-21201)\/(-80). Let v = x + 1296\/5. What is the common denominator of v and 111\/40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.23, -0.06, -1, -0.1, -0.5 in descending order.\nAnswer: 2.23, -0.06, -0.1, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 - 31*v**2 + 43*v - 6. Let b be u(6). Solve 4*n - 96 + 68 = b for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(770\/(-33)))\/(12\/(-8)). Let m = -9 + 13. Let n = -0.14 - 4.86. What is the third smallest value in n, y, 0, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 57*b. Let i(o) = 36*o + 45. Let a(x) = -5*x - 6. Let l be 5 - (3 - 1) - (-468)\/(-26). Let h(c) = l*a(c) - 2*i(c). Determine v(h(q)).\nAnswer: 171*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 13*c**2 + 5129*c + 30540. Calculate q(-6).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 728507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10010100000010 (base 2) to base 15\nAnswer: -2c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/60 - s**3\/3 + 3*s**2. Let a be n(2). Let j be 2*(-1)\/(-2) - a. Which is greater: -2\/11 or j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 11 + (63 - 67 - (-2 + 5)). Suppose 11 = 4*p + i - 2, 4*p - 9 = 3*i. Solve -5*m + b*q - 1 = 1, 0 = 3*q + p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnntnnnnrnnnrrn. Give prob of picking 1 r and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16493.2 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31\/34 + 1\/85. Which is bigger: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4751*h**2*i**5 + h**2*i**2 + 8*h*i**6 + h*i**2 + 74*h + 161*i wrt i?\nAnswer: 285060*h**2*i**2 + 960*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = t - 25 + 52, q + 28 = -2*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -113, -27, 3, -1 in descending order.\nAnswer: 3, -1, -2, -27, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 58999*g + 294990.\nAnswer: (g + 5)*(g + 294990)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/4488 and -29\/168.\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 47*t + 358. What is l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -314 - -461. Solve 180*g + 315*g**3 + l*g**2 + 20 + 145*g**2 + 315*g**2 - 132*g**2 = 0.\nAnswer: -1, -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 2*b + 2*b + (-2 + 2 + b)*(5 - 5 + 1) - 614*b + 1592*b - 660*b to n*b + y and give n.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37, 76, 115?\n\"Answer: 39*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*j - 43, j + 38 = 20*d - 15*d. Let n(l) = 2*l**2 - 21*l + 8. Let m(w) = -w**2 + 11*w - 4. Let v(z) = 7*m(z) + 4*n(z). What is v(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 2*d = -4*q + 136, -2*d - 136 = -4*q. Calculate the remainder when q is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4 - 12. Is s greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 times -0.0612?\nAnswer: -4.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55421 by -353.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 1\/7, 800\/21, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 18. Let l be a(-7). Let c(d) = d**2 - 4*d**2 + 3*d - 2*d**2 + 7*d**3. Let p(q) = 3*q**3 - 2*q**2 + q. Let k(j) = l*p(j) - 4*c(j). Factor k(v).\nAnswer: 2*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 98, 146, 194, 242?\n\"Answer: 48*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*h - 2*h - 180, 0 = 2*o - 3*h + 185. Let x = -55 - o. What is the remainder when x is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 27852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (27 - (4 - -7)) + -7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 20*h - 39. Let g be s(-22). Is ((-1778)\/g)\/(2\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21452, -21462, -21486, -21530, -21600, -21702, -21842?\nAnswer: -22026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*l*n + f*n**4*q + 2*f*n**3*q + 2*f*n + 2*l*n**4 - 3*l*n**2 - 2*n**2*q wrt n.\nAnswer: 24*f*n*q + 12*f*q + 48*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131273500 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-4)\/(-36)*3. Let f be ((-6282)\/(-1628))\/p + 4. Let q = -3\/74 - f. What is the smallest value in -0.4, -0.2, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*i - 4 = 0, -4*m = -13*i + 12*i + 5. Let p(n) = 221*n**3 + 65*n + 65. Let j(q) = -10*q**3 - 3*q - 3. Let o(v) = 65*j(v) + 3*p(v). Give o(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-2))\/(1 + 44776\/(-44752)).\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1\/4 (c) 3\/7 (d) 13 (e) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25971 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138732452\/723 + 383769\/2. Calculate the common denominator of -77\/8 and b.\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*l**2*m + 1569*l**2 + 2877*l*m**4 - 128 with respect to m.\nAnswer: -78*l**2 + 11508*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/120*2)\/(41\/((-533)\/(-26))).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.4, 4, 0.012, 9, 19 in decreasing order.\nAnswer: 19, 9, 4, 0.4, 0.012, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (sqrt(16)\/sqrt(800)*-3 - (1 + -1*(4 + sqrt(2))**2)).\nAnswer: 77*sqrt(2)\/10 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 9:16 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1335620)\/49502 + 54\/2\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 - 5*v + 4. Suppose -k + a + 8 = 0, 0 = k - 2*a - 1 - 11. Let w be q(k). Suppose -2*n + 0*n + 4 = w. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z**3 + z**3 - 2*z**3 + (0*z + 0*z - 2*z**2)*(3*z + z - 7*z) + z - z - 4*z**3)*(3*z + z - 2*z) as u*z**4 + v*z + o + w*z**2 + k*z**3 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(2\/(-1024)). Is 11 a factor of q\/12 + 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/7, 117 in decreasing order.\nAnswer: 117, 0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3189*l**3*o**2 + l**3*o - 3*l**3 + 2*l**2*o - 738*l - 2 wrt o.\nAnswer: -6378*l**3*o + l**3 + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26835, -107160, -240977, -428286, -669087, -963380?\nAnswer: -1311165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37, -76, -131, -208, -313, -452?\n\"Answer: -g**3 - 2*g**2 - 26*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2442 and 33240516?\nAnswer: 33240515.7558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + i**2 + 5*i**2 + (2 - 2 - 1)*(4*i - 4*i - 4*i**2) + i**2 - i**2 - 2*i**2)*(i + i - 4*i).\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7363468*v**2*x**3 + 2*v**2*x + 2*v**2 + v*x**3 + v*x**2 + 126*x**3 + 3881 wrt v.\nAnswer: -14726936*x**3 + 4*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1520*d**2. Let m(u) = 652*u**2. Let w(q) = -16*m(q) - 7*z(q). Let t(j) = 5*j**2. What is t(w(s))?\nAnswer: 216320*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251 is divided by 227.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 7) to base 5\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - -0.4526.\nAnswer: 23.4526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/382 and -81\/4.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*3\/(-6) - -3. Suppose 11 + 1 = p*l. Suppose 6000 = -l*g - g. What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*w + 3, 6 = 4*q + 2*w - 4. Let f = 25 - 3. What is the least common multiple of f and (0 - -1 - q) + 7?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2014 = 5*v + 2009. What is the closest to 2 in -106, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -14*s**3 - 17*s**2 + 8. Suppose 4*t - 37 = -5. Let f(b) = -3 - 39*b**2 + 13*b**3 + 45*b**2 - t*b**3. What is 3*a(y) + 8*f(y)?\nAnswer: -2*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {h: 3, v: 7, t: 3}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - (420\/(-6) - 0). What are the prime factors of 3\/6 + d\/2?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cujuuuuvvjuuujnuuu. Give prob of sequence vcj.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/d**(-10))\/d)\/(d\/d**(-2\/19)))\/(d**(-1\/4)*d*d*d**(-1\/5)))**(-8) assuming d is positive.\nAnswer: d**(-6342\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*w = -56, 3*w + 119 = -14*p + 19*p. What is the nearest to 1 in p, -1\/2, -4\/75?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 216 + 204 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**7\/1260 + p**6\/144 + 7*p**5\/120 - 29*p**4\/24 + 5*p**2. Let b(s) be the second derivative of z(s). Factor b(a).\nAnswer: -(a + 1)*(2*a - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.15 and 0.03.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*22\/18 - 536\/201. Which is smaller: m or 3\/499?\nAnswer: 3\/499","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**3\/2 + 27*m**2 - 16*m. List the prime factors of f(-13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8017982 to the nearest integer?\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.75 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = -2*z + 3*v, 15 = 2*z + v. Solve 2*a = z*s + 17, -6*s - a = -3*s + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 7*r + 3. Suppose 5*c + 21 - 51 = 0. Let k(o) = o**3 - 6*o**2 + o. Let f be k(c). Determine q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 3*x**2 - 4*x + 1. Suppose -3*b + 3*k = 6, -b - 2*k = -5*k - 2. Calculate t(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 - 8. Let k be n(5). Suppose -b + 48 = k. Solve 2*y = 5*m + b, 2*y = 3 + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 636319, 636283, 636249, 636217, 636187, 636159, 636133?\nAnswer: 636109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -20*u**3 - 5*u**2 + 2*u + 3. What is v(3)?\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/529 - 547\/1058. What is the nearest to -19 in -2\/11, -2\/15, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 21. Let d be r(-8). Let a = d - 13. Put a, 0.3, 7\/3 in increasing order.\nAnswer: a, 0.3, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 - 532122*g + 3192750.\nAnswer: -(g - 6)*(g + 1064250)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1210 - 1209. Put -11, -0.7, o, 3 in decreasing order.\nAnswer: 3, o, -0.7, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 less than 634.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 24 = 16*t, 3*z = -5*t + 96 - 74 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107062088, 107062086, 107062082, 107062076, 107062068, 107062058, 107062046?\n\"Answer: -m**2 + m + 107062088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 1036*j**4 - 541*j**4 - j - 10*j**3 - 116*j**2 - 477*j**4 wrt j?\nAnswer: 432*j - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960*d**2 - 834*d**2 + 1172*d**2.\nAnswer: -622*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 29. Suppose -2*y + 6 + 2 = 0. Let r(c) = 2*c - 4. What is the remainder when v is divided by r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 13*c**2 + 11*c + 5. Let h be 3 - 13 - (0 + 2). What is the tens digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 19*q**6\/27 - 22*q**5\/9 + 17*q**4\/6 - 26*q**3\/27 - 2*q**2\/9 + 191. Let b(c) = 0. What is c?\nAnswer: -2\/19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 513, 11, 5 in ascending order.\nAnswer: 3, 5, 11, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q**3 + 334*q**2 - 330*q + 15334. Calculate n(-85).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13552\/66)\/77*(-1221)\/44?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*j*k**2 - 201962*j*k + 3611184*k**2 - 3*k wrt j?\nAnswer: 51*k**2 - 201962*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (-4 - -3) - -129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 274?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-15) + 24\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2106209\/289404 + -1\/32156. Find the common denominator of 23\/3 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -244 + 463. What is the greatest common factor of f and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*s**2 + 5 + 35*s**2 - 74*s**2 - 5.\nAnswer: -126*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 11160 - 13783. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -4 (c) 71.1 (d) 4 (e) -129 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 507689 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 922 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 2*k + 0*k - 6*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 7*y**3 + 2*y**3)*(-2 + 4 - 1) - 20*y**3 - 67 + 67 + (-45*y + 1683 - 1683)*(y**2 - 2*y + 2*y) + 3*y**3 + y**3 - 2*y - 2*y**3.\nAnswer: -65*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9473071 meters in micrometers?\nAnswer: 947307.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 58 - 55. Sort o, -5, 0 in descending order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1461 or 1\/2?\nAnswer: -0.1461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15122*m**2 + 11005*m**2 - 7408*m**2.\nAnswer: 18719*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 3. Suppose h - 5*a + 170 = 5*h, 0 = -4*h - 3*a + 166. Suppose 0 = 3*n + 2*n - h. Does 29 divide x(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/(c*c**6)*((c\/((c*c*c*c*c**2)\/c))\/c*c)**35 assuming c is positive.\nAnswer: c**(-153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ad1 - 26b?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1012763174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/9229242 and -95\/2517066.\nAnswer: 27687726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5207 divide 579965214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 15*p**2 - 6*p - 12. Give d(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((840\/980)\/((-8)\/413))\/(15\/40)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 1 + 363 + -372?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**2)**(-1\/6)\/((b\/b**(-9)*b)\/(b*b*b*b**3)) assuming b is positive.\nAnswer: b**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -957*j - 594. What is the tens digit of h(-19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 13. Let z be n(4). What is the greatest common factor of z and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d. Let c = d + -3. Let y be 6*(-6)\/(-4) - c. Solve -s - 3 + y = -2*g, 3*s + 3*g = -18 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -705*q**4\/4 - 220*q**3 + 2*q**2 + 2001*q. What is the first derivative of f(l) wrt l?\nAnswer: -4230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11\/3 (b) -57062 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145977102, 291954204, 437931306, 583908408, 729885510, 875862612?\nAnswer: 1021839714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1.5596?\nAnswer: 0.62384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 * -53\nAnswer: -0.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 21886*a - 5242015. What is h(245)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74825445.\nAnswer: 3, 5, 4988363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -13. Suppose 0 = -a + 9 + p. Factor v**3 + 2*v - 24*v**2 + 13*v**2 + a*v**2.\nAnswer: v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38816209 to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546722245?\nAnswer: 3, 5, 61, 113, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 327, 982, 2243, 4308, 7375?\nAnswer: 11642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 + 2*g - 2*g**2 - g**2)*(-4*g + 0*g - 3*g)*(-2 - 2 + 2).\nAnswer: 28*g**3 + 28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -440 - -314434?\nAnswer: 313994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (5 - 4) - -248 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-3)*18\/8. Let u = 28 - i. Suppose -94 = -3*a - u. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 4*r + 4, r = 23*l - 27*l - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 55\/7 of a week?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*y**2 - a**2*y - 16*a*y**3 - 2*y**3 - 254*y wrt y?\nAnswer: 8*a**2 - 96*a*y - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829328*d - 10*d**2 - 13*d**2 + 1658654*d - 2 - 829326*d.\nAnswer: -23*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30341 - -11?\nAnswer: 30352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 15) in base 13?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177684 divided by 10452.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u + 20 = 0. Is 7 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10)*(2 + 3). Suppose 3*d + h*d = 0. Suppose -a = -3, 2*a + d + 6 = 4*j. Solve 2*k - k - j = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24416401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -5)*19\/(-38) + -5. Is b > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1158660 divided by 6\nAnswer: 193110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74511451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -67. Suppose -v + 0*s = -4*s - 12, -v = 3*s - g. What is the lowest common multiple of 12 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 8*o + a + 6, 5*o - 5*a = -20. Sort o, 0.5, -0.4, 2 in decreasing order.\nAnswer: 2, 0.5, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 l when four letters picked without replacement from lllflllllllll.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 63 - 118. Solve 2*f - 6 + 8 = -4*m, 0 = -4*m - 5*f - h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11316 = -p + 5*z, 0*p - 11309 = p + 2*z. Let m = 53510 + p. Let u = -23899 + m. Round u to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/45 + 36\/(-15). Let m(b) = 26*b**2 - 3*b + 2. Let h(w) = 40*w**2 - 3*w + 3. Let c(r) = 2*h(r) - 3*m(r). Give c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 4\/1)\/3*0. Solve -h + 6*h - t = y, 5*t = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*v**2 + 381*v**2 - 780*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21616 (base 9) in base 12?\nAnswer: 8380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -58, -73, -88, -103, -118, -133?\n\"Answer: -15*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 2.177?\nAnswer: -7.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 2:56 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 334*a**3 - 10. Let n(f) = 67*f**3 - 2. Give 14*n(i) - 3*y(i).\nAnswer: -64*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 - -125. Let l = -28.534 + 0.334. Let y = g + l. Is y < -6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.041\nAnswer: -0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(7\/3)\/l*l*l**(-3\/8))\/((l*(l*l**(-6\/5)*l)\/l)\/(l\/(l**(-4\/9)\/l*l*l))))**(-44))**31 assuming l is positive.\nAnswer: l**(-196757\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 24 = -0*s - s, 4*x - 36 = 2*s. Let k = x - 5. Suppose -k*d - 4*d = -138. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(1\/6). Let i be ((-12)\/24)\/(2\/(-16)). Suppose j*q - i = -0. Solve 3*u + 6 = -q*b + 5*u, 0 = -3*b + u - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -247*q**3 - q**2 + 2. Let s be f(-1). Suppose -24*z + 1088 = 344. What is the highest common factor of s and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 4. Suppose 2*p - 3*d + 52 = 7*p, -5*p = 2*d - 48. Let q be a(p). Solve 3*g + q*r + 23 = -0*g, -4*g = -3*r - 11 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -i - i. Calculate the smallest common multiple of 6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/62216 and 17\/1056.\nAnswer: 746592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 9, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (123\/1722)\/(2\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2 - -6) + -18 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 707958079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -56, -123, -226, -371, -564, -811, -1118?\n\"Answer: -u**3 - 9*u**2 - 3*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 0*l - 5*l + 4*l + 0 as f*l + j and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o - 39*o - o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -955*c + 479*c - 2 + 254*c in the form o + m*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -65*s + 1372. Let i be q(21). Solve -3*p + 10 = h - i, 2*h + p - 14 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + 0.8. Let v be 15\/(-18) - (42\/441 + 99\/(-84)). Which is the nearest to m? (a) v (b) 1\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.2 (c) 4 (d) -264.749\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, c: 6, s: 1, e: 2, d: 3, p: 2}. Give prob of sequence ccd.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 f when four letters picked without replacement from jlwkwff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 927947708 to the nearest integer?\nAnswer: 30462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00567199 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 1. Let u be b(-2). Let k = u - -2. Let h be ((-8)\/(-10))\/((-2)\/(-5)). Solve h*m = -k*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c975 (base 13) to base 12\nAnswer: -2887a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 56?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*j = -3, -12*a + 17*a - 2*j + 33 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 - 31*h**2 + 21*h + 11. Let l be 2*(1\/((-7)\/(-7)))\/(-1). Let y(x) = x**3 - 6*x**2 + 4*x + 2. Give l*a(d) + 11*y(d).\nAnswer: d**3 - 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3764, 5671, 7584, 9503, 11428, 13359, 15296?\n\"Answer: 3*p**2 + 1898*p + 1863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(108) + sqrt(108) + 1))**2.\nAnswer: 96*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 24.96. Is 0.1 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 0*2\/4. Suppose 5*t - 4*f = 14, a*t = 5*f - 10 + 2. Let c(g) be the first derivative of -3*g**2\/2 + 2*g - 284. Determine c(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 3*w + 3. Suppose g = 2 + w. Suppose p + 6*m - 6 = m, g*m = 5*p - 114. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2340 and 390?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 67. Suppose u = -19*z + 23*z + 16. Let r be (-6326)\/z - 12\/8. Round r to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/4 + 3*j**3 + 9*j**2\/2 - 4*j + 2. Let v be y(-8). Let h be (-1)\/(-3) + (-20)\/v. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -75, 0.02, 3, -4\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, m: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13370, 3, -1, 1, 4, -2 in decreasing order.\nAnswer: 13370, 4, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6*s**2 + 3*s**2 - s**3 + 2*s**2 - 3 in the form m*s**3 + f + t*s**2 + q*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1368 and -0.56?\nAnswer: 766.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 36 + 4*v**2 - 311*v - 11.\nAnswer: 4*v**2 - 311*v + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(448) + (sqrt(252) + -1 - sqrt(252)) + sqrt(252) + (sqrt(1008) + -1)*3)**2*-5 + 5.\nAnswer: -87575 + 2000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 2. Suppose -32*c - 201 = 29*c + 6*c. Let s(f) = 2*f - 1. Calculate c*l(z) - 7*s(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3974*p**2 + 3960*p**2 + 3964*p**2 - 11900*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 1. Let r(b) = 127*b + 2. Let o(u) = 2*c(u) + r(u). Let d(w) = w. Determine d(o(n)).\nAnswer: 129*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23489 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**8\/280 - x**6\/360 + x**3\/3 - 1. Let m(j) be the third derivative of d(j). Find the third derivative of m(p) wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3431010 + -342421?\nAnswer: -4323431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6032999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.52 + 20. Is 0.1 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 75 (b) -9 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/((-9)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-15)\/40*-4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -11*w**6\/120 - w**5\/60 + w**4\/8 + w**3\/6 - 4*w**2. Let g(q) = q**3 - q. Let r(u) = -3*g(u) - x(u). What is r(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/9 and 94\/55434687?\nAnswer: 166304061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(3*y**3 + y**3 - 8*y**3)*(2 - 1 + 1) + y**3 - y**3 - 2*y**3.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*l - 45 = -0*u, 0 = -u - 4*l + 9. Solve 3*x = u, -4*o - 5*x = -x - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136433 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 111*m**2 - 4*m + 105. Is n(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 4*l + (1 - 3 + 4)*(2*l - l + 0*l))*(-6119 + 1864*l - 6119 + 12240 + l**4).\nAnswer: 3*l**5 + 5592*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 7 + (-6 - -4) + 15 + -13\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)\/(s*s\/s**(-6))*(s**(-1))**(-8\/3) assuming s is positive.\nAnswer: s**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + sqrt(112)*-2 + sqrt(112) + 1 + 5 + sqrt(112) + 1 + (sqrt(112) + 0 + sqrt(112) + -2)*-3)**2.\nAnswer: -1728*sqrt(7) + 16452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193*c**4 - 51239*c**3*g**2 + 4*c - 2*g**2 + 124*g + 1163 wrt c?\nAnswer: 2316*c**2 - 307434*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m*m\/m**(-3\/5))\/(m\/(m\/m**(2\/9))*m*m**(-2\/25)) assuming m is positive.\nAnswer: m**(103\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 16*r - 16*r = 2*r. Solve r = -3*u + 5*q - 8, -2 = q - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/16 + 3503\/8 - -1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 8*x - 4. What is l(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from dksukdnn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 48*b**2 - 5*b + 19. Is i(53) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, 0 in descending order.\nAnswer: 0, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/28 - (-24)\/14. Let y be -2*(z - (4 + -1)). Solve 0 = -y*w - 8*n + 3*n + 25, 25 = 5*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6132*x + 2*x**3 - 6132*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 97. Let l be t(10). Let z(a) = 2*a**2 - 3*a. Let s(y) = y**3 + y**2 - 4*y. What is l*s(q) + 4*z(q)?\nAnswer: -3*q**3 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -35. Let i = -6 + m. Solve 2*b - 5 = -i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 0.056816\nAnswer: -11.056816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-6)*(-6)\/4. Suppose -5*p + a = -3. Let u be (4\/(-6))\/(2\/(-12)). What is the greatest common divisor of p and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkrgcggppspgpck. What is prob of picking 1 k and 1 r?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 16119 = -5*v, 6*o - 6466 = -2*v + o. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/11*h**5 + 0 + 0*h**2 - 40\/11*h**3 + 0*h - 14\/11*h**4 = 0.\nAnswer: -10, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 178 + 70. Let c be ((-150)\/(-4))\/1 + (-9)\/h. Suppose 39*y = c*y + 111. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3 - 55*z**2\/2 - 61*z + 75\/2 = 0.\nAnswer: -25, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 15 - 24. Suppose -7 = -i*w - 5*v + 4, w - 3*v = 13. What is the lowest common multiple of 20 and (8\/6)\/(w\/63)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6438 and 9102.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 3*c + 35. Let y be q(-24). Calculate the highest common divisor of y and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 16*v**2 + 3*v + 51. Suppose 2*x + 5*n = -7, 190*n - 193*n - 65 = 5*x. What is h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486379122 is divided by 1529.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) + (-4)\/(-9). Let u = 5 - 4.5. What is the closest to 0 in -2, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s**5 - 74*s**4 + 2*s**3 + 4*s**2 = 0.\nAnswer: -1, -1\/4, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 312523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 3*m + 6. Let a be q(-5). Let t(b) = -b**3 + 15*b**2 + 23*b - 102. Let j be t(a). Solve 5*x = -3*w + 29, -10 - j = -5*x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17940 greater than 17934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2032376.1 + 11053283\nAnswer: 9020906.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3291*p + 12083. What is d(3)?\nAnswer: 2210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49\/116 - -5\/29. Let b be 13\/(-6) - 12\/(-8). What is the nearest to b in x, 0.7, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 - 11100\/(-105). Let h = s - 106. What is the common denominator of h and 4\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4912900*z**5 + 4322933*z**2 wrt z?\nAnswer: 294774000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185697 and 423.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:05 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -234*i + 236*i - 32. Suppose 0 = 4*q - i, 6*q - 3*q = -r + 590. Calculate the smallest common multiple of 22 and r.\nAnswer: 6358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 0, -11, -131 in increasing order.\nAnswer: -131, -11, 0, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.185 + -0.105. Let u = -0.99 + k. Let o = 1.8 + u. Round o to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 25*g**2 - 3*g + 77. Let m be y(25). Factor 10\/9*u**m + 4\/9*u + 0.\nAnswer: 2*u*(5*u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*sqrt(171) - (1*sqrt(171) - sqrt(171))*-4) + -3*-1*2*sqrt(171))**2.\nAnswer: 96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9126919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let s = -4 - n. Let g = -161\/2 - -78. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.352 - 22.052. Which is the nearest to 1? (a) 0.5 (b) 1.6 (c) i (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 plus 617349?\nAnswer: 617276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 23929563?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165569933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86849 and 2641?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -42 + -43 + -9 + 99\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4094327871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 48*z - 274 = -4*q + 924, 6*z = -2*q + 160 + 36 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 8, -3*x + 5*q = 4*q - 1838. Suppose 7*u + x = 2131. What are the prime factors of u?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -4 + 3 - 1. Which is smaller: r or 2\/115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*r + 40071 - 40071 + 2135*r.\nAnswer: 1670*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**6\/i)\/i)\/i**4 assuming i is positive.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001217 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -316) + (-3 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 6*v - 84. Solve -3*c = -2*o - 11, 2*c - v = -3*o - c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67458495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*38\/19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from myyyyyysyymys.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*u + 44359 = 36048 - 57029. Let p be (11\/3)\/(3\/(-9)). Let a be ((-17)\/3)\/(p\/u). Calculate the highest common factor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.9 - 15.2. Sort 2\/21, w, 0.8 in descending order.\nAnswer: 0.8, 2\/21, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13726 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*r + r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-220)\/(-4) - 1) + 3\/3. Let i be 2*c\/(-30)*-3. Calculate the greatest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 9 = g. Suppose 16*v - 20*v + h = -28, 0 = 5*v - h - 36. Solve 0 = -b - g + v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 8:58 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/(-10)*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 0*y**2 + 19\/3*y**3 + 3*y + 57\/4*y**4 + 65. What is the third derivative of t(z) wrt z?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*((4 - 1) + -160). Suppose 0 = -5*w - 3*y + b, -2*y - 2 + 0 = 0. Suppose 6*g + 0 - 96 = 0. What is the greatest common divisor of g and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10604055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16796829 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(171) + 0 + 5*(sqrt(19) - (sqrt(19)*3 + -2 + sqrt(19))).\nAnswer: -6*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/(((-1056)\/(-20))\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 2548.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 11001?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8555 + -8555. Let 0 + 0*g**3 - 2\/5*g**2 + 2\/5*g**4 + f*g = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**3 - 604*h**2 - 23212*h - 101460 = 0.\nAnswer: -89, -57, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 - 100 - (5 + -16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/7 - 17\/42. Let k = -92 - -87. Which is the second biggest value? (a) j (b) -40 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 4*v**2 - 2*v - 10. Let q be ((-12)\/10)\/((-51)\/30 - -2). Let j be m(q). Let b be (2 - (-3)\/j)*(-20)\/(-5). Solve -g - 5 = -b*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 1, s: 9, r: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 - -790. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 32*d**3\/3 - 177. Let v(w) = -7*w**2. Calculate t(v(p)).\nAnswer: 1568*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-76)*686*10\/35?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11491\/8262 - -98\/243. What is the common denominator of a and -63\/2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 1. Suppose -1 = h, 3*y - 2 = -5*h - 4. Suppose 0*p - 1 = -l + p, y = l + p. Give d(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2027 + 43*z**3 - 2027 - 141*z**3 + 47*z**3 + 50*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/7, 88, 3 in descending order.\nAnswer: 88, 3, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -2. Let v be (-36)\/48 - (-38)\/40. Let g be 4*((-2)\/(-4) + 0). Which is the closest to g? (a) v (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(18)\/(sqrt(6)*2) + sqrt(27)\/(sqrt(9) + -1*sqrt(144) - sqrt(9)).\nAnswer: -7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 4*l**2 - 116*l + 12. What is h(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r - 113411 = -498935. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**2\/y)\/y)**(-17))**(20\/3) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -10*a**5\/11 + 5458*a**4\/11 - 508614*a**3\/11 - 68937282*a**2\/11 = 0?\nAnswer: -361\/5, 0, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 973361 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93749.1 and -0.0799.\nAnswer: -7490.55309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*l + 4, -s + 0*l - 6 = -5*l. Suppose -s*z + 5*m = 3*m + 3598, 2691 = -3*z + 4*m. What is z rounded to the nearest 10?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 2 (c) 0.08 (d) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*q - 71 = 0, -d - 4*q + 8*q = -17. What is the highest common factor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(-45))\/((-33)\/(-495)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - 13.74. Round k to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 693*d**2 - 12*d + 20. Is x(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18 or 343167?\nAnswer: 343167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1.7202.\nAnswer: -8.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.918 - -0.282. Let p = 29 - x. Is p less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - b - 65 = -18, -f = -4*b + 37. Let a be f - (-1 + 4)\/3. Let l be (-14)\/91 + (-4)\/a. Solve -3*h + 0*h - 15 = l, t - 8 = h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*28*(-196)\/(-1372).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 1 y when three letters picked without replacement from {y: 3, k: 4, t: 6, l: 2}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/13)\/k**13)\/(((k**(-2\/15)*k)\/k)\/k**(-13\/4)))**(-2\/15) assuming k is positive.\nAnswer: k**(12691\/5850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 3:57 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -25\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 23868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*o - 16. Suppose f - 5*u = 999995, -3*u + 8*u = o*f - 1999995. Round f to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 - 19\/(19\/8). Suppose 0 = 6*u - 3*u - 81. Let p = u + r. Calculate the remainder when 112 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2773 = 22*j - 154*j, 5*d + 17*j - 58 = 20*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/740 and 17\/60.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23653, 50912, 81773, 116236, 154301, 195968?\nAnswer: 241237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5329 divided by 73\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*m - 37*m + 120. Calculate the remainder when 26 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -66. Let x = c + -19. Let s(y) = -10*y**2 + 12. Let m(l) = -4*l**2 + 5. Determine x*m(d) - 5*s(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -q + 8*q. Let t(v) = -v**2 + 0*v**2 + 5*v + 4*v. Let s(r) = r - r + r + 0. What is q*s(m) - 2*t(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*k, 56 = -3*k + 8*r + 41. Put 1, k, -5, -62, 2 in decreasing order.\nAnswer: k, 2, 1, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-3 - -4)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 96 = -3*s. Let u(c) = 25*c - 123. Let g be u(5). Suppose y - 2*y - 1 = 0, 4*i - g*y - 54 = 0. Calculate the remainder when s is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2026269 by 10721.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**4*t*v - 3*l**3*t*v - 3*l**3*t - 5*l**2 + 90*l*t*v + 2*l*t - 2*v wrt l.\nAnswer: 120*l*t*v - 18*t*v - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b + 74. What is v(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*sqrt(153)*2 + sqrt(153) - -3*sqrt(153)*-3))\/(5*-3*(1*sqrt(576) + sqrt(576))*1).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*2*(-3)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 0.3, 2\/11, 91, -5, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/56*-4*(273\/2)\/(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 7. Let n = -1 - i. Suppose -2*h - 76 = -n*s + 3*h, 3*s - 3*h = 96. What is the highest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 - 8*n**2 + 0*n**3 + 2*n**3 to u*n**2 + g + s*n**3 + o*n and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 552?\nAnswer: 40296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -r + 2*b + 29, -24 = -r + 4*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 28, 56, 86, 118, 152, 188?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 1002784*x\/3 - 14039368\/3.\nAnswer: 2*(x - 14)*(x + 501406)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/60 + 5*a**4\/12 + 4*a**3\/3 - 10*a**2. What is the remainder when 20 is divided by i(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34437 + 3?\nAnswer: -34434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-3) + (-14)\/21. Let c(m) = -16*m**2 - 11*m + 11. Let s(w) = 4 - 1 - 1 - 2*w - 3*w**2. What is i*c(y) - 11*s(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67138 and 8.\nAnswer: 268552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/15 + (-2300)\/1725.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -344?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162002594*g**2 - 101847467*g.\nAnswer: -324005188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - -4) + -6 - (-1456 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052773 divided by 6?\nAnswer: -1052773\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -12. Let b = -28 - -13. Let n = b + 10. Put g, n, -6 in increasing order.\nAnswer: -6, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422301, -844580, -1266859, -1689138, -2111417?\nAnswer: -2533696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 16. Let t = 1.6 - 2.8. Let m = t + 1. What is the closest to m in -2, 3\/7, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*(-132)\/22. Suppose q = -6*t - 14. Let h = 11 + t. Calculate the highest common divisor of 64 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -310.8 and 4.\nAnswer: -1243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -94\/3? (a) 551\/24 (b) -5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -571302 (base 8) to base 4\nAnswer: -233023002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28497 + 4?\nAnswer: 2849b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.094073 to 4 dps.\nAnswer: -0.0941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.7 + 18.7. Sort 5, -0.04, g in ascending order.\nAnswer: -0.04, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/11 and -59\/1183?\nAnswer: 13013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44179129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*n**4*p + 707*n*p - 2*n - 2*p - 16732 wrt n?\nAnswer: -16*n**3*p + 707*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 88 + bc3c?\nAnswer: bcc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9436, 18857, 28278, 37699, 47120?\nAnswer: 56541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(7*(-2)\/((-126)\/81)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 6*s**2 + 3. Let j be (3 + 1)\/(4\/3). Let y(h) = h**3 + 5*h**2 + 2. Let b(u) = j*y(u) - 2*a(u). Suppose b(q) = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1092)\/936*(-21)\/(-245).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 1065900082?\nAnswer: 10659000820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*g**2\/5 - 13699562*g + 10538124\/5.\nAnswer: 2*(g - 2634531)*(13*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106\/29 in -0.4, -1\/215, -3\/4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -2418.65634214.\nAnswer: -2426.65634214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001593 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 160048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35126781, 70253562, 105380349, 140507148, 175633965, 210760806, 245887677?\n\"Answer: c**3 - 3*c**2 + 35126783*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9794 - -9797. Which is the closest to 1? (a) 0.4 (b) 1.07 (c) 0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqxsshiqlsq. Give prob of picking 1 h and 1 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 20 = -5*l. Solve j = -4*j + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527 (base 15) to base 14.\nAnswer: 5d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 169 + 12 = 1 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(-4)\/12*(-6152)\/150724?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 9 = 3*a, -25 = 2*v + 5*a. Let r(s) be the first derivative of s**2\/2 + 6*s + 3. What is r(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/31988 and 111\/254450.\nAnswer: 5597900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -279 - -5331\/19. Is 3 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.066.\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, f: 16}. What is prob of sequence ff?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 - 2*z - 6. Let h = -5 + 1. What is p(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 5 - 5 + 0*h + h - 3*h + (2 - 4 + 0)*(2 - 2*h - 2))*(-9*h**2 + 5 - 5) to the form m*h**2 + b + q*h + i*h**3 and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/4 + 1*3. Let n(v) = -7*v + 14. Let k be n(-10). Suppose 4*h - 4*g - k = 0, 5*h - 79 = -g + 50. Solve 0 = 5*m + i - h, 0*m - 5*m + b*i = 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1658 - 1653. Let y(w) be the first derivative of 25\/2*w**2 + 10 - 35\/3*w**3 - l*w + 15\/4*w**4. Find f such that y(f) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 + 17 - (3 - -10)) + -51\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/126)\/(18\/21) + 3\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 3*u**2 + 7*u + 12. Let m be q(-2). Suppose m*v = 30 + 388. List the prime factors of v.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/2 - 2373*r**3\/2 - 39504*r**2.\nAnswer: 3*r**2*(r - 823)*(r + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 29.96. Let q = u + 0.0404. What is q rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -23*d + 16*d. Suppose -11*h = 6*h - d. Solve 0 = -h*f + 9*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218.\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 809170 + 0?\nAnswer: 809170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 43 + 73 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2696047 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 7*z**2 + 0*z**2)*(-3 - 3 + 3)*(-3*z + 0*z + 5*z + (4 - 7 + 1)*(3*z + 0*z - z)).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370515.\nAnswer: 3, 5, 17, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -9, 82, -5, 64, 2 in decreasing order.\nAnswer: 82, 64, 2, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*(3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:29 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 9:26 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 4, 4*g = -5*z + 51 - 34 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8474 divided by -80\nAnswer: -4237\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1005 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 891691 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 124 + -533?\nAnswer: -40f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3150515744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 24 = 8. Suppose 0 = -5*o - h + 24. Is 1867*o\/(2 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16615 - -8629. Let f = -3545 - i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 331324 - 155?\nAnswer: 331136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -159.\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 144*l + 2710. Give s(-53).\nAnswer: -4922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 7. Let g be t(3). Find the third derivative of 6*j**2 - 8*j**5 - 9*j**2 + g*j**2 wrt j.\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by 15.\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -27*u - 93. Let i be s(-2). Which is the smallest value? (a) i (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0044 + 21.8956. Let u = l + -22. Which is the nearest to 0? (a) -37 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**3 - 9*x**2 - 326*x + 3. Let b(p) = 4*p**3 + 6*p**2 + 325*p - 2. Calculate 3*b(k) + 2*t(k).\nAnswer: 2*k**3 + 323*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2 + 31*x + 3. Let t(k) = -2*k**2 - 31*k. Let o(m) = -2*j(m) - 2*t(m). Let n(v) = 0 + 0 + 5*v - 7*v. What is o(n(r))?\nAnswer: 40*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 40 = 11. Let t(x) = x**3 - 4*x - 3. Let p be t(-2). Let n = p - y. What is the remainder when 40 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 0)*((-1744)\/192 - -9). What is the closest to -0.1 in -0.12, v, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89\/18 + 493\/36. Let y = o + 49\/12. What is the common denominator of 31\/14 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 11:20 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115059*o - 56*o**2 + 1 - 115042*o + 230101*o.\nAnswer: -56*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 2815*a - 2810*a + 29, -9*a = 3*g - 93 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 + (6\/45 - 51\/45) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1943*l**3 - 15 + 0*l + 1941*l**3 - 4*l + 15.\nAnswer: -2*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95039, 190080, 285119, 380156, 475191, 570224?\nAnswer: 665255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120112 + -2102?\nAnswer: 10111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8761.\nAnswer: 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21051883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 8*f**2 + 20*f.\nAnswer: -f*(f - 2)*(f + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) - (sqrt(76) + (-2*sqrt(76))**2 + 3).\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/(87\/(-29)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 3*z**2 + 3*z - 4. Let f be j(-5). Let r = f + -21. Find the second derivative of -r*h**5 + 76*h**3 - 2*h - 76*h**3 wrt h.\nAnswer: -200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*y - 294344, -21*y = -20*y - 3*h - 73576. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.964155 minutes in nanoseconds?\nAnswer: 357849300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 7*q**2 + 2*q**4 - 3 - 4*q**2 as n*q**2 + u*q**3 + r + p*q**4 + c*q and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 0.31.\nAnswer: -2.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/10 - (-4)\/(120\/(-18)). Solve 0*y = -2*y - 5*a - 19, g*a = -15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 111983585?\nAnswer: 111983584.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*q**5 - 3696*q**4 + 50618*q**3 - 101238*q**2 + 29596*q - 2352 = 0.\nAnswer: 1\/6, 2, 21, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 0*x + 3*x - 7 - 2*x + x. Suppose -4*g = 2*u, 2*u - g - 2 = -4*g. Suppose -u*s = -11 - 13. Calculate q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-28) + 0 + (-374619)\/(-49). Suppose -5*g - 6*g = -h. What are the prime factors of g?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38 and 4079920881420.\nAnswer: 4079920881458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 21. Let c(k) = -k**2 - 10*k. Let b be c(w). Which is bigger: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*d + 173*d + 338*d.\nAnswer: 678*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3\/7, -0.4, 1\/962?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Let i(w) = -4*w**2 - w**2 + 7*w**2 - 3*w**2 + 12 + 7*w. Let r(n) = -i(n) - 6*q(n). What is the units digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:47 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -334.5 - -335. Let r = 1.8 - -0.2. Which is the second smallest value? (a) r (b) u (c) -1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67110, 67295, 67478, 67659, 67838, 68015?\nAnswer: 68190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1650 and -221\/1203300.\nAnswer: 13236300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -12 + (5 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 935205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 45, -13 in descending order.\nAnswer: 45, 1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 633.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6584 - 6588. Sort n, 3, -3, 17, -2.\nAnswer: n, -3, -2, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 15 = 3*j - 18, -l + 3 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -3*g - 8. Suppose g*z + 3*d = -0*d + 18, -3*d + 21 = 3*z. Let j be (1*8)\/1*(-19 + 1980\/96). Solve 5*h = -3*v + j, 0 = z*h + 2*v - 5*v - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -36. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2 + 39\/18). Let l(d) = d**4 - d**2 + d. Let m(y) = 6*y**4 - 7*y**3 + 6*y - 2. Let k(v) = u*l(v) + 2*m(v). Find w, given that k(w) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 17*m = 19*m - 18, 4*m - 15 = -5*t. Solve -x - c - t = 0, -3*c + c = -x + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/90 + 768454\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1204.8995 to the nearest integer.\nAnswer: -1205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29684388.\nAnswer: 2, 3, 467, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 144, 187, 260, 363, 496, 659, 852?\n\"Answer: 15*x**2 - 2*x + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7759932us?\nAnswer: 775.9932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1054 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 7*w**6\/90 - 19*w**5\/15 - 7*w**4\/3 - w + 15. Let t(f) be the third derivative of q(f). What is the derivative of t(m) wrt m?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -13 - 17. Let h be -4 - z\/3*6. Let v(t) = h - 26 - 2*t. Let k(w) = 12*w**2. Give k(v(o)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.4743 + -6.5743. Suppose -4*g - 6 = 6. Which is the closest to 0? (a) -2 (b) 2\/3 (c) x (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 1 - 3 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 3\/7, 1, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + 4. Calculate the remainder when k is divided by 3 + ((-44)\/4)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540482629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/5, 4, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cylnu. What is prob of sequence yn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 5) + 1 + 0 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 4*q - 7*q + 2*q as a + n*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 163133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f - 12 = 0. Let x be f + -3 + 4*1. Let s = -11 + 7. Put 4, s, x in increasing order.\nAnswer: s, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945 is divided by 313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -1)*3\/(-2). Suppose -7*k + 10*k = 0. Suppose k*q = q - u. Solve -4 = b + q*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000736629592 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-1 + sqrt(168) + sqrt(168))\/sqrt(7))\/((-4*sqrt(132))\/sqrt(11) - sqrt(12)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*d = -2*d + 74, -5*l + 5*d = -95. What is the remainder when 50 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*z + 625, 0 = -r + 2 - 1. Let q = z + 614\/3. Which is greater: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 - 3 - (-1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(16) - (sqrt(80)*1)\/sqrt(5)))\/sqrt(8) + sqrt(2)*1 + sqrt(2) + 2 + sqrt(72)*2.\nAnswer: 2 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1757, 7139, 16071, 28523, 44465?\n\"Answer: -5*u**3 + 1805*u**2 + 2*u - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1557\/(-618) - -4 - (-12 - 351\/(-26))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58604 and 7124.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738665.42902 + 144?\nAnswer: 1738809.42902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 0*t + 4*t)*(-69 - 43 - 19)*(-3*t + 0 + 0) to r + c*t + a*t**2 and give a.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 142*s + 23 - 62 - 15 + 8*s**3 - 38*s - 50. Let p(l) = l - 1. What is -624*p(r) + 6*v(r)?\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 2. Let t be o(-1). Let c = -136\/195 + 2\/65. What is the nearest to c in t, 4\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 - 969759*k\/5.\nAnswer: -3*k*(k + 323253)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83340.\nAnswer: 2, 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y**2 - 14*y - 21*y + 32*y + 0*y**2.\nAnswer: -11*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-16))\/((-3)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -309.3 (c) -241\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*g - 108. Suppose -g = 7*s - 9*s. Let f(r) = 13*r - 3*r - s - r - 3*r. Let x(o) = 2*o - 3. Determine -3*f(i) + 8*x(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6778 and 36496?\nAnswer: 43274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffkekpfvhke. What is prob of sequence kfh?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 7:04 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -4\/254113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3473\/2418 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72\/19, -2\/11, 0 in descending order.\nAnswer: 0, -2\/11, -72\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1414 + -1414.2. What is the smallest value in 42\/5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*j + 77 = -4*j + 498 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 742705 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 3*f**2 - 2*f - 4. Let v = -13 + 10. Let w be y(v). Let q(b) = -b + 1. Let j be q(-3). Sort j, w, -3 in increasing order.\nAnswer: -3, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 1299*g**3 + 88 + 17 - 2*g - 1297*g**3 as t + i*g**2 + f*g**3 + o*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1190 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 + -25)\/26*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 3402005070?\nAnswer: -3402005069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(-10101 + 10098 - 86*d - 1132*d) to the form i*d + x and give i.\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*o - 9510 = -575*o for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4449aa4 (base 11) in base 8?\nAnswer: 35606713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(-7)\/(-14) - ((-24)\/3206)\/((-159)\/212583)?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3686 and 9312.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-2 - (20\/45 - 837936\/162)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-20) + (876\/5)\/6. Solve 5*p = -4*v + 5*v - 23, -5*p - u = -3*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/((-3)\/4). Let p = 4 - 4. Factor p + 1\/4*i**x + 0*i.\nAnswer: i**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) -5 (b) -59\/3 (c) -0.4 (d) -2\/13 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/(-6))\/(5344\/1670). Let m(y) be the third derivative of -125\/6*y**3 + 0 + 0*y - c*y**4 + 35*y**2 - 1\/12*y**5. Factor m(p).\nAnswer: -5*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30\/13 + 103\/39. Let j = -4.6 - 46.4. Let d = j + 49. What is the nearest to 0.1 in d, -15, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 76a5?\nAnswer: 76aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.2. Let h = 3.13 + -167.13. Let p = -164.4 - h. What is the smallest value in 0.4, 4, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27247.5356 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 36.332 (b) 21 (c) 9\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -3) + (-5 - -5). Let m(b) = -7*b**2 - 8*b - 4. Let z(g) = -12*g**2 - 14*g - 7. Let t(n) = v*z(n) + 7*m(n). Let j(o) = -29*o + 2. Give t(j(d)).\nAnswer: -841*d**2 + 116*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-11 - -2 - -4 - 20 - (8 - 0))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from txemteewe?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 49*a - 6 + 1 - 46*a to q + n*a and give n.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4\/2 + 2031*n**3\/2 - 350691*n**2\/2 + 2320545*n\/2 + 3030075 = 0.\nAnswer: -2, 9, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36293832847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/6)\/((-8662)\/(-2886) + -3). Suppose 7*w - 3*w = b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04397964 rounded to five decimal places?\nAnswer: -0.04398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + j - 3564 = 0, 0 = 2*v - 2*j + 6*j + 1800. Does 15 divide (-1)\/3 + v\/6*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(77) + -6*(sqrt(77) - (sqrt(77)*2 + sqrt(77))) - sqrt(77))\/sqrt(7) - ((-1*sqrt(121))\/sqrt(11)*-3)**2*3.\nAnswer: -292 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118b8 (base 12) in base 4?\nAnswer: 11303030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 25452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -46*c. Let g(i) be the second derivative of i**4\/24 - 47*i**2 + 72*i. Let p(o) be the first derivative of g(o). Calculate s(p(t)).\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3743 - -4097. What is the highest common factor of 120 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12818 - -1268965\/99. What is the common denominator of l and 1\/14*76\/2?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 4784*b**2 - 28642*b - 23860.\nAnswer: -2*(b + 1)*(b + 5)*(b + 2386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 64 + 6*m**3 + 74 - 134 - 2*m**2 in the form f*m**2 + x + y*m**3 + l*m and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)*y\/(y**(2\/69)\/y*y))\/(y*y*y**(3\/8)*y*(y**(-3)*y)\/y) assuming y is positive.\nAnswer: y**(-5191\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 3, k: 1}. What is prob of sequence sbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.5? (a) -47 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -2*v**2 + 3*v + 33. Suppose -50 = 4*h + h - 5*x, 2*h + 23 = 5*x. List the prime factors of a(h).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -5. Let s be 2\/14 + 1504\/56. Let r = f + s. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1144636 and -11\/542196?\nAnswer: 10301724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113033223 - -10?\nAnswer: 113033233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -46. Factor -10*s + s**2 + s**2 - 4*s**2 - o - 3*s**2.\nAnswer: -5*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371628 and 3148794?\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/5)\/t*t)**(-30)\/(t\/(t**0\/t)*t*((t*t**(1\/3))\/t)\/t*t)*((((t**(4\/7)\/t)\/t*t*t)\/t)\/(t\/(t*t**8)*t))**49 assuming t is positive.\nAnswer: t**(902\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 834572413051 - 834571729323.000006. Let y = q + -683735. Let s = y + 7. Round s to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 315 + -318. What is the second biggest value in t, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**4 + 4*i**3 - 7*i**2 + i - 5. Let c(n) = n**4 - 2*n**3 + 3*n**2 + 2. Let y(w) = -5*c(w) - 2*t(w). Factor y(l).\nAnswer: l*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 - 2268*r**3 + 556917*r**2 - 550118*r - 1109304 = 0.\nAnswer: -1, 2, 279, 1988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4 - 20. Suppose 0 = i*m - 2*g - 10, m - 2*g + 5 = -0*g. Suppose 3*z + m = 4*z. What is the lowest common multiple of z and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 - 35*q**2 + 202*q - 104. Give x(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7420*q**2 + 7426*q + 4. Let d(b) = -b**2 - 6*b - 2. Let c(j) = 3*d(j) + m(j). Find the second derivative of c(k) wrt k.\nAnswer: 14834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**4\/4 + 3*j**3 - 7*j**2\/2 - 11*j - 7. Calculate x(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 13) in base 14?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - (17 + -34 + -2 - -36)) + 10 + 0?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 13 = -5*d + 3*v, 33 = 25*d + v - 3*v + 85 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.01 in -5, 3, -0.5, 115?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -17. Suppose t = -4*n - 2785 - 2735. What is n rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -43. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -95*l**3 + 23*l**2 - l - 3849 wrt l.\nAnswer: -285*l**2 + 46*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 871076 bigger than 871077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + (-10 + (0 + 10 - (33 - 18)) - -6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.040698 + -0.0407013497. What is k rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475 and 10201575.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(35\/240)*(-3)\/6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1702 * -0.4.\nAnswer: 0.06808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -3, -2, 1, -1151, -4 in increasing order.\nAnswer: -1151, -12, -4, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbabinn. Give prob of picking 2 n and 2 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.487 and -0.337.\nAnswer: 1.512119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -19, -31, -45?\n\"Answer: -q**2 - 7*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 5:21 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)\/(n*n\/(n**(2\/17)*n)))\/(n**(2\/5)*n\/((n\/n**(2\/9))\/n)))\/(((n**(-1\/5)\/n*n)\/n**(2\/7))\/(n**(-1)*n**(1\/8))) assuming n is positive.\nAnswer: n**(-338173\/42840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01133 and -9?\nAnswer: -0.10197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 - (-1 - (5 + 2)). Let n be (8\/(-6))\/4*-15. Suppose 4*w = -3*l + 9, -l - 3 = w - n. What is the highest common factor of w and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (3 + -3)) + 2 + -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 8 + 2)*(2*h**3 + 5*h**3 - 4*h**3) as m*h**2 + l*h + w + n*h**3 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -285\/1933?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3402*j**5 + 627*j - 2.\nAnswer: -68040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)**6*c**(4\/7)*c**22 assuming c is positive.\nAnswer: c**(158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24445, -87985, -190619, -332347, -513169?\nAnswer: -733085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589350500?\nAnswer: 2, 5, 1178701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153)\/(2*sqrt(3)))\/(sqrt(600)\/sqrt(8)))**2.\nAnswer: 68\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-492 - -514).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 1910744*m\/9 + 1273832\/3.\nAnswer: -2*(m - 2)*(m + 955374)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/18*(8\/(-10) - (-4752)\/6345)?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -26. Let f = i - -27. Suppose -m - 2*a + f = 0, -4*a - 13 = -m - 0*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (9 - (2 + -10)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0 (c) -0.1 (d) 10 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 (base 10) in base 4?\nAnswer: -13123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82596 divided by 2.\nAnswer: -41298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78609464 and 17720?\nAnswer: 393047320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 43 - (-35 - -79)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, h: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/19)\/j)\/j)\/((j\/((j*j\/j**13)\/j)*j)\/j))\/((j**16*j)\/(j*(j\/(j*(j*(((j*j*(j*j**(2\/41)*j)\/j)\/j)\/j)\/j*j*j)\/j*j))\/j)) assuming j is positive.\nAnswer: j**(-27221\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -36, 209, -4 in descending order.\nAnswer: 209, 7, -4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 + 65. Suppose -4*k + 28 = 5*p, b*p = k + 28 - 10. Is (414\/24)\/(3\/8)*k a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160192*j**3 + 3*j + 0*j - 58843*j**3 + 9683*j**3.\nAnswer: -209352*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1. Let s(z) be the first derivative of z**6\/72 - 7*z**4\/24 - 17*z**3 + 58. Let v(q) be the third derivative of s(q). Give 6*u(b) + v(b).\nAnswer: 5*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-5))\/((-2)\/5). Suppose z = 2*f - 9, 2*z = 7*z + 5*f - 15. What is the second smallest value in 1, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -576, -555, -534?\n\"Answer: 21*p - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52055601 and 3101.\nAnswer: 364389207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4622*y - 4579*y + 9202*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 318638923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175 + 128*o + 639 + 2*o**3 - 128*o + 1466 to the form k + d*o + i*o**2 + p*o**3 and give k.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**3 - u. Let q(p) = p**2 + 8*p + 9. Let n be q(-7). Let b be d(n). Calculate the remainder when 7 is divided by b\/14 - 2\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*g + 32*g = -330 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109 - 3*k + 109)*(154 - 154 - 57*k**3).\nAnswer: 171*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-2 + 2 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1792949599 to the nearest integer?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**6\/840 - n**5\/70 + n**4\/168 + n**3\/7 + 16*n**2 - 7*n. Let v(h) be the first derivative of g(h). Factor v(c).\nAnswer: -(c - 1)*(c + 1)*(c + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135502147.\nAnswer: 11, 31, 157, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + -559. Let c = -280 - k. What are the prime factors of c?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 133\/3 - ((-44)\/12 - -5). Let i = w + -28. What is the highest common factor of 345 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*p + 3*o - 45600020, -4*p + 4*o = -91199984. Suppose 0 = 3*w - k + p, k + 16830288 + 13569712 = -4*w. Round w to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t + 1)*((-1 + 5 - 2)*(t**2 + 0*t**2 - 2*t**2) - 4 + 4 - t**2 - 3 - 3*t**2 + 3)*(-3012 + 8827 - 3315).\nAnswer: -15000*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*b + 24 + 13, c + 3*b + 5 = 0. Let r be (c + 0)\/(22\/(-11)). Suppose -5*a = r*a - 531. Calculate the remainder when a is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182331?\nAnswer: 3, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 19\/2490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. Suppose 3*b + 22 = 4*b. Solve 2*x + 0*l = l + 1, -5*x + b = g*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176.9604 + 177. Round v to 3 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyg when three letters picked without replacement from {y: 1, g: 1, x: 2, o: 1, d: 2, t: 7}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 - 1539.2.\nAnswer: -1610.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, and 2 a when four letters picked without replacement from ckapuuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -11317*l + 21943. Give q(2).\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-70)\/42)\/(1\/(-3)). Let m be (-120000)\/18*u*1203. Round m to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*k - 4359 = -6917 - 7426 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4706 = -290*m + 804 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/21 - 7654*t**4\/21 + 7296046*t**3\/21 + 51663190*t**2\/21 - 68649048*t\/7 + 48998520\/7 = 0. What is t?\nAnswer: -10, 1, 2, 1917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 821.3990737 + -821.4. What is c rounded to 5 dps?\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -73954.\nAnswer: -1109310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (4 - (1 - -2))) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + 89 + -45 + -68.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 - 7 = -w, 20 = -5*z + 5*w. Suppose z = -4*p + p + 27. What is the tens digit of (3\/p)\/(1\/87)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.063, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 7) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 0*n + 0*n)*(-6 - 7 + 7) + (0*n - 2*n + 3*n)*(5 - 3 - 1) as r + p*n and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6029880 divided by -60.\nAnswer: 100498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.15. Let l = w + 0.15. Which is the closest to -1? (a) -2 (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(2\/6). Let t be f\/((-2)\/(3 - 1)). Let k = -2\/212241 - -424492\/1061205. Which is the third biggest value? (a) t (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -18 + 8 + -121.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 58\/(-20) - (-92)\/(-920). Suppose 2*y = 3*y + 3. Does y = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 9:29 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1242 and 756.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*p + 12, -3*u = -3*p - 5 + 14. Which is bigger: u or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -389.0336155 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -0.024155?\nAnswer: -0.0265705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2158448067 minus 0.17?\nAnswer: -2158448067.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*p + 3*p. Let q be p\/(1*(-1)\/2). What is the third derivative of -q*m**2 + 5*m**2 - 5 + 5 - 3*m**5 wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1530\/(-112455))\/((-10)\/6 + 2)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153.648594 - 1410555.\nAnswer: -1410708.648594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (901\/289 - -2) - (-13)\/((-7072)\/(-72))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14670*c**2 - 2*c**3 + 13 + 14682*c**2 - 20*c - 29352*c**2.\nAnswer: -2*c**3 - 20*c + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 - 63. Let t = z + 15. What are the prime factors of 18 + 3\/(t\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8700754 decades?\nAnswer: 0.008700754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 975498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-8)\/(-24)). Let q be 4 - z - 45\/18. What is the third smallest value in -0.1, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(33)\/sqrt(3)*-1 - (-1 + sqrt(44)\/sqrt(4) + sqrt(11))**2) + (sqrt(110)\/((sqrt(640) - -1*sqrt(640)) + sqrt(640)))**2.\nAnswer: -25909\/576 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 60*v - 6 + 9*v.\nAnswer: 69*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*1)\/sqrt(10))\/((1*sqrt(120) + sqrt(120))\/sqrt(12)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5982 = 4*j + 2794, -3*j + 3*l = 6576. Let n(p) = -p**2 - 6*p - 5. Let d be n(-4). Let q be -2 - 1\/(d\/j). Round q to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 490185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + -2)*5 + sqrt(16)\/(2*sqrt(128) + sqrt(128)))**2.\nAnswer: -1505*sqrt(2)\/3 + 97801\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12029 - 6461. What is the lowest common multiple of t and 18?\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 6*g - 3. Let y be r(6). Let d(o) = o**3 - 6*o**2 - 6*o + 1. Let k be d(7). Let p = k + y. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 752*h**2 + 24308*h + 25056.\nAnswer: -4*(h - 29)*(h + 1)*(h + 216)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w + 43. What is the remainder when 110 is divided by z(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*h - 63*h + 120 = 71*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -24*x. Let z(b) = -2*b**2 + 91. Give z(p(n)).\nAnswer: -1152*n**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/25659180 and 97\/1751220.\nAnswer: 590161140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4 - 38*p**3 - 65*p**2 + 21*p.\nAnswer: -48*p - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 - -2.4. What is the third biggest value in q, 2\/5, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, z: 1, b: 8, h: 4}. Give prob of picking 1 b, 1 z, 1 h, and 1 m.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4507256 and -215.\nAnswer: -214.5492744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-40) + (-25335)\/40. Let l = -408 - y. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*420\/(-126)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -1\/94, -13 in increasing order.\nAnswer: -13, -1\/94, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -305609 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**8\/224 + b**7\/42 - b**6\/20 + b**5\/20 - b**4\/48 + 6*b**2. Solve h(n) = 0 for n.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 2*v**2 + 17*v - 32. Let j be a(2). Solve 5*z + 3 = j*y - 2, 2*z = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 8 + 2*(-1)\/1. Suppose 2*i + 0*h = -w*h + 82, -5*i + 199 = 3*h. Calculate the lowest common multiple of 5 and i.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29577643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 5\/3, -3\/4, -64, 0.02?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -198, -195, -190, -183, -174, -163?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*3\/6*(4 - -4). Let u(b) be the third derivative of 0*b - 1\/60*b**g + 0 + 1\/300*b**5 - 4*b**2 + 1\/30*b**3. Factor u(w).\nAnswer: (w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 8*q. Let n be g(8). Suppose 4*j - 3 = 17. Suppose -326 = -j*b + t, -2*t = 2*b - 3*t - n. Is 44 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-5)\/(-2)) + 7. Suppose 5*n - j - 6 = 0. Suppose -r - 38 = -n*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 2\/15, 11888\/49 in descending order.\nAnswer: 11888\/49, 0.6, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 49, 79, 123, 187?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**3\/3 - 3*g**2\/2 - 7*g + 3. Let v be c(5). Suppose -v*h + 70 = 2*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**7)\/n*n\/n**(-1\/3)*(n**(-1\/3)\/n)\/(n*n**7)*(((n*(n**(-1\/11)\/n)\/n)\/n)\/(n\/(n**(-6)\/n*n)))**(-9) assuming n is positive.\nAnswer: n**(735\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*d - 62, 2 = 2*d - 2*k - 30. What is the remainder when 259 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/10 + o**2\/2 + 16*o\/5 + 18\/5.\nAnswer: -(o - 9)*(o + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136429 is divided by 89.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/((-234)\/4) - 19724\/(-18). Let v = 4873 - w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q = 13*q + 62 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 - 209*h - 2716. What is n(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1)*(14 - 11) - -5. Suppose -4*k = 3*z - t, -5*z + k + 4 = 3*k. Suppose -3*l + 356 + 214 = z. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:26 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4294.\nAnswer: -2\/2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjzjzzj. What is prob of sequence zzjz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**7\/105 - 47*k**6\/30 + 496*k**5\/5 - 16337*k**4\/6 + 29791*k**3\/3 - 668*k**2. Let j(a) = 0. What is a?\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8608 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23987767*z**4 - 373*z**2 + 77587*z.\nAnswer: -575706408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 7*l - 20. Let o be u(-2). Let b = -8 + 42. Let p = o + b. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -3\/7, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 6*g + 26. Calculate c(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**3 - 30*p**2 - 5*p - 18. Let b be v(-6). Calculate the highest common divisor of b and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*i + 247 = 0, -q + 5*q - 5*i = 988. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 4*u - 4*r, -2*r - 99 = -2*u - u. Suppose 2*y = -u + 97. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99.71 + 0.29. Let v = -103 + g. Sort v, -0.08, 3 in decreasing order.\nAnswer: 3, -0.08, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + d**3 + 2*d + (0 - 2 + 1)*(-206*d**3 + 474*d**3 - 236*d**3).\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 94*h - 370 + 90*h - 182*h.\nAnswer: 2*h - 465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3 - 9 - 1 - 1 - w. Let l = -28 + 46. Calculate the lowest common multiple of c(-32) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172086171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 260.7791 + -260.7. Sort 0.4, -1\/11, q in increasing order.\nAnswer: -1\/11, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201111 (base 4) in base 10?\nAnswer: -2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*i - 5, -q - 20 = -5*q + 5*i. Suppose 103 = q*f - 352. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4658 divided by 533\nAnswer: 4658\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jttj when four letters picked without replacement from {d: 1, v: 1, t: 2, j: 4, l: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/393 and -34\/43.\nAnswer: 16899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + i + 8. Let k be n(0). Suppose k*b + 68 = 12*b. What is the second derivative of 6*x - 13*x - 8*x + b*x**3 wrt x?\nAnswer: 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362967?\nAnswer: 1362967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 - 154830*p**2 - 5427705*p + 78432530 = 0. What is p?\nAnswer: -46, 11, 31001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-7) - 2)*(-5559)\/6. Let z = s - -134389\/252. Find the common denominator of z and 35\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z - 17. Let p be -3*(-8)\/(-6) - (0 - 0). Let v be x(p). Let q be v\/(2\/(-8) - 24\/32). Which is smaller: q or -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -747 - -750. Sort 2, f, -4, -15 in descending order.\nAnswer: f, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -21*m**2 + m - 56. Let f(j) = 4*j**2 + 11. Determine -11*f(c) - 2*y(c).\nAnswer: -2*c**2 - 2*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/1 + 24\/420.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*f + 8 - 21, 4*f = 2*u + 4. Let g be 34\/((-2)\/u*6*2). Solve 0 = -g*y + 8*y + 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*t**3 + 1484*t**2 + 83487*t?\nAnswer: -222*t + 2968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s - 1. Suppose 7*p = 4*p + 3. Let t(j) = -j + 1. Let r be t(-3). Suppose r = 3*v + p. Calculate w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -325 + -314121?\nAnswer: -314446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631353 (base 8) to base 5.\nAnswer: 23202033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1608480 divided by -321696?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49457 and 7296.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 182*t + 4443. Determine z(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (13 - 9) + -19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -491*x**6\/6 + 687*x**2\/2 - 30. What is the second derivative of j(i) wrt i?\nAnswer: -9820*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1176\/(-36)*(-6)\/4. Let y be (-170)\/(-7) + (-4)\/14. Let h = o - y. Solve -5*b + 0*b - h = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3 + 8 - 4*u - 13 - 2*u. Suppose -16 = -0*h - 4*h. Let g(p) = -7*p - 2. Give h*x(n) - 3*g(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 51 = -3*a + 27, -5 = -j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18061988\/280 + (-3)\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -1, 4, 66, 3 in decreasing order.\nAnswer: 66, 55, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-169 - 160 - 212 - 243 + 148)*(-3 + 2 + 3)*(3 - 3 - 3*m).\nAnswer: 3816*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, -2\/1441, 4\/13 in descending order.\nAnswer: 4\/13, 2\/29, -2\/1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d**5\/3 + 1559122*d**4 + 16704752*d**3\/3 + 5790968*d**2 + 5345504*d\/3 = 0.\nAnswer: -334094, -2, -1, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/1307 + 35269\/13070. Calculate the common denominator of (-41)\/(-5) + 51\/85 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + d**2 + d. Let c be x(0). Suppose -4*h - q = -2*h - 488, 4*h + q - 972 = c. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from kskrkkskssspsrkgks.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 577014 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - (3 + -3) - -5 - -91 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, -3, 4, 0.1886 in descending order.\nAnswer: 4, 0.1886, -1\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + g + g)*(2 + 1 - 4) + (2 - 2 + 1)*(-22 + 9*g + 22) - 618*g + 14593 - 14593 as d*g + o and give d.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 11666?\nAnswer: 104994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720981323 less than 58?\nAnswer: -1720981265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c1 (base 13) in base 10?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*k + 200*k - 402*k + 233 + 201.\nAnswer: 21*k + 434","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - m + 5*m)*(40*m + 31 - 31)*(-2 + 3 - 2)*(3*m + 2*m - 7*m - 18) to the form j + w*m + g*m**2 + n*m**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78200*c + 89587?\nAnswer: 78200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2))**(-3\/37)\/(q**1)**(-24\/5) assuming q is positive.\nAnswer: q**(843\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(2 - 195\/100). Let j be 2\/r + (-12969)\/(-45). Suppose -6*s = 4*u - 2*s - 304, 4*u = 4*s + j. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(448)) + (sqrt(448) - (sqrt(448) + 3 + (sqrt(448) - (0 + sqrt(448) + sqrt(448))))) - (-4 + 0 + sqrt(448) + -4)*-3)**2.\nAnswer: -528*sqrt(7) + 1537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -138*z + 5 = -139*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3\/9 + 10420*l**2\/9 + 683792*l\/9 - 469744\/3 = 0. What is l?\nAnswer: -66, 2, 2669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400504 and 650.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/14)\/((-2)\/(-12)). Let m = -2 + h. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 832 is divided by 225?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1500.772266 microseconds?\nAnswer: 0.000000002481435625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 f when four letters picked without replacement from {k: 1, g: 2, t: 3, d: 1, f: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence new when three letters picked without replacement from wwlnrbweenwbrw?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 74*p - 74*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(65) + -1*sqrt(65))*5)\/((sqrt(15)*-2)\/sqrt(3) - sqrt(320)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2622258.6 months to years.\nAnswer: 218521.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7379480 and 360?\nAnswer: 66415320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10849)\/(-76) - 35) + 1\/4. Solve 24*u - y*u - 756 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**6\/30 + 2*p**3 + 6. Let h(s) be the third derivative of u(s). Let x(a) = 2*a**2 + 61*a + 31. Let v be x(-30). Give h(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 666 - 666. What is the fourth biggest value in m, -1\/4, -0.02, 1\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133.6 - -125. Let j = g - -11.6. Let c = -2\/123 + -109\/861. Put c, j, 1 in increasing order.\nAnswer: c, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 1 - 8 - 6) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 1. Let d be (36\/(-27))\/(1\/3). Let s(t) = -3*t - 5. Determine d*w(k) - s(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 28. Calculate the remainder when y(-12) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 6*r - 10, 13*z - 10 = 16*z + r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**3\/4 + 359*f**2\/4 - 32399*f\/4 + 32041\/4 = 0.\nAnswer: 1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -184 and -186 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123519675359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/(21\/(-7))*2\/8. Solve j - 5*j = -o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 6\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25045 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -22795*d - 296329. Give p(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48375 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - sqrt(208)*-1) + -5 + 5)**2 - (((-1*sqrt(117) - sqrt(117)) + sqrt(117)*1)*1)**2.\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.5 - 6. Let v = 5 + -2. Which is the second biggest value? (a) s (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 163 - 163. Suppose -164*b + 166*b - 100 = g. Suppose 66 + 9 = 3*h. Calculate the highest common factor of h and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdp when three letters picked without replacement from dpgozgprpood?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13149 by 27.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, 4*u - 16 = 2*z - z. What is the first derivative of 23 - 10 + 11*s**2 + 9 + u wrt s?\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26746013*v**2 + 18409831*v + 3 wrt v?\nAnswer: 53492026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.21595*172\nAnswer: -37.1434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let f = -1.3 + 0.7. Let s = 0.1 + f. Which is the closest to l? (a) -4 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 359. Is o(-33) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 63 - 26 + 1538*p - 1549*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16844017*z**4 + 1349450*z**2 - 5 wrt z?\nAnswer: -404256408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 47. Suppose 3*q + 0 = w + 10, -w - 4 = 0. Let z be (-5)\/q*(-6)\/5. Solve -5*p + d = -o, -2*o + z = 5*p - 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 24*s + 49. Give k(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74899 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -21. Let o be 138 + (l - 2) + 1. Suppose 2*u + 2*p - 5*p - 102 = 0, 3*u - o = p. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 3. Let w be t(0). Let b(u) = 11*u**3 + u - 2*u - 7*u**w. Give b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -163697, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -115165?\nAnswer: -115172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (66 + -2 + 3)*-1. Let q(o) = -5*o + 3. Let c be q(5). Let b = h - c. What is b rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7 + -1.7. Which is the smallest value? (a) -1 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 10:37 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.05\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/3*i**3 + 1\/3*i**5 + 0*i - 2\/3*i**2 - 4\/3*i**4 + 0 = 0 for i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (23\/23)\/((3\/(-2))\/(-3)). Suppose 3*t - y*q = -0*q - 13, 0 = 5*t - q + 17. Let m(o) = o - 1. Give m(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y - 43 = 41 - 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11812 is divided by 3779.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -878*n**2*q + 1043*n*q + q wrt n?\nAnswer: -1756*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 33\/870043?\nAnswer: 33\/870043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17722700 and 24800?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 + 2582*b + 5590. Determine c(371).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = 0. Suppose q = -4*g + g. Suppose -a - 4*a - 29500000 = g. Round a to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -28*h**2 - 40042*h + 403220 = 0.\nAnswer: -20161\/14, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 5*q**2 - 2*q**2 + (q + q - 4*q)*(2*q - 2 + 2) - 2*q**2 + 3 - 3 - 24*q**2 + 70*q**2 - 24*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227 + 189. Let u = -37.8 - l. Let p = -11.7 - -12. Which is the closest to u? (a) -2 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**45\/l*l)\/l**(-5)*(l*(l*l*((l\/l**(2\/3))\/l)\/l)\/l)\/l**(-10) assuming l is positive.\nAnswer: l**(181\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -144*v + 97 + 69*v + 54*v. List the prime factors of f(-25).\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o + 85. Let f be s(4). Suppose -3*u = 5*j + u - 85, 5*j = 4*u + f. Solve -4*v + 17 = 3*n - 4*n, 5*n + j = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 185*w - 186*w - 5230, 3*w - 5230 = -2*b. Is 71 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1053602.681 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s**3 - 31*s**2 - 124*s + 57. Determine p(-5).\nAnswer: -1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (9 - (9 + -7) - 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*o**2 - 9036*o - 1 + 18068*o - 9033*o to s + n*o**2 + w*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/7 + 114340*b + 800382\/7 = 0. What is b?\nAnswer: -1, 400191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 6:36 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + g**2 + 0*g**2 + (0 - 1 + 0)*(-6*g**2 + g**2 + 3*g**2))*(-111 - 9*g**2 + 111).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 976224.4 centuries in decades?\nAnswer: 9762244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 10 - (2489 - 2485)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7173 + 114823\/16. Calculate the common denominator of 316\/16 - 1 - 3 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 13*s + 12. Let p be i(12). Suppose p = 6*x - 3*x + 6. Let o = -2 - x. Which is the closest to 0.2? (a) -0.1 (b) 2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.243 - -0.14. Let x = w + -0.197. Which is the smallest value? (a) -0.6 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-607260)\/40833 + 8\/(-3) - 17\/(-1)?\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2460 divided by 492\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1787340296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/44*(-24)\/784*-2.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 407*a**3*u*z - a**3*z + a**2*u*z - a**2*u + 794*a*z wrt a?\nAnswer: 2442*u*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3634307, -7268600, -10902897, -14537204, -18171527?\nAnswer: -21805872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 250 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*n + 80, 4*n - 6 + 54 = 3*d. Solve -37*h + d*h = 105 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -36. Let c be ((6 - 3) + w)*-10. Are c and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.85*878187.\nAnswer: -1624645.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 133 and 1361331.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -32*z**3 - z**2 - z + 2. Calculate v(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 - (3 + -3 + -3). Let d = r - 9. Is ((-1110)\/(-12))\/(d\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 34 = -50. Let n be 1*((-14)\/v + -2). Which is the closest to n? (a) -4 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 take away -5444382.126?\nAnswer: 5444382.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8283022 and 1595.\nAnswer: 1201038190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000504 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*u + 6 = 56, 3*v - 4*u = 52. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rroo when four letters picked without replacement from {o: 2, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 27\/10, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1390 < -1390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12*q = -48. Let b = -4409 - -4375. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 6. Let z be d(6). Let s(t) = -t**2 - 6*t + 1. Let a be s(z). What is the units digit of ((-9)\/(-3 + 0))\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.95 - -28. Let f = r - -2. Let z = f - -1.95. Sort 3\/7, -3, z in decreasing order.\nAnswer: z, 3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:07 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -2\/19 (c) -3 (d) -0.6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.1 + 3.1. Which is the second biggest value? (a) -1\/3 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3301962?\nAnswer: 2, 3, 353, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(475) + -1 + sqrt(475).\nAnswer: 2 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**4 + x**4 - 6 + 2*x - 9*x - x**4. Differentiate v(l) with respect to l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343666000 a multiple of 2480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((6*(-2 + sqrt(1377)) - -2*-4*sqrt(425)) + 3)**2.\nAnswer: -13652 + 1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13576 is divided by 60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/27)\/(160\/24)*-4. Let w = 143 - 717\/5. Put 5, 1\/2, w, q in descending order.\nAnswer: 5, 1\/2, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 435.1 - 234.1. Is 5 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387272*c - 3575 - 83*c**2 - 387272*c + 3575.\nAnswer: -83*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57314 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18869\/3 + -1754762\/279. Calculate the common denominator of -17\/186 and n.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 12:49 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 164*v = 156, 0*t - 4*t - 3*t = -3*t - 4*t + 2*v + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -814 by 4418.\nAnswer: -407\/2209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 27*z**2 + 52*z - 48. Let b be v(25). Put -1, -5, b, 4 in ascending order.\nAnswer: -5, -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1 - 1 + j**2. Let w(g) = -4*g**2 - 3*g**2 - g**2 + 3*g**2. Give w(l(u)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(6\/13)*y**18*y*y**(-9)\/y*y**(-14\/5) assuming y is positive.\nAnswer: y**(438\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*h + 13 = 0, -2*h + 10 = w - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3486 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/(-4))\/((-2)\/8). Let t be 2\/x + 8\/(-21). Let k = -0.23 - -0.33. Which is smaller: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p + 23. Let l(r) = -7*r - 24. Calculate -3*l(f) - 4*v(f).\nAnswer: -3*f - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 2\/15, -2\/25, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**5\/10 + 7*c**4\/4 - 2*c**3 + 2*c**2 + 6*c + 32. What is h(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3250\/130829 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 112.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/21*((-2)\/25)\/(116\/(-406)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 - 2\/(-3). Let p be -1 - (0 + w - 1). Let c(i) = -2*i + 14. Let m be c(p). Calculate the highest common factor of 154 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 8. Let x(b) = -7*b - 7. Let h(z) = 8*z + 7. Let d(u) = -5*h(u) - 6*x(u). Give -4*d(i) + 3*w(i).\nAnswer: i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6*(5 - 29). Let x be (b - 0)\/8*1\/1. Solve x = -2*j + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171930895.3 + -0.4?\nAnswer: -171930895.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 - 4*m**5 + 3*m**5 + (1 - 1 + m**4)*(6 - 6 + 4*m) + m**5 + 0*m**5 - 2*m**5.\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109761\/1946510 - 1\/9573. What is the common denominator of k and 103\/1464?\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11432342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:21 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/10*(-195)\/(-234).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 + 2*b**2 + b + 2. Let z be l(2). Let m = 13 - z. Solve -m = 4*i + i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -40236, -76904, -113572, -150240?\n\"Answer: -36668*d - 3568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 46. Suppose -4*m + 59 + 409 = i. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 995115296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2.457 times 0.84\nAnswer: 2.06388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**4\/4 - 2*m. Let k(h) = 3*h - 2. Let r(s) = -2*s + 1. Let b(q) = -k(q) - 2*r(q). Give b(l(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 not equal to 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + k**2 + k**2 + 25 - k**2 + 139 to g + a*k + q*k**2 and give g.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319155?\nAnswer: 3, 5, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18587376 to the power of 1\/2, to the nearest integer?\nAnswer: 4311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -8. Let t be (-9)\/a + (-2 - -11). Let c(i) = i + 0*i + i**2 + 0*i. Let s(k) = -3*k**2 - 6*k. Determine t*c(p) + s(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7356874 decades in months?\nAnswer: 88.282488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -9. Let x be 3\/9 + (-5)\/6. Let b = 14.3 - 15.3. What is the closest to x in b, 0.5, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153.8 + 35.2. Let y = m - 187. Let r = 9 - 14. Which is the closest to -4? (a) r (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 45\/37?\nAnswer: 45\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - 5*d + 2*d + 0*d - 5*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*s + 3*h + 22, 0 = 5*s + 3*h - 12. Let t(x) = -x**2 - 3*x**2 + 11 + 5*x**2 + x**2. Let i be t(s). Solve 3*w - i = 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from fffftifwwnbntwn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 7459?\nAnswer: 7458.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + 43*d + 3*d**2 - 43*d + d**3 as n + r*d**2 + k*d**3 + z*d**4 + v*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4 + 66*b**3 + 291*b**2 - 792*b + 432 = 0 for b.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1097, 3182, 10309, 20278, 33083?\n\"Answer: -w**3 + 1430*w**2 - 4*w - 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121 and 44.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**3 - 5*g**2 - 5*g. Give p(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 + 1479*z**3 - 2187441*z**2 + 599115785*z = 0. What is z?\nAnswer: -2465, 0, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14117 divided by 1.\nAnswer: 14117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -5*g + 165. Let h(b) = -2*b**3 - 24*b**2 - 70*b - 220. Let y be h(-10). What is the greatest common divisor of y and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 256516 and 887940?\nAnswer: 11543220","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 383 - -182?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -2*t**8\/21 - 5*t**4\/4 + 3*t**2\/2 + 40. Let q(z) be the second derivative of j(z). Find the second derivative of q(f) wrt f.\nAnswer: -640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/266 - 5\/114. Suppose -4*y - 21 = -v, y - 161*v + 158*v = -19. What is the closest to 1\/4 in -3, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276*-0.4.\nAnswer: 110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556948?\nAnswer: 2, 3, 213079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335 and 8.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/10)\/(12\/(-30)). Let z(u) = -u**2 - 5*u - 1. Let j be z(-3). Suppose 4*t - l + 5*l = -12, n*t = -j*l - 17. Solve -3*f = t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*b*i**4 - 18*b*i - 2165*b - i + 1 wrt i?\nAnswer: -156*b*i**3 - 18*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0\/(((w**(-4)*w*w)\/w)\/w)*w**0\/w**(-1\/8)*(w\/(w*w**1*w))**(-16\/3)*(w**1)**(-3\/11) assuming w is positive.\nAnswer: w**(3833\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25 + 2.65. Let l = y - 2. Which is the second biggest value? (a) -4\/3 (b) l (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 4 = 9*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 7*w + 87. Let h(y) = 3*y - 5. Determine h(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*v + 116*v - 279*v - 14*v**2 + 216*v**2 in the form g + f*v + l*v**2 and give l.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (-1 + sqrt(180))**2 - sqrt(180)*-2*2).\nAnswer: 12*sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -67, 650, -2, -5.\nAnswer: -67, -5, -2, 14, 650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2031391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2621861629 to the nearest integer?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1*(3 - 2). Let z(m) = m**2 - 6*m - 11. Let f be z(8). Sort f, b, 4 in ascending order.\nAnswer: b, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 1 + 11*l - 4*l + 1.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 734 = -4*c + 1846, 3*f - 3225 = -5*c. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1\/l**(-1\/8)*(l*l*(l**2*l)\/l)**(2\/115)*(l*l**(6\/7)\/l*l*l*l*(l*l\/((l*l*l\/((l*l*l*l**(-8)*l)\/l))\/l)*l)\/l)**17 assuming l is positive.\nAnswer: l**(-117427\/6440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.475127 rounded to two decimal places?\nAnswer: 109.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 - 180. Let m = -9 - -14. What is the closest to h in 0, m, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 12 - -7) + (-6 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4239*n + 250110. What is s(-59)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.86 - 15. Let c = -8.14 - t. Let u = 7.999997 + c. Round u to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49.36 times -13579\nAnswer: 670259.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**2 - 12*y - 10. Let d(x) = 6*x**2 + 13*x + 11. Let l(s) = -4*d(s) - 5*u(s). Determine l(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 3. Let z be (20\/35 - 0)*7. Suppose 5*y = -z*a + 36, -4*y + 2*y = 0. Calculate d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbtf when four letters picked without replacement from {b: 2, v: 1, d: 2, t: 4, x: 8, f: 3}.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 - (-94)\/(-14). Let a be ((-90)\/20 - h) + 2\/(-4). Solve -4*m = -q - 17, m + a*q + 2*q = 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255537 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537925.5 months to millennia.\nAnswer: 44.827125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 602\/42 + (-2)\/(-3). Let v be (-4)\/18*6*w. Let a be (36\/v)\/(3\/(-5)). Solve -g + a*x = 6, g + 12 = -2*g + 3*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7109, 7101, 7091, 7079?\nAnswer: 7065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*2\/(-1) - -8. Let n be (v\/(-9))\/((-4)\/42). Suppose n*l = 4*l + 105. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = 0. Suppose 2*p + 3*v - 586 - 624 = 0, r = 4*p - 3*v - 2384. Is (19 - 17)*p\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -42 - 1*(-7)\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**6*i + 228*h**4*i - 2898*h**2*i wrt h.\nAnswer: 360*h**3*i + 5472*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 3:01 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 0*c = -18. Suppose 0*s = -c*s + s. Solve -2*u + s*u - 3*a = -5, -4*u = -a - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10012?\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 23 = 5. Let i be (-1 + d\/(-2))*(-40)\/(-70). Find the third derivative of 2 - 24*x**2 + 29*x**i - 8*x**5 - 2 wrt x.\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4133*p - 53618. What is y(13)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -163*t**3 - 11*t**2 - 44*t + 6. What is the units digit of u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b - 2*b + 3*b + 7*b**2 - 8*b + 29*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 8 = 2. Suppose 146 = -5*f + z*c + 417, -5*c + 120 = 2*f. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l = 32*l - 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 - 5) + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1789*s - 665*s - 564*s - 560*s - 28392*s**2. Let f(u) = 2*u. Give h(f(n)).\nAnswer: -113568*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1940418658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 9. Let g be u(-3). Which is bigger: g or 2\/957?\nAnswer: 2\/957","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 1, t: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -112, 134, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/138756 and 33\/2984?\nAnswer: 277512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -41 + 140. Let g = 102 - b. Suppose 2*m + 48 - 226 = 5*x, -g*m - 5*x = -267. List the prime factors of m.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5326, -5319, -5316, -5323, -5346?\nAnswer: -5391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 2. Calculate l(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/6 - 36*g**3 - 220*g**2 - 1328*g\/3 + 1546. Factor l(o).\nAnswer: 2*(o - 166)*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11030401, 1, -1 in descending order.\nAnswer: 11030401, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:30 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -601321*v**4 + 316*v - 289 wrt v.\nAnswer: -7215852*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 29*d**2 - 53*d + 5714. What is b(35)?\nAnswer: -3491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0 = 35. Let x(b) = b**2. Suppose -4*m = 3*o + 2, -3*m + 5 = -2*o + 15. Calculate the remainder when v is divided by x(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 - 0.8. What is the third biggest value in -3, v, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 = j. Suppose 0 = j*y + 1 - 10. Suppose y*w - 455631 + 1565631 = 0. Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*6*4*sqrt(704) + -3)*-2)**2.\nAnswer: 10752*sqrt(11) + 1622212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 11:19 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28327 - 501*p + 512*p + 28320.\nAnswer: 11*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a factor of 141336637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s + 5. Let m = 6 + -3. What are the prime factors of a(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 165*m**3 + m + 1 + 259*m**2 - 261*m**2 - 3*m. Does 9 divide w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.1 + -39.0276. What is p rounded to 3 dps?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)\/s**(-2\/49))\/(s**(-2\/9)\/s)**(-3) assuming s is positive.\nAnswer: s**(-1856\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 585987\nAnswer: 234394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 6. Suppose p*f + f = 16. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 7*u + 2. What is b(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 29 - (2 + -5 + -2 - -5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 + (-9)\/(-4). Let u be (-261)\/15 - -1*1. Let f = 16 + u. What is the second smallest value in -0.5, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(192)*1)**2*5 + (1*sqrt(192) + -3)**2 - (sqrt(192) - (-1 + sqrt(192))*6)*1) + 1.\nAnswer: -8*sqrt(3) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-108))\/(1*10\/(-30)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, v: 2, c: 1}. Give prob of sequence vv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(605) + sqrt(5) + -2)*5)*1)**2.\nAnswer: -720*sqrt(5) + 18036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6114.\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*r + 3*y, -3*y + 4 + 11 = 0. Let a = 981 + -979. Factor 245*g**5 + 5*g**a - 10*g**2 - 20*g**4 + r*g - 330*g**4 + 105*g**2 - 15*g**3.\nAnswer: 5*g*(g - 1)**2*(7*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o**3 + 1. Let m be 1\/3*9 + 39. Suppose 105*g + m = 108*g. What is the least common multiple of g and d(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 4 + 2*z**2 - 4*z**2 + 2*z**2 + 3*z**2 - 6*z**2 + (-4*z + 4*z - 2*z)*(-2*z + 3*z + 2*z).\nAnswer: -9*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 32\/3*-12*(-3)\/24\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 272\/20 - (-2)\/5. Let k be (0 + 2\/(-4))*z. Let r(b) = b + 21. Calculate the lowest common multiple of 26 and r(k).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2946 and 129624.\nAnswer: 129624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-16 - (-37 + 3)) + (-32 - 2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 15. Let c = a - -8.5. Let f = 1 - c. What is f rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1332000113110 - -13?\nAnswer: 1332000113123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -5 - 2 - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1302*u**3 + 2519*u**2 - 2*u - 171236 wrt u.\nAnswer: 7812*u + 5038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000018248865 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4949, 19749, 44421, 78965, 123381?\nAnswer: 177669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/3)\/(d*(d*d**27\/d)\/d*d))\/(d\/(d\/d**(13\/5)))**(-21))**(-41) assuming d is positive.\nAnswer: d**(-17384\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 6*o**2 - 40*o - 350. Give m(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -201*a**2 + 480*a**2 - 219*a**2. Let i(h) = -10*h. Determine i(n(x)).\nAnswer: -600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 20*v + 11. Let y(u) = 11*u + 6. Let h = 107 + -101. Let f(x) = h*g(x) - 11*y(x). Give f(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15045950 rounded to the nearest one hundred thousand?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 140679624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123526619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 111*f**2 - 47*f + 367. Is y(-58) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l + 8. Let y = -14 + 16. Let a(k) = -7 + 2 + k + y*k. What is 8*a(b) + 5*g(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 618719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3706?\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404897837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*((l\/l**(-4\/5)*l)\/l)\/l)\/l*l\/l**1*l)\/(l*l\/(l**0*l))**(7\/5))\/(l**(4\/7)\/l*l**(-4)*l**(-3\/4)*l**(-1)*l) assuming l is positive.\nAnswer: l**(781\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:34 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4308, 4360, 4412, 4464, 4516?\n\"Answer: 52*v + 4256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 142 = 5*l, 4*n + 69 = 5*l - 88. Let a = 32 - l. Solve 0 = -4*b - 3*h + 17, -7 - a = -3*b - 5*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227140, 454284, 681428, 908572?\nAnswer: 1135716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1453 - 1449. Let q(l) be the second derivative of 7\/30*l**6 + 2*l + 0*l**2 + 1\/2*l**d + 0*l**3 + 0*l**5 + 0. Find the third derivative of q(f) wrt f.\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 33*c + 20. Let y(o) = 11*o + 7. Let a(u) = 4*x(u) - 11*y(u). Is a(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 + 2*s**2 - 2*s. Let w be c(-2). Suppose 0 = 4*m - 4*y + 58 - 142, 3*m - 53 = -2*y. Let u(o) = -24 - 4*o - m + 45. Calculate u(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + v + 2 = 0, 3*x - 4*v + 25 = 0. Let r(g) = g**3 + g**2 + 4. Let s(a) = -5*a**3 - 4*a**2 - 21. Let j(o) = 11*r(o) + 2*s(o). Calculate j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155104*u**6 + 27*u**5 - 77497*u**2 + 15*u + 4.\nAnswer: 18612480*u**3 + 1620*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*p + 4*p. Let c = -847 - -591. Let l be c\/(-20) - (-12)\/(-15). Solve -s + 4*s - l = p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24\/7, -0.2, 17, -2\/33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44147 divided by 2.\nAnswer: -44147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -59, -11, 1 in descending order.\nAnswer: 1, -3, -11, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 6*u**2 + u - 4. Let t be x(6). Suppose 139 + 118 = 4*s - 3*j, -t*s = j - 131. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1315*t - 8195. Let c be d(-11). What is the greatest common factor of c and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 420926.875006064 and -4?\nAnswer: 420930.875006064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(4 - 4 + m**2) - 7*m + 7*m - 5*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 480889 and 1.\nAnswer: 480889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (-21 + 33 + -26).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w**3 - 3*w**2 + 4*w - 4. Let o(i) = -5*i**3 - 3*i**2 + 3*i - 3. Give 4*o(r) - 3*y(r).\nAnswer: -5*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -10. Solve 576 - 5*o**d + 10*o**2 - o**2 + 96*o = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 6*i + 8. Let h be x(-7). Let k be -1*(-4 + h)*1. Suppose -k*u - 37200 = -0*u. What is u rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408429 and 1953.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7292 + -2575?\nAnswer: 4818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((0 - -2) + 2)*1551\/66. Solve 0 = 16*b - l + 222 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/50 - (-62)\/10. What is the greatest common factor of u and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -191*r - 65 + 65 + 98*r + 94*r. Suppose 1 = q - 4*x + 7, -3*x + 16 = 5*q. Let a(y) = 0*y**2 - 6*y**2 - 4*y**q. Give a(t(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 525*b - 1. Let i be h(6). Let r be (-10)\/20 - i\/(-2). Suppose -2*g = -z - r, 6*z = z. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c + 6. Let w be (2\/6)\/((-4)\/(-72)). Let h be t(w). Suppose -4*k - 5*f + 110 = 0, 5*k - h = 3*f + 102. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1 - l + 1. Let o = 1 - 6. Let y be w(o). Let m(h) = h**3 - 4*h**2 - 3*h - 3. Calculate m(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58102*p**4 - 3404*p**2 - p + 70 wrt p.\nAnswer: 1394448*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366413671 a multiple of 1447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v*v\/(v**(5\/3)\/v))**(-16\/3) assuming v is positive.\nAnswer: v**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.8 + -8. Let s = 1.6 + i. Let t = -0.3 + s. Which is the closest to 0? (a) -0.4 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27399775 divided by -2.\nAnswer: 27399775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5 - 337*v**4 - 1031*v**3 + 3737*v**2 + 1030*v - 3400 = 0.\nAnswer: -5, -1, 1, 2, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61349 - -711349. Round u to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(209) + sqrt(209) + -2*sqrt(209)*-6)\/sqrt(11).\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4900 divided by -371\nAnswer: -700\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**5 + 825387*i**4 + 2*i - 288228?\nAnswer: -60*i**3 + 9904644*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 436*x + 877. Determine i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*a - 15. Suppose r = -2*b - 2*r + 46, 0 = a*b + 5*r - 70. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-111)\/(-518)*7\/(-6))\/((-10)\/(-112))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.3, -4\/3, -0.1, -13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 + 4*g + 4. Let a be z(-2). Suppose -16*y + a*y = 1564. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/1315509 + -74974357\/6351277452. Find the common denominator of 11\/8 and q.\nAnswer: 9656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88) + -1*sqrt(88))*-3*-1)\/(((sqrt(48) + (sqrt(48) - sqrt(2352)))*1 + sqrt(48))\/sqrt(6)).\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4047 - -4143. What is the remainder when 191 is divided by c?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*p*p\/p**12)\/p)\/(p**13*p))**(2\/23)*((p\/(p**9*p))\/(p*p**(-5\/3)*p))**9 assuming p is positive.\nAnswer: p**(-1976\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 - z + 7. Let i be l(-3). Sort 1, -3\/2, i in ascending order.\nAnswer: -3\/2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ogggogoggg.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12114648 by 1638.\nAnswer: -7396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1071 and 10?\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -24?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10534640 and 126415680?\nAnswer: 126415680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**3 + 20159545*z**2 - 36857072*z.\nAnswer: -6*z + 40319090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -98*c + 3 + 4 + c**2 + 102*c. Suppose 3*u + 11 - 2 = 0. What is d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. Let g(v) = 319*v + 3538. What is the least common multiple of q and g(-11)?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-5) + 60\/3. Let a = -18 + d. Let c(x) = 4*x**3 + 2*x**3 - 7*x**2 - 10 - 7*x + a - 7*x**3. Determine c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 * 0.02\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/8 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -285*w + 3960*w**3 + 287*w - 2*w**2 - 1295*w**3 + 2*w**2 to r*w**2 + n + s*w + d*w**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17\/55 + 27\/55. What is the closest to 2 in a, -4\/3, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.16055 to three decimal places.\nAnswer: -1.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108.5 - 108.8. Which is the nearest to 1? (a) 3 (b) z (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7750 = -143*f - 3332 + 4309 - 6240 for f.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 4)*(5*r + 0 + 0) + 28*r - 2*r - 5*r - 1 - 2*r + 1)*(1 - 2 + 5).\nAnswer: 56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3120\/(-91))\/(-8)*896\/160?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + -8 - (-4 + (-10 - 0))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.035 - -1.035. Let w = -17.4 - -14.48. Let u = -0.08 + w. Which is the second biggest value? (a) u (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r - 2. Let t be f(-3). Let x be t*((-8)\/(-10))\/2. Suppose -x*p - 5*n + 62 = 0, -11 = -p + 2*n - n. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) - (-1)\/2. Suppose 28*v - 30 = 18*v. Find the second derivative of v*r**2 - 4*r**2 + 11*r + o*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 512 and 12320.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 162*p - 6057. What is the remainder when o(38) is divided by (7\/1)\/((-6)\/(-18))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010 (base 2) in base 3?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 7, -1444?\nAnswer: -1444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/120 and -121\/33696.\nAnswer: 168480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 0. Let s = -207 - -202. Is s less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 + 6) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41, -153, -341, -605?\n\"Answer: -38*i**2 + 2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157.99*-53898.\nAnswer: -8515345.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665.4316km to centimeters.\nAnswer: 66543160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 2 y when four letters picked without replacement from {r: 4, b: 3, y: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(500) - sqrt(20)\/sqrt(4)*4.\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 611249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -524*z - 23*z**3 + 5 - 4 - 25*z**3 + 534*z as g*z**3 + w + d*z**2 + x*z and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10)*1 + sqrt(10)) + (-2*sqrt(19) - sqrt(19) - sqrt(19)) + 1.\nAnswer: -7*sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**7*m))\/((m**(-2\/7)\/m)\/m*m))\/(m**(3\/7))**3 assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygygnkgyggggyyggygg. What is prob of picking 1 k and 3 g?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 0 + 26*(-1)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03766858 and 111545339.\nAnswer: 111545338.96233142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35464344*c**5*x - 4*c*x - 22488*c + 6*x - 3 wrt c.\nAnswer: -709286880*c**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -60. Suppose -5*i + s*l + 693 = -0*i, 3*i + l - 409 = 0. Let q = i + -97. Calculate the greatest common factor of q and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/6 - (20\/6)\/(-5). Suppose 2*p + 3060 = 2*a - g*p, -4*a + 6150 = 5*p. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -25145 - 25*k**2 + 7*k**2 + 25131 - 18*k - k**3. Let w be d(-17). Solve w - 8 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 7:31 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and 7?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.4 - -22.4. Sort 0.002, w, 5 in increasing order.\nAnswer: 0.002, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + -36. Let u = d + -49. Suppose 37 = 8*i - u. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23*(-18)\/6 - -5. Let f = 95 + x. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 2828176.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by 490.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 + 61*i**2 - 11*i + 43. Is u(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 9*s**2 - s - 1. Let y be f(4). Suppose 6*x = -4*r + y*x + 1136, -4*x + 16 = 0. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 626 (c) -3 (d) -4 (e) 151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 343238897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1\/8, -4.1, 5, -163.4 in descending order.\nAnswer: 5, 3, 1\/8, -2, -4.1, -163.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 - 72561.\nAnswer: -72563.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*c + 166988, -5*z - 62*c = -59*c - 208743. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(3) + -4)*1)**2.\nAnswer: -24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 46 = -11. Suppose 2252 = -0*j + 3*j - 5*v, 5*j = l*v + 3732. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2. Let k(s) = 6*s**2 - 60*s**2 - 75*s**2 + 45*s**2. Give k(q(j)).\nAnswer: -84*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 250782 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2581*y + 6042*y - 2742*y + 2919*y to u + z*y and give z.\nAnswer: 8800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59913?\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/160 and 5\/2254.\nAnswer: 180320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*13\/(585\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50\/((8\/8)\/(21\/1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -b + 5*w, 0 = -3*b - 4*w - 5 - 0. Let f(l) = 4*l**3 - 3*l**2 + 3. Let z(c) = -20*c**3 + 16*c**2 - 16. Calculate b*z(a) - 16*f(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j - j + 2*j)*(197*j**2 - 11*j**2 + 29*j**2) - 2*j**3 + j**2 - j**2)*(-4*j + 2*j + j).\nAnswer: -428*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106163, 424575, 955251, 1698185, 2653371?\nAnswer: 3820803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(612) - (sqrt(612) + -1)) - 3*(-1 + sqrt(612)))**2 + 2*(sqrt(612) - (sqrt(612) - (1*sqrt(612) + 1)))**2)*-5*1.\nAnswer: -33715 + 420*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 280. Let z = -23 + i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27973?\nAnswer: 11, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -601.5013 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 5, 3, 35, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2. Suppose 3*u = -3*v - 9, -5*u - 5 + 0 = 3*v. Let x(w) = -2*w - u*w + 5*w. What is k(x(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {e: 9, o: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + (-1)\/(-3 - -2). Let p = 5 - w. Let d = 2 + 3. Sort d, 3, p.\nAnswer: p, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18320\/(-140) + 2\/(-14). Let m = 143 + g. What is the least common multiple of m and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*-16515420\nAnswer: 478947180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 3*k - 5. Let p = 2 + -1. Let m(u) = -4*u - 1. Let y be m(p). Determine d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.90021 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 (base 15) in base 4?\nAnswer: 22210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45974 and 22082.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let m(z) = -64018*z - 5. Determine t(m(q)).\nAnswer: 64018*q + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c**4 + 90*c**3 - 6172 wrt c.\nAnswer: -32*c**3 + 270*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 6*n**2 + 11*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v - 45*v + 93*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*2*sqrt(42) + ((sqrt(210) - -1*sqrt(210)) + sqrt(210))\/sqrt(5))\/(1*-1*sqrt(6) - sqrt(30)\/(sqrt(5) - sqrt(125))))**2.\nAnswer: 40*sqrt(7) + 2881\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -100, -224, -398, -622, -896, -1220?\nAnswer: -1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-2\/15)*w)*w**(-1\/6)*w assuming w is positive.\nAnswer: w**(29\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2385\/(-795))\/(18\/(-8) + 0 + 2). Is 442\/37 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d**2 - 12577*d. Let b(g) = -7*g + 16. Determine b(s(p)).\nAnswer: 77*p**2 + 88039*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59.9? (a) -0.2 (b) -5\/2 (c) -357\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 18 = 5*n + 12, 4*f = 2*n + 26 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -3627?\nAnswer: 10881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r - 54. Let p be z(-12). Calculate the least common multiple of 18 and 20\/p - 25\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-68 - -3) + 56\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 13835.\nAnswer: 4\/13835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2299 and 56639.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -16ae4?\nAnswer: -16ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6777732 (base 8) in base 10?\nAnswer: 1834970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 308 - (0 + 4 + -5). Is 27 a factor of 2*(n\/6 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -422 + 442. Solve -2*j = 2*j + w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 20) + 4 + -1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659988*c + 1328335*c - 668348*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82.7194 + -0.5906. What is h rounded to 0 decimal places?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w + 26 = 4*y, 10 = -3*y - 5*w + 6 - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 2*l + 92, 3*t - 4*l - 126 = 2*t + 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-68))\/((-6)\/42*21\/(-36)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (75 - 61 + 173)*(x**4 + 3*x**4 - 2*x**4) as m*x**2 + g + f*x**4 + d*x**3 + l*x and give f.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*v = -202 + 114, -5*o - 87*v = 466 for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1745600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (172 - 177)\/((-4740)\/(-24)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.05 (c) 2.7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -4 + -1 - (0 + -7345). Let u = d - 110213\/15. Find the common denominator of -113\/24 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4 (c) 0.4 (d) -33 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9880, 0.5, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 - 6 = 0. Let o(s) = -4*s**2 + u*s**2 - 7*s + 9 + 0*s**2. Let w be o(8). Calculate the highest common divisor of 170 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43\/(-9) - (-2)\/(-9). Let w = 30 + -34. What is the third smallest value in w, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002744638 rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2024 and 24775784?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, -6\/47, -1\/9, -1\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1015 or -2\/3?\nAnswer: -1015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*w = 0, 94*l - w = 98*l - 7. Factor 3\/7*m**3 - 3*m + 6\/7*m**l + 12\/7.\nAnswer: 3*(m - 1)**2*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*t + 42 = -222. Solve 0 = -2*j - t*j + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0003 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 1484.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -11*w + 9*w. Which is the closest to -1? (a) -0.18 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**7\/840 - c**6\/45 + 11*c**4\/24 - c**3\/3 + 1. Let d(k) be the third derivative of b(k). What are the prime factors of d(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 0*b**2 - 4 - 6*b**2 + 3*b**2 + b**3. Let a = 3 + 0. Give v(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1295\/3 + 430. Put 0.004, v, -0.2 in descending order.\nAnswer: 0.004, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 6*z - 161. Let h = 80 - z. Suppose -2*v = -6*v + 3*t + 60, -4*v + 60 = 4*t. What is the remainder when h is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*a + 26, -3*a = -k - 0*k - 2. Suppose 4*z - 5*d = 184, z - k*d - 188 = -3*z. What is the remainder when 202 is divided by z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*b + 48*b**2 + 3*b**2 - 132*b - 134*b.\nAnswer: 51*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**2 - 4*g + 4. Let a(x) = 63*x**2 - 27*x + 27. Let z(p) = 4*a(p) - 27*h(p). Let r(t) = -4*t. What is z(r(c))?\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4*u = 6*h + 352, 0 = 5*h - 3*u - 866. Suppose -2*n - h = -3268. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6218 rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-11 + 49\/7). Solve -4 = -3*c + 2*s, -10*c + p*c = 5*s + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 35)*1*6. Let y(a) = -4*a - 217. Let d(c) = 3*c + 207. Let v(w) = 7*d(w) + 6*y(w). Let t be v(39). What is the highest common factor of p and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -15\/16, -2\/7, -5, 0.03, -37, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*x - 49*x - 16 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 + u**2 - 1. Let i(p) be the first derivative of -3*p**2 + p - 1. What is the remainder when i(-2) is divided by q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/4 + 7*y**3\/3 + 25*y**2\/2 - 28*y + 33. Let d be j(9). Solve -5*c = -5*z - d, -5*z - 4*c + 1 = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + (3*(0 + sqrt(720)) + 4)*-4 + 2)**2*-1.\nAnswer: -104041 - 5472*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 769 = -183. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-112)\/(-63) - 4\/(-18). Suppose l*i - 36 = 4*i. Calculate the common denominator of 137\/12 and (-4)\/i - (-535)\/(-90).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30)*(-1)\/8*-6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b + 144 = 9. Let f be 14*(-2)\/12 - 3\/b. Let a(o) = -4*o**3 - 9*o**2 - 17*o + 8. Let m(n) = n**3 + 2*n**2 + 4*n - 2. Determine f*a(t) - 9*m(t).\nAnswer: -t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {e: 7, z: 5, n: 1, h: 1, q: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 42112 = 65*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8700000 = -3*m + 2*m. Round m to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69967?\nAnswer: 31, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 5128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 100258 and -0.26.\nAnswer: 100257.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 5*k + 2. Let a be 6\/(-9) + (-20)\/15. Let c(q) = -5*q**2 - 25*q - 11. Let y(f) = a*c(f) - 11*j(f). What is y(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200728865?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13352 is divided by 2099.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100000001011 (base 2) to base 9.\nAnswer: 27262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1087009 by 743.\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3139 + -3105. Calculate the highest common divisor of 8 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32264, 65171, 98090, 131027, 163988, 196979, 230006, 263075?\nAnswer: 296192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/13 and (-934)\/(-80) - (-13)\/65.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1961 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 1. Let o(s) = s - s + 5*s + 2*s - 2. Let y(q) = -2*a(q) + o(q). Let c(n) = n**2. Calculate c(y(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/4 - (-2)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(468) - 4*-1*sqrt(468)) + (4 + sqrt(468) + 1 - sqrt(468)))**2 + 2*sqrt(468) + 1 + (sqrt(468) + 1)*4.\nAnswer: 336*sqrt(13) + 11731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101011110 (base 2) in base 11?\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:37 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 + 24*x - 202. Let n(h) = 4*h**2 - 20*h + 203. Give -6*n(s) - 5*r(s).\nAnswer: s**2 - 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -28 - 62. Suppose 2*y = 3*y - u. Calculate the highest common divisor of y and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*y + 29, 2*y - 3*h = 2*h + 5. Suppose -3*s = 9, -y*q = -6*s + 8*s - 29. Let n = 4.01 - 0.01. What is the biggest value in q, n, -2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 7, 4, 3.\nAnswer: -18, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -235*q**2 - 63*q**2 + 29132*q - 29132*q. Let a(y) = -y. What is c(a(g))?\nAnswer: -298*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4905*m**2\/4 - 45673*m\/4 + 3438 = 0 for m.\nAnswer: 1528\/4905, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3388151677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 q, and 1 d when three letters picked without replacement from duilbqi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 6*z + 10. Let l = 21 + -23. Let o(w) = w - 2. Determine l*y(b) - 11*o(b).\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/384)\/((-5)\/(-2))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 79.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-400)*2\/4*-5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 25 + -5 + (0 - 0). Suppose 0 = l*n - 20*n + 10. Suppose n*a - 913 = -6*a. What is the remainder when a is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 329, 0.5, 1\/15?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n**3 + 22*n**3 - n**3 + 2 - 2*n - 6*n**3 in the form x*n**2 + u*n + h + w*n**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**3 - 17*a**2 + 24*a**2 - 18*a + 12*a. Let n(i) = 5*i**3 + 3*i**2 - 2*i. Let c(p) = -17*n(p) + 6*v(p). Factor c(k).\nAnswer: -k*(k + 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 328972 or 0.1?\nAnswer: 328972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 27529454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29654 - -29653. Let l = -0.165 + 0.288. Is l bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1976805 by -15.\nAnswer: 131787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k**2 + k + 1. Let r(v) = 6*v**3 - 5*v**2 - 6*v - 481. Determine 10*n(i) + 2*r(i).\nAnswer: 2*i**3 - 2*i - 952","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 4. Let i(j) = -j - 81. What is h(i(o))?\nAnswer: -4*o - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 49010*h - 12791617. Determine d(261).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 27, 4, 0 in ascending order.\nAnswer: -2, 0, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.1, 0.1, 1, -13, -2\/7993?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 1 - (sqrt(12) - sqrt(3))*-2 - -1*sqrt(75)*-1)**2 + -2.\nAnswer: 8*sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -119 + 149*h**2 + 60 + 67 - 2*h. Let w be a(-4). Suppose 0 = -5*r + w - 355. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 7*g + 7 = 2*s - 8*g, 6 = -2*s + 7*s - g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**4 + 82*v**3\/21 + v**2\/7 - 1049. Determine j, given that d(j) = 0.\nAnswer: -1\/42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 15. Let v be ((4 - x) + -2)*1. What is the closest to -0.1 in 3, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 956133.7 nanometers?\nAnswer: 0.0000009561337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7977278 and 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 86 = 29*d, -813*h + 20 = -6*d - 815*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 541206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109653 + 0*h**2 + 109263 - 21*h**2 - 218916.\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-4) - (5 - (-221)\/(-68)). Solve -4*a = 4*d - 7*a + 17, -4*a = -o*d - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 45 = -5*k + 2*t, 0 = 5*k - 4*t. Solve -k*d + 11 = -d - h, -4*h + 20 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*q**2 - 14696 + 7352 + 7344.\nAnswer: 366*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*((-5)\/(660\/(-2792)) + 112\/616)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -97. Let s be ((-504)\/15)\/(-1) - 16\/(-40). What is the highest common factor of s and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 22*k + 4 = 0. Suppose -3*d + 2*n + 283 = 2*d, -5*d = -k*n - 291. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 650 and 2366.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkkx when four letters picked without replacement from kxkxkkpxk.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7535.\nAnswer: 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbcccgbbbcc. Give prob of sequence cgb.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13*(-2 + 0) + 5 + -6. Suppose -2*c - x = -5*b, -4*c - c + 5 = b. Let h be c - (12\/(-3) + 2). Solve h = s - 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -24. Suppose -6*c + t*c = 0. Solve -5*q + c = 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {p: 1, w: 1, m: 3, s: 5}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-14)\/(-3))\/((-2)\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:07 AM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 + -31 + -19 + -2 + 30?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcxlcx. Give prob of picking 1 l and 1 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 9. Let j be w(-6). Let q = j - 16. Let n(z) = -1. Let d(a) = -25*a - 4. Let r(y) = q*d(y) + 4*n(y). Let o(p) = -p. What is r(o(s))?\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 20*p + 70 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885597271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 39*x**3 + 171*x**2 + 297*x + 162.\nAnswer: 3*(x + 1)*(x + 3)**2*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(10\/(-168)) - ((-60)\/225 + (-4)\/(-60))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2314*t + 712. Let y(v) = 3*v + 2. Calculate -q(j) + 356*y(j).\nAnswer: -1246*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -4*v - m + 170, -v + m + 38 = 0. Suppose 27 = 2*r + 75. Let h be 8\/(-6)*1*r. Are h and v nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 15) to base 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113252 * 595\nAnswer: -67384940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 19. Let s be w*((-8)\/(-12) + -2). Let b(j) = j**2 - 3*j + 4. Let f be b(8). Calculate the greatest common divisor of f and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 513145\/1463 + -6624\/19. Let a = 28\/11 - v. Determine b, given that -1521\/7*b - 117\/7*b**2 - 6591\/7 - a*b**3 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 12*w - 7. Let h be r(13). Let l(z) = 0*z + 3*z**2 - 7*z - h*z**2 + 2*z**2. What is l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from popooppooppppppp.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 2:36 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1687736.\nAnswer: 2, 210967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 640, 959, 1276?\nAnswer: 1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -78, -149, -208, -249, -266, -253, -204?\n\"Answer: w**3 - 78*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 + 6*q + 4028\/5.\nAnswer: -2*(q - 53)*(q + 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/9 or 472?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 5*i - 28, -m - 2*i + 12 = 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 739*w**2 - 2*w + 4. Let o(j) = 275643*j**2 - 747*j + 1494. What is 2*o(u) - 747*z(u)?\nAnswer: -747*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = -0*r. Suppose -7 = -r*b + 21. Let p = b + -8. Let t(d) = d - 6. What is t(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 - 9*w + 34. Give o(6).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in -3, 2, 4, 2.14, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 5\/4, -0.1, 2\/121, -33\/2, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:04 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 107, -2, 1, -3 in ascending order.\nAnswer: -3, -2, 0, 1, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7632 + 7685. Which is the smallest value? (a) m (b) -0.4 (c) -3\/2 (d) 2\/3 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 6*o)*(0*o + 4*o - 3*o + (-2 + 3 - 3)*(-4*o + 2*o + 3*o) - o + 0*o - o).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 2*a**3\/3 - 2. Suppose -6*u + 10 = -u. Let c(r) = -148*r + 148*r + 9*r**u. Give t(c(z)).\nAnswer: 162*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*g + 1424 + 425 = -4444 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 73?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/((-11)\/(-15) + (-402)\/(-670))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*r + 312 = -210*r + 442*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*c + 15*c - 30*c as p + a*c and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473*a - 33335 = -478*a. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 479*b - 3. Let m be p(1). What is the remainder when ((-6)\/(-2))\/(42\/m) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7100 divided by 1420?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h + 4. Let z be d(-3). Suppose 0*r + z = 5*r. Suppose -5*p = -r*g - 10, -3*p + 5*g - 2 = -0. Solve -p + 1 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2. Let f(i) = 6*i**2. Let j(m) = 5*m**2. Let y(u) = 6*f(u) - 7*j(u). Give b(y(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 36 = -44. Find the second derivative of 7*q - 2 + 3*q**n + 17*q**2 + 1 + 3*q - 5 wrt q.\nAnswer: 60*q**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 33 = 10*u. Let p(m) be the first derivative of 5\/3*m**3 + u*m**2 + 3 - 10*m. Find the first derivative of p(v) wrt v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1850 = -13*m. Let z = m - -190. Solve 0 = 3*r + z*d + 9, -2*d - 5 + 2 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 7*b**2 + 9*b - 8. Let d be p(8). Suppose 0 = 4*v - v - 9. Let q be (-6)\/v - (-28)\/4. Solve d = -4*u + q*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**2 - 79*u - 40. List the prime factors of j(28).\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 147*o**2 - 21*o - 147. Let b(g) = 37*g**2 - 5*g - 35. Let d(v) = 21*b(v) - 5*i(v). Let m(f) = -18*f**2 + 8*f**2 + 13*f**2. Determine d(m(t)).\nAnswer: 378*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-20) - 868\/10. Let z = q + 144. Calculate the remainder when z is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 126*k - 124*k - 8, -5*s + 5*k + 15 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 2*l**2 + 2*l**2)*(0 + 0 + 2*l) + 4 - 10 + 1 + l**3 + 17.\nAnswer: -l**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 0*a - 2*p - 10, -a + 10 = -3*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2 - (-153)\/(-34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2148992, 4297987, 6446982, 8595977, 10744972?\nAnswer: 12893967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(180)\/sqrt(729))\/(sqrt(20)\/(1*sqrt(2))).\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 725.28 + -705. Round y to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 30755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.57513 nanoseconds in seconds?\nAnswer: 0.00000000157513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -28599, -57211, -85825, -114441, -143059, -171679?\n\"Answer: -l**2 - 28609*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.192 - -0.128. Let z = 0.12 - 0.25. Let v = z + b. Sort v, -5, 0 in ascending order.\nAnswer: -5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/2*6\/(-9). Let k = 2 + p. Solve -3*m + 21 = m + 5*v, k = 2*v - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485 is divided by 158?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.7 + -5. Let s = 1105 - 1102. What is the closest to -2 in 5\/4, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -0.219 in descending order.\nAnswer: 9, -0.219, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 160\/(-12)*-15 - -3. Let w = -94 + s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11330 (base 14) to base 3\nAnswer: -2010022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*d = 32, -5*l + 5*d - 21 = -1. Let k be (l\/3)\/(2\/(-33)). Calculate the highest common factor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 + 129.99999943. Round k to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 956*c**2 + 145375*c + 7636332.\nAnswer: (c - 748)*(c - 249)*(c + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -17*y**2 + 9*y + 9. Let d(f) = -4*f**2 + 2*f + 2. Let q(t) = 18*d(t) - 4*s(t). Let b(k) = 16*k. Calculate q(b(u)).\nAnswer: -1024*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) + (-75)\/6. Let u = c - -18. Determine m, given that 2*m - 15 + 4*m**2 - 4*m + u*m + 16 = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(133)\/(sqrt(252) + sqrt(252)*1) - (sqrt(684)\/sqrt(108))\/sqrt(3))**2.\nAnswer: -19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.823 - -0.323. Sort 1\/2, t, 0, -2\/11 in descending order.\nAnswer: 1\/2, 0, -2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 624.3\nAnswer: -62.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15*h**3 - 5*h**2. Let j(l) = l**3 + l**2. What is i(v) + 6*j(v)?\nAnswer: -9*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19932?\nAnswer: 2, 3, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/53 or -88?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 583 - 50. Let a = 533 - w. What is m in 0 + a*m + 1\/3*m**4 + 0*m**3 - 1\/3*m**5 + 0*m**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 776 - 779. Let v(c) = -c + 2. Let f be v(5). What is the remainder when 123 + y + (-9)\/f is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485892 = 1831*i - 1777*i. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3982, -3983, -3984, -3985?\n\"Answer: -z - 3981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 32. Suppose -n*x - 878 = -6*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, 1, 61, 3632 in ascending order.\nAnswer: -7, -5, 1, 61, 3632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/189*9.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d = 0. Let m = d - -1. Is m >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*u - 569, -49 - 228 = -x - u. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1965\/4 - 6017\/12. Find the common denominator of 41\/11 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 555 = t - 1262. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 343251*w**2 + 9817579233*w + 49096477815.\nAnswer: 3*(w - 57211)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103180878 and 114645420.\nAnswer: 1031808780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -153*y**2 - 5*y - 1. Calculate g(1).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2501226639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + m - m - 1 - 3*m + 1 + (3 - 1 - 3)*(-2*m + 0 + 0) + (0 - 1 + 2)*(m + 0*m - 5*m) - 7 + 7 - 3*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1 - 3) + -5 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15537 divided by -2?\nAnswer: 15537\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2505, -1\/2, 79\/3, -4\/3?\nAnswer: 0.2505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 8*u + 1. Let j be d(4). Let h = -34 - -37. Calculate the greatest common factor of j and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2.02 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.187, -2, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -153857, -307687, -461531, -615395, -769285, -923207, -1077167?\n\"Answer: -x**3 - x**2 - 153820*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2 - 1. Let f(k) = 3*k**2 - 1310. What is -d(q) + f(q)?\nAnswer: -q**2 - 1309","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121075\/(-835))\/((-15)\/6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97652932?\nAnswer: 2, 13, 19, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -384, -583, -780, -975, -1168?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 4.2295675.\nAnswer: 4.6295675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 6*f + 6. Let d(l) = -3*l**2 - 8*l - 8. Let h(o) = -3*d(o) - 4*m(o). Let i(c) = 2*c**2 + 2*c**2 - c**2. Calculate h(i(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -2\/3 (b) 1\/3 (c) -16 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-26) + (-575)\/(-65). Suppose 5*l = 2*t - j, -5*l + l + 4 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.0777266 (b) -4\/3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a factor of 11231866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20ac + a?\nAnswer: 20b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-seven fifths of a hour?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 142*o + 41 = -137*o, 3*r = 2*o - 84 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 2*c + 1. Let n be q(-2). Let y(m) = m**3 - 2*m**2 - m - 6. Let w(i) = 1. Calculate n*y(g) + 6*w(g).\nAnswer: g**3 - 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1924412\/179 at most -10750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277*f*o**3*q + 5*f*o**2 - f*q + 20*o**3 + 1 wrt q.\nAnswer: 277*f*o**3 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14244 + -14240. Find i such that 3\/5*i**5 - 12\/5*i + 9\/5*i**3 + 0 - 12\/5*i**2 + 12\/5*i**u = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1884 at least as big as -1885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1708 - -2411. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(19))*3 + (sqrt(114) + 2*sqrt(114))\/sqrt(6) + 1 + ((sqrt(76) - (sqrt(76) + sqrt(76)*-1))*1)\/(1*sqrt(256) + sqrt(256)).\nAnswer: 3 + 97*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2123 and 1576038?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 6. What is the second smallest value in 1, -5, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v + 4*v - 19*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 9:01 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*l**2 - 57*l**2 - 14*l**2 + 44*l**2 in the form g*l + y*l**2 + p and give y.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 9*s + 6. Let k = 35 + -51. Let d = -22 - k. Give h(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (sqrt(11)*-1)**2 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -990359*0.5\nAnswer: -495179.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 943\/7 - 5665\/42. Put l, 5, -0.4, 0.024, -5 in ascending order.\nAnswer: -5, -0.4, l, 0.024, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1069.3 - -1069. Which is the closest to 0.02? (a) u (b) -0.2 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1532.8 - -1531.2. Sort t, -4, -0.5, 12 in descending order.\nAnswer: 12, -0.5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/20))**(1\/21)*((r\/r**5)\/r)\/((r\/r**(1\/22)*r)\/r))**(-37) assuming r is positive.\nAnswer: r**(1017463\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41647824 a multiple of 848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 11*s**2 - 18216*s + 54645. Determine r(3).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b + 2*b + 7*b. Is 472\/3 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6394 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2227\/36 + -550\/9. Which is the nearest to 2? (a) z (b) 13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 127 - 22)*(-6 + 4 + 4)*(2*b + 3 - 3) as m*b + n and give m.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)*s*s**(-10))\/(s\/(s\/(s\/s**16))*s*s**(4\/9)) assuming s is positive.\nAnswer: s**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 4. What is a(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*o**2 + 123*o**2 - 140*o**2 - 31*o**2 + 2.\nAnswer: -158*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*t + 6, -5*j + t - 1 = 7. Let c = 25 + -46. Let m be j\/(-3) - (-14)\/c. Solve m = a + 2*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 16*x**3\/3 + 2. Let b(q) = 2*q. Calculate b(k(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (4 - 1)) + 23 + -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 + 3*b + 5*b**2 - 3 - b**2 - b**2. Calculate q(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**3 + 138*f - 271*f + 5*f**4 + 280*f**2 - 267*f - 55*f**3 - 4*f**3.\nAnswer: 5*f*(f - 5)*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407291307 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*s = 6, 2*y + 4*s = -2 - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 9*z**2 + 10*z - 7. Let k be c(10). Let m(n) = n**3 + 7*n**2 - 2*n - 8. List the prime factors of m(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 345 = 117. Suppose 8 = k + k, -3*l + 3*k = -v. Which is greater: 82 or l?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7351 + 7351. Let o = -0.2 - 1.8. What is the third smallest value in 1\/28, z, o, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2277 is divided by 394?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -272 - -275. Solve 3 + 0 = -v*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9510 and 11443700.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798357053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {n: 1, z: 1, g: 3, s: 4, r: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 8*m - 2. Let s be 16\/(-6)*(-105)\/28. Let i be o(s). Solve -i = 5*h + 3*t + t, 3*t + 2 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 + (-1955 - -1970 - (29 - 1))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/4)\/(j\/(j**(-1\/3)\/j)*j*j) assuming j is positive.\nAnswer: j**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*s**3 + 7*s**3 + 6*s**4 + 22*s**2 + 0*s**2 - 16*s + 16*s.\nAnswer: 2*s**2*(s + 11)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 389 = x - 4*d, 390 = 5*x - 5*d. What is the greatest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 208 = -22*z, z - 4*z = -z - 6*z - 40 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -847935*m**4*y - m*y + 30574*m - y + 1 wrt m.\nAnswer: -10175220*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*x, -3*x - 2*x = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -6 - 19, 2*r = -3*k + 3425. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1038 + -30?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*b + 20*b + 252. What is the hundreds digit of 8908\/22 + b\/396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2297, 2317, 2337, 2357?\n\"Answer: 20*s + 2277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23172033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*y + 14*y**2 - 58*y**4 + 30 - 15*y**3 - 29*y**2 + 31*y**4 + 32*y**4.\nAnswer: 5*(y - 3)*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -340*k**4 + 520*k**3 - 32736*k**2 wrt k.\nAnswer: -8160*k + 3120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*k + 3 + 45 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -11365, -5, -1, 1\/4, -4\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301123 + -113102003?\nAnswer: -121003132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.8, -1\/8, -32\/57, -1.1?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w - 6. Suppose 0*j + q = -2*j + 7, -17 = -5*j - 3*q. Suppose -b + 0*b = j. What is the least common multiple of r(b) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124830 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**6\/180 + v**3\/3 + 1. Let o(p) be the third derivative of z(p). Let t(u) = -2*u**2. Calculate t(o(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, q: 5, e: 1, k: 5}. Give prob of picking 1 e and 3 k.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2 + 1442*x - 519841 = 0.\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176, 172, 152, 104, 16?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - a + 6 = 0, 4*w = -a - 2 - 2. Let k be (-4)\/w - (-1 - 4 - -4). Solve 20*x - 17*x = k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -80 (b) -2236 (c) -0.133 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 1, p: 5, d: 2, q: 2, z: 2}. Give prob of picking 1 d, 1 x, and 1 p.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 14418066.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2389*l + 3984*l - 1594*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 373237 - -1362728916?\nAnswer: 1363102153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738*o**3 + 275014*o**2 - 275014*o**2.\nAnswer: -738*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -231*w**2 - 1382*w + 43. Calculate k(-7).\nAnswer: -1602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -261?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + 812)\/((-1)\/(-166)*-2). Let y = -45213 - g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -22\/9, -3\/47, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a**2 + 34*a - 64. Determine m(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 253\/36 + -16981\/2520. Find the common denominator of d and -3\/350.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -192 - 1\/8*v**4 + 10*v + 3\/2*v**3 - 6*v**2. Suppose c(a) = 0. Calculate a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1852854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*a - 144, -5*a + 42 = 6*t - 5*t. What is v in 14*v**2 - t*v**2 + 9*v**2 - 256 + 64*v = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72754\/5165 greater than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Let p be (15\/(-2))\/((-5)\/10). Let k = p - x. Solve -5*s - k = -j + 7, 0 = 4*s + 3*j + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 328168, 328193, 328218, 328243, 328268, 328293?\n\"Answer: 25*y + 328143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -390f (base 16) to base 5\nAnswer: -431412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/120 - g**5\/12 - 5*g**4\/24 - g**3\/3 - 3*g**2. What is u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*g + 146. Let w = -373 - -379. What is the smallest common multiple of g and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 26, 23, 14, -1, -22?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079731687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, 0.2, 2, -2\/5, 5\/3, 2\/161 in decreasing order.\nAnswer: 153, 2, 5\/3, 0.2, 2\/161, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggdmggdmd. What is prob of picking 2 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2301 - -2308. Let z(c) be the second derivative of 0 + 0*c**3 + 0*c**4 - g*c**2 + 0*c**5 + 23\/30*c**6 - 11*c. Differentiate z(i) with respect to i.\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 32*a**3 - 120*a + 0 + 80*a - 5 - 68*a**2 = 0. What is a?\nAnswer: -1, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 234 + 5*s**2 + 12*s + 225 - 2*s**2. Let v be a(-13). Let u(l) = l**2 - 4*l. Let c be u(4). Solve c = -0*z + v*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 35*b - 5. Let o(k) = -36*k + 6. Suppose 96*a = -3*t + 100*a + 1, -4*a = 2*t + 26. Determine t*o(d) - 6*x(d).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.029 + 0.079. Which is the smallest value? (a) 1 (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -10. Let n = -2 - m. Let l(s) = -s - 2. Determine l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4*q = -16, -36*q - 67*q = -3*x - 200 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 4:24 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-132)\/10 + 2)\/((-272)\/(-5880)). Let i = b + 238405\/986. Calculate the common denominator of i and 45\/11.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 953*g**3 - 5*g**2 + 14*g - 10. Let h(b) = b**2 - b + 2. What is -5*h(z) - y(z)?\nAnswer: -953*z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 3*x + x + 5*y, -2*y = 0. Suppose x*t - 120 = 23*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -33\/25474?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16144566 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2. Suppose -4*i + 6 = -5*i. Let j be i\/(-10) - (-106)\/(-10). Let y = 8 + j. Let g(b) = 2*b**2. What is y*g(d) + 3*f(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 399 and 63?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 2, c: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 2*k + 44 - 152 + 3*k - 2*k.\nAnswer: 3*k - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 434453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -37. Suppose -4*i = 3*p - 8, -2*p - 3*p + m = -i. Let y be (i + 0)\/((-2)\/4). Solve -y*n = 2*h - 10, 0*h - 2*h = 4*n - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 4:28 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 20 + 8. Suppose 17*r - 12*r = -155. Calculate the least common multiple of n and r\/(-8) + 16\/128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1305 * 3706.\nAnswer: 4836330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 64 = -92*k. Let i(s) = 11*s**3 + 2*s**2 + 2*s - 3. Give i(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*(1085\/15 + 3). Let b = 128 + r. Solve -2*z - 2*u = 0, -u - b = -4*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/(-90))\/(-2))\/((-12)\/(-820))*3\/2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:25 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4090*m + 674*m - 249018 = 357*m for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + -2*(sqrt(35) - sqrt(35)*-1))\/(sqrt(320)*-2)*-4.\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 13, 1, -15, -35?\n\"Answer: -2*z**2 - 2*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152 - -164. Let h(x) = 14*x + 14*x + v*x - 22*x. Let y(k) = -4*k**2. Let a(q) = -5*q**2. Let c(n) = -3*a(n) + 4*y(n). What is h(c(g))?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 4) + (63 - (33 - 7)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (-1700)\/140)\/((-2)\/(-14))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-8)\/10) - 12\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195143608?\nAnswer: 2, 11, 2217541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.216327 rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4355890 and 7350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (445\/(-10))\/(7 + (-13)\/2). Is -351\/4 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 28*n + 17*n + 236 = 0. Sort 0.4, n, 1, -13, -1 in decreasing order.\nAnswer: 1, 0.4, -1, n, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -7\/338, -23, 2\/45, -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:43 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 8*i**2 + 6. Determine k(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = p - 3, 3*k - 11 = 4*p. Suppose -3*f + 14 = 2*a, k*a + 5 - 1 = -f. Suppose 0*t - f = -3*t. Solve t*l + h = -9, l = -3*h - 4 + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. Suppose 0 = -4*c + 5*m - 25, -c = -0*m + m - a. Let x = 765 + -762. Sort x, 5, c in decreasing order.\nAnswer: 5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117 + -62. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -18, -263, 0.5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132883*u**3 - 5*u**2 + u - u - 132886*u**3 + 5*u**2.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -0.4 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 665, -3 in decreasing order.\nAnswer: 665, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -13 - 1\/6*b**3 + 3*b**2 - 2*b. Let j be (0 - 1)\/(-1) - 1. What is l(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 3 - 5*i + 2*i.\nAnswer: -3*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1, 1, 0, -10, 7\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00241743 rounded to 5 dps?\nAnswer: 0.00242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3925386, -7850635, -11775884, -15701133?\nAnswer: -19626382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 248*j + 88. Let l(w) = w**2 - 110*w + 44. Let k(u) = 9*l(u) - 4*m(u). Calculate k(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-3))\/1 + 3. Suppose -4*o = -3*o - a - 487, -g = 5*a. What is the first derivative of -4*l**4 + 465 + 18*l**4 - o wrt l?\nAnswer: 56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Suppose -3*g - 26 = -h*g. Calculate the remainder when 35 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -3)**2 + -1 + sqrt(396) + sqrt(11).\nAnswer: -23*sqrt(11) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4\/5, 0.11, -2, 0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-374)\/510)\/((-6)\/45).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.145 - -0.088. Round v to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 10*n**2 - 6*n - 15. Let i be g(-9). Let b = i + -80. Let z = 9 - 4. What is the greatest common factor of b and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 12. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 158*(7\/(-2) + 4). Suppose -47 = 3*u + l. Let w = u - -48. What is the remainder when 29 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.64009 to two dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 212. Let c = f - 36. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*39\/(-156)*8\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 7) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 310 + -307. Solve d - 3 = 2*m, 3*m + d + 9 + v = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugwfzffgzgtwggf. Give prob of picking 1 z and 3 f.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 36.3. Let j = k + 1.3. Which is the second biggest value? (a) -0.01 (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u + 104 = 0. Calculate the greatest common factor of 39 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746220 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -663*o**2*v**6 - 3*o**2*v**4 - o**2 + 488*o*v**2 wrt v?\nAnswer: -79560*o**2*v**3 - 72*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 - 621556*m\/7 - 48291482642\/7.\nAnswer: -2*(m + 155389)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116443 <= 116333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**30\/((y\/y**(-36))\/y))**(-1\/38) assuming y is positive.\nAnswer: y**(3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, z: 3, d: 1}. What is prob of picking 1 z and 1 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 84, 68, 28, -48, -172, -356?\n\"Answer: -2*d**3 - 2*d + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 8. Let p(d) be the second derivative of d**3\/6 - 221*d. Calculate p(b(o)).\nAnswer: o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -657825, -657856, -657917, -658014, -658153, -658340?\nAnswer: -658581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350999 and 2479517?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -719? (a) 1 (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-279)\/(-36) + 10 + (-4)\/(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101.3 - 97.3. What is the smallest value in 0.2, -367, l?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 178, 184, 208, 256, 334, 448?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*c**2 - 183*c**2 + 242*c**3.\nAnswer: 242*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 115.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**3 + 4*g**3 - 5*g**3)*(-4*g + 4*g + 2*g) + (-4 + 3 + 2)*(8*g**3 + g**4 - 8*g**3) to the form f*g**4 + n*g**2 + t*g**3 + w + u*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 32*w**3 - 39*w**2 - 4*w - 19. Is b(7) a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4146522578 is divided by 8102.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 502 - 7*g**3 + 19*g**2 - 1809 - 13*g**2.\nAnswer: -7*g**3 + 6*g**2 - 1307","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 19*y = -30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x - 70*x - 49*x - 5*x.\nAnswer: -128*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:06 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 2a10969?\nAnswer: -2a10967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3915601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t + 1 + 2*t**3 + 7*t + (7*t - 3*t - 2*t)*(2*t**2 - 2*t**2 - t**2) + 882*t**2 + 371*t**3 - 882*t**2 to k*t**3 + s*t + w*t**2 + q and give k.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 + -1)) + (31 - (12 + 27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 49*k**2 + 11*k + 43. Is c(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 4.8355797692084.\nAnswer: -4.6355797692084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*n - 15 = 0, t + 11*n = 13*n + 3. Let j be -2 + 0 + -26 + 0. Sort j, t, 2, 4 in increasing order.\nAnswer: j, 2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 108.7. Let c = -10.2 + 10.5. Let q = a - c. What is the closest to 2 in 1, -3, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.282 + -142.282. Let j = t - -94. Let n = -49 - j. Which is the closest to n? (a) 2 (b) -3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose 5*q + 0 - 15 = c. Solve 5*d - 17 = u, -d + q*u = -2*d + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0 - 1\/24*q**4 + 27*q**2 + 5\/6*q**3 + 0*q. Let f(x) = -x + 19. Let g be f(12). Give a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 4, i: 4, z: 3, p: 2, u: 2}. Give prob of sequence pzzz.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -190, -202, -236, -298, -394, -530, -712?\nAnswer: -946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -34*s**2 + 8*s. Let w(m) = -60*m**2 + 14*m. Let x(j) = 7*b(j) - 4*w(j). Let i(k) = -1113*k. What is i(x(t))?\nAnswer: -2226*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -367*i + 14. Let h(t) = 371*t - 17. What is -6*f(r) - 5*h(r)?\nAnswer: 347*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - q**2 - 45. Let s = -18 - -18. Let i be c(s). Let j = i - -48. Solve 0 = -j*n + 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*w - 2*z - 190, 5*w - 171 = -2*z. Solve 0 = -9*v + 10 + w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 1, -196 in descending order.\nAnswer: 1, -43, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3 + 42*m**2 - 288*m + 648 = 0. What is m?\nAnswer: 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 809713413 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = 0. Suppose -3*r - 5*q + 5 = 0, 0 = 6*r - 5*r - 5*q - 35. Suppose 875*c - 865*c = r. Solve g - c - 2 = z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/36 and (25\/(50200\/(-16)))\/(48\/42099) - -7.\nAnswer: 18072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 0.1, 21, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -2*n**3\/3 - 836*n**2 + 1674*n - 1607. Let b(v) = 0. What is v?\nAnswer: -837, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgbbbggbbgbbbbbbbbbb. What is prob of sequence ggb?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -96*y**2 - 3\/2*y**5 - 96*y**3 - 21*y**4 + 384*y + 768 = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-30)*18\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -200 - 216. Solve 2*f + 3 = 3*a + 4*f, 4*a - f - p = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -547*i**4\/4 - 358*i**2 + 688. Find the second derivative of x(o) wrt o.\nAnswer: -3282*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 10:37 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in -2\/5, -2, 2, -234, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**7\/42 - 769*a**4\/3 + 6827*a**3\/3 - 2*a - 486. Find the second derivative of x(o) wrt o.\nAnswer: -20*o**3 - 6152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011089357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0.024, 2, -35\/3, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(267*f - 31*f - 92*f)*(0 + 2 - 3).\nAnswer: 288*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let i be (-1)\/2*(h - -1). Let b(s) = 29*s + 58. Let g(c) = -11*c - 20. Let q(x) = -3*b(x) - 8*g(x). What is q(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 127*j**2 - 1386*j - 77. What is r(73)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 243?\nAnswer: -315.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45300)\/(-21140)*(-4)\/(-10)*(-42)\/46?\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1743+-172406\nAnswer: -174149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 21. Suppose o - 3*o + z = -5*q, 0 = 4*q + 4. Let k(b) = b**2 + b - 1. Let r be k(-2). Which is greater: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14998722 * 2.\nAnswer: 29997444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 30 - 18. Sort -5, w, 2 in descending order.\nAnswer: w, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 30 + 5, 5*n + 5*b + 2055 = 0. Let o = n + 418. Factor 74\/3*k**2 + 24 - o*k**3 - 80*k.\nAnswer: -2*(k - 6)**2*(3*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*j + 32 = 0, 7*j = -k + 4*j - 19. Let t be 4*(2\/20)\/(-1). Which is the closest to 1\/4? (a) 2 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2857 = 5*l - 98. Let x = -1835\/3 + l. Calculate the common denominator of x and (-137)\/15 + (-2)\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 - 5*w - 37. Let j be d(8). Calculate the greatest common factor of j and 2185.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0*d**3 - 11\/15*d**5 + d**4 + 0 + 2\/15*d**6 + 2\/105*d**7 + 0*d + 28*d**2. Factor u(g).\nAnswer: 4*g*(g - 1)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 24*c**2 + 4*c + 30. Let k be q(-24). Let v = k + 198. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-910\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1601, -1587, -1549, -1475, -1353, -1171?\n\"Answer: 2*k**3 - 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-3*-2)\/sqrt(7).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (122\/732)\/(1\/54).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853353 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: Expand (-3*f + f + 0*f)*(4*f**2 - 3*f**2 + 0*f**2) - 11*f**3 + 3*f**3 + 5*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*sqrt(500) + 0 + 5*(5 + sqrt(500)) + 0))**2.\nAnswer: 16000*sqrt(5) + 42000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 165827, 165860, 165911, 165980, 166067, 166172?\n\"Answer: 9*d**2 + 6*d + 165812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*57.1.\nAnswer: 1.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 5. Determine w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2770, -5545, -8322, -11101, -13882, -16665?\nAnswer: -19450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 1. Let s(j) = -3*j**3 - 4*j**2 - 5*j - 8. Let x(v) = -v**3 - v. Let l(h) = s(h) - 4*x(h). Let o(f) = 5*b(f) - l(f). Determine o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = 59*d + 574 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(5\/7))\/((m*m**20\/m)\/m) assuming m is positive.\nAnswer: m**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-362)\/(-8) + (-45)\/36. List the prime factors of (-1 - 15)\/((-11)\/n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 2:27 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206 - 48. Let p = -161 + f. Sort -7\/4, 3\/4, 0.2, p in decreasing order.\nAnswer: 3\/4, 0.2, -7\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a6cd3 (base 14) to base 10\nAnswer: -5243577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62556675 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*1\/(2\/(-4)*-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.069255 + 2.\nAnswer: 1.930745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 57792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z**2 + 2*z - 2*z + (-2*z - z + 2*z)*(-3*z + 6*z - 2*z) + 3*z**2 - 2*z**2 + z**2 + (-4*z**2 + z**2 + 2*z**2)*(-1 + 2 - 2) + 4*z - 4*z - 2*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -174*a**2 - 12*a + 205. Let g(u) = -u**2 + 2*u - 1. Let r(c) = -6*g(c) - m(c). What is the first derivative of r(y) wrt y?\nAnswer: 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1636 and 3\/6544?\nAnswer: 6544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 14*r - 12. Let w be v(3). Suppose 3*c = w*b + 1167, -11 + 5 = -3*b. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1504345997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -21*y - 14*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, 22, 99, 250, 499?\n\"Answer: 4*r**3 + r**2 - 4*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -669, -1555, -2859, -4617, -6865?\nAnswer: -9639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3909 is divided by 112.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auc when three letters picked without replacement from cnvquaua?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 n, and 2 r when four letters picked without replacement from {s: 1, t: 11, r: 5, n: 3}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -4*d - 4*s - 84, 20*d - 5*s + 70 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8052285 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) 3\/8 (c) 5\/4 (d) -106319 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -116?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3591, -13915, -31121, -55209, -86179, -124031?\nAnswer: -168765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144918 and 1494?\nAnswer: 144918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280 = 95*t - 63*t. Let l be 0 - (-9 + -2) - 0. What are the prime factors of (t - l)*(-8)\/6?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*f = -21, f + 3 = 3*x - 3*f. Let q(d) = -d + 4. Suppose 5*z = 3*z - 5*i - 9, 0 = -3*i - 3. Let t(s) = s - 3. Determine x*t(w) + z*q(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553.2749s in days?\nAnswer: 0.01797771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282 and 6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 6*g + p + 2800, 1840 = -2*g - 6*p. Let b = g + 2091. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28665389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5408 + -204169.\nAnswer: -209577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*g - c + 40, -6*c + 10 = 5*g - 7*c - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 82, -250, -3 in ascending order.\nAnswer: -250, -3, 2, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2. Let h(f) = -18*f**2. What is b(h(a))?\nAnswer: -1296*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33316 times -0.08?\nAnswer: -0.0266528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 154. Suppose -2*s - 2*d = 3*d - 35, -3*s + 2*d = -k. Suppose s*b - 26*b - 680 = 0. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9311325*-4.\nAnswer: -37245300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*z + 6, 2*c + 3*z - 3 = 4*c. Let m be 6 + -2 - 1 - (c + 2). Let h(v) = -2*v**2 + 13*v - 2. What is the remainder when 33 is divided by h(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/4 - 139148*f**2 - 1113187*f\/4 - 278297\/2 = 0. What is f?\nAnswer: -1, 556594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085823 is divided by 721.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34389*i + 30924*i + 22380*i)*(3 + 2*i - 3).\nAnswer: 37830*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*((sqrt(170) + sqrt(170)*5 - sqrt(170))\/sqrt(10) - (-1 + (sqrt(17) - (sqrt(136)\/sqrt(8))**2))).\nAnswer: 12*sqrt(17) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 1. Let o be x(-1). Suppose o*v - 5*v - 15 = 0. Which is smaller: -9\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -9. Let v(m) = 2*m**2 + 3*m - 2. What is the units digit of v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1590128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16876776*l - 16876776*l + 13306*l**2.\nAnswer: 13306*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101010111001 (base 2) to base 14.\nAnswer: -6d85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = d - n, -5*d - 5*n - 15 = -8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v**2 - 2*v + 10. Let m be x(-6). Let y = m - -593. Sort -30, y, -1 in ascending order.\nAnswer: -30, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136634 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 34274*2\/36 - (-42)\/(-378) - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64011110 to the nearest one hundred thousand.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 72, 2, -638.51?\nAnswer: -638.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23533998 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12485, 12026, 11275, 10232?\nAnswer: 8897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 70540 and 70537 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a hour in seconds?\nAnswer: 51120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/11 + 54366*i**2\/11 + 2611825*i\/11 + 2557458\/11 = 0 for i.\nAnswer: -47, -1, 54414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus -262616653?\nAnswer: -262616663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 37, -97, -173, -191, -151?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025315 rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -130121.3 rounded to the nearest one thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n*n**(-2\/3))**(-34) assuming n is positive.\nAnswer: n**(-340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1627248 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-704)\/(-174) + -2. Let i = 130\/957 + w. Which is the biggest value? (a) 4 (b) 0 (c) 2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by 2644?\nAnswer: 127\/2644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -12. List the prime factors of 9 - a - (-19 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 e when three letters picked without replacement from {r: 5, e: 2, u: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 14*l**2 + 16*l + 3. Let f be o(13). Let j(w) = -14*w**2 - 5*w - 5. Let q(g) = 119*g**2 + 42*g + 42. What is f*j(x) + 5*q(x)?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + 2.1. Let j be 4 + (35\/(-25) - 3). Which is the nearest to -1? (a) -20 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380882.\nAnswer: 2, 157, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(4) + sqrt(16) + sqrt(4)))\/(-3*sqrt(216) + sqrt(216) + sqrt(216)).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -32133110?\nAnswer: 32133032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4)*y)\/y*y)**(16\/7)\/(y*y**(-4))**(-6))**3 assuming y is positive.\nAnswer: y**(-522\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -5. Is (5\/(10\/(-76)))\/c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208620569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*t - 60*t - 38 = 56*t for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d + 4. Suppose -3*q + 21 = 3*x, 0 = 2*x - q - 4 - d. Solve -x*v + 3*l = 35, 6*l - 30 = 5*v + 4*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/3)\/n)**(1\/8)*(n**8)**(-32) assuming n is positive.\nAnswer: n**(-6151\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -575*g*l**4 + 123048*g*l - 154*l**5 + l**2 wrt l?\nAnswer: -13800*g*l - 9240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f + 6. Suppose -f*n + 47 = -19. What is the remainder when n is divided by (-1)\/(-3) - 368\/(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 6*l. Let w be k(5). Let a be (-2)\/6 - w\/(-15). Sort a, 0, 3.\nAnswer: a, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least 0.000778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-66))\/(426\/568*6\/135)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(32) + -1.\nAnswer: -3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(-1)*4. Suppose -f*g + 6*g - 12 = 0. What is the third derivative of -z**6 - z**2 + 4*z**5 - g*z**5 - z**5 wrt z?\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2838*a - 176368 = 2822*a. Calculate the highest common divisor of a and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14412 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -3665492?\nAnswer: 3665501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(0 + 17\/(-3)). Let z = 12 - r. Let k = 14 + -14.3. Put 0.2, k, z in decreasing order.\nAnswer: 0.2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2866 and 7165.\nAnswer: 14330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/63 + (-5)\/(-7) + -1. Let w(f) = -7*f + b*f + 2*f + 7*f. Let c(d) = -d - 8. Give w(c(l)).\nAnswer: -2*l - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 30 - 1445136*j + 1445134*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w - 7. Suppose 3*o + g + 16 = 0, o = 5*g - 3 - 29. Let j(t) = 3*t - 6. Calculate o*j(b) + 6*y(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(4\/13))\/(d*d**(-4)*d))\/((d**(-7\/3)\/d*d)\/d)**(-3\/2) assuming d is positive.\nAnswer: d**(-30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1 - -58 - (21 + -23 + 11)) + 10?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 399719685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309129 = 5*r + 4*s, -5*r - s - 214363 = 94763. Let x = r + 18927. Let d = 1437102 - x. Round d to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 4*p - 3*p)*(-p - 3 + 3)*(-p - 15 - 8 - 6) in the form h*p**3 + l*p**2 + s + t*p and give l.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -330\/19 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1243, 216, -1.\nAnswer: -1, 216, 1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -44 from -16.2.\nAnswer: 27.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 44*i**2 - 15. Let g(u) = 8*u. Let s(q) = -32*g(q) + 3*p(q). Let r(w) = -99 + 99 + 5*w. Determine s(r(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.864 + -4.864. Let r = 2 - 0. Which is the nearest to -4\/9? (a) -5 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 + -296. Let j = z - -181. Calculate the smallest common multiple of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27729 is divided by 522?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l + 12. Suppose 7*z - l*z - 12 = 0. Solve -z*m + 0*m - 24 = 5*w, 0 = -3*w + 4*m + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, -5, 0.523?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o. Let t(i) = -i - 6. Let q(r) = r**3 - 7*r**2 - 7*r - 8. Let f be q(8). Let y be t(f). Let c be (1 + 0 + 1)*y\/12. Determine d(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -151*z**2 + 8759*z - 122. Give u(58).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 90*o**3 + 2*o**2 - 7*o + 1. Let v be r(2). What is the greatest common divisor of v and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1266 = 3*n - 2*s, -105*n + 106*n + 2*s = 414. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 1 + 1)*(-3*p**3 - 2*p**3 + 3*p**3) - p**3 + 2*p**4 - 3*p**4 + 3*p**4.\nAnswer: 6*p**4 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3392?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - -4) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1045271878 + 12.6.\nAnswer: 1045271890.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -261008 and -1871.4.\nAnswer: -262879.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2084*u + 34800 = 4984*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -218*b + 24636. Let q be d(113). Factor 20\/3 + 15*v**q + 100\/3*v.\nAnswer: 5*(v + 2)*(9*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20217 divided by -3.\nAnswer: 6739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10526 + -10526.27915. Let y = 0.28 + s. Round y to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229.0272 + 0.0272. Let m = n + 231. Let f be (-5)\/3 + (2 - 0). Sort 1, f, m in ascending order.\nAnswer: f, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3076 from -34653526.33.\nAnswer: -34656602.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2244 and 1188.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -126*y**2 - 7*y - 1. Let k(f) = 19*f. Give k(l(x)).\nAnswer: -2394*x**2 - 133*x - 19","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 15. Let z be 8\/(-4) + t + 7. Solve 0 = -2*l + z + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1032.2 - 1032. What is the third smallest value in g, -22, 3\/4, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 29*m + 14. Calculate c(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 21*g + 168 = 0. Suppose 4*b - g = 46. Let q be ((-2)\/(-1))\/((-4)\/b). Which is smaller: q or -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/21 + (-18)\/9. Put -0.14, x, -0.04 in ascending order.\nAnswer: x, -0.14, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 4*n. Let i be z(4). Let q(d) = d + 1. Let k be q(-5). Let o = 2 + k. Sort i, 2, o in decreasing order.\nAnswer: 2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/8? (a) 0.5 (b) -0.5 (c) 0.2 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1658 + 1661. Calculate the greatest common factor of g and 173.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 2*o - 6*o + 2)*(6 + 4*o - 6) as x*o + r*o**2 + l and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8898 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 50176 + 21636 = 0. Let j(s) = -s**2 + s**3 - 5514*s - 3 + o*s + 9*s**2. What is j(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46*(-2 + (-10)\/(-4)). Let d = 118 + -82. Let k = d - q. Is k at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**3 - 4*l + 4*l**2 + 3 - 11*l**2 + 6*l**2 + 3*l**2 - 1. Give o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 times 10?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -554*x**3 + 5*x**2 - 10. Let k(g) = 122711*g**3 - 1108*g**2 + 2216. What is 1108*f(q) + 5*k(q)?\nAnswer: -277*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(9\/106))\/(4\/(-6)). Find the first derivative of -22 + 20*b - j + 1 + 9*b wrt b.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/315*((-40)\/(-23) + -1 + -2) and -44\/299.\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxhv when four letters picked without replacement from {v: 2, x: 5, h: 2}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32283 and 459?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2) + 1 + -1. Let k be 1\/h*(-96)\/(-40). Let l = -0.1 - 0.4. Put l, k, -5 in decreasing order.\nAnswer: l, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/(-209) + (-238)\/22. Let p = l - -13. Find b such that 0 - 14\/3*b**2 - 4\/3*b**3 + p*b**4 - 4\/3*b = 0.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010101111 (base 2) to base 9\nAnswer: -1572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4033 = 511*x - 3632. What is the highest common factor of x and 23880?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -373.1553.\nAnswer: 372.9553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 57 = 3*c, -c + 6 - 2 = 0. Suppose 0 = 2*m - 8, 2*a - 4*a = -5*m + 14. What is the remainder when d is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**15)\/t**5 assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 60. Let o(v) = v**3 - 7*v**2 - 4*v + 986. What are the prime factors of o(r)?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from saswg. Give prob of sequence swg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9152 and 0.5.\nAnswer: -4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*q - 4*q. Let r(c) = c**2 - 4*c - 18. Let k be r(7). Solve -k*p = -3*x, 4*p + x + 5 + q = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3902319 - 2273*i - 3902319.\nAnswer: -2273*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2 + 37706726*n + 7541345 = 0. Calculate n.\nAnswer: -7541345, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50700 and 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 4 + 22*b**3 - 34*b**3 + 34*b + 13*b**3 in the form h*b + o*b**3 + q*b**2 + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/168 and -65\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14500 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34698?\nAnswer: 2, 3, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 4*y + 4. Let n be m(-5). What is the common denominator of 5 and (n - (-15)\/18)*-101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-171)\/(-2))\/(51\/136). What is the highest common factor of c and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132672 less than 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1228331030, -1228331032, -1228331034, -1228331036, -1228331038, -1228331040?\nAnswer: -1228331042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/5, -4\/3, -1\/1108?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -143*s**2 + 2*s + 39.\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21410 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24041 (base 6) to base 10.\nAnswer: 3481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (65\/78)\/((-1)\/(-6)). Put 2, y, -2, -8 in descending order.\nAnswer: y, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/25649280 and -109\/106872.\nAnswer: 25649280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/12)*t*t)\/(t*t\/((t*t**(-5))\/t))*(t\/(t*(t\/t**2)\/t*t)*t*t)**35 assuming t is positive.\nAnswer: t**(1199\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 23 = -268. What are the prime factors of j?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315754339?\nAnswer: 5003, 63113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 47 = 141. Suppose -2*x = -5*u - k, u - 3*u = 6. Let a = 73 - x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111100110011111010101 - 10011001?\nAnswer: -11111100110100001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 160*q**2 - q - 57. Let s be n(-80). Solve s*v - 8 = 27*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140901.\nAnswer: 3, 67, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18934*n**3*x**3 + 54*n**3*x - 11271*n**3 + n**2 + 774 with respect to x.\nAnswer: 56802*n**3*x**2 + 54*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 76*m**2 - 72*m - 423. Let f be z(75). Is -2564\/13 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*p**3 + 479*p**3 + 476*p**3 + 474*p**3 + 487*p**3 - 2401*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 67\/(-3) - (-12)\/(-72)*-4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(95)*-1 - sqrt(95))\/(sqrt(25)\/sqrt(20)) + -3 + 1 + sqrt(931) + 2 + -3)**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15006886, -15006892, -15006898, -15006904, -15006910, -15006916?\n\"Answer: -6*c - 15006880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9131034 and 2490282.\nAnswer: 27393102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180305131?\nAnswer: 1493, 120767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -30. Put -4\/5, -2\/5, -5, l in ascending order.\nAnswer: -5, -4\/5, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6*b - 95 = 0. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 3*b**2 + 4*b - 3*b + 2*b. Suppose -l = -a, -4*l + 2 = -a - 10. Let r(z) = -z**2. Let p(g) = l*r(g) - q(g). What is s in p(s) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7 (base 15) to base 7.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 10*o + 5*z - 51, z = -3*o + 27. Put o, 4, -177 in decreasing order.\nAnswer: o, 4, -177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 at most as big as 2658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 26*q - 21. What is m(27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*l - 14, -2*l - 13 = -5*l + 2*b. What is the remainder when 9 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - -1022?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 104*z**2 - 370*z - 48712. Give k(-103).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76800, 153533, 230258, 306969, 383660, 460325, 536958?\n\"Answer: -o**3 + 2*o**2 + 76734*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085939 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3204 take away -6.4817599?\nAnswer: -3197.5182401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158574.\nAnswer: 2, 3, 13, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70645*p**3 + 135021*p**3 - 64378*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.05 (b) 1\/2 (c) 20 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 0.33. What is the second biggest value in 1, j, -2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 times 26472.7?\nAnswer: 1508943.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/11)*v)*v\/v**(-1\/12))**(-25) assuming v is positive.\nAnswer: v**(-2975\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1349 + -1923. Let a = c - -1012. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 340560.\nAnswer: 340560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - ((-6)\/(-3) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72304\/(-126728) + (-4)\/(-7). Let x be (124473\/1314)\/((-186)\/(-27)). Let o = b - x. Calculate the common denominator of 19\/3 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 16 = 4*o - 3*u, 0 = 3*o - u + 13. Let t be -919999 + o + 4 + -2. Round t to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11160 + 9649 + 8284 - 3 - 3 + 4 + (-4 - 2 + 5)*(1 + 2 - 1) + 7 - 3 - 2)*(-2*o + 2*o - o)*(4 - 2 + 0).\nAnswer: -13542*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 9*z - 14*z - 22*z**3.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 27*d + 79. What are the prime factors of q(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 - -1.5. Let r = -0.5 - d. What is the nearest to -2\/7 in -2\/9, r, -3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130200*h + 130252*h - 26 = 26 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -600\/11 - -2411\/44. What is the biggest value in -1, -2, t, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-81)\/(-6)))\/((-561)\/81 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v + 13. What are the prime factors of l(-5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -214740.\nAnswer: -42948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -289826, -289827, -289828?\n\"Answer: -n - 289825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 + 26*b + 14. Let o(f) = -4*f**2 - 23*f - 14. Let t(m) = -4*o(m) - 3*r(m). Give t(-11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) -3629 (c) 14 (d) 825\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 0, -x - 4*x = 4*n - 20480. Suppose 9*a - 2456 = x. Does 26 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1998)\/135)\/((10\/200)\/1*4)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 9. Let z be d(-5). Suppose -f + 5*x + 1 + z = 0, -5*f = -4*x - 64. Calculate the lowest common multiple of f and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((9 - 14) + 898\/(-3)). Suppose 1560 = 4*t + 3*a, 3*t - s - 270 = a. What are the prime factors of t?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66.2 * 166.161\nAnswer: -10999.8582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 14. Let a be f(11). Suppose x = a*x. Suppose x = -p + 2*p - 9. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 11:24 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiigig. Give prob of picking 2 i and 1 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1334782 or 1334783?\nAnswer: 1334782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 24.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 2 + 2 + (-3 + 5 + 0)*(-3*h**3 - 3*h**3 - 5*h**3).\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3995*t - 15745 = 1346*t + 149 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b + 93. Let a be x(-31). Suppose 5*q + a*q - 250 = 0. Calculate the remainder when 196 is divided by q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 546, 4392, 14834, 35172, 68706, 118736?\n\"Answer: 550*a**3 - 2*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = -3*h - 15, 0 = -4*h - z - 20. Suppose -t = -g - 3, -t - 4*g = -2*t + 3. Put t, -4, h in descending order.\nAnswer: t, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.3, 2\/9, -5, -47?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1336126 - 2.\nAnswer: -1336128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 7*w**6\/30 - 8*w**3\/3 - 7*w. Find the second derivative of r(c) wrt c.\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 760837, 1522177, 2283507, 3044821, 3806113, 4567377, 5328607?\nAnswer: 6089797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -4 + 4 + -1. Suppose -5*h = 5*c + 65, o = 3*h - h + 5*c + 23. Does 7 divide ((-1)\/(1\/h))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2334, 4733, 7180, 9675, 12218?\nAnswer: 14809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*c**3 + 70*c**3 - 28*c**3 - 1 - c - 20*c**3 - 3*c**4 + 4*c**4 + 60*c**2 to the form f*c**3 + n + k*c**4 + y*c**2 + r*c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/13, 10, 0.1, -1, -1\/37?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.8 less than -0.096843034356?\nAnswer: 50.703156965644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 12) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -12. Which is smaller: -11\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/11 - (-24)\/4224*196. Let y be (6\/40)\/(1\/(-4)). Sort y, 0.09, c, 5 in decreasing order.\nAnswer: 5, c, 0.09, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*q - 5*j, 4*q + 49*j = 47*j + 56. Solve -q*h - 9 = -2*l - 18*h, -2 = -2*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 60319196*v + 60319196*v.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-10 + 3)\/(-7) - (-141)\/3 and 216.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:28 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 5110288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11036156689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r - 43. Let f(q) = -q. Determine f(l(z)).\nAnswer: -8*z + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2476 and 4.\nAnswer: 2476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 3*n**4 + 4*n**4 - n**4 + 4*n**2 - 4*n**2 + (n**2 - 4*n**2 + n**2)*(-4*n**2 + 4*n**2 + 2*n**2) - 53*n**4 + 24*n**4 + 20*n**4.\nAnswer: -13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + g**2 - 2 + (g + 2*g - 5*g)*(-6 + 7*g - 11*g + 9*g).\nAnswer: -9*g**2 + 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20712 - 1669*w + 20712 + (0 + 0 + 2)*(1 - 1 + 2*w) - w - 2*w + 2*w as j*w + f and give j.\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((648\/420)\/(15\/(-35)))\/(4\/(-30)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3873768 and -7\/6.\nAnswer: 3873768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3476.34137 rounded to the nearest integer?\nAnswer: -3476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 2*d - 4. Let y(g) = -g**2 + 1. Let v(r) = r**3 - 7*r**2 + 12*r - 1. Suppose 10 = 5*u - 10. Let p be v(u). What is p*i(q) - 4*y(q)?\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5654*(212\/72 + 80\/(-180))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 1, -1, -3.\nAnswer: -48, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2358, -2355, -2352?\nAnswer: -2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 15 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 9:42 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4131.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 422781.818 rounded to the nearest 1000?\nAnswer: 423000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:12 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence had when three letters picked without replacement from {l: 1, o: 2, i: 1, a: 1, d: 1, h: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*r = 5, -v = -2*r - 8 - 0. Let a(i) = -i**3 + 125*i**2 - 1929*i + 324. Let l be a(107). Put l, v, -41 in decreasing order.\nAnswer: l, v, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 1582 + 1391 = 63*i, 4*y - 5*i - 11 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, s: 4}. Give prob of picking 1 s and 3 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**2. Let r(b) = 9*b**2 - 2*b - 742. Calculate r(m(c)).\nAnswer: 441*c**4 + 14*c**2 - 742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -904808 * -0.43\nAnswer: 389067.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*u + u. Let q be (4 + 4\/u)*5. Suppose 3*o - 48 = -4*r - o, 2*o = q. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897405000 rounded to the nearest one million?\nAnswer: 897000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18967712 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26009?\nAnswer: 31, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 416*k**2*l**2 - 3*k*l**2 + 2*k*l - 26*k + 867644*l**2 with respect to k.\nAnswer: 832*k*l**2 - 3*l**2 + 2*l - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggmgggegg. Give prob of sequence gemg.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -129973, -129949, -129927, -129907, -129889?\n\"Answer: -m**2 + 27*m - 129999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-7))\/((-36)\/56)*84870\/(-820).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -122787\/10 = -12280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mffmffffvfvmfmfmmfmf. Give prob of sequence fmvv.\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14092656 is divided by 3575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**2 + 58680606*z - 286951126710603 = 0.\nAnswer: 9780101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4755 - 52258\/11. Let b = 4551562 - 2416878686\/531. Let k = b - -10\/59. Calculate the common denominator of k and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75570*r + 74008*r - 149580*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = 3*g + 4*d, 0 = -g + 3*d - 4. Solve -3*k - g = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - -3. Suppose -3 = b - 16. Calculate the highest common divisor of a and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 20 = -3*b + 10, 4 = -2*c - 2*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, x: 12}. Give prob of picking 2 s and 2 x.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 765 + 159 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 4. Let k be o(-7). Factor -2*y**4 - 4*y**2 + y**5 + y**3 + y**4 - 2*y**k + 5*y**2.\nAnswer: y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1 - 40\/10. Sort -9, p, 3, -3 in descending order.\nAnswer: 3, -3, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -17. Suppose -3*b + 49 = i + 3*i, -g*i + 8 = -4*b. Solve 3*f - i = 5*x, 0 = -3*x - 2*f - 6 - 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Let i(t) = 26 - 15 + x - t. Determine i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 9. Let q be l(-7). Let m be 3 + 2 + 4\/(q\/12). Let z = 15 - m. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -82304883 + 7*l**2 + 82304883 - 20*l in the form p*l**2 + v + y*l and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2136 or 16964?\nAnswer: -2136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + -64. Suppose -3*o - 4*j = -a, -7 + 1 = 3*j. What is the lowest common multiple of 22 and o?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16*-1*0\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 3:38 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 - 51. Let z be 24\/w - 4\/(-5). List the prime factors of (-1)\/(-2) - (-55)\/z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72 in 4, 41, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133878749?\nAnswer: 8317, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 702?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqm when three letters picked without replacement from tjmtttfmtfmqftntmff.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8*k - 21 = 0. Let t be k\/7 + (0 - -2). Suppose o = 4*w - 869, w - t*o = -4*w + 1088. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from gxggxxxgggxgx.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from ccpcwccccpcccc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 460577.4 months?\nAnswer: 383.8145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 624 = t + 7. Suppose 4*p - t - 2287 = 0. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(48)\/(sqrt(8)*-3))\/sqrt(2))**2.\nAnswer: 8*sqrt(3)\/3 + 49\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1017 + -397. What is the greatest common divisor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 4\/5, 4\/3, -2 in ascending order.\nAnswer: -2, 1\/5, 4\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-149 - -219 - 56).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039028 rounded to 3 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 28.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. What is the units digit of (-2)\/(1 - s) + 81?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 16, 45, 106, 211, 372?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34\/19 + 1568\/855. Suppose -2*s = -0*s + 10. Let k = s + 4. Which is bigger: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*o - 60 = 0, -6*o + 12 = i - o. Suppose -f + 15*h - i*h = -10, -4*f + h = -73. Solve 2*g - 5*b - f = 0, 5*g + 2*b - 1 = 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 262, 5, 15, -38 in descending order.\nAnswer: 262, 15, 5, 3, 0, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = -7*c. Suppose 0 = c*w - 1 - 3. What is the smallest common multiple of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:00 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 20 - 26*x**2 in the form l*x**2 + v*x + w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(425) + 0))**2 - (sqrt(102)\/sqrt(6) + -3 + (sqrt(68) + -1 + sqrt(17) + sqrt(17) + sqrt(17))**2).\nAnswer: 6 + 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 2014 = -88*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -38.8. Let y = o + 6. Let v = 0.6 - 0.5. What is the smallest value in y, v, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 2*d**2 + 19*d + 5612. Let r be s(0). What is the greatest common divisor of r and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 z when four letters picked without replacement from {y: 5, f: 5, z: 4}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*s + 3*w, -286 + 34 = -60*s + 4*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*l + 19. Let g(w) = 10*w - 5. Let p(z) be the second derivative of 5*z**3\/6 - z**2 - 5*z + 8. Calculate l*p(i) + 2*g(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*n + 10*n - 34*n - 27*n - 23.\nAnswer: -14*n - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 1. Let l(s) = 4*s - 3. Let d(y) = 3*l(y) - 2*p(y). Let v(t) = -t + 1. Calculate -d(n) - 5*v(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153164\/34335 + -467\/105. Is 0 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1683 and 35\/486?\nAnswer: 90882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48863\/39 - -1253. Suppose 11 = 5*m + 6. Suppose -a = s + 5 - m, 3*s = a + 8. Is s less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05508 - -251.84492. Let n = r + -236. Let z = n + -15.89931. Round z to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 12*n + 9 = 0. Suppose -21282 = -3*q - g + 23000, n*q - 44281 = -2*g. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2883 - 2811. Let u be 2 + 2 + 2 + 2. What is the highest common factor of x and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1332429?\nAnswer: -5329716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -484*s + 508*s - 49920. Does 32 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -233331132?\nAnswer: -233331222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 29*h**3 - 11*h**2 - 11*h - 15. Let m be 4\/3*(-54)\/(-12). Let j(n) = -15*n**3 + 6*n**2 + 6*n + 8. What is m*c(w) + 11*j(w)?\nAnswer: 9*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -10*k + 2. What is the nearest to -0.1 in k, -3\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 - 2 = d, i - 4 = -2*d. What are the prime factors of (-251)\/(-3) - i\/(-6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14633\/18 + 812. Find the common denominator of w and 137\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**5\/5 - 5*l**3\/3 - 5. What is the third derivative of n(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.184 + -0.904. Let q = k + -4.28. Let j = 2.4 - 0.4. Which is the third smallest value? (a) -1\/3 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(704) - (-5 + -2*sqrt(704) + sqrt(704) + sqrt(704)))*-5 - -4*(1 + (2*sqrt(704) - sqrt(704))))*-2*-1)**2.\nAnswer: 1344*sqrt(11) + 4578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -170, -407, -614, -785, -914, -995, -1022?\n\"Answer: x**3 + 9*x**2 - 271*x + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159\/7, 1.451, 5 in decreasing order.\nAnswer: 159\/7, 5, 1.451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u - 9. Let i(x) = -x + 2. Let h(f) = -a(f) - 2*i(f). Let r(k) = 2*k - 1. Give 2*h(w) + 11*r(w).\nAnswer: 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -19*d**3 - 10*d**2 + 4821*d - 14354. Give o(3).\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 14*q**4\/3 - 1318*q**3\/9 + 488*q**2\/9 + 248*q\/9 = 0.\nAnswer: -2\/7, 0, 2\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t - 58. Let l be w(5). Let b(m) = -6*m**2 + 6*m**2 + m**2 + m**2 - 4*m**l. Let y(x) = -179*x. Calculate y(b(k)).\nAnswer: 358*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*x - 4*x = 5*l + 16, 0 = 53*l - 3*x + 200 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**3 - 4*s**2 + 6*s - 44. Let m(u) = -u**3 + u**2 - u. Let i(x) = -3*m(x) - t(x). Let c be i(0). Which is smaller: c or 45?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 11*v - 22. Let m be k(6). Solve -3*o + 12 = -3*i, 3*o - 4 = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**3 + 3*v + 3. Let z be b(-1). Suppose -5*y + 34 - 14 = 0. Put -4, -2, z, y in descending order.\nAnswer: y, -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 < -8143205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 2475368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.017 (b) 3 (c) -2 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(33) + sqrt(2673)) - sqrt(33))\/(sqrt(176)\/sqrt(4)))**2.\nAnswer: 4563\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**7\/490 - b**6\/70 - b**5\/28 - b**4\/28 + 3*b**2 + 11. Let r(c) be the second derivative of p(c). Find y such that r(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8435000 to the nearest one hundred thousand.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23717 - 23804. Sort -3, 1, t in decreasing order.\nAnswer: 1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*d - 908 - 4867. Suppose 84 - 239 = 5*g. Let l = d + g. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 0*u + 11*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.948 to one decimal place.\nAnswer: -29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32411149?\nAnswer: 37, 613, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = a + 4*a. Suppose 0 = -2*s + 10, -2*n = -4*s + 59 - a. Let x(l) = -2501*l - 12. Let f be x(n). Round f to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**4 - 6076*p**3 + 12179*p**2 + 139734*p - 364680 = 0.\nAnswer: -6078, -5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34416 + -34416. Solve 6*o - 416 + 458 = r for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/144)\/((-14)\/(-21)))\/(2\/(-288)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 23, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.82 and 6.\nAnswer: -82.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/57)*s*(s\/(s\/((s*(s*s**(-2\/31)\/s)\/s)\/s)))\/s*s*s)**50 assuming s is positive.\nAnswer: s**(79550\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 475819274.\nAnswer: -475819269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507059, 1014562, 1522065, 2029568, 2537071, 3044574?\nAnswer: 3552077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 - -20 - 9 - 3) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 938 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 46.4. Let j = -196\/5 + 194\/5. Do j and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3553.4022 + -3553. Round t to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/12 + o**3\/3 - 8*o. What is v(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 345 + -315. What is the highest common divisor of i and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 690*q**2 - 6135*q + 69. What is m(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(162) + -1 - sqrt(2)).\nAnswer: -2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*q**2*w**3 - 3*q**2*w + 21*q*w**6 - 2*w**3 + 4*w**2 - 5*w - 1 wrt w?\nAnswer: -1278*q**2 + 2520*q*w**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 3841?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1159)\/494 + (-4)\/26?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/825*25\/15. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 33, -64, -199, -372?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6741 is divided by 1680?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 8*i + 8*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 12. Let a = -3 - 5. Let f be 20\/a*8\/(-5). Suppose -f*j - 2*s + 34 = 0, 5*j + s + 2*s = 44. Calculate c(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3255367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6059, 6037, 6015, 5993, 5971, 5949?\nAnswer: 5927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.13*23.\nAnswer: -370.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 7. Let q(m) = -6*m - 48. Calculate -15*g(u) - 2*q(u).\nAnswer: -3*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/4728595 and 9\/58.\nAnswer: 9457190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m**5 - 144*m**4 - 240*m**3 + 270*m**2 + 255*m - 126 = 0. Calculate m.\nAnswer: -7, -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/21 + (-1 - -12 - (-12)\/(-735)*28)?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 4 - 2 + 2*c + c**2. Suppose 0 = -0*t + 4*t + 48. Let y = 7 + t. Calculate m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, -6*j - 330 = -4*j + 2*u. Let n be (-46252)\/j - 4\/30. Let c = -280 + n. What is the smallest value in -3, c, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 155067 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b37f (base 16) in base 5?\nAnswer: -244110223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from cgee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-1 - -11) + -2 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z = 6*z + 162016. Round z to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igb when three letters picked without replacement from ggngihgghbinnhbinhb?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119267233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-495))\/(3\/5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12746013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 127*g**2 - 65*g + 3. Determine p(63).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*t - 3 + 20, 27 = i - 5*t. Let p(d) = -1 + 5 - i*d**2 - 4. Let g(r) = r - 3. Let l(h) = 3*h - 8. Let o(m) = -8*g(m) + 3*l(m). Calculate p(o(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -419 + 859. What is the common denominator of (-1)\/3 - 118\/96 and z\/(-144) - -1*7?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 810, 1621, 2434, 3249, 4066, 4885, 5706?\nAnswer: 6529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1005169018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y = 77 - 193 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288130930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**3*b*b\/(b\/(b\/(b\/b**(5\/3)))))**(-3\/5) assuming b is positive.\nAnswer: b**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -211233 (base 5) in base 12?\nAnswer: -4110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, v: 5}. What is prob of picking 2 v and 2 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1133\/5 - 226. What is the third biggest value in -24, y, -0.1?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 63 - 15)*(-6*q**2 + 0*q**2 + q**2)*(-1 + 3 - 4)*(16 - 16 - 5*q**2).\nAnswer: -1150*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4549, -4551, -4555, -4561, -4569, -4579?\n\"Answer: -j**2 + j - 4549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:25 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 11*o - 12. Determine z(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-21))\/((-3048)\/(-2667))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c. Suppose c*v = 4*v + 16. Sort -5, 1, v.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -33.\nAnswer: 26\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let x be 4 + -1 - ((6 - -2) + 3). Let r be (105\/(-260))\/(-1) - (-2)\/x. What is the closest to 1\/3 in -1, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4 - 96*n**3 - 185*n**2 + 282*n = 0?\nAnswer: -94, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 132 = 3*g. Suppose -4*l = 7*y - 5*y - g, y = -4*l + 19. Solve 3*k - 2*p = 2*p - 3, -5*k - 16 = -y*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -39. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -0.03. Let l = -1 + g. Let w = -65044\/5 + 13008. What is the nearest to l in w, -5, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t - 56 + 56 to a*t + l and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(0 + 0 + 2*q) - 2*q + 0*q - q to the form z + w*q and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1429662130519 + -0.06.\nAnswer: -1429662130519.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 371291750 to the power of 1\/3, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 + -5 + 3 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**3 - g**2 - g + 2. Let k(w) = 19*w**3 - 3*w**2 - 22*w - 36. Let c(p) = k(p) - 6*x(p). Let c(a) = 0. What is a?\nAnswer: -4, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -28*f + 249. Let c(r) be the second derivative of -1\/18*r**4 - 5\/27*r**3 + 0 - 2\/9*r**2 + f*r. Factor c(l).\nAnswer: -2*(l + 1)*(3*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1715 + 1721 - 52*h**2 + 142*h**2 + 6*h. Let k be d(-2). Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37617245 is divided by 125.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, k: 2, e: 2, b: 7}. What is prob of sequence bh?\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 55 + -45 - (-1 - -58)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -4143*j**2\/2 - 3848*j + 3351. Differentiate f(z) wrt z.\nAnswer: -4143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85 + 1006*k**2 + 54*k**3 + 0*k**4 - 324*k - 67 - 931*k**2 + 174 + 3*k**4.\nAnswer: 3*(k - 1)**2*(k + 4)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-18) + (2 - 2). What is the third smallest value in 0.1, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8333.91599 to the nearest ten.\nAnswer: 8330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 2*n + 3. Let i = 11 + -11. Let m be j(i). Solve -m*v - 5*z - 19 = -v, -2*v - 13 = 3*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108239*g + 107836*g - 11284 = 0 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, 40, 24.\nAnswer: 1, 24, 25, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 20 + 1 = 0. Put -5, k, 4, 14 in increasing order.\nAnswer: -5, k, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838055600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/(-63) + (-95)\/(-117). Put 3\/5, i, -3, 0.4, -0.3 in descending order.\nAnswer: 3\/5, 0.4, i, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 0*t**2 + 1\/4*t**4 + t + 0*t**3 + 4. What is the derivative of l(d) wrt d?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/v**17)\/((v**(-5)\/v)\/v**(-4\/9)))**(-1\/5) assuming v is positive.\nAnswer: v**(31\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 2*y - 2, -l - 5*y - 32 = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 16*r**2 + 38*r - 34. Let g be t(18). What is the derivative of -32 - 7178*m - 87*m**g + 7178*m wrt m?\nAnswer: -174*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 102*i - 2. Let b(k) = -4*k**2 + 99*k + 2. Calculate -4*b(t) - 3*u(t).\nAnswer: 4*t**2 - 90*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 2. Calculate the greatest common divisor of r and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f - 46*f - 22 = 3*i, -40 = 5*i + 5*f. Let q be (7909\/462 + -17)*(-8)\/i. Let 0 - q*s**2 - 2\/21*s**3 + 2\/21*s + 2\/21*s**4 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -10.4. Let j = -0.4 - k. Let g = 2.5 - 0.5. What is the closest to 0 in -0.4, g, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = -9*g - 23*g. Is g at most -9\/532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (32 + -28 + -2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421 - 236. What is the remainder when d is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*j - 138*j + 4371 - 1197 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/564 and -103\/1692.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 664 and 83.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318 and 417057?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. Let o = -262\/105 - -14059\/105. Let j = o + -131. What is the third smallest value in j, l, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*i - 4*m + 42, 2*i + 4*m - 30 = 0. Suppose 0 = -4*b + 3*b - 14. Let q = b + i. What is the closest to -1 in q, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7245 - -43471\/6. Let v(u) be the second derivative of -a*u**3 + 0 - u**2 - 13*u. Determine v(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.0227 (c) 5 (d) -0.4 (e) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + p + 20. Let l be g(0). Suppose -2*a = 3*a - l, q - 2*a - 2 = 0. Suppose -2*m + 12 = -q. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 2*w + 2. Let x be o(-1). Suppose -5*c - x*d = -210, 4*c - c - 107 = -5*d. Let b = c - 15. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 140 = 53*v. Let d(o) be the first derivative of 5*o + 3. Let x(w) = w - 4. Calculate v*x(f) - 4*d(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 7*j - 3*j + (0 + 1 + 1)*(-23*j + 6*j - 3*j).\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -198\/239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1+684.4\nAnswer: 685.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = -12. Let d(i) = -i + 10. Let s be d(6). Let n be (-1)\/s - 1\/y. Sort 3, -5, n in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(11) - sqrt(11)) + 3 + sqrt(11)*4.\nAnswer: 5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/336 and -81\/1904?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooso when four letters picked without replacement from {f: 6, s: 3, o: 4}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 675.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778556 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 19*y - 10*y.\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 563 + -563. Factor 2\/11 - 2\/11*q**2 + l*q.\nAnswer: -2*(q - 1)*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 27*w + 27. Let y(o) = -o**2 - 13*o + 13. Let u(q) = 2*b(q) - 5*y(q). What are the prime factors of u(7)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-1\/10)\/(n*n*(n**1\/n)\/n*n*n)**(1\/15))\/(((n*(n**0\/n)\/n)\/n*n)**22\/(n\/(n**(1\/3)\/n)*n)**48) assuming n is positive.\nAnswer: n**(1497\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 9. Suppose 5*m = -5*i + 70, -t*i - m + 24 = -4*m. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - 11*x - 329. What is n(12)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.952 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2987.9 + -2988. Which is smaller: h or 3008?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2)*(2383*u - 524*u + 212*u) to q*u + l and give q.\nAnswer: 4142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93.6 - 94.1. What is the third biggest value in -0.1, 0.4, -8, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*w - 2*w**4 + 37*w - 2*w**2 + 46*w - 5*w**3 + 52*w to z*w**3 + q*w + c + d*w**4 + i*w**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 60 = -15*x. Let k be (-5)\/((-15)\/(-12)) + x. Solve 5*b + 1 = k*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 18657*i + 8 + 2764*i.\nAnswer: -15893*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 - -7 - 9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -2*m**7\/35 - 17*m**3\/6 - 26*m**2. Differentiate w(a) with respect to a.\nAnswer: -48*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/18 - (-798)\/(-378). Let b be -3 - 1\/(-2 - -3). Put 5, 3, b, p in increasing order.\nAnswer: b, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1110 + 2677. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-10))\/(1\/(-202)). Let c = -75 + h. What are the prime factors of 2\/(-10) + c\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-14))\/((-6)\/(-12)). Let x = 0.08 - 0.08. Let c = 0.5 + x. What is the nearest to 0.1 in q, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d**3*t + 102*d**3*v**2 + 32*d**2*t*v**2 + 3*d**2 - d*t*v - 2*t wrt d?\nAnswer: -96*t + 612*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + -1122920.057.\nAnswer: -1123013.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 15*f**2 - 169*f - 2522. What is y(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12690 - 8238. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-five quarters of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o - 4*o + o - 2*o - 2 in the form l + c*o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llb when three letters picked without replacement from bll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2*f + 1 - 1)*(22*f**2 + 13*f**2 - 10*f**2).\nAnswer: -50*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 20*q + 8. Let b = 28 + -18. Let m be v(b). What is the highest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1819352585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/31 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 44448 = -l. Suppose l = 6*c + 1056. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**3\/6 - 8*a + 7. Let p(k) = -2*k - 7. Let d(h) = -2*p(h) - 6*w(h). Give d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 17.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -32 (c) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24319146355 from 3.\nAnswer: -24319146352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/81)\/4)\/((-2)\/3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 32 - 28 + 2638*n**2 to the form l + m*n**2 + i*n and give m.\nAnswer: 2638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + sqrt(88)\/(sqrt(11)*-3)) + (sqrt(17) - sqrt(612)*-5)**2*4.\nAnswer: 3*sqrt(17)\/2 + 65348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -75 (b) 0.1 (c) 2\/15 (d) -2\/3 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3956970778 + 395684978601\/100. Let f = -120991 - g. Let h = 518 + -2063\/4. What is the common denominator of f and h?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104500054 - -156?\nAnswer: 104500243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**3 + 237*h**2 + 2328*h - 76908 = 0.\nAnswer: -58, -34, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*n - 2*j + 6*j, -4*j = -n + 9. Let z(u) = 21*u**2 - u**3 - 2*u + 4*u - 19 + 9*u**2. Let t be z(n). Round t to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t. Let g(z) be the third derivative of -11*z**4\/24 - 28*z**2. What is g(k(p))?\nAnswer: -66*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -600 - -357. Let d be (3\/8)\/((m\/18)\/9). Put -0.01, 3, d in ascending order.\nAnswer: d, -0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*x + 371*x = 4*a - 16, 0 = -5*a - 3*x + 23 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -2*r**3\/9 - 23*r**2\/3 - 1731. Suppose j(b) = 0. Calculate b.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59282 - 531884\/9. Let y = l + -184. Which is the biggest value? (a) 3 (b) y (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 + -6.76. Let i = t - -10. Let n = i + -3. Which is the closest to 0.1? (a) -0.2 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 - 38245*g**3 + 114765*g**2 - 114775*g + 38260 = 0.\nAnswer: -7652, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-24))**(5\/8)\/((y**(-1\/7)*y)\/y**(-1\/5)) assuming y is positive.\nAnswer: y**(4079\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*x**2 + 25*x**2 + 33*x**2 - 105*x**2 + 22*x**2 - 168*x in the form r*x + h + n*x**2 and give r.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 116 - 6\/3. Let n = b + -561\/5. Let s = 11 + -8. What is the second biggest value in n, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1102*m + 1. Let v(d) = -123397*d**2. Determine b(v(q)).\nAnswer: -135983494*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5. Let g = u + 2. Suppose -g*x + 4*x = 64. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3 + b**3 + b - 1 - 6*b**2 + 6*b. Suppose 17 + 1 = 3*g - s, 0 = -4*s - 12. What is the remainder when 11 is divided by r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(10\/(-6)) + -3. Suppose -a - 3 = -q*a. Which is greater: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4018?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 1*0\/2. Let v be (3\/(-18)*(-2)\/(-1))\/((-9)\/81). Let a be 6089991\/(-21) + h\/(-7)*v. Round a to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Let k(z) = 24*z - 26. Give -k(g) - 10*o(g).\nAnswer: -14*g + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 2 - (-8 + 2). Suppose -15 = -i - b*i. Suppose 0 = 3*w + i - 15. Solve -3*m - m = w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 - (1 + -4 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 7) in base 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110101 - 111100?\nAnswer: -1000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -60 (b) 2\/5 (c) -3 (d) 1105\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 15*r**2 - 66*r - 48.\nAnswer: 3*(r - 8)*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.09, -0.4, -35, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 - (2 + -3 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-2\/33)\/(k**(-1\/4)*k)**(-4\/19)*(k**(-2\/13)*k\/(k*k**0))\/((k*k\/(k**3*k))\/k**(4\/7)) assuming k is positive.\nAnswer: k**(143491\/57057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 v when four letters picked without replacement from vlvlvlvv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66818 is divided by 297.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, f: 4}. What is prob of picking 1 f and 2 p?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13118, 13202, 13338, 13526, 13766, 14058, 14402?\nAnswer: 14798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 340323?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*(-16)\/(-2). Let s(w) = 2 - 3*w + v*w + w**3 - 4*w**3. Is s(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4 + 1146*v**3 + 10180*v**2 + 15792*v = 0.\nAnswer: -564, -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -296.078 - -306. Let m = y - -0.078. Let o = -0.2 + 0.6. Which is the second biggest value? (a) m (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 203?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6695794760*n**2 - 60*n + 60*n - 6695794751*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 49) + (1 - 2) + (-46 - -36)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 + t**2 + t + 2. Suppose 0 = a - 0*a + 2. Let c be j(a). Let i be 3 + (0 - c) - 1. What is the greatest common factor of i and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5*b**5 + (-b**2 - 2*b**3 + b**2)*(b**2 + 2*b**2 - 5*b**2))*(2 - 1 - 7).\nAnswer: -54*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100111101 (base 2) in base 15?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 890.3 and 40644850581.\nAnswer: 40644851471.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 - 27033 - 3*u**3 + 27032 - 269*u**2 as n*u**3 + m*u**2 + d + g*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (136\/12)\/((-1)\/3). Let y = u - -39. Put y, -2, 3 in descending order.\nAnswer: y, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 2*i = 410, i + 1045 = 5*c. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.955 - 7.655. What is the nearest to 1 in -1\/2, p, -122, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -19225030?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and 70\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 192 - 32 = 0. Let w = 133 + q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 19*y + y**2 - 10*y**2 + 2*y**2 - 12. Let j(h) = 3*h**2 + 9*h - 4*h**2 - 6 - 2*h**2. Let t(v) = 5*j(v) - 2*o(v). What is t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 4*r**5\/5 - 14*r - 3. What is the first derivative of b(j) wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxqrrqqfgsssr. What is prob of sequence sqg?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102.071 + -0.071. Let z = u + -55. Let p = z + -46.99969. Round p to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - 5 - (-2564 - -2548)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -5) + (-44)\/(-4 - 0). Suppose -1744 = -n*a + 353. Does 60 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32411 + 87436 = 2201*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-26492950)\/(-6525) + (2 - ((-20)\/(-9) - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-15 - -1 - (3 - 6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4 + sqrt(7)*1)*5)**2.\nAnswer: 200*sqrt(7) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 54. Let w(s) = 6*s. Give w(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g**2 + 1. Let p(i) = -4 - 3*i**2 + 7*i + 3*i**2 - 3*i**3 - 6*i - 4*i**2. Suppose -4*u = -1 - 3. What is u*p(r) + 4*m(r)?\nAnswer: r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 16, 1, -30, -83, -164, -279, -434?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/((-12*(-14)\/(-3360))\/(95\/228))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*h**2 - 2 - 3*h**4 + h + 2*h**3 + 33*h**2 + 0*h**4 in the form m*h**3 + d*h + q*h**2 + u*h**4 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1880047 from -4486.5.\nAnswer: 1875560.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170 is divided by 301.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + b - 42 = 0, 4*h - 5*b + 3 + 18 = 0. Let r = 9 + h. Let x(s) = s**3 + s**2 - s + 21. Calculate the remainder when 62 is divided by x(r).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from {z: 1, c: 1, y: 1, u: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -4073*n**5\/20 - n**4\/4 - n**3\/6 + n**2\/2 - n. Let r be b(3). Round r to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 342*n**2 + 4*n - 10. Let f be z(7). Suppose d - f - 151224 = 0. What is d rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 6048?\nAnswer: 151200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7289338, -7289322, -7289302, -7289278, -7289250?\n\"Answer: 2*c**2 + 10*c - 7289350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/(-13) + (-19)\/(-1). Let f = 25 - v. Find the third derivative of -5*u**f + 0*u**2 + 2*u**3 - 3*u**2 + u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35348 (b) 4 (c) -2\/11 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*f + 3*i - 8, 0 = -i + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 3*f - 50 = -74, 5*x = 2*f - 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -609*u**2\/2 + 8*u - 3. Let s(t) = -19*t + 16. Let r be s(1). Is v(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:10 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25881 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - (47 + (-30 - 37) + 5 + 1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1144468, -1144508, -1144612, -1144810, -1145132, -1145608, -1146268?\n\"Answer: -5*i**3 - 2*i**2 + i - 1144462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5274 by 6.\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*c + 1180, -4*c + 1944 = -2*i + 750. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/638 and -7\/2088.\nAnswer: 22968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -1\/10, -3, 9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 7*q**2. Let f(x) = 5*x**3 - 8*x**2 + x. Let z(t) = -3*f(t) - 4*w(t). What is z(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751390423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -470 divided by 367\nAnswer: -470\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44.9 and 0.37?\nAnswer: 44.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 - c**4 + c**4 + (c**3 + 0*c**3 - 2*c**3)*(-4*c + 4*c - c) - 5*c**3 + 3247*c**4 + 5*c**3 - 3668*c**4 + 2*c**4 - 2*c**4 - 2*c**4.\nAnswer: -424*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, -0.5, 94?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*d - 13 = -0*d, -5*b = -3*d - 18. Let j(x) be the second derivative of 4*x + 1\/20*x**5 - 5\/2*x**2 - 1\/12*x**4 - 1\/6*x**b + 0. Give j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -17.92 (c) 1 (d) -28 (e) -0.06 (f) 3\/11 (g) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-9)*1\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33954 + 101861\/3. What is the closest to 2\/5 in 3, s, 1\/2, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 + 2*b**2 + 31*b - 80. Let n be c(5). Suppose -4*f + 806 = -2*j, j - 175 = 3*f - 778. Calculate the greatest common factor of f and n.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2 + 47*n - 52*n + 5*n**3 + 5 - 3*n**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13796, -27589, -41382, -55175?\n\"Answer: -13793*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -295 - 152. Let p = u + 442. Which is the closest to 6.7? (a) -1\/8 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-6) - (-686)\/147. Suppose -669 = -i*l + 3*p, 4*l - 888 = 4*p + p. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 5 + 39*v + 0)*(0*v**2 + 0*v**2 + 6*v**2 + (0*v - 3*v + 5*v)*(-3*v + 2*v + 0*v)) to b*v + a + m*v**2 + h*v**3 and give h.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2175 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 90 = 2*s, 0*y - 3*y + 2*s + 70 = 0. Solve 0 = -15*i + y - 80 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, -3, -122, -4, -2 in descending order.\nAnswer: 1, -2, -3, -4, -20, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 20. Does 25 divide w(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67838?\nAnswer: 2, 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**3 + 4*i**2 + 2*i + 4. Let u(f) = f**3 - 2 - 171*f - 3 + 4 - f**2 - 169*f + 339*f. Determine -4*u(m) - x(m).\nAnswer: -7*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/283905 and 77\/473175.\nAnswer: 1419525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -6429*f**2\/2 + 2823. Let z(c) = 2*c. What is z(r(i))?\nAnswer: -12858*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2006 - -2006.3. Which is the smallest value? (a) -3\/16 (b) k (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*l = 2*l - 1, 3*l - 3 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 855 and 489231.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454976910?\nAnswer: 2, 5, 4643, 31337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/9, 33\/5, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1518451 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(136) - sqrt(136))*-3 + sqrt(136))\/sqrt(8).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4 - 21111*u**3 + 111175533*u**2 + 2565551363*u + 14069347614 = 0.\nAnswer: -14, -9, 10567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5770*g. Let o(r) = -r**2. Determine w(o(f)).\nAnswer: -5770*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -3\/2, -0.2, -0.5, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1 - 4*f + 0*f - 7*f + 10*f. What is b(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 59*f - 421. Let v be k(-17). Solve -15 = 4*i - l, 0 = i - v*l + 2*l + 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - (-375 + 5 + 0 - -4) is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from kzksskkkckkscskzksks?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-14 + (-384)\/(-36))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**2. Let f(l) = l**2 + 1. Let g(p) = -10*p**2 - 9. Let a(w) = -18*f(w) - 2*g(w). Calculate h(a(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-19)\/(-38))\/((-2)\/(-236))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -10, -64\/3067, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*w. Suppose 4*b + w*b - 8 = 0. Suppose -b*o - 27 = -z, 0 = 3*z + z - o - 73. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438 - -440. Differentiate -2*v**3 + 38 - 550*v + 5*v**2 - z*v**2 + 550*v with respect to v.\nAnswer: -6*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 191411364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/23 (b) -586 (c) -3 (d) -6\/47 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o - 57. Let y be z(11). Let j be 3\/y*(-4 + (-201)\/(-3)). Suppose 533 = j*n - 8*n. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*x**2 + 48 + 24*x**2 - x**3 - 11*x**4 - 20*x**2 + 11*x**3 + 10*x**4 + 8*x.\nAnswer: -(x - 4)**2*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3.374215 - -0.5?\nAnswer: -2.874215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*i)*(i**4 - i**4 + i**4) - 10*i**3 + 330*i**5 - 164*i**5 - 164*i**5 + 14*i**2.\nAnswer: -4*i**5 - 10*i**3 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 427 (b) -0.1 (c) -1\/6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*l + 466*l - 36 = 233*l + 2*v, 0 = -4*l - 3*v + 51 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 192*g + 21076. What is s(-110)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 4 + 4)*(-o + 0*o + 2*o + 3 - o + 0*o + 0*o + 2*o + 2 - 2 + (-2*o + 6*o - 2*o)*(3 - 1 - 4)).\nAnswer: 4*o**4 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600157317 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*j + 65, 3*r = 2*r + 5*j + 36. Suppose -25616 - 37953 = -r*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1315.19317 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 164479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 4*n**2 + 0 + 0*n**4 + 0*n**3 + 1\/5*n**5 + 5*n. What is the first derivative of q(z) wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 8*y + 8. Calculate o(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70394 is divided by 68?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*u + 2 + 6, 2*g = -3*u + 7. What is the third derivative of -o**4 - 4*o**2 + o**4 + g*o**4 - 3*o**4 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 7*t - 6. Calculate u(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**11*i**47\/i*(i**(2\/143))**(4\/29) assuming i is positive.\nAnswer: i**(240534\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -26*p**3 + 11*p - 411. Let b(l) = 14*l**3 - 6*l + 205. Give -11*b(t) - 6*q(t).\nAnswer: 2*t**3 + 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96812 + -55344. Let a = r + -21003. Let q = -1665 + a. What is q rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/7))\/q**(-3\/7))**(-20\/3) assuming q is positive.\nAnswer: q**(-260\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3 + 9\/(-4) - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/116 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.27267 decades to years.\nAnswer: 562.7267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:53 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 12 (b) -2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 + 39*c**2 + 795*c - 17. What is q(32)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/135)\/(2\/(-3))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 485 (b) 1 (c) 0 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2. Let z(c) = -4. Let r(h) = -9*i(h) - 4*z(h). Let y(a) be the first derivative of -a**3\/3 - 11*a - 14. Determine -11*r(p) + 2*y(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u + 20. Let x be r(6). Let l = x - -40. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103850 is divided by 1818.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/952 + -283291\/25704. Let m = -34\/3 - j. What is the common denominator of -71\/33 and m?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (92\/88)\/(40\/(-12) + 3) and 8\/36 - 322\/(-144).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 - 1.39. Is j smaller than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 2. Calculate the smallest common multiple of 12 and g(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 != 479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/7, -0.4, -0.1354, -28 in decreasing order.\nAnswer: 1\/5, -0.1354, -2\/7, -0.4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*d**3 - 1\/2 - 3\/2*d - 3\/2*d**2.\nAnswer: -(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/25)*r**0*(r\/(r\/(r**3*r)))\/r**(-3\/7) assuming r is positive.\nAnswer: r**(761\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/67)*w)*w**(-1\/10)\/w)\/(w**(1\/12)*w**30) assuming w is positive.\nAnswer: w**(-125237\/4020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -288.012855.\nAnswer: -576.02571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2626 - -114. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376619123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/(k**(-5)\/k))**(-37)*(k**(1\/3)\/k**(-5))\/((k**2*k)\/(k**(2\/19)\/k*k)) assuming k is positive.\nAnswer: k**(-25169\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 8*i**5 + 3*i**5 + 3*i**5 - 4*i**5 - i**5 + (-1 + 1 + i)*(-2*i + 2*i - i**4) - 2*i**5 + i - i - 3*i**5 + 2*i**5 + 2*i**5.\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*b - 8*b - 11, r - 2*b = b - 2 + 13 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 25*t + 3. Let z be (-2)\/(((-1)\/2)\/1). Suppose z*l + 3*a = -79, -20 - 4 = l + 5*a. Is 45 a factor of j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*m + 89 + 91 = 15*p - 87*m - 80*m, -4*p + 3*m + 43 = 0 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 948 + -662. Let w = 288 - k. Solve 0 = 2*u - 0 - w for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 9*v**2 + 3*v - 17. Let h(d) = d**2 - d + 9. Let f be h(0). Let k be a(f). What is the common denominator of -69\/4 and 11 - k - 3\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/181486 and 23\/14.\nAnswer: 1270402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w - i - 0, 2*i = w. Let f be (-2 - (w + -3)) + 10. Calculate the highest common divisor of 90 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 5 = -6*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 16*m**2 - 12*m + 39. Let o be h(16). Let l = -1379\/9 - o. What is the third smallest value in -2, l, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25288725 a multiple of 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -54. Let f be (-14)\/r*(-81)\/(-2). What is the highest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -275897, -551607, -827131, -1102469?\n\"Answer: 93*c**2 - 275989*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1.7, 2\/7, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -u + 29 + 49, -4*q + 4*u - 84 = 0. Let i = q - -3. Let s = 24 - i. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 4202.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 102?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-10)\/(-4) - 2). Suppose -6*g + 169 = 7*g. Solve x + l*z = 1, -g = 4*z - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -13 - (-101 - -65 - -43)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) 5 (c) -1\/8 (d) -3121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose 0 = s*l - 2*l - 114. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2931 + -2888. Calculate the remainder when 329 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 + 1. Let d be 234\/224 - 4\/4. Let s = d - 3\/16. What is the second smallest value in y, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1251, -8, 2 in decreasing order.\nAnswer: 17, 2, -8, -1251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {j: 2, m: 2, x: 1, o: 2, l: 8, d: 4}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62070 = 39*p - 62382 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49449191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*h*v**5 - h*v**4 + 771*h*v - 59*h - 24*v**2 - 2*v wrt v.\nAnswer: 560*h*v**3 - 12*h*v**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3*41\/(2829\/46).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1)*(1988348*h - 1988348*h - 5247*h**2) as d*h + g + s*h**2 and give s.\nAnswer: 10494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(6\/(-15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 515 + -250. Let f = 5567\/21 - v. What is the nearest to f in 4, -0.04, 1, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 2*r + 1. Let v be l(1). Let p be (4\/(-8))\/(v\/(-162)). Calculate the remainder when 122 is divided by p - -1 - 45\/(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w = 10. Suppose -1 - 1 = w*i. Let f(q) = 5*q**2 - 2*q**2 + q**2. Let m(n) = -n**2. Give i*f(r) - 3*m(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25168179?\nAnswer: 3, 19, 441547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2210 at most as big as -2220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/24)\/((-6)\/(-20)). What is the highest common divisor of 90 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**8\/56 - 19*y**7\/42 - 67*y**4\/3 - y**2 - 406. What is the second derivative of r(p) wrt p?\nAnswer: -120*p**3 - 1140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from aqqv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, 1, -108, -126, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -0.28, -108, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 5*y - 4. Let o = -126 + 136. Suppose 3*t = y*t + o. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**18\/(h\/(h\/((h\/(h**34*h))\/h)*h*h*h)*h))\/(h\/(h*h**20))**0 assuming h is positive.\nAnswer: h**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356.6525nm to centimeters.\nAnswer: 0.00003566525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 13*p**3 + 45 - 24 - 27 in the form y*p + x*p**3 + c*p**2 + s and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 410 and 492?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 22. Let f be z(11). Let p(j) = -j**3 - j**2 - j + 712. What is the hundreds digit of p(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**6\/150 + y**5\/20 + y**4\/60 - y**3\/6 - 445*y. Factor z(v).\nAnswer: -v*(v - 5)*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1 + 4 = -5*g, -4*w = -4*g - 20. Let p = -392 + 304.5. Let u = p + 88. Sort u, g, -3\/2 in descending order.\nAnswer: u, -3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 983, 1960, 2935, 3908, 4879, 5848?\nAnswer: 6815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 3*w - w + w - 3*w - 2*w - w + 0 + 0 + (3 - 1 - 5)*(-3*w + 5*w + w) + 0*w + 0*w - 2*w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 47 = 2*q, 14 = 45*o - 49*o - 62 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/42 and 20\/16911?\nAnswer: 236754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26575 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3 - 6*x + 6*x + x - 3. Let s(f) = -4*f**3 - 2*f. Give 2*p(b) + s(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 u, and 1 b when three letters picked without replacement from xuxuubxuuuubuuuuu.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129469030?\nAnswer: 2, 5, 12946903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*k + 4*q, -1 = q - 0*q. Let n be 38\/k + (-9)\/21. Suppose -n*s + 15 = 5*z, -7 = -3*s - 5*z + 2. Solve -6*p + 3*p + 6 = 0, -4*h = -s*p + 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*t + 8 = 0, 0*t + 4*t + 8 = 2*k. Let l = k - 2. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5*s = -51 + 1, 3*s + 40 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 440 - -d1?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 552854*h + 3 + 0*h**3 + 552852*h + 10*h**3.\nAnswer: 10*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -4 - 3\/5*a**5 + 0*a + 0*a**2 + 0*a**4 - 11\/3*a**3. Find the third derivative of y(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-12))\/((-14)\/(-8)). Let r = -136962 + 136966. Put 0.1, -1\/4, r, u in descending order.\nAnswer: r, u, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 50\/(-20))\/(3 + -1). Let z = -24 + 27. Suppose z*t - 8 + 5 = 0. Which is bigger: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*v**2 + 2*v**2 - 7*v**2 + (3*v + 1 - 1)*(3 + 3 - 5)*(-3*v + 0*v + 2*v).\nAnswer: -47*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13153000 to the nearest integer?\nAnswer: 3627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201400260 is divided by 6655?\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from gdgdgdg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (3 - (-2 - 6)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64.6 + -30.4. Let h = -181 - s. Is h < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 4*x - 19, 0 = -2*o - 5*x - 22 + 21 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51113581 to the nearest integer?\nAnswer: 7149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*o - 1 + 3, 5*z + o - 12 = 0. Suppose 0 = 3*u + z*l - 12, -2*l - 4 = 2*u - 14. Solve -16 = u*j + 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38.33 and -2.\nAnswer: -40.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 = -2*w, -2*w - 3*w - 10 = 4*y. Suppose -9*s + 5 + 13 = y. Factor -5\/2*r + 7\/2*r**s - 1.\nAnswer: (r - 1)*(7*r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5 - 9*j**4 + 28*j**3 - 23173*j**2?\nAnswer: 120*j**2 - 216*j + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -29*l**3\/6 + l**2\/2 + 5456*l. Let h(r) = -86*r + 2. Calculate -4*h(w) + 11*o(w).\nAnswer: 25*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 4*z + 6, -382 = -y + 2*z. Suppose 33*s - y = 25*s. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.202 - 0.068. Let d = -1635.030038 - -1635.3. Let z = g + d. What is z rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 13.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 22 - 7 = -4*x, 12 = -3*x - g. Let z be 2 + -2 + (0 - x). Let f be (z - 1)*10\/4. Is 5 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 481160*k**2 - k.\nAnswer: 481160*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 180*w**2 - 31326*w + 442. What is f(174)?\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11.4. Let g be (-122)\/(-18) - (-64 - -8)\/(-8). What is the closest to 1 in u, -3, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:01 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6081870 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(2*sqrt(5)*5 + 3 + sqrt(45)) - ((sqrt(5) - sqrt(1280)) + -5 + -2*sqrt(5))).\nAnswer: 14 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (5 - 6 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.01 - -57.99. Let i = 53 - m. Which is the nearest to -2\/5? (a) i (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 + 552*b - 19044 = 0. Calculate b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.9689 and 330.3.\nAnswer: 343.2689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.061336\nAnswer: 0.061336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.94 - 282.06. Let f = -285 - a. Sort -0.3, 0.1, 0.37, f in increasing order.\nAnswer: -0.3, f, 0.1, 0.37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/8 (b) -6 (c) 3 (d) 3\/28 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1938.23.\nAnswer: 775.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5975538109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 0*u**3 - 6*u + 0*u**4 + 0*u**2 + 1\/55*u**5 - 1\/33*u**7 + 0 - 1\/33*u**6. Find y such that j(y) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**2 + 27*z - 9. What are the prime factors of t(-9)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6046864 or -6046856?\nAnswer: -6046856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(2\/4). Let f = 38038 - 38034. Put f, x, 2\/9 in descending order.\nAnswer: f, x, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyiyiddi. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1654294896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*k - 1. Let g(j) be the third derivative of -j**5\/60 + 2*j**2. Let h(r) = 3*r**2 - 5*r**2 + 2*r**2 + 5*r**2. Determine k*g(n) - h(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-129)\/344*(-1)\/(-3))\/((-4)\/48)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313438, 313418, 313362, 313252, 313070, 312798, 312418?\nAnswer: 311912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + 9*r**2 - 3*r + 2. Let q be i(-3). Suppose 2*u + 43110 = 7*u. Suppose 5*l = q*l - u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 4*f + 74 = 0, 0 = 2*m + 5*f + 27 - 67. Suppose -4*x + 24 = -x + 3*p, -2*x + 25 = 5*p. Solve -2*o = q + 3, m*o - o = -q - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/8 + 2479*h\/8 - 310 = 0. What is h?\nAnswer: -2480, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-9) + 46\/6. Suppose -4*c = -3*c - 3*g - 7, 0 = 3*c + 5*g + q. Let w = 17 - c. Calculate the greatest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 41*v**3 - 6*v + 2. Let c(l) = -84*l**3 + 11*l - 3. Determine -6*c(g) - 11*k(g).\nAnswer: 53*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-7)\/l)\/l*l)\/l)\/(l\/(l**(11\/6)*l)))\/(l**(8\/5)\/(l\/(l*l**1\/l))) assuming l is positive.\nAnswer: l**(-263\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1 - r - 4 + 1 - 1. Let c be ((-8)\/(-1))\/(2\/4). Suppose -4*l = -0 + c. Determine o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 121*m + 3*m**3 + 153*m + 2*m**3.\nAnswer: -m**3 + 274*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 738 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**5\/20 - h**4\/12 - h**3\/3 + h**2\/2 + 10*h. Let x be (2\/4)\/((-1)\/(-34)). Suppose x*n = 13*n + 8. Calculate z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*h - 3*h + 6*h - 32*h - 123*h.\nAnswer: -270*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {y: 1, a: 16, l: 3}.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108 (base 12) in base 16?\nAnswer: e18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*z - 27 = 0, -2*o - 5*z = -3*o - 29. Let t(j) = j**3 + 5*j**2 - 4. Let c be t(o). Is (c\/7)\/(8\/28) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -853*(-6)\/3150 - 2. Let a = 4\/75 - g. Put -5, a, -76 in descending order.\nAnswer: a, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g + 6*g - g**2. Let p(f) = 3 - f - 2*f - 2*f. Let x(h) = -6*h + 4. Let l(s) = -4*p(s) + 3*x(s). Give l(w(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2104, 4237, 6370, 8503, 10636, 12769?\nAnswer: 14902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16364 less than -377023.6?\nAnswer: -393387.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.826 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1189*j**2 - 145*j - 145. Let f(z) = 33*z**2 - 4*z - 4. Let o = -570 + 566. Let m(u) = o*r(u) + 145*f(u). Let k(b) = 3*b**2. Calculate m(k(w)).\nAnswer: 261*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14852\/(-15642) - (-16)\/18?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 384*l**5 - l**3 - 52*l**5 + l**4 - 3 + 26*l - 1710*l**2 - 28*l wrt l.\nAnswer: 19920*l**2 + 24*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**2 + 9. Let u(t) = t**2 - 2. Suppose 0*k - 15 = 2*k - 3*g, -43 = 5*k - 2*g. Determine k*u(w) - 2*n(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13197475?\nAnswer: 5, 31, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 10 + 12 + (-46 - -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 7*r - 5. Let w(h) = h**3 - 4*h**2 + 4*h - 1. Let t be w(4). Suppose 0 = -4*f - t - 9. Give s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Suppose 4*t - 129 = w - 6*w, 0 = -4*t + s*w + 84. Suppose 0 = 5*p + t - 1. Let c(l) = l**2 + 6*l + 3. What is c(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -258.\nAnswer: -257.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004535281 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 27616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2024*w - 746*w + 54954 for w.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2. Let s(f) = -12*f**2 - 11. Let i(l) = l**2 + 1. Suppose -u + 33 = -4*d - 53, 2*u = -4*d - 92. Let n(a) = d*i(a) - 2*s(a). Determine q(n(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**5\/10 + l**4\/8 + 744*l**2 - 1. Let p(n) = -3*n**2. Calculate p(f(o)).\nAnswer: -108*o**4 - 108*o**3 - 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + (-1407)\/27. Let z = d + 52. Is 1 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*p + 5*p + 4, 6 = -3*p. Suppose 2*m + o - 4*o - 28 = u, -5*m + 59 = -2*o. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*c - 75614 = 240*c + 4*d, -3*c = -4*d + 45362. What is c rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*m = m + 10, 0 = g + 4*m - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26400 - 33910 = -1502*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 1. Let x be o(-1). Let b be (x - (-3)\/1) + 5. Let s(h) = 31*h + 32*h - 62*h - 9. Determine s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 2*y**3 - 20*y - y**3 + 48*y to the form r*y**3 + c + u*y**2 + f*y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 12:58 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -348 + 343.48. What is l rounded to one dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 102 - 109 - 22*w**2 - 25*w + 22*w**2 as q*w**2 + y*w + h + o*w**3 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257149 is divided by 3065.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/2*(-478 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a - 30 = 0. Let x(r) be the first derivative of -r**2\/2 - 2*r - 3. What are the prime factors of x(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231352 and 2.\nAnswer: 231352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/21)\/((-80)\/144)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 142, 549, 1220, 2155, 3354, 4817, 6544?\n\"Answer: 132*c**2 + 11*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/(-245) - (-1762)\/(-7)) + -5. Let t = 266 + c. Solve 2*r - 5 = -t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-9626)\/1604 + 6). Suppose 0 = -4*y + 5*r + 329, -5*y - 4*r = -0*r - m. Are y and 80 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -532bae - -1?\nAnswer: -532bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 17730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 1 - (5744\/(-539) + 1416\/(-3894))\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) 1\/182 (c) 0.1 (d) 0.4 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -395 + 747. Suppose 551 = 4*f + 5*b - l, 0 = -5*f + 5*b + 1095. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2449\/36 or -67?\nAnswer: -2449\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 650 - -8c0?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 553?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47, -59, -51, -17, 49, 153, 301, 499?\n\"Answer: u**3 + 4*u**2 - 31*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36659.\nAnswer: 7, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - h = 4, -2*h - 5 = -d. Let z = d + -2. Let q(s) = s**2 + s + 1. Let o = 15 - 14. Let b(r) = r**3 - r**2 - r - 2. Give o*b(p) + z*q(p).\nAnswer: p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21800, -6, 27.\nAnswer: -21800, -6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**7\/2 + 89*z**3\/6 - 88*z + 70. Let a(n) be the first derivative of o(n). Find the second derivative of a(i) wrt i.\nAnswer: -420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-2*sqrt(192) - sqrt(192)) - sqrt(192)) + 1)**2.\nAnswer: -304*sqrt(3) + 69313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 133364, 133374, 133384, 133394, 133404?\n\"Answer: 10*j + 133354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9504 divided by 3\nAnswer: 3168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 i when three letters picked without replacement from {v: 1, c: 5, i: 4, x: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.13 (b) -0.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**5 + 3*c**3 + 55*c + 3. Let l(z) = -2*z**3 - 55*z - 2. Let i(x) = -2*a(x) - 3*l(x). Find the second derivative of i(d) wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392944 divided by -9584.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*q + 19 = 0, 5*q + 8 = 5*z - 42. Suppose 2 = 5*d + 11*n - z*n, d = -n. Let p be 16\/6 - (-4)\/(-6). Solve p*b = -d*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - -8. Let x be (-6)\/27 - z\/(-27). Suppose 5*t + 5*p - 10 = 0, -4*p = -0*t + x*t - 8. Solve 5*q + 27 = 2*f, t = -2*q - 3*q - 25 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 4*s + 49 - 48 in the form l + t*s and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6905*f + 3*k - 58 = -6901*f, -4*k = -3*f - 47 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -23*s**2 + 523*s - 1723. Let d be b(4). Let c = 3 + -5. Put c, 6, 5, d in descending order.\nAnswer: 6, 5, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*k + 5*m, 5*k + 4*m = 9*k - 72. Suppose -n + 32 = 3*n - 2*s, n - 7 = s. What is the least common multiple of n and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138 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: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Let y = -2 - -4. Let u = y + m. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*h + 915 - 257 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 0*k**2 - k**2 + k**2. Let d(l) be the third derivative of -1\/12*l**4 + 0*l + 0*l**3 - 8*l**2 + 0. Calculate s(d(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + 8*n)*(0*n - n - 2*n)*(2*n + 2*n - n) + (1 - 1 - n**2)*(-2*n - n + n).\nAnswer: -43*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 1 - 5*w**2 + 2 + 4*w**2 + 2*w = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215.976463 - 5014.5\nAnswer: -4798.523537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*m + 16, 3*m + 0*z = z - 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 115*f - 3409. Give h(58).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 66\/(-2040) - 75\/(-500). Which is the nearest to 0.2? (a) t (b) -1\/6 (c) -2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 - (-1 + 2 + -2) - -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*d = 11, -m - 3*d - 7 = -3*m. Let j be m\/(-2)*0 - -1. Let z(f) = 2*f - 3 + 3 + j. What is z(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3103.91 + -3104. Which is the second biggest value? (a) 5 (b) -5\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-16)\/2*-1 - -1336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 128 or 42?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 502483 and 667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*c + 76*c - 24769 - 61535 = 140*c for c.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1474, -3099, -4914, -6925, -9138, -11559?\nAnswer: -14194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1148 and 1558.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*a - 0. Let u = -21 + a. Let d be 3\/(-6)*1*u. Is 7 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 24*u**2 + 240 + 33*u**2 - 240. Let c(t) = -3*t**2. What is c(g(b))?\nAnswer: -9747*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4 + 2. Suppose 0 = 3*b - 12*b + 9. Let k(r) = 5*r + 3 + 4*r - b - 4*r**2 - 6*r. Let i(u) = 5*u**2 - 3*u - 3. Determine q*i(t) - 3*k(t).\nAnswer: 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 548350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 66 - 66. Let m(n) = -17*n. What is m(r(a))?\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*y + 4*y + 4, 0 = -3*d - 5*y - 5. Solve d = 4*o + 4*o + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*l + 19 = 2*f, 5*f - 28 = -2*l. Let u = -4 + f. Let c be 696\/44 + 18\/99. What is the highest common divisor of c and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436076 is divided by 728.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 20\/(-6))\/(3\/(-207)). Which is smaller: u or 24?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.1 (c) -1 (d) -5 (e) 9 (f) 12064\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265006204?\nAnswer: 2, 61, 1086091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -639452070 divided by 3?\nAnswer: -213150690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/40 and -209\/1680.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.1 + -16. Which is the nearest to 0.2? (a) 3\/7 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 21974*s + 18963573. Determine x(-863).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -15*w + 13. Let u(v) = 8*v - 7. Give 4*d(r) + 7*u(r).\nAnswer: -4*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2778 and 0.345.\nAnswer: -958.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 297?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t**2 + 19*t + 5. Let s(q) = -17*q**2 - 28*q - 7. Let k(h) = 5*s(h) + 7*y(h). Let p(w) = w**2 + w. Let o = -31 + 17. Calculate o*p(d) - 2*k(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997922967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12161304 divided by 7\nAnswer: -12161304\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22158 from 5.\nAnswer: 22163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22210333 (base 4) in base 6?\nAnswer: -532331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -342*r**2 - 604*r + 182. Determine p(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002697537 to seven decimal places.\nAnswer: 0.0002698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 2. Let q be l(2). Determine d so that d + 5*d**3 - q*d + d - 3*d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i - 35*i - 22*i - 9*i - 40*i.\nAnswer: -88*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*6*(-39)\/(6435\/10)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32*-994.\nAnswer: -31808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) + sqrt(1008) + -1)*2*-4*-1)**2 + 1)*-3 + 5.\nAnswer: -774334 + 9216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**2\/2 + 5*o - 24. Let q = 4 - 4. Determine h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-600)\/(-27) - (-4)\/(-18). Suppose -5*a - s = -7*a. Suppose 15 = a*v - 16*v. Which is smaller: v or 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7538591 - 0?\nAnswer: 7538591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*o + 40 = 2*o, -66 = -4*d - 3*o. Solve 0 = -0*z - 5*z - d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -163c + -1?\nAnswer: -163d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/15 - 73*v**4\/24 - 367*v**3\/3 - 11*v**2 - 5*v. Find the first derivative of b(a) wrt a.\nAnswer: -8*a - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, -1\/7, -2\/9, 5029?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*g - 3)*(4 - 19 - 18)*(4*g**2 + 9*g**2 - 14*g**2) as h*g + y + n*g**2 + r*g**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**2 + 3*c**3 - 10*c**3 + 7*c - 15*c**2 - 1. Let o(w) = 7*w**3 + 6*w**2 - 6*w + 1. Let z(r) = -7*o(r) - 6*u(r). What is z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.7 - 0.16.\nAnswer: -12.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 50, 0.04, 3, -0.1, -9\/5, 0.3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -575*x - 25290 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*w + 4*w + 14 = 0, 4*r + 4*w = -16. Let l = -64\/25 + 526\/225. Sort l, -0.14, 0.1, r in increasing order.\nAnswer: l, -0.14, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243356 (base 10) to base 9\nAnswer: 410735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 - -204. Let w = v + -46. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ycfycyyyyyyywcycy?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -5, -197, 6, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 770424089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/(y\/y**(-6))*y**(3\/8)\/(y*y*y*y*y**(-8)\/y*y))\/((y\/(y\/(y**(-8)*y)))\/y**(-1\/8)*(y\/(y*(y**1*y)\/y*y*y*y))\/(y\/(y**(2\/13)\/y))) assuming y is positive.\nAnswer: y**(733\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4189 + -4179. Solve -g = c - 10, 32*c - 3*g + x = 31*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -218 - -235. Let h(g) = -g + 62. Calculate the smallest common multiple of h(s) and 75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250936*y + 17*y**2 + 24*y**2 + 250936*y + 4*y**2.\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-6.68\nAnswer: -0.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(5) + -1)*-4 + -1)*-6)**2 + -1)*-2 + 2.\nAnswer: -6404 + 1728*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, 104, 285, 534, 845, 1212, 1629, 2090?\n\"Answer: -r**3 + 43*r**2 - 15*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 54*q**2 - 746*q + 27167. Calculate h(50).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + w + w. Let k(v) = -2*v**2 + 5*v - 5. Let i(d) = 2*d**2 - 6*d + 6. Let y(p) = -5*i(p) - 6*k(p). What is z(y(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 83.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -119\/20. What is the common denominator of d and 17\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from sffsflflflfllflllf?\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 115\/20 - (2 + 0). Suppose -3*g = -12*g + 27. Is g greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2163 = 5*p + 2145, 10*p - 46 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**2 - 13*f**2 - 8*f**2 - 4*f + 25*f - 12 + f**3. Let z be a(25). Is 3 a factor of (-32)\/z + (-1 - (-145)\/7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39807437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -110*q - 6038. What is the lowest common multiple of 456 and z(-58)?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5925 * 2\nAnswer: -11850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11233 + 63580 = 947*j for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13049848?\nAnswer: 2, 7, 467, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 + 0 = 0. Let y(a) = -14*a**2 + 2*a - b*a. Let i(z) be the first derivative of -z**3 + 5512. Calculate i(y(n)).\nAnswer: -588*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -438049*f**5 + 118*f**4*x**3 + 12*f**2*x**3 - 336357*f**2*x**2 wrt f.\nAnswer: -26282940*f**2 + 2832*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2162273 and -0.3?\nAnswer: 648681.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246483\/80 - 3081. Let q(v) be the second derivative of 4*v - 3\/8*v**3 - 3\/16*v**4 - 3\/8*v**2 - b*v**5 + 0. Suppose q(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11867 is divided by 112?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4\/5 - 34*i**3\/5 + 122*i**2\/5 + 234*i\/5 - 324\/5 = 0.\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -18. Let g be 114\/x + (3\/4)\/3. Let u(i) = -10*i**3 - 3*i**2 + 10*i - 7. Let v(r) = -3*r**3 - r**2 + 3*r - 2. Calculate g*v(b) + 4*u(b).\nAnswer: 2*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.015 - -23.015. Let r = x + -23.3. Which is the third smallest value? (a) -3 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 36 + 5 + 22*z.\nAnswer: 19*z - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) 120 (c) 5 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*x + 13750, 3*a - 6*x + 8*x = 10314. Suppose 1524 = 5*f - a. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13127 - 5056 = -11*q. Is 57 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -347523 * -0.22.\nAnswer: 76455.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Let p(a) be the first derivative of -3*a**2\/2 + a - 2. What is the remainder when p(-4) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 2:00 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.43 + 0.93. What is the nearest to -1 in f, 0.1, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 2, h: 1, q: 1, n: 4, z: 2}. What is prob of picking 2 g, 1 n, and 1 h?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -13287*f. Let k(v) = v. Calculate k(i(t)).\nAnswer: -13287*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217.5 - 218. Let u = -257 - -256.6. Which is the fourth biggest value? (a) u (b) k (c) -1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f + 5*f - 3*f**2)*(0 + 9 - 4) + (2*f - 6*f + f)*(-3*f - 2*f + 3*f) to the form w + o*f + m*f**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from itiit.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3426, -3649, -3878, -4113, -4354?\n\"Answer: -3*c**2 - 214*c - 3209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*253\/69*(-2)\/(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 10:58 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 124 = -5*h + 139, -2*k + 2*h = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1771 + -188?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x + 32. What is the remainder when x is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -20*m**2 - 2. Let k(n) = 72*n + 68*n + 66*n - 209*n. What is k(q(j))?\nAnswer: 120*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ccyccccccccy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/d)\/(d**(-11\/2)*d) assuming d is positive.\nAnswer: d**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -455, -889, -1497, -2279, -3235?\nAnswer: -4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 9*s**2 + 613*s + 8061. What is y(34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from pppppppplppllppppp.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) + (-126)\/(-10). Let n be -178 - -173 - (-66)\/4. Are n and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101001 - 12112?\nAnswer: 11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/41 or -3730\/1147?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 349, 306, 277, 274, 309?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*w - 18 = -40*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -160826 in ascending order.\nAnswer: -160826, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38042 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 10*w**2. Let q be s(-10). Suppose q = 4*g - 7*g + 4845. Let l = g - 29083\/18. Find the common denominator of l and -125\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l + 1. Let c(r) = -r**3 - 7*r**2 - 7*r - 7. Let f = 36 + -34. Suppose 0 = f*m + m - 42. Give m*a(s) + 2*c(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 22*b - 5. Let p be q(10). Suppose u + 4*f + 22 = p, 2*u - 4*f = 46. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**2 + 13*d + 5. Let b be f(-3). Suppose -1 - 8 = -3*m, -2*m - 6 = -4*k. Solve -b = -k*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11510847 - -8623931. Let w = -6965222 - g. What is w rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and -65475343642?\nAnswer: 65475343642.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. What is the third biggest value in -2\/3, y, 9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from {z: 1, b: 2, t: 3, o: 5, x: 1, f: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 15996558 + 15996558.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 7 - 3*d**2 + 19.\nAnswer: -3*d**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024829673 rounded to six decimal places?\nAnswer: 0.002483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.060004. Round g to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2870390?\nAnswer: 2, 5, 239, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b - 51 = 0. Let z(f) = 3*f**2 + f - 4. Let o be z(3). Let x = o - b. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*q + 14. Let c be 0 + 2 + -2 + 0. What is the remainder when q is divided by c\/7 - -1*3*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -53\/3. Which is the smallest value? (a) -3\/2 (b) w (c) -30\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(5\/(-2))*((-2472)\/(-128) + -19). Put 0, 2\/5, 0.5, 3\/13, h in increasing order.\nAnswer: h, 0, 3\/13, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 5dc0?\nAnswer: -5dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 295 = a - 288, 5*a = 5*p - 35 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(6\/13)*d))\/(d\/d**(-17\/4)*d)*(d\/(d\/d**(3\/8)))**(4\/23) assuming d is positive.\nAnswer: d**(-9145\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 - (-1)\/(-3). Suppose 3*c = -w*c - 5*b, c = 5*b + 20. Solve c*s + 28 = 3*y, -s - s = 2*y + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2386 and 222.\nAnswer: 264846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 16. Let u(m) = m + 4. Let l be u(y). Find the third derivative of -3*r**6 - 2*r**2 + 0*r**l - 2*r**6 + 5*r**2 wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -68911 and -68912 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 1\/2, -40?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 5, 696 in descending order.\nAnswer: 696, 36, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3350 = -7*n. Let h be (n\/(-2))\/(5\/(-2) + 2). Let b = 816 + h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 e when four letters picked without replacement from eeejdledddlee.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 2*x**3\/3 + 7*x**2\/2 - 10*x + 22. Let i(u) = -u**2 - 5*u + 7. What is 7*i(o) + 5*j(o)?\nAnswer: 3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1) + 23*10. Suppose v - m = -v. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/192157 and 2\/43747.\nAnswer: 86662807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12416230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -34. Suppose z*k - s = 117, -2*k - 5*s = -0*k - 75. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-200)\/(-6))\/(35\/15 - 1). Solve -4*r + 8 = -2*x + 38, -5*r - f = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**3 + 1\/1260*w**6 - w**2 + 0 + 0*w**4 - 1\/420*w**5 + 0*w. Let v(j) be the first derivative of a(j). Factor v(z).\nAnswer: 2*z*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -62, -131, -232, -371, -554, -787, -1076?\n\"Answer: -v**3 - 7*v**2 - 15*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30350+0.01\nAnswer: 30350.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/7, 0.006, 3772?\nAnswer: 3772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 38*z + 73. Sort -52, z, -2, 1, 4.\nAnswer: -52, -2, z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 + 0 = 0. Let v(o) = -2*o**2 + o - 3. Let f be (-1 + (-9)\/(-6))*6. Let q(k) = -4 - k**2 + 0*k + k - 2*k**2. Calculate b*v(a) + f*q(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.3. Suppose 9*s = 2*s + 35. Sort w, s, 3 in descending order.\nAnswer: s, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 divided by 40684?\nAnswer: 81\/5812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06464 - 0.56464. Which is the closest to 0? (a) -4 (b) 2\/27 (c) s (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -55, 2, 3 in decreasing order.\nAnswer: 8, 3, 2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2979581 litres?\nAnswer: 297.9581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*f = 0, -3*z = f + 5 - 15. Let k be (21\/15 - 1)*z. Put -5, 3, k in increasing order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8282 - -8317. Solve 32*i - d = 93 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30521*s + 2756*s + 21231*s + 1537*s.\nAnswer: 56045*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 10*r - 6. Give c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k - 58*k - 37*k - 77*k.\nAnswer: -207*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 15 = -4*u - 4*g, 2*g - 4 = 0. Suppose -r = -u*s + 214, r = -4*s + 2*r + 171. Calculate the remainder when s is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141.22 + -147.22. What is the third smallest value in -2\/3, -3, z, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001110 - -11010110110?\nAnswer: 111001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 678 and 39082632.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0 + (1 - 3 + 1)*(1 - 3 + 1) + 4 - 2 + 0)*(2*u**3 - 2*u**3 - 2*u**4) to the form r*u**4 + c*u + b + y*u**2 + n*u**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185 or 6080\/33?\nAnswer: 6080\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.79095l to millilitres.\nAnswer: 89790.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 3 - 18*p + 20*p)*(0*p + 3*p - p)*(2*p + 0*p - 6*p)*(114 - 76 - 65).\nAnswer: 432*p**3 - 10368*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 6*p + 11. Let y be t(7). Let a be 4\/10*20\/y - 0. Let -a + 4\/9*l**2 - 2\/9*l**3 + 2\/9*l = 0. Calculate l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -15 - (-10 - -7 - 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 11*y + 3. Let j be v(-11). Suppose -j*r = 2*r - 25. Suppose -3*n + 19 = -4*l, 2*l + r = n - 2. Sort 5, l, -5 in decreasing order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hnhnnhhh?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**5\/7 - 33*i**4\/7 + 18*i**3\/7 + 60*i**2 - 600*i\/7 = 0.\nAnswer: -10, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 27284.65.\nAnswer: -109138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -5. Let g = 9 - m. Suppose -5*z + 3*n - g*n + 52 = 0, -49 = -5*z + 2*n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1851\/17 - 109. Let i = 0.2 + 0.3. Let k = -17 + 17.1. Which is the nearest to k? (a) i (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1080890394 to the nearest integer?\nAnswer: 32877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 645 and 120.3.\nAnswer: 765.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(2\/9)*o*o**0\/o)\/(o\/o**(-2\/5)*o*o**(6\/7)))**(17\/2))**(6\/17) assuming o is positive.\nAnswer: o**(-466\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 211 in 1\/4, 0, -1\/2, 4.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.53627 to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*j = -0*x - 35, -1114*j + 1121*j = -4*x + 9*x - 59 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*u - 5*s = -368 - 59, 11*u + 21 - 9 = 12*u - 2*s - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114932654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*k = -8, -4*k + 5*k = 3*x - 2. Find s, given that 2*s**3 + 2 - 2 + 2*s**4 - 2*s**x - 2*s = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*o - 413*o - 94*o in the form h*o + c and give h.\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(((r\/r**(-1\/10))\/r)\/r)\/r)*r)**(-23))**(-37) assuming r is positive.\nAnswer: r**(24679\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - -3.01. Put 0, 0.3, j in decreasing order.\nAnswer: j, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 15) to base 7.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + -2. Let w = 8 + -4. Let d = -1.1 - -0.1. Which is the third smallest value? (a) k (b) w (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - 1.8. Sort -2, m, 0.01 in decreasing order.\nAnswer: 0.01, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12087 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 117*h**2 - 549*h - 276. What is r(112)?\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 170628*r + 2901832 = 0. What is r?\nAnswer: -17, 42674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.4621 nanometers in micrometers?\nAnswer: 0.1964621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let v = 3 - 1. Solve -4*r + 2*j - 3*j + v = 0, -y*j = -3*r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d, 5*h = -d - 1 + 25. Suppose 4*p - 74 = h*n, p + 5*n - 73 = -2*p. Suppose b - 4*b = -p. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 12 + -3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/4 + (141\/12 - 4). Suppose 0 = -3*a + k*a - 16. Solve 32 = -a*v + 4*l, -4*v - 2*l + 1 = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 3:23 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13972, 55877, 125726, 223519, 349256?\n\"Answer: 13972*y**2 - 11*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 17. Let z(f) = f + 9. Let d(o) = -4*s(o) - 7*z(o). Find the first derivative of d(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 42, 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186202826 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 4?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p**2 + 8*p + 8. Let v(w) = 3*w**2 - 3*w - 3. What is -3*d(y) - 8*v(y)?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(7))**2*-2.\nAnswer: -16 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r + 6 = 93*r - 2*v, 4*r - 27 = -5*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00085652 to 5 decimal places.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = -n - 3*n, v - 2 = -5*n. What are the prime factors of 18\/v - (-1 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41262*m - 1312400*m - 1 + 131558*m.\nAnswer: -1222104*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-3)\/(-6))*(-40 + (105 - 51))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - c + 3 + (c - c - c)*(-1 + 4 - 2) + 91*c - 428 + 428 + (0*c + 3*c - 2*c)*(-2 + 2 + 1).\nAnswer: 90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 74 = 5*w - 11, 59 = 2*w + 3*g. Let m be (-2)\/12*-4*3. Let s be m*1 - (w + -18). Put 6, 5, s in descending order.\nAnswer: 6, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892448673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1\/8 (c) 4 (d) 22.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6054 or 6052?\nAnswer: 6054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 3*p - 3. Let n(a) = a**2 - 2*a + 2. Let t(h) = 2*b(h) + 3*n(h). Let f(z) = 74*z - 10*z**2 + 0*z**2 - 74*z. Calculate t(f(c)).\nAnswer: 100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -7*y**5\/20 - y**2\/2 - y. Let r(q) be the first derivative of b(q). Let v(i) = -12150 + 12150 + i - 2*i. Determine v(r(s)).\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 138365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*u - 2*a - 2*a, u = -3*a + 11. What is the units digit of 92\/u + 3\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((75 - 75) + 16 + 1 + -107)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(2\/3)*h)\/h)\/h**9)\/((h\/(h*h\/(h**(1\/9)*h)))\/(h\/(h**(-3\/8)\/h))))\/(((((h\/h**2*h)\/h)\/h)\/h**(3\/2))\/(h**4\/h**4)) assuming h is positive.\nAnswer: h**(-185\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: 2\/8*(-360)\/9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - sqrt(343)*5)*5 - sqrt(343))**2 + sqrt(7) + -6*sqrt(28) + -2*sqrt(28) + sqrt(7).\nAnswer: -14*sqrt(7) + 151263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, i: 3}. Give prob of picking 1 x, 1 i, and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(c - 2 + 2)*(3*c**3 - 3*c**3 + 2*c**4).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 218954.4?\nAnswer: 218954.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 6*h - 29. Suppose -h = -3*t + 11. Solve t*q + 15 = y, -y - 2*q = 3*y + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + 144. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137\/5 + -27. Let p = 4 + 0. Which is the second smallest value? (a) 0.13 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360241472?\nAnswer: 2, 37, 149, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 788506*v**3 + v - 83981.\nAnswer: 4731036*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164906 or 2611?\nAnswer: 2611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 100\/25331?\nAnswer: 100\/25331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36657 or -36659?\nAnswer: -36657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23784562 + 23784562 + 3*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4967 divided by -21.\nAnswer: -4967\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 + h - 1. Suppose 0 = -4*g + 2*g + 2. List the prime factors of a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((3 - 11) + 6 - -10 - -14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = -1. Suppose -g - 1 + c = 0. Let w = 2 - 5. What is the nearest to g in 0, w, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 88*o**4 - 243*o**3 - 336*o**2 - 73*o - 142*o**4 - 71*o - 3*o**5 = 0.\nAnswer: -12, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42616 is divided by 13499.\nAnswer: 2119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*u - 13*u - u**3 + 6*u as o*u**3 + j*u**2 + i + c*u and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 139.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-39 + 73 + 1)*(-2 + 2 + 6*f).\nAnswer: -420*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11562765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8403, -16791, -25179?\nAnswer: -33567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -92, -456, -1236, -2570, -4596, -7452?\n\"Answer: -23*r**3 - r**2 + 78*r - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14439 is divided by 205?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l**2 + 0*l)*(2 + 0 - 4)*(l**2 - 3*l**2 - 2*l**2).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*z + 0)*(-4 + 2 + 0) + 4 + 3*z - 4.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -1607658879 and -5119.\nAnswer: -1607663998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -4, -71, 9.\nAnswer: -71, -4, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1829*u + 718*u + 633*u)*(2*u**3 + 3*u**3 - 2*u**3) - 3*u**4 + u**3 - u**3 to q*u + s*u**3 + m + y*u**4 + h*u**2 and give y.\nAnswer: 9537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -243505 (base 7) in base 6?\nAnswer: -542001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = j + 3*k, -2*j - j = -k - 4. Let s be (5\/(-10) - (-5)\/2) + j. Suppose -s*w - 34 - 6 = -g, -2*w = -6. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6929 - 4684. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**7\/140 - j**6\/72 + j**3\/2 - 2*j**2. Let k(l) be the first derivative of i(l). What is the third derivative of k(w) wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -3 + sqrt(119)\/(sqrt(35)\/sqrt(5)))**2 + -4.\nAnswer: -24*sqrt(17) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 5, -3, -4, -5 in increasing order.\nAnswer: -23, -5, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350179947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -18*a - 140. Let q = 43 + a. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/27687 and 76\/8223039.\nAnswer: 8223039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3493)\/(-49) + 6\/(-21)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 103 (b) -6\/23 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*3 - sqrt(1584)) + -5 + (sqrt(1584) + 2)**2*-6 - 3*1*(2*sqrt(1584))**2*3.\nAnswer: -66557 - 264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 12 - 44. Let y = r + -6. Suppose 4*n + 18 = y*s, -11 = -s - s - 3*n. What is the least common multiple of s and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 - 11*i)*(-3 + 1 + 3).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(125) + 0 + -3)**2 - (sqrt(320)*-2*-6 - (0 + sqrt(320) + -4)).\nAnswer: -118*sqrt(5) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053655 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s**2 - 1 - s**2 + 3. Let z(b) = 256*b**2 - 4*b. Let g(l) = 126*l**2 - 2*l. Let y(j) = 2*g(j) - z(j). Give y(w(t)).\nAnswer: -324*t**4 - 144*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 1148801656395?\nAnswer: 1148801656367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2 + sqrt(1088)*-1 + ((sqrt(2448)*-1 - sqrt(2448)) + -4 + sqrt(2448) - sqrt(2448)))**2.\nAnswer: 224*sqrt(17) + 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j - 36. Let z(a) = -a + 1. Let s(v) = -k(v) + 6*z(v). Let h be s(-18). Which is bigger: h or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -99480553, -99480552, -99480551, -99480550, -99480549?\n\"Answer: l - 99480554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1195171534 and 1306?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39290.4161 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -5, -4, 69, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/27 <= -86\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u - 7. Let j(k) be the second derivative of -2*k**3\/3 - 2*k**2 - 11*k. Determine 11*j(d) - 6*s(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1178477 or 0?\nAnswer: -6\/1178477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*l + 8*l**4 + 10 - 1 + 21*l wrt l?\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580389 is divided by 58010?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -219a (base 15) to base 3\nAnswer: -100202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -155 - 460. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:50 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -13375*n - 8676. Is f(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4405416723 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 724\/7 - 4841\/42. Find the common denominator of -4\/23 and y.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -28. Let h be x\/6 - (1 - -17). Let w be (-5 - -3) + h\/(-7). Do 0 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -69*j - 148. What is the tens digit of c(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 5*z**2 + 4*z - 3. Let c(l) = 2*l**3 - 41*l**2 + 26*l - 125. Let r be c(20). What is s(r)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1571.92*0.06\nAnswer: 94.3152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 29505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 457607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 29\/7, 30, 43.3, -29\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (4 + 1250\/(-105))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11714.828 rounded to the nearest 10?\nAnswer: 11710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1518, -6704, -15560, -28080, -44258, -64088?\nAnswer: -87564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 85 (b) 3\/2 (c) -1 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153) + sqrt(153) + 2)*-3*3*2*-1*-4.\nAnswer: -432*sqrt(17) - 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201 + 222. Let k = t - 21.00000592. What is k rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 23 = 5*j, 0 = -m + 1 + 2. Let p(y) = y**2 + y + 5. Let k be p(0). Let i(q) = -2*q - 2. Let g be i(-2). Sort k, g, j in descending order.\nAnswer: k, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22020 + 2949 = -280*r - 329*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44894.\nAnswer: 2, 22447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p**2 + 20*p + 9. Let j be w(-2). Solve -5*v - 6 = 3*x, j = -2*v - 4*x + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156260?\nAnswer: 2, 5, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:09 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 3. Let x be v(6). Calculate the lowest common multiple of 8 and 58\/6 + (-1)\/x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3541, -3518, -3449, -3310, -3077?\n\"Answer: 4*n**3 - n**2 - 2*n - 3542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 142*n = -275*n + 81606. Calculate the highest common divisor of 1022 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054359 take away 13061?\nAnswer: -13060.945641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -13. Suppose 3*i = -i - 4. Let u = i - -6. Solve -3*v + 3 = -3*t, -u*t - 4 = -d*v - 0*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2414*z**3 + 5*z**2 + 76*z - 81. What is m(1)?\nAnswer: 2414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48351 and 4047.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*c = c - 42878, 4*u + 5*c = 171512. Suppose 9*n - u = -13*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from paappppppaapbppb?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-4 + 2)) + (67 + -28 - 35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -43 (b) -0.03 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let p(i) = 27*i**2 + 9*i. Give -9*f(g) + p(g).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337 - 277. What is the second derivative of -8*l**2 - h*l + 186*l + l**3 + 78*l**2 wrt l?\nAnswer: 6*l + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24622.821 months in centuries?\nAnswer: 20.5190175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 77?\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.25 - 25.24169. Round i to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 61299 + 56367. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*c + 292 + 356 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251\/8 + -31. Let t = 0.2 - -2.8. Let q = -4\/35 - 6\/35. What is the third smallest value in t, u, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 233.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (24\/(-42))\/((-20)\/14)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/84 and -37\/112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*(-9)\/(45\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + 4. Let v(p) = 7*p**2 - 9. Suppose 4*d + 2*w + 22 = 0, 4*w + 2 = 2*w. Determine d*c(g) - 2*v(g).\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 + 6*z - 6. Calculate m(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 - 2*v**3 + 4*v**2)*(-2*v + 2*v - 2*v**2) + 2*v**5 + 32*v**4 + 20*v**3 - 32*v**4.\nAnswer: 6*v**5 + 20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:12 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-20))\/(305\/(-1464))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1346, -5443, -12326, -22037, -34618, -50111?\n\"Answer: -7*g**3 - 1351*g**2 + 5*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*a + 22*a - 31*a**2)*(-2 - 1 + 5 - 51 + 17 + 20 + (1 - 2 - 1)*(-1 + 2 - 3)).\nAnswer: 248*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5 + 6 - 7 + c. Let v be p(-2). Suppose 2*t + v = 6. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p. Let b be 4\/(-2) + 2 + p. Let r(x) = -x**2 + 2 - 8*x + b*x + 6*x. What is r(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -11 - 11. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10}. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00714 and 26.81.\nAnswer: 26.81714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224)\/sqrt(64)*-5)\/(1*sqrt(288)*4)*-3)**2 + -5)*2.\nAnswer: -4945\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -7. Suppose 244*c = 253*c + 3267. Calculate the remainder when 15\/q - c\/12 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257+-3701986031.29\nAnswer: -3701986288.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 0 (b) -0.4 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**2*m)*m)\/m**(-8))\/(m**(-3)\/(m\/m**(2\/9))))**(10\/11) assuming m is positive.\nAnswer: m**(970\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 5*w + 0*w)*(w**2 + 0*w + 0*w) + 0*w**2 - 3*w**2 - 2*w**3 + w**2 to the form c*w + d*w**3 + h + z*w**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**6\/32 + 11*c**5\/80 - 21*c**4\/32 - 27*c**3\/8 + 10*c**2 + 15. Solve l(h) = 0.\nAnswer: -3, -1, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 131. Let c = -70 - j. Solve -u - c = -2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Suppose -2*q = -5*q - 12. Let f(s) = -5*s + 4. Let o(g) = g - 1. Let y(d) = 3*d - 4. Let c be y(1). Let v(h) = c*f(h) + q*o(h). Determine b(v(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 12*i = -4*c + 10393, 5*c - 2*i = 12993. What are the prime factors of c?\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333 + -10?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 4*r**3 + 2*r**5 + (0 + 24 + 23)*(3*r**5 + 3*r**5 - 7*r**5) + 0*r**5 - 5*r**5 + 4*r**5.\nAnswer: -46*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:57 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213.99999215 + 214. What is d rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1206)\/(-140) + (-31302)\/(-470) + -75.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/9 - 7250*m**3\/9 + 1666654*m**2\/9 - 99061006*m\/9 = 0.\nAnswer: 0, 121, 3383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64.98 - 66.4115. Let d = c - 1.46816. Let j = d + 2.9. Round j to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(23\/276).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 686395783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*g**2 + 2*d**2*g*j**2 - d**2*j**3 + 545*d**2*j**2 - 5*d*j - 2*g**2*j**3 - 56*j**6 wrt j.\nAnswer: -6*d**2 - 12*g**2 - 6720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 4, 38, -4 in ascending order.\nAnswer: -59, -4, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtyy when four letters picked without replacement from {v: 2, t: 8, y: 4, g: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1266588 or -1266434?\nAnswer: -1266434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2, -10*k - 3*l = -9*k - 4. Solve 15 = -k*x + 43 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 + -122. Calculate the highest common divisor of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2969?\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/768816 and 139\/960.\nAnswer: 15376320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -113+55719418026.1\nAnswer: 55719417913.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)\/y*y)**(-1\/35))**(4\/15) assuming y is positive.\nAnswer: y**(16\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 1)*(-6*l**2 - 3*l**4 + 3*l**4 - l**4) to u*l + t*l**4 + y + x*l**3 + o*l**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5*q - 44 = 26, 16 = 10*o - 4*q + 7 + 59 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-10))\/((-6)\/(-90)). Suppose -b = b - f. Let l(m) = -164999*m - 6. Let o be l(b). What is o rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32729 - -32747. Let b(d) = 9*d - 149. Determine b(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*1 - sqrt(637))*-5 - -6*(sqrt(637) - (sqrt(637) - -2*sqrt(637))))**2.\nAnswer: 91728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w**3 + 5*w**2 + 7. Let a(o) = -3*o**3 + 5*o**2 + 8. Let t(k) = 2*a(k) - 3*u(k). Let y(l) = 6*l**3 - 4*l**2 - 4. Determine -4*t(h) + 5*y(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 + -97. Is (j + -6)\/1 - -3792 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in -0.4, -0.3, -0.8, -0.1, -1\/1017?\nAnswer: -1\/1017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33623298 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 904378920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471 divided by -482?\nAnswer: -1471\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*w - 8. Let i = -1 + w. What is the greatest common divisor of i and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 5*n - 85. Let r be (-25)\/(-3) + (-3 - 40\/(-15)). Calculate the remainder when 4\/14 - (-1018)\/14 is divided by j(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n + 0 + 2*n**2 + 5 + n - 6. Let m(k) = k**3 + 9*k**2 - k - 7. Let u be m(-9). Determine b(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 34. Let u = -2.1 - -2. What is the closest to n in -0.5, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -5, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 99761324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y + 5. Let c(i) = 2*i**2 - 3*i - 4. Let a be c(4). Suppose -d - 3*d - a = 0. List the prime factors of k(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65747 rounded to the nearest 100?\nAnswer: 65700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r + 17*r - 31*r. Let n(o) = 6*o. Give n(d(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 665 = -12*q - 0*q, 15*q + 2*o + 265 = 33*q - 23*q for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012110220 - -120120?\nAnswer: -2011220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*s + 6, -3*s = q + 28. Suppose -38 = -2*g - h + 49, h = 4*g - 159. Let f = g + q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9494 by 1.\nAnswer: 9494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*m - 227*m + 795*m - 261*m.\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 425 and 595?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282374 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -2.5. Let p = -10.5 + 10.01. Let m = -0.09 - p. Which is the smallest value? (a) v (b) m (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:05 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 + 19*v**4\/24 + 10*v**3\/3 + 3*v**2. Let b be p(20). Solve -3*k + b - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273999 - 548000 + 274001 - 57*f**3 + 56*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47331164 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (0 + -1 + -22). Let d = a + -37. Let s = -9 - d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-206)\/(-4635))\/((-34)\/120 + (-2)\/(-6))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(2))*-3.\nAnswer: -3*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149 * 0.2.\nAnswer: -29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + (sqrt(22)\/sqrt(2))**2 - (sqrt(44)*1)**2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y. Let b(k) = -4*k - 7*k**2 - 5*k**2 - 5*k**2 - 13*k + 18*k**2. Give o(b(p)).\nAnswer: 3*p**2 - 51*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/3 - s**3\/2 - 4*s**2. Does 5 divide q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 7.158?\nAnswer: 3.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -3\/391 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - m + 11 = 0, 13*i = 12*i - 3*m + 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-13\/3))**(36\/11)*l**13*l*l*l**(-17)*l*l assuming l is positive.\nAnswer: l**(192\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:11 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1154547?\nAnswer: 3, 61, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 - 54*a**2 + 175*a + 643. Let x(b) = -10*b**3 + 136*b**2 - 438*b - 1608. Let f(j) = 12*w(j) + 5*x(j). What is t in f(t) = 0?\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87875386*o**3*z + 35*o**2 - 463*o*z - 371*o wrt o.\nAnswer: -527252316*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.035 - 1.965. Suppose -2 = -2*z - 4. What is the closest to z in -0.5, 1, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/12*(-1)\/(-5). Let f be -1 + (-6)\/18*-6. Which is the second biggest value? (a) 3 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011201221200 (base 3) to base 9.\nAnswer: -4151850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011163 tonnes in milligrams?\nAnswer: 11163000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j**2 - 1073*j + 6754. Give q(6).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/2)\/(l**(-12)*l)*(l*l**(-2\/17)*l*l)\/(l*l**4) assuming l is positive.\nAnswer: l**(285\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -354*z + 284*z + 174720. What is the least common multiple of 1152 and z?\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5458674229 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 9*m - 3*m)*(12 + 1 - 52).\nAnswer: 273*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -388 * 390\nAnswer: -151320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 526703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45675)\/1218)\/(4\/8)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -2, 2.\nAnswer: -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 + 471*w + 382. Let y be f(95). Let l(q) = -3*q**3 - 5*q - 5. Suppose 2*u = 4*u - 10. Let h(x) = x**3 + 2*x + 2. Calculate u*h(c) + y*l(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22083864*v**5 - 15846381*v**2?\nAnswer: 1325031840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(-3\/5)\/m*m)))\/m*m**(-2\/9)*(m\/m**4)\/m**(2\/7) assuming m is positive.\nAnswer: m**(-1609\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1100 and 1097 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 8*i + 12. Let x be l(2). Find w such that w + 9\/4*w**5 + 37\/4*w**3 + x + 5*w**2 + 15\/2*w**4 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996085316 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: Suppose 2*r = -5*j - 20, -5*j - 8 = 12. Suppose s + 5*b - 51 = r, 0 = -3*s - 5*b - 54 + 257. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*s = 0. Suppose s = 4*h - 5*k, 2*k = 3*h - k. Solve 2*w = -5*d + 7, -2*w - d + h*d = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 4 = 4*q, 2*y - 5*q - 24 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1740 divide 36997620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 15 = 3*r, 5*h - 4*r + 62791 = 62809 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 63, -520, 1\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354396124.\nAnswer: 2, 29, 1171, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1221166, 2442126, 3663086, 4884046, 6105006?\nAnswer: 7325966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 26*n - 36*n - 51 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.1, -0.3, -1, 3\/128, 3 in descending order.\nAnswer: 3, 0.1, 3\/128, -0.3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 2*w - 6 - 5 - 8*w. Let d be q(-14). Solve -3*m + 2*b - d = 0, -6 = 4*m + 3*b - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7669.\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 + (-52)\/(-2). Let v(f) = 10*f + 150. Let r be v(-17). Let y = r + j. Which is the third biggest value? (a) y (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -139. Let f = d + -80. What is the highest common factor of 13 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4\/(g*g*g**(4\/5)*g)*(g**(3\/4))**(-4) assuming g is positive.\nAnswer: g**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.063 times -3.232\nAnswer: -0.203616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/58326989 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102.2 - -1.8. Let r = t - 105.4. Which is the nearest to -0.1? (a) r (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59927261.2 rounded to the nearest 10000?\nAnswer: 59930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3169*u = 3163*u + 30. Solve -u*m + 37 = 5*n - 8, -12 = 2*n - 4*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 55 - (-2 - -1 - 0). Let x = 307299 + -307201. Calculate the highest common factor of x and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12\/13))**(5\/2) assuming o is positive.\nAnswer: o**(-30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-1 - 2)) + -1 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -107 - 173. Let w be (o - 3)\/((-1)\/6). Suppose -2*i = i - w. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17927 is divided by 854.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 22*n + 24. Let i be l(21). Suppose g + c - 8 = 0, 0 = 8*g - 3*g - i*c. What is the lowest common multiple of 21 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293748 and 872098.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -707 - -679. Let d = 46 - 74. Is w > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2\/11, 172, 87, 2\/3.\nAnswer: -1\/5, -2\/11, 2\/3, 87, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k. Let j be 8\/4 - k\/1. Suppose 0 = -l - 4*p - 0*p - 5, 0 = 5*l - j*p - 85. Calculate the greatest common factor of 60 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263 - -300. Let k = z - 14. Is 1\/3 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 45*g**2 + 0*g + 0 + 0*g**4 - 1\/6*g**3 + 1\/20*g**5. Let r(p) = -p**2. Give w(r(a)).\nAnswer: 3*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15246 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5 - 5 - 3*a. Let c(o) = 179*o. Let p(y) = -2737*y. Let j(k) = -46*c(k) - 3*p(k). Determine x(j(g)).\nAnswer: 69*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awkwwyy. Give prob of sequence yww.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 790039891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 86*i + 7. Let q(n) = 179*n**2. What is u(q(f))?\nAnswer: 15394*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45562179779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1248 and 768?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -93*s**3 + 4*s**2 + 3*s - 6. Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10768 + 10787. What is the remainder when 198 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(-1 + 1 - d) - 2*d - 2*d + 3*d - 4 + 4 - 11*d + 1 - 3*d - 3*d + 5*d as m + b*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.223145 grams in milligrams?\nAnswer: 2223.145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 484 in 0.1, 0, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 630 and 24864.\nAnswer: 372960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose -26*f - 45 = -29*f. Suppose -21*b + f = -26*b. What is the second smallest value in p, -2\/5, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2 + 0.8. Let f = 1 - 0.5. What is the closest to 1\/5 in f, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w - 38. Let p be ((-3)\/(-2))\/((-3)\/(-12)). Let b be s(p). Suppose 0 = h - 4*h + 2*z + b, 0 = -5*h - 3*z + 42. Solve -4*x = h + 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 2, d: 2}. What is prob of sequence ppd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 1. Calculate the common denominator of 3*(i + 35\/(-16)) and -9\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddzd when four letters picked without replacement from ddddddzdddddzdddddd?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1556*l - 5814 = 1214*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwlwwlw. What is prob of picking 4 w?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n - 65. Let d = -29 - n. Let x be (8\/(-10))\/(d\/40). Solve x*k + 12 = 2*l, 5*l = -3*k + 2*k + 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g - 13. Let f(n) = -6*n + 12. Let u(d) = -6*f(d) - 5*k(d). Calculate the remainder when u(10) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -4225520487?\nAnswer: 4225520486.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + g = -1153, -4*g = 2*z - 410 - 768. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 less than or equal to 10328\/243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 28 + -2360 + 2339?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 7*j**3 - 3 + 11 wrt j.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 22399 = -81589. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 115*t - 1831. Calculate f(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocdcodcckocddoddck. What is prob of picking 2 o?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*t - 4*t = 2, -22 = -3*y - 4*t. Put y, -1\/4, -0.1, -0.5 in decreasing order.\nAnswer: y, -0.1, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 5, s: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180280433 is divided by 2219.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(17)*1*-5.\nAnswer: -5*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 + -4 - (-150 - -155))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1280, 2056, 2836, 3620, 4408, 5200, 5996?\nAnswer: 6796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.07897\nAnswer: 0.007897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1670, 3337, 5004?\nAnswer: 6671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10784 - -0.067.\nAnswer: -10783.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tztkzzzzzzztppk. What is prob of picking 1 k and 2 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.17. Let y = d + 0.05. Let w = 0.28 - y. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1\/248223, 3\/17, -0.1, -5 in descending order.\nAnswer: 7, 3\/17, 1\/248223, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802921.\nAnswer: 3, 11, 157, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -21*l**3 - 2*l**2 - 3*l + 1. Let a be y(-4). Suppose -3*v = -w - 984, 2*w + a = 4*v + 5*w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38541*x - 72 = -38535*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 230760*u**2 - 2307900*u + 5770000.\nAnswer: 4*(u - 5)**2*(u + 57700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose 4*v - 3*q = -p - 1, 5*q = -5*v + 25. What is the greatest common divisor of v and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16*r - 2 - 6 + 15 + 27*r. Let b(l) = 5*l + 4. Give -7*b(k) + 4*w(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -1 - ((-23 - -69 - 23) + -23)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-104)\/(-1 - (-1 - -1)). Let c(z) = -2*z. Let p be c(-6). Suppose -5*u - p = -77. Calculate the greatest common factor of k and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 6848.\nAnswer: 1\/6848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3250 by 130.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3 + 3*v**2 - 2 - 12 + 2*v in the form x*v**2 + y*v + r and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t**2 - 20*t**2 + 16*t**2 + (2*t + 3*t - 6*t)*(3*t - 5*t + 4*t))*(4172 - 4172 - 13*t).\nAnswer: -78*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -0.13 (c) 1912\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 280*b**3 - 531*b**2 - 7*b. Let t(s) = -187*s**3 + 353*s**2 + 5*s. Let g(q) = -5*m(q) - 7*t(q). Find the third derivative of g(u) wrt u.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380.3534 milliseconds in minutes?\nAnswer: 0.02300589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -17, -0.2, -0.1 in ascending order.\nAnswer: -17, -0.5, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*j - 629, 4*j - f = 2*f + 641. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 6*m - m**2 + (19*m + 15*m - 13*m)*(-10*m - 2*m + 4*m))*(-m - 4*m + 4*m).\nAnswer: 169*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. Which is the nearest to t? (a) -3 (b) -1\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35\/16 - 299\/16. What is the common denominator of 49\/22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**6\/135 - 4*h**5\/9 + 263*h**4\/54 - 224*h**3\/27 - 8173*h. Factor x(a).\nAnswer: 2*a*(a - 32)*(a - 7)*(a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3476, -3475, -3482, -3497?\nAnswer: -3520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 4*c**2 + 1. Let k(q) = q**3 + 2*q**2 + 5*q**2 - 2*q**2 - 23 + q + 24. Let o(z) = -3*k(z) + 4*l(z). Give o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 1, g: 2, j: 4}. Give prob of picking 2 g and 2 h.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 + 1 = 2*q, 5*q + 23 = 3*r. Let o(a) = a**2 + 5*a - 7. Let j be o(q). Let b = 1297 + -1295. Sort b, -6, j, 3 in increasing order.\nAnswer: -6, b, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 0 + 0*y**2 - 1\/42*y**7 - 1\/2*y**3 + 0*y**6 - 2*y + 0*y**4 + 0*y**5. Find the second derivative of v(k) wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 3. Suppose -10*y + 29 = -11. Let v be g(y). Suppose v - 15 = -2*h. Solve w - 20 = 5*r - w, -h = -4*r - 3*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 z when three letters picked without replacement from zzzzazzaffffaazz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3568 at most as big as 3567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -315.84 - -26\nAnswer: -289.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r. Let f(j) = 49*j**2. What is t(f(u))?\nAnswer: -98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20114 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -66, -2, -1\/7, -2\/37, 440?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62560343 is divided by 1779?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rurrulcrrrrrscurrr. Give prob of sequence rcu.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/1596*(312\/351)\/((-8)\/(-6))\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -11 - 7. Suppose d*v - 9 = -99. Let a be 16\/(-244)*v + -2. Is a not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4289 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = x - 60, 4*x = -f + 275. Is 70 not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 6\/13, -1 in ascending order.\nAnswer: -1, 6\/13, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 2*t - 2*t - 5 - 3*t. What is a(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3876271227 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-2) - 2\/(-4). Let u be (-12)\/n*3\/2. Calculate the remainder when 10 is divided by 2 - u - (-2 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + 156. Suppose -5*x - 2*n = -4*n - 207, -5*x + 3*n = -y. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccuauccmccamdcvuc. Give prob of picking 2 m.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/4 - 1579*x\/4 - 153825 = 0.\nAnswer: -879, -700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 17, 4, 52, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5704225 is divided by 103713.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:42 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d3 - -151?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*n = -4*r + 38, -3*r + 5*n = -92. Suppose r*m = 53*m - 3952. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7*o + 0 + 6)*(o - 3*o + 0*o)*(-3 + 3 + 3*o**2) to the form f*o**2 + w*o**4 + c*o**3 + b*o + h and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*r - 8 = 0, -2*r = 5*t - 0*r - 74. Let a(c) = -4*c + 21. What is the remainder when a(-8) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 326530*u + 63206535 = 0. Calculate u.\nAnswer: -193, 65499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180801248?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 38. Let x be b(12). Let v = x + -51. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187*2134.45\nAnswer: 399142.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 89*z - 11589. Determine k(72).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 839662, 839648, 839634, 839620, 839606, 839592?\nAnswer: 839578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57372 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 56 = 4*i. Suppose -39*h = -25*h + i. Let l(a) = -a**2 + a. Let r(c) = 8*c**2 - 6*c. Calculate h*r(m) - 6*l(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3502 is divided by 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 212903 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21092 take away -6599.63?\nAnswer: -14492.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -127. Find the second derivative of -46*a + 32*a**3 + c*a**3 - 16*a - 43*a wrt a.\nAnswer: 696*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 16*m - 100*m + 21*m. Let f(j) = 3*j**3 - 36*j**2 + 4*j - 4. Let o(s) = -4*s**3 + 36*s**2 - 5*s + 5. Give m*f(t) - 4*o(t).\nAnswer: t**3 + 36*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4677, 4734, 4841, 4992, 5181?\nAnswer: 5402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.47 less than 585032.5?\nAnswer: 585018.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 4*i = -24, 3*j - 2*i = 16. Is 32 + 2\/(j - 1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/3))\/h*h)**(2\/19)\/(h**1)**(-27) assuming h is positive.\nAnswer: h**(1547\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 17*u + 2. What is k(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 38. What is k(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + (-2*sqrt(7))**2 + (sqrt(112) + (sqrt(112) - (sqrt(112) + sqrt(112) + -1 + sqrt(112) - sqrt(112))) + -1)**2)*2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:47 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40025 - 21861 = 478*x for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 36*i**3 + 26*i**2 - 26*i**2.\nAnswer: -36*i**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*((-24)\/(-6))\/(-8) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233423269 is divided by 15182?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**2 - 487*z - 22. Let j be w(-45). Calculate the greatest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*l + 4556071*h**2 - 8*h*l + 378381*l wrt l.\nAnswer: -2*h**2 - 8*h + 378381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -2\/15*z**5 + 0*z - 3\/4*z**4 - 11\/18*z**3 + 2\/9*z**6 - 24 - 1\/6*z**2. Determine l, given that i(l) = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qss when three letters picked without replacement from qddspqpspqdqqdsqpq?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 + 2 + -2)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 1:44 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6240 and 1056?\nAnswer: 68640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:09 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 586 - 585.7. Let u(c) = -c + 3. Let v(f) = f - 3. Let k(x) = -3*u(x) - 4*v(x). Let h be k(2). Put h, z, -2 in decreasing order.\nAnswer: h, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -74?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a - 1. Let r(o) = 3*o**2 - 2*o**3 - 4*o - 4 - o**2 + 8*o**3. Let u(b) = 3*c(b) - r(b). What is the tens digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*((-3)\/141)\/1. Let q = 172963\/6649560 - -33\/5240. Let z = f + q. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:06 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*h + 4*h = 232, 5*z + 5*h - 290 = 0. Calculate the remainder when 186 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 + 18*o**2 - 13*o + 6. Let p(g) = -2*g**3 + 6*g**2 - 4*g + 2. What is 2*m(f) - 7*p(f)?\nAnswer: 2*f**3 - 6*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826 = 31*z - 2012 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 924139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*o = 83*o - 2*k - 34, -k = -5*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -25*o**4\/6 - 7*o - 8. Let j(f) = f**2. What is j(p(h))?\nAnswer: 2500*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27089?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6 and -89\/968862.\nAnswer: 968862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) -2 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzjzjz. What is prob of picking 4 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154 + -120 + (-1 - 13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 986 - 986 - 3*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 2:31 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2416761425+-0.108707\nAnswer: 2416761424.891293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(3*sqrt(405) - sqrt(405)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 0.49?\nAnswer: -0.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/550)\/((-126)\/77).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 14*v**2 - 19*v - 6. Let u be b(-13). Is 11 a factor of 1 + 102 + u\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*h**2 + 44*h**2 + 383*h**2)*(4*h**2 + 0*h**2 - 3*h**2) - 6 + 6 - 10*h**4.\nAnswer: 375*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.968 take away 17714.5?\nAnswer: -17738.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(425) + sqrt(425))*4)**2*5 + 6*(6*sqrt(833) + (sqrt(544)\/sqrt(2))**2).\nAnswer: 252*sqrt(17) + 137632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180993 to the power of 1\/2, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s + 2. Let m be x(0). Suppose -3*u + 2*d + 32 = 7*d, 43 = m*u - d. Suppose 34 = v - u. Round v to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 divided by 1?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2. Let h(l) be the first derivative of 0*l**2 - 7\/6*l**4 + 14*l - 45 + 0*l**3. Let d(c) be the first derivative of h(c). Calculate z(d(a)).\nAnswer: 392*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -639617\/14973 - -8\/2139. Let g = t - -42. Which is the closest to 0? (a) g (b) 3\/7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123\/1679 + -1\/73. Let k = -1.1 - -0.6. Let u = -0.2 - k. Which is the smallest value? (a) u (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 4:43 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6523 divided by -43505?\nAnswer: 593\/3955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/2)\/(3\/(-6)). Suppose 0 = v*b - 2*b - 15. Suppose -2*a + b*j + 23 = 0, 3*a = 4*a - 4*j - 16. Solve 2*p = -3*u - u - 2, 0 = a*p + 4*u + 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y + y + 1032. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from jtktttvtoktjuto.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 + 3*v**2 - 11*v**2)*(-2 + 1 - 1) - 361 - 103*v**2 + 361.\nAnswer: -97*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/88)\/((-2)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from {w: 4, e: 3, v: 1, b: 1, r: 6}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4846*q - 76 + 2431*q + 2440*q - q**2)*(-2*q - 3*q + 3*q) to i*q + o*q**2 + u + a*q**3 and give i.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.39 + 7.39. Put -2\/11, f, 0.26 in descending order.\nAnswer: f, 0.26, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1355 (base 6) to base 10\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 4, y: 2, s: 2, d: 4}. What is prob of sequence eby?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i**3)\/(i**(-2\/15)\/(i*i*(i\/(i*i**3*i*i))\/i*i*i))*(i\/((i*i\/(i*i**(-2)\/i*i))\/i))\/(i**(-2\/17)*i)*(i*i**(-1\/2)\/i)**(-2\/101) assuming i is positive.\nAnswer: i**(58229\/25755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-15)\/3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzgm when four letters picked without replacement from {z: 1, g: 6, m: 9, p: 1}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g. Suppose -3*j + 4 + 11 = g. Solve -j*z - 16 + 1 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3))**(-27)\/((t**7*t*t)\/t*t*t**5\/t) assuming t is positive.\nAnswer: t**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (29 - 9\/1) + -1*3 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.041, -86\/9, -0.311?\nAnswer: -86\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -211 + 211 - 35*d + (-3 + 1 + 3)*(1 - d - 1) - 2*d + 0*d + 4*d.\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3326\/9 - 370. Let j be -4 - (200\/(-288) - 2*2). Let m = k + j. Which is smaller: 1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5497 is divided by 1372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 578966769 a multiple of 716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-4 - 0) + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95.3 + 104. Let n = s - 9. Put -2\/3, -3\/2, n in decreasing order.\nAnswer: n, -2\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-5) - ((-264)\/8 + 42).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 3 (b) -1.11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/13 - 362*x**2\/13 + 19360*x\/13 - 323200\/13.\nAnswer: 2*(x - 101)*(x - 40)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x**2 - x**3 - x + 6 - 6*x**2 + 0*x**2. Let g be 18\/(-5)*130\/78. Determine a(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 540, 653, 874, 1239?\nAnswer: 1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - n**2 - n - 2. Let j be r(-2). Let o = 1 - j. Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-4)*l*l)*l\/l**(-6\/5))**(-6\/11)\/((l\/(l\/l**(3\/2))*l)\/(l*(l\/(l*l**(5\/2)))\/l*l*l)*(l\/((l*l**(-2\/7)*l)\/l))\/(l*l**(-4))) assuming l is positive.\nAnswer: l**(-3512\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11083 - 283 = 36*j. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3398*c**2. Let b(g) = 13*g**2. Determine m(b(h)).\nAnswer: 574262*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/7)\/1)\/(12888\/3222).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5238322 = -5*m, -11*m + 6*m - 5*v + 5238320 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7202264 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 1) + 3 + -6 + 12\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.206 + -0.106. Let f = -6 + g. Which is bigger: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468037 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c9be6e + 4?\nAnswer: c9be73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-14))\/(16\/56). Suppose -y*g - 3*g = -72. What is the derivative of -4 + 2 + g - 8*z**4 wrt z?\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3443\/5 + -688. Sort q, -3, -3\/5 in decreasing order.\nAnswer: q, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -a - 311, -359 + 58 = -3*t - a. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 7*r - 3*r)*(4*r + 3*r - r)*(-r**2 + 0 - 1 - r**2) to the form t*r + w*r**3 + c*r**4 + z + d*r**2 and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12308 - -12313. Sort o, -2, -4, -1\/2, -3 in descending order.\nAnswer: o, -1\/2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*x + 4 + 4 = 0, -3*w = -5*x + 26. Let b be ((-20)\/8 - w)*(3 + 1). Calculate the remainder when 32 is divided by b\/((-8)\/(-9))*(-16)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**6\/840 - 2*i**5\/15 - 1792*i**2. Suppose r(u) = 0. What is u?\nAnswer: -56, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/8)\/(q**(2\/65)\/q) assuming q is positive.\nAnswer: q**(309\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-47)\/94)\/(2\/(-60)). Suppose -24*i = -z*i - 81. Solve -4*u + 1 = i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5002, -4997, -4992?\n\"Answer: 5*p - 5007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0 + s + 0. Let p(m) = 8*m - 5. Let j(n) = 6*n + 4. Let t(b) = 6*b + 6. Let y(c) = 5*j(c) - 4*t(c). Let l(g) = -4*p(g) + 5*y(g). What is l(i(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4129*y - 2888*y - 2467*y - 652*y to the form l*y + i and give l.\nAnswer: -10136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7 + (-4)\/42*12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 5. Let n be h(3). Suppose -5*k - 45 = 5*y, -4*y - 2*k = y + 33. Let b = y + 10. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(16\/(-14)) + 1. Let r be ((-18)\/12)\/((-3)\/28). Let q be (-4)\/r - 48\/(-266). Sort q, h, -3\/5 in ascending order.\nAnswer: -3\/5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -486.893212602368 + -0.106785367632. Let a = -487 - h. Round a to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 463\/4. Put 0.2, q, -1\/2, -3 in increasing order.\nAnswer: -3, q, -1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/7 + 575924*m**3\/7 + 1727786*m**2\/7 + 1151860*m\/7 = 0.\nAnswer: -2, -1, 0, 287965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*p = -8, -4*z + 2*p - 2 = p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 16*v**2 - v + 20. Calculate d(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -c7 (base 15) to base 11\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93*g**4 + 9*g**3 - 46*g - 816827 wrt g?\nAnswer: -372*g**3 + 27*g**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1291? (a) -3 (b) 0.12 (c) -2\/5 (d) 0.4 (e) 16 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 21 = -9. Let z be (12\/u - 0) + 1. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8843.04085 to the nearest ten.\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -144090.32?\nAnswer: 144090.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1200 = 35*s - 39*s. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - 3. Let l be 1\/(-3) - 12\/y. Is 2*l\/(-2)*-38 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*u = 41, 0 = 3*u + 335572 - 335563 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*a + 2*a**2 - 3*a**2 + 2*a**2 + 131*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 786 and 786 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 v when three letters picked without replacement from {u: 1, v: 2, e: 4, h: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/(-14))\/((-16)\/(-112)). Suppose 6*b = h*b - 120. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110130 + 423022?\nAnswer: 312342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 9. Let n be 24300009\/3 - (g - -4). What is n rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 563*d + 21. Calculate j(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-67 - -25 - -70) + -18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649768 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 63 + 60 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 3*r. Is 31\/r + 2\/8 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = -3*k - 6, 5*p + 19 = -4*k. Let m be k\/(-5) + (-64)\/(-5). Suppose -5*r - m + 3 = 0. Let n(x) = -4*x. Give n(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2450 and 934406725?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10101?\nAnswer: -10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + i + 68, 5*m + 3*i - 53 = 51. Suppose 18 - m = -4*s. Solve -3*x = -s + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, -4, -16, -8\/3 in ascending order.\nAnswer: -16, -4, -8\/3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 257964732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {k: 1, l: 1, m: 9, q: 1, u: 2, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502358138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 + 4)*(-8)\/6. Suppose -5*j = 2 - b. Solve -f - 3*u = -u + 9, -j*f + u + 2 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-7))\/(((-1170)\/(-2275))\/9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 - 164*k**4\/7 + 606*k**3\/7 + 1088*k**2 - 6496*k + 65280\/7 = 0.\nAnswer: -85, -8, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-900)\/(-24))\/(-5))\/(6*7\/84).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*s**2*x**3 - 23*c**2*s**2*x + c**2*s - 21*c**2*x + 4*x**3 wrt s?\nAnswer: -2*c**2*x**3 - 46*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587548, -2350256, -5288110, -9401116, -14689280, -21152608?\nAnswer: -28791106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*s + 3*d, -4*s - 6*d - 4 = -4*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68196341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1020211120002?\nAnswer: 1020211112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}