diff --git "a/data/dm_maths/full_data_1/10199_11255.jsonl" "b/data/dm_maths/full_data_1/10199_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10199_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i(o) = 54*o**3 - 5*o**2 - 6*o + 2. Let u(t) = -217*t**3 + 20*t**2 + 24*t - 9. Let g(k) = -9*i(k) - 2*u(k). List the prime factors of g(-2).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860\/3*z + 2\/3*z**2 + 92450\/3 = 0. What is z?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2375 divided by -21273\nAnswer: 2375\/21273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6589105 is divided by 2772?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 + 12\/(-2) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 - 76*l**4 + 1488*l**3 - 5072*l**2 + 4784*l.\nAnswer: l*(l - 46)*(l - 26)*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpjpijppjjj. Give prob of picking 2 j, 1 i, and 1 p.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7191544798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25\/(-2)*(-4)\/5 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3168775*c*j**2 - 6*c*j + 139101363*c wrt j?\nAnswer: -6337550*c*j - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1457*z - 2045*z = 19404 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*s - 480*s = -153 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*o**5 - 1 + (-3*o - 4*o + 3*o)*(o**4 + 2*o**4 - 6*o**4).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 10) to base 13\nAnswer: -5c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52911475, 52911482, 52911501, 52911538, 52911599?\nAnswer: 52911690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -50.154.\nAnswer: -34.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 11 + -4 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2 - 44*w - 31. Let j be a(7). Solve -2*b + 6 = -j*n, 5*n - 6 = -2*b - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*q - 0 - 167, 237 = 5*q - 2*n. What is the lowest common multiple of q and 42?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -106, -162, -218, -274?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, m: 2, j: 3, p: 1, k: 6}. What is prob of sequence fkj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)\/sqrt(8))\/sqrt(2))**2 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 7:43 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -43*w**4 - 3*w**3 + 3*w**2 - 41. Let c(z) = 44*z**4 + 4*z**3 - 4*z**2 + 41. Let l(u) = -3*c(u) - 4*d(u). Differentiate l(f) with respect to f.\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/(-30))\/((15876\/245)\/81).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 11*v - 11*v. Let l(r) = r**2 + r + 2*r - 3*r. Determine t(l(m)).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8))**(-6) assuming c is positive.\nAnswer: c**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57338*h**2 - 114470*h**2 + 57141*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183766 is divided by 326.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/453 - -9976\/2265. Which is bigger: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.028 or 4427247?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 9*p - 12. Let j be v(8). Let o = 2 + 2. Let f be 69\/21 - o\/14. What is the second biggest value in f, -0.6, j?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7140, 28797, 64892, 115425, 180396, 259805, 353652?\nAnswer: 461937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v - 13. Let x(s) = -2*s + 3. Let a(t) = -6*n(t) - 26*x(t). Let z = 5 + -3. Let g(h) = z*h**2 + h - h. Calculate g(a(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**2 + 2732*i - 910.\nAnswer: -2*(i - 455)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, t: 2, b: 1, o: 3, e: 2, y: 2}. What is prob of sequence oyoy?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = g - 4. Let v(z) = z**3 + 6*z**2 + 5*z + 4. What is the tens digit of v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**4 - 2*y**4 - 2*y**4 + (5*y**2 + 12*y - 12*y)*(y**2 - 5*y**2 + 2*y**2) to a*y**4 + m*y + j*y**3 + v*y**2 + g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11713 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4880*v - 120*v - 4848*v + 390*v in the form n + s*v and give s.\nAnswer: -9458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + (0 - 17) - (148 + -154)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 5*y**2 - 3*y - 22. What is the tens digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -23*j**5\/4 - j**4\/2 - j**2 - 158*j. Find the third derivative of w(m) wrt m.\nAnswer: -690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6112554, 3, -4 in descending order.\nAnswer: 6112554, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.39 - 7.69. Which is the second smallest value? (a) -2 (b) f (c) -2\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4041337 and 3140.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166074449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5) - 287\/595.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 2386853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -i + 36, -m - 3*m = 16. Suppose -i = -14*n + 22*n. Let u be (-97)\/n + (-3)\/18. Calculate the greatest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-324)\/(-10))\/(9\/(-1500)). Round y to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 95*r - 105*r. Calculate the remainder when 15 is divided by 7 + 0 + r - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, u: 1, s: 6, r: 3}. What is prob of picking 3 s and 1 u?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27885286 + 27885289.10000024. Let d = r + -3.1. What is d rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6473?\nAnswer: 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31443.970106 - -31444. Round c to 4 decimal places.\nAnswer: 0.0299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/3 - 181589713*g**2\/3 + 8243705876060735*g\/3 + 8243706057650449\/3 = 0.\nAnswer: -1, 90794857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 - -4.9. Put 2, 0.3, i, -2\/21 in increasing order.\nAnswer: -2\/21, 0.3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18\/6739 - -200111\/1752140. Calculate the common denominator of j and 58\/45.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -5 + sqrt(128) + (sqrt(128) - -2*sqrt(128))**2 + -2 + 4)*-6.\nAnswer: -6900 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 4740362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*d - 45 = -16, 2*d = y - 1. What is the remainder when 19 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 688, 1370, 2050, 2728?\n\"Answer: -x**2 + 685*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 - 101 = -y. Let k = y + 194. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 23, -6 in ascending order.\nAnswer: -6, -5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (555\/((-9)\/(-3)))\/(-1). Let q = -533 - k. Let w = -194 - q. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 551880 divided by -183960\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56 - 96*i**4 + 19 - 5 wrt i?\nAnswer: -384*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 11*d - 50*d)*(-15*d**2 - 21*d**2 + 7*d**2 + 2*d**2 - 2*d**2 + 2*d**2 + (2*d + 1 - 1)*(1 - 1 + d)).\nAnswer: 1050*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -96)\/(-3*8\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20135563, -40271132, -60406701, -80542270, -100677839?\nAnswer: -120813408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -181 + 181. Let o be (42\/(-35))\/((-66)\/20). Suppose g + 2\/11*r**2 - o*r = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -76, -112, -148?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**7\/2520 + b**6\/80 - b**5\/60 - 15*b**4\/8 + 9*b**2 + 1. Let r(q) be the second derivative of g(q). Give r(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-43\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 137*r**4\/4 - 18*r**3 + 1308*r**2. Find the first derivative of i(t) wrt t.\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36838296 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3271403694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 91*b - 1440.\nAnswer: (b - 15)*(b + 288)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*7795.\nAnswer: 467.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -71*z**4\/24 - 61*z**3\/6 - 4641*z**2. Calculate j(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 9*f**2 - 22*f**2 - 9*f**2 + 0.\nAnswer: -40*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 568032380 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40448 (base 9) in base 10?\nAnswer: 26612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/6*168\/84?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12045 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6939097, 6939111, 6939125, 6939139, 6939153, 6939167?\n\"Answer: 14*a + 6939083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-4)*(-3)\/(-12)*-2. Does 14 divide q + 1 + -3 + 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154019128199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.082 - -37.418. Let k = -19.7 - 18.3. Let d = n + k. Which is the nearest to 1\/4? (a) 11 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -43*z**5\/20 + 4*z**3\/3 + z**2\/2 + 36*z - 1. Find the second derivative of q(f) wrt f.\nAnswer: -258*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 7 + 22. Let m = 31 - q. Let j be 26\/(3 - m\/2). Solve 5*w = -15, -2*z - 38 = 5*w - j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049464.\nAnswer: 2, 13, 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 7. Let l = 236 - 350. Let z = l - -301. Calculate the greatest common factor of z and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*n = 1699 + 1138 + 34 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -24. What is the nearest to k in 0.4, -0.3, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4fe1b (base 16) in base 14?\nAnswer: -87351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3) + 1)**2 + -3 - (sqrt(18) - (sqrt(18) - 1*sqrt(450)))\/sqrt(6).\nAnswer: -3*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -3 + (-18)\/(-2). Suppose -2*x - 160 = -7*x. Let m = -18 + x. What is the greatest common divisor of y and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(2 + -34) - 82\/(-8). Determine l so that -k*l**3 + 10*l + 14*l**2 + 8*l**4 - 19*l**2 - 3*l**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 134560474*r**2. Let d(g) = g. Calculate m(d(o)).\nAnswer: 134560474*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -11, -28, -63, -122?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28, -69, 32, 413, 1212?\n\"Answer: 23*d**3 - 67*d**2 - d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 minutes after 9:25 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.651 + 4.651. Put -3, j, -23, 4 in decreasing order.\nAnswer: 4, j, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 6*v + 5. Let y be u(-6). Solve 5*b - 11 - 14 = i, 15 = i + y*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45445 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6185.586 centimeters in nanometers?\nAnswer: 61855860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 9 = 6. Let y be (12\/l)\/(8\/20). Put 1, -2, y in increasing order.\nAnswer: -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide (-166986)\/(-90) - (-18)\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 20 = 2*j - 4, -3*x - 2*j = -4. Let v be (2 - 1)*x\/2. Suppose 0*i + v*z - 4 = i, 0 = 3*i + 2*z + 4. Is i at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206.072125939 + -2.126437341. Let n = 207.43856 + i. Let h = -0.76 - n. What is h rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r - 3*r**2 + r - 1 + 2*r**2 - r**2 + r**2 + (2*r - 3 + 3)*(-79*r + 78*r + 42*r) + 3*r - 3*r + 2*r**2.\nAnswer: 83*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -19. Is m at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.33 - 0.03. Let u be (-2 - -3)\/(0 - -1). Let g = -1 + u. What is the third smallest value in g, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/8377503 and -40\/117993.\nAnswer: 8377503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o + 3. Let j be h(-2). Suppose g = 4*g - 6. Let w(m) = m**g - 4*m**2 - 2*m**2 - 2*m - 1. What is w(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326675 is divided by 597.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -149.3 and 12.803.\nAnswer: -1911.4879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.048266 (c) -4 (d) 1\/17 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 12\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-5 + 2*a**2 + 5) + 37792*a - 37792*a - 191*a**2 + 6*a**2 - 5*a**2 + 0*a**2.\nAnswer: -188*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128959?\nAnswer: 128959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 17438670*n + 52316055.\nAnswer: -5*(n - 3)*(n + 3487737)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxw when three letters picked without replacement from {x: 4, m: 2, w: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2316 + 1501 = 227*l - 42 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2 - 118. Suppose 0 = -a + 13 - 2. Suppose p - a = -0. Calculate the remainder when u is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6952 - -0.0042. Let h = f - 3.309. What is the closest to 0.1 in h, 5, 2\/33, 1?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 4:02 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.001 plus -0.148?\nAnswer: 3.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8436824 (base 9) to base 13\nAnswer: -c1cbb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1792, 1795, 1798, 1801?\n\"Answer: 3*l + 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652201, 1304414, 1956627, 2608840?\nAnswer: 3261053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*y**2 + 6*y + 5*y - 8*y + 4*y wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 78a9?\nAnswer: -7904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2. Let h(y) = -165*y - 1. Calculate h(t(m)).\nAnswer: 825*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30750369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j - 6. Let z be n(5). Find the common denominator of -15\/8 and 2 + 3\/(18\/z).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 4) to base 16\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**5\/50 + 131*m**4\/15 - 104*m**3\/3 + 5934*m. Factor y(c).\nAnswer: -2*c*(c - 260)*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -772410 divided by -128735?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 308055451 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuchqchqaiccq. What is prob of picking 3 q?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 52514, 419607, 1415918, 3356057, 6554634, 11326259, 17985542?\n\"Answer: 52435*a**3 - a**2 + 51*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 465 times 0.12\nAnswer: 55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + -2 - -5) + (-215 - -191)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 - 10*h**2 + 143*h + 512. What is n(-7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17112 = -27*h - 4*h. Let f = -550 - h. Which is the second smallest value? (a) -1\/4 (b) f (c) 1\/2 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 7, j: 4, y: 1}. Give prob of sequence ju.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**3 + 539*p**2 - 10*p - 770. Let s be h(-77). Let r = 5 + 13. Solve s = -0*i - 6*i + r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 865 + -868.3. What is the third smallest value in -1, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1074*a**3*m**3 - 5*a**3*m**2 - a**3 - 4134*a**2 wrt m.\nAnswer: 3222*a**3*m**2 - 10*a**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1 + 0 - 1 + 3 - 1 + 1 - 1 + (-3 + 0 + 5)*(2 - 6 + 5))*(3*x**2 - 6*x**2 + 2*x**2)*(-3 + 0 + 2)*(0*x + 0*x - x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*x**2 + 148*x**2 + 157*x**2 + 122*x**2.\nAnswer: 167*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 1027 (b) 3 (c) -0.03 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 22 = 2*z, 28 = 5*z + d - 0*d. Solve -5*q = -z - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7))**(-19) assuming d is positive.\nAnswer: d**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**6\/120 + m**5\/60 - m**4\/24 + m**2. Let a(t) = -3*t**3 + 3*t**2 - 5*t + 1. Let x(i) = a(i) - 4*v(i). What is x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 5 = -2*w. Suppose -w*k = 6, -2*a - k = -5*k - 36. Calculate the greatest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 96 = 11*r. Is (r\/(-3) + -7 - 1) + 2223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 722?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6304 + 50507\/8. Suppose 12 = -2*f + 4*f. What is the common denominator of (60\/9)\/(22\/f) and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 105.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1678 - 14962 = 407*z + 233*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 43, 77, 111, 145, 179?\n\"Answer: 34*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*150\/(-50)*-13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2644 is divided by 620?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 3*p - 3*p - 4*p + 4*p - p + 3*p + 0*p - p + 1 - p - 1 + (3*p - 5*p + p)*(6 - 2 - 2) - 676*p - 755*p - 636*p.\nAnswer: -2071*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y = 132. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -227 + (-10)\/40*-28. Let i = y - -220. Factor -2\/9*w - 2\/9*w**2 + i.\nAnswer: -2*w*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y = 47*y + 56 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -111, 68, 559, 1500, 3029, 5284?\nAnswer: 8403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 757.72 nanograms?\nAnswer: 0.00000075772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 2)*4\/(-10). Suppose t + 0*t + f*m + 18 = 0, -4*t - 12 = -4*m. Let c be 12 + (-4 - t)*1. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5953831289.\nAnswer: 7, 121506761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/15)\/(68\/340) - -1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977902491 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 1, 1.4, 26\/5, 3, -1.12?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 51*k - 1577. Let j be y(31). Solve -3*x = -9, 2*l - j*l + 4*x - 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 263*z**3 - 338 wrt z.\nAnswer: 789*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/10 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooqqqotobqquoqooulq. What is prob of sequence uto?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*n - 10, 5*n - 14 + 19 = -5*d. Which is the third biggest value? (a) -6 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397512 a multiple of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*n = 174*n + 63 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 332 + -1a84be?\nAnswer: -1a818c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4980\/7 - 710. Determine z, given that -4\/7 - 6\/7*z + f*z**2 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lul when three letters picked without replacement from lllu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -4*g**3\/3 + 52. Let t(q) = -q. Calculate p(t(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 33 - (13 + -25 + 16 + 1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*s - 3*s. Find the common denominator of 4\/s + (-739)\/36 and -4\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1057 - 7379\/7. Let x = -42 - 84. Calculate the common denominator of (8\/18)\/((-12)\/x) and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.531583 nanograms in kilograms?\nAnswer: 0.000000000005531583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7856*p - 1954. Let k be r(3). What is the highest common divisor of k and 404?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 28. Let g = 12 - i. Solve -5*v = -12 + g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -31*d**2\/2 - 280*d - 18 = 0?\nAnswer: -18, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/2*-12*19\/(-228).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38401 is divided by 264.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1868*f**3 + 0 + 2.\nAnswer: -1868*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 4*c**3\/3 + 44*c**2 + 228*c - 339. Suppose t(y) = 0. What is y?\nAnswer: -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(171)*-1)\/sqrt(9).\nAnswer: -sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*s - w, -s + 22 = 6*w - 2*w. Suppose -v + 17 = 8*h - 4*h, -h + 8 = v. Solve s*f = l - v, 5*f - 7 = -5*l + l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 2, 0.40677, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2263516 - -1?\nAnswer: 2263517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2887344\/11 + 262757. Let x = a - 271. Let h = -0.7 + 1.7. What is the nearest to h in x, 3\/2, 0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2398 divided by -10?\nAnswer: 1199\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -864)*40\/(-30). What is the greatest common divisor of 364 and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 43?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 + 1\/3*w**4 - 5*w + 18*w**2 - 4*w**3. Factor b(n).\nAnswer: 4*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199 + -232. Let i be 3\/d - 238\/(-77). Let g(x) = -x. Let t(l) = 4*l + 6. Determine i*g(c) + t(c).\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 19*o + 24. Let m be p(15). Is m less than or equal to 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/11 - 20402524*i\/11 - 81610064\/11 = 0. What is i?\nAnswer: -10201258, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425310583.\nAnswer: 491, 866213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266185715898 + -0.064.\nAnswer: -266185715898.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 3*l**2 + l - 3. Determine r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 82899, 0, 4 in increasing order.\nAnswer: 0, 4, 6, 82899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/126 and -43\/33.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 2, z: 1, r: 1, k: 1, j: 2}. Give prob of sequence xjk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1\/7 (b) 13151 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-24)*7\/(-21)*-2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 3*o + 1. Let a = 1144 - 1139. Let s(x) = -x**2 - 4*x - 2. Calculate a*s(l) + 7*f(l).\nAnswer: 2*l**2 + l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130.1 - -130. Which is the nearest to u? (a) 3\/7 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 10*w**2 - w + 6. Calculate the remainder when 61 is divided by c(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and ((-2)\/(-3))\/((-8)\/(-60)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*i + 70*i - 6 + 36*i - 5 + 59*i + 11.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*g + 18967 = -7385. Solve -209 + g = 7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100110111001 (base 2) to base 11\nAnswer: -10114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101826658*c*o**3 - 2702*c*o - 19269*c - 2*o**3 wrt o?\nAnswer: -610959948*c*o - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20, 63, 106, 149, 192, 235?\n\"Answer: 43*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 15*r**2 + 34*r - 6. What is y(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - f**4 + 0*f**4 - 4*f - 4*f**4 + 4*f + (f**3 - 4*f**3 + 4*f**3)*(-450 + 450 + 36*f) - f**2 + f**2 - 3*f**4.\nAnswer: 26*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 3*i**2 + 195*i + 916*i.\nAnswer: 2*i**2 + 1111*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9202 divided by 4601.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 22 + 2 = 0. Suppose -c*x = -9*x + 220. Let d = x - 31. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*2*-2)\/(sqrt(160) - sqrt(160)*2))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**5\/150 + 587*r**4\/60 + 196*r**3\/5 + 9287*r**2. Solve y(m) = 0.\nAnswer: -1, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.064 - -1297.636. Round p to the nearest 10.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015*f - 1470*f + 10 + 448*f.\nAnswer: -7*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -11. Does 9 divide t\/4 + (-26)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2197809 at most -2197810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1272c0 - -22?\nAnswer: -12729b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20222388.9 minutes to weeks.\nAnswer: 2006.189375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 893*a*m - 368*m + 2 with respect to a.\nAnswer: 893*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*l - 24738, 1 = -l - 2. Let u be (0 + c)\/(3\/(-72)*3). What is u rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2945 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9.7 * 0.2\nAnswer: 1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:27 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**7\/945 + 74*b**6\/135 + 11099*b**5\/135 + 3626*b**4\/9 + 2401*b**3\/3 + 82*b**2. Determine a, given that l(a) = 0.\nAnswer: -147, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24279 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -19. Let x = -14.5 + s. Let m = x - 1.3. Do m and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d + 1050. What is the units digit of v(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910*s = -989*s. What is i in s - 2\/5*i**4 + 16\/5*i - 24\/5*i**2 + 12\/5*i**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1005 and 1532290?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**6\/120 + d**5\/15 - d**4\/24 - d**3\/2 + d**2. Let t be f(3). Is 235\/t - (-6)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3881646 and 4450?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/52, 170, -10, -49 in descending order.\nAnswer: 170, -3\/52, -10, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66456597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1165.584 and 0.05?\nAnswer: -58.2792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4838, 4833, 4824, 4811, 4794, 4773, 4748?\n\"Answer: -2*q**2 + q + 4839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f + 4*m + 3, 5*f - 3*m = 8. Suppose -40 = -5*i - 5*g + 2*g, -2*i + 5 = -g. Suppose -b = -i*b + 16. Sort f, -3, b.\nAnswer: -3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16682710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3 + (14 - 16)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2068919, 4137836, 6206753?\n\"Answer: 2068917*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7)\/((v\/v**(-1))\/v))**(-33\/5))**(1\/75) assuming v is positive.\nAnswer: v**(11\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 24*v - 24. Let b be h(-9). Calculate the highest common divisor of 40 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 2*r**2 + 2*r + 18. Let o be v(0). Suppose 0 = 4*q - 0*i - 3*i - 24, -30 = -5*q + 4*i. What is the highest common divisor of q and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 27 = -2*t + 19, 0 = t - 5*f - 19. Let k be 1\/(-1) - (-317 + -1). Let w = k - t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1424\/48)\/((-7)\/(-3)). Let t = 13 - g. Let q = 0.07 - 2.07. Which is the fourth biggest value? (a) t (b) 1\/6 (c) q (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 2) + 55\/11. Find the third derivative of -28*n + n**5 - n**2 + 95 - 95 + 6*n**i wrt n.\nAnswer: 720*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/(-3))\/((-4)\/12). Suppose -4 = 2*d - u. Let r = 9\/7 - 25\/14. Is d less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-27)\/(-225))\/((-1)\/30*-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence haka when four letters picked without replacement from {h: 3, l: 2, k: 2, a: 6, j: 1}?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, -0.01, 1, -11\/4 in increasing order.\nAnswer: -11\/4, -0.01, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1722 = -5*k + 4*o, 10*o - 1725 = 5*k + 5*o. Which is greater: k or -337?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23070 (base 11) to base 12.\nAnswer: 17374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23430 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 7*p**2 - 8*p - 2. Let f be (3 - 7) + 8 - (8 - 10). Calculate r(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1\/2*u**6 + 3 + 0*u + 0*u**4 - 7\/3*u**3 + 0*u**2 + 0*u**5. Find the third derivative of q(o) wrt o.\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809.461 months in years?\nAnswer: 234.12175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14991 times -0.3175\nAnswer: -4759.6425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 - 48*s**2 + 14*s**2 + 16*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r**2 - r + 1. Calculate z(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/60 + 15*p**2. Let l(d) = -21*d**2 + 41*d - 41*d. Give g(l(q)).\nAnswer: -441*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**3 + 12*i**2 + 8*i = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -39 + 37 - (5 - (0 - -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 24. Give b(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2112 and 1804?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4159.\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -127230 (base 9) in base 8?\nAnswer: -227227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(320)*1 + -2.\nAnswer: -3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 r when three letters picked without replacement from {e: 6, y: 1, r: 1, b: 3, s: 1, k: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by 1418501.\nAnswer: -89\/1418501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -311, -352, -421, -518?\n\"Answer: -14*r**2 + r - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**7\/14 + 3*q**5\/20 - 136*q. Factor g(p).\nAnswer: -3*p**3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + (sqrt(108)\/(sqrt(64)*-4))\/((sqrt(18)\/sqrt(2) + sqrt(9))*4 - sqrt(36)\/(-1*sqrt(4))))**2.\nAnswer: sqrt(3)\/12 + 248833\/6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 189, 275, 345, 393?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -77. What is the lowest common multiple of i and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.54952255 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-63)*(-14)\/27\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/3 - 10*d**4\/3 - 32*d**3\/3 - 26*d**2\/3 + 11*d + 12 = 0.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -355, -502, 859 in descending order.\nAnswer: 859, -355, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g - 12. Suppose 5*s = 4*x - 40, 4 = -x - g*s - 7. Let d = x + -1. Calculate the lowest common multiple of d and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c27d5 (base 16) to base 13.\nAnswer: 1b97a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 - 5*m + 5. What is n(4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 5924\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 16*d - 159. What is c(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, -12, -4, 20, 66, 140?\n\"Answer: k**3 - k**2 - 6*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + sqrt(272) + 0 + -4 + (-3 + 1*sqrt(272))**2 + (1 + sqrt(272) + -1)**2 + -3.\nAnswer: -16*sqrt(17) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1540 and 21560.\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 4*q + 2. Let v be u(4). Suppose 4*t + 1 = 5*s, 5*s + 2 + 5 = 2*t. Which is the smallest value? (a) 5 (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12142*p**3 - 11628*p wrt p?\nAnswer: 72852*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from {e: 1, z: 12, p: 3, f: 1, i: 2}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13400 (base 6) in base 3?\nAnswer: -2212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159 + 165. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 54011.\nAnswer: 54011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, 0, -4, 5, -2 in descending order.\nAnswer: 165, 5, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + (-287)\/(-42))*29199*-2?\nAnswer: 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a - 2. Let k(r) = -r. Determine b(k(v)).\nAnswer: 6*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(48\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4*q + 6. Let x be y(4). What is the third derivative of -10*h**2 + 496*h**5 + 3*h**x - 496*h**5 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.03 plus -0.4?\nAnswer: 5.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*(i*i*i**(-5)*i*i)\/i*i*i)\/i)*i*i*(i*i\/((i**(-3)\/i)\/i))\/i)**(-1\/5))**(33\/7) assuming i is positive.\nAnswer: i**(-297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64 - -25?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 2*h - 1. Let w(l) = 498*l**2 + 24*l + 4. Let n(r) = 4*j(r) - w(r). What is the second derivative of n(i) wrt i?\nAnswer: -956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -32. Which is the closest to f? (a) -5 (b) -1\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670192711 to the power of 1\/2, to the nearest integer?\nAnswer: 25888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-607)\/(54630\/(-5400)) - (-25)\/(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7141\/15 + 1391\/3. Let u = y - -64\/5. Which is the closest to -2? (a) -0.1 (b) u (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56819 and 121.\nAnswer: -6875099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 - -148. Let a(n) = n**2 + 4*n - 3. What is a(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.026308 months to centuries.\nAnswer: 0.00168859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 77*q**2 - 56*q - 695. Give i(-38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2 + 9*k - 9. Let y be j(11). Let i = y + 398. Which is the closest to -7? (a) -1 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -245619, -245624, -245629, -245634, -245639?\n\"Answer: -5*c - 245614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 48*b**3 - b**2. Let p(s) = -s**3 - s**2 + 1. Give 2*c(a) - 2*p(a).\nAnswer: 98*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a - 2. What is the units digit of s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/2*(-74)\/(-111). Suppose 124 = 5*o - 51. What is the greatest common divisor of s and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -7 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/(-5))\/(((-342)\/(-9240))\/(-19))?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -2*m, -18*m + 21*m - 6 = 0. Let s(b) = -12*b + 2. Let p(c) = 23*c - 4. What is j*s(d) - 6*p(d)?\nAnswer: -6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3765 and 2259?\nAnswer: 11295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 + 3. Let g = k + 0.5. Let p = -229\/3 + 77. What is the nearest to g in p, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2. Let k(b) = -b**2 - 2*b + 2. Let u be k(-5). Let o be u\/(-3) - 1\/3. Let i(n) = -o*n + n + n. Determine i(r(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 114? (a) 15\/8 (b) 0.5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243508.\nAnswer: 2, 17, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 66*s**2 - 2*s - 3. Let v be o(-1). Suppose v*b - 111 = 62*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040 and 20145.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372737 divided by 75.\nAnswer: -372737\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2446002042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739397 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: Sort 0.01, -2\/115, -2 in increasing order.\nAnswer: -2, -2\/115, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -3, -1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.6 + -15.8. What is the closest to 0.2 in -115, t, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10807 divided by -1555?\nAnswer: 10807\/1555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/17 (c) -2\/19 (d) -3\/5 (e) -4105 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.881 plus -1469.5678?\nAnswer: -1471.4488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252, 4\/9, -4, -0.082 in increasing order.\nAnswer: -252, -4, -0.082, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + t + 2)*(1 + 3 + 0)*(-1 + 3 - 3).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + u + 2, 0 = 686*f - 681*f + u + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 42*n - 140. Suppose 5*h + 2*v = 7*h + 78, -5*h - 5*v = 185. Let i be l(h). Solve u - 14 = 3*c, -c - i = 4*c + 4*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830 - 1560*s + 830.\nAnswer: -1560*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/((70\/(-40))\/7). Suppose -2*l + x + 2 + 8 = 0, k*x + 4 = 0. Solve -z = -4*j + l*z - 4, 5*z = 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3766\/5 = 753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:24 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 12*v**2 + 11*v - 5. Let p be ((-6)\/6)\/((-1)\/11). Let c be u(p). Let s(j) = -j**3 - 6*j**2 - 3*j + 4. What is s(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11930649431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 43596*s - 1663034814.\nAnswer: -2*(s - 76293)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*a - 12 = -y, 4*y + 21 = -3*a. List the prime factors of y - (-3 - -6 - 26).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -144, -2\/11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 72*s - 545 = -59 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8370 and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -1. Suppose -n*j = -14*j. Sort -4, j, -1.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -343 < 3\/23564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 20 = -j. Is 22 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-442))\/((-506)\/4301)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 9*t**2 - 11*t - 10. Calculate d(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 86*i - 3. What is the tens digit of d(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*7\/112*8\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2806076550 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/330890 and 11\/11774.\nAnswer: 9595810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 r when three letters picked without replacement from {r: 2, x: 1, i: 1, p: 1, t: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 288. Suppose 140 = -y + 5*a, 3*a = -3*y - p - 270. Let r = y + 204. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 392 - 112. Is 40 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 27*i**2 - 29*i + 101. Calculate b(26).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 1, 5*v + 2*b - 7 - 16 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.5 - 12.5. Let h be 7\/(71820\/(-4149)) - 2\/(-5). Is h not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 813*m = 807*m - 30, 0 = 2*f - m - 13 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**4 + 5*n**3 - 3*n**2 + 3. Let h(v) = 9*v**4 + 11*v**3 - 7*v**2 + 7. Let g = -7 - -10. Let k(p) = g*h(p) - 7*a(p). Factor k(m).\nAnswer: -m**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19099 rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -118530 - 2610*b**3 + 230953 - 116103 + b**4 wrt b?\nAnswer: 4*b**3 - 7830*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 times -51\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 114 in -2, -4674, 2, -4, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 n when three letters picked without replacement from {p: 2, n: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2933972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5178 (base 13) in base 11?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 16*s**2 - 7*s - 10. What is the tens digit of j(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*p + 74, 4*p = 5*p - 3*w - 48. Calculate the smallest common multiple of p and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6 - 2 - 87*l + 3. Let s(q) = -q**3 + 7*q**2 - 4*q - 7. Let u be s(6). Let n be c(u). What is n rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -2\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149545 divided by -13595.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + w**3 + 4*w**3)*(3 - 1 - 4) + 0*w**3 - 3*w**3 + 4*w**3 + 12 - 4*w**3 - 25*w**2 - 14 + 3*w**3.\nAnswer: -4*w**3 - 25*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 2*d + 270 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*((-645)\/(-12))\/(-5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 11. Let x be y(-6). Let u = x - 16. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/3*(41 - 50). What is the highest common factor of 105 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 9 - -4 - (-1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p - 27. Let k(d) = -5*d + 1. Let r(m) = -2*k(m) + w(m). Let l be r(-6). Which is the third smallest value? (a) l (b) -92\/5 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + y - 1. Let w be j(0). Let l be 6\/70 - (-4)\/(-14). Let f be 0*4\/16*-2. What is the nearest to 1 in l, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662716 is divided by 132527.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*d*k**4 + 11*d*k**3 - 39*d + 13 with respect to k.\nAnswer: 144*d*k**3 + 33*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a, -c - 5*a - 26 = 2*c. Is ((-632)\/c)\/((-2)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73*b**2 - 1112 + 1112)*(-12 + 12 - 4*b) to n*b + w*b**3 + j*b**2 + s and give w.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -822893276.89999834 - -822893287. Let o = 10.1 - a. Round o to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 6857.\nAnswer: -8\/6857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003969 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1578695 = w + 3*c + 1578674, -5*w = 2*c - 53 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n - 19. Let f be p(-8). Suppose -5*d = -f*u - 95, -5*u + 3 = -0*d + 2*d. Let r be d\/35 - 93\/(-5). Which is greater: r or 18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/(n*n*n\/n**(-1)*n*n)))\/n*n)\/n)**(-4\/21))**21*(n**(-6\/11)*n**(-4))**(8\/7) assuming n is positive.\nAnswer: n**(-1940\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15464 + -15442. Which is the closest to -11? (a) -2 (b) n (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -2\/7, 5\/4, -0.5, -4\/3 in descending order.\nAnswer: 34, 5\/4, -2\/7, -0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16252 divided by -239.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*l**4 - 3009*l**3 - 1816647*l.\nAnswer: -1308*l**2 - 18054*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 17*h**2 + 15428*h.\nAnswer: -h*(h - 133)*(h + 116)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 4257393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (550\/(-770))\/(58\/406)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/120 + b**5\/20 + b**4\/6 - b**3\/6 + 13*b**2. Calculate n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 19*j**2 - 39*j - 216. Does 52 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/(-6)*9\/2. Let p = k + 74. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 - 82. Let g be a\/2*1\/(-3). Differentiate g*y - 3*y**3 + 1 - 6*y with respect to y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4\/6 - 10507*q**3\/6 = 0.\nAnswer: 0, 10507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 16 = 5*i. Suppose i*o = 24 + 36. Solve -2*d - 4*l - 4 = -6*d, 3*l = -o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3*f - 3. Let m be n(-5). Solve m = -j + k, -4*k + 0*k = -8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1002, -2002, -3002?\nAnswer: -4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 - 48818808*d**2\/11 + 48818810*d\/11.\nAnswer: -2*d*(d - 1)*(d + 24409405)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9157?\nAnswer: 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 99*i - 378. Calculate m(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(60) - 1*sqrt(2940))\/(sqrt(144)\/sqrt(300)))**2*4.\nAnswer: -108000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2726 + 2724. Sort -6, -4, n, -35, 2 in ascending order.\nAnswer: -35, -6, -4, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose 7*x - y*x = -32. Let i be x\/36 + 4\/(-9). Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.31? (a) 0.5 (b) 0.2 (c) 1 (d) 117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from llllllllllslllslslll.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 - 69. Suppose p*w = 76*w - 6. Calculate the common denominator of -70\/3 and w\/10*(3 + 935\/30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 35. Let c = 20 - d. Let z = -20 + c. Solve -2*o - 4*w = -2, -5*o = -z*w - 4 + 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(13)*3)**2 + 1 + sqrt(13) + -3).\nAnswer: sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 12*p**2 - 12*p - 18. Let i be (-45)\/(3 + -8) - -1. Does 14 divide o(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8. Suppose q*w - 5*w + 72 = -x, x - 20 = -w. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456228 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 3*v**2 + 1. Let y be j(3). Solve 2*d - 7 = y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4127, -8239, -12351?\n\"Answer: -4112*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23906, -24028, -24244, -24554?\n\"Answer: -47*n**2 + 19*n - 23878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-3 + 2 + -1 - (36 - 44))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.065, 67, 0.4, 237?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 88, 75, 60, 43?\n\"Answer: -h**2 - 10*h + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in -5, 1\/6, -4\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 100736497, 100736496, 100736495, 100736494, 100736493?\n\"Answer: -y + 100736498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -x + 11, 6*o - 43 = o - 2*x. Suppose 4*u = -4*z + 20, o*u - 3*u = 2*z - 40. Let r(w) = w**3 - 11*w**2 + 9*w + 6. Calculate r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(7\/4)\/((g**18\/g)\/g)*g**(-2\/3)*g\/(g\/(g\/(g**(-6\/7)\/g))*g))**(-18\/7) assuming g is positive.\nAnswer: g**(3291\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/(3\/(-1340 + -1)). Let a = k - -641. Suppose 3*r - a = -r - x, 3*x = 12. What are the prime factors of r?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*s = -27, 2*l + 28 = -2*l + 4*s. Let t = -41 - 7. What is the remainder when 29 is divided by (-320)\/t + l\/(-6)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:35 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5 = -m, -3*m - 3*r - 5 = -r. Let z(i) = -13*i + 2. Let c be z(m). Solve 4*k - c - 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 24. Suppose 4*p + 3*v - 21 = p, -5*v = -p - 5. Suppose 3*a - g = 2*a + 6, -37 = -p*a - 2*g. Calculate the remainder when j is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppypoppppcppcpopypp. What is prob of sequence py?\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.651928 to two dps.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-336*m + 84*m + 105*m)*(-26*m - 292 + 292) + (-2*m + 2*m + m)*(-4*m + m + 2*m).\nAnswer: -7645*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17940 (b) 2.6 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 1\/15*x**4 + 0 + 0*x**3 + 1\/75*x**5 + 3*x**2 + 0*x - 1\/150*x**6. Factor c(q).\nAnswer: -4*q*(q - 2)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 10 = 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*h + 125, 2*h + h - 5 = -r. What is the smallest common multiple of 6 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/27)\/(g\/g**(-1\/22)))**(5\/12)\/(((g\/(g\/(g**(-7)\/g)))\/g*g)\/(g*g**(2\/19))*g**(2\/9)\/(g\/(g*g\/g**(-6)))) assuming g is positive.\nAnswer: g**(191849\/135432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/3)\/(1\/138).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2032\/9 + -226. Let p = -0.12 - -0.52. Suppose 2*o + 7 = 9. Which is the closest to o? (a) p (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.03 + -1637220.46\nAnswer: -1637219.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10607\/4 + 2669. Calculate the common denominator of k and 79\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((sqrt(22) - 1*sqrt(22) - sqrt(22)) + sqrt(22))\/sqrt(11))**2 - sqrt(64)\/sqrt(8)).\nAnswer: -2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2034*k*m + 4725*k - 10708*m + 793 wrt m.\nAnswer: -2034*k - 10708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 23*v + 45. Let w be g(-25). Let p be (-728)\/(-70) + 2\/w. Calculate the highest common divisor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(2\/3). Let t(y) be the second derivative of -y**3\/2 + y. Let r be t(l). Solve 3*k - x + r = -4, 0 = -x - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18820 + -14312. What are the prime factors of d?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014817 to seven dps.\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/45 - 4\/6. Let z be (-1)\/((3\/(-7))\/3). Suppose 4*v = z*v - 6. Solve -2*p - v - 4 = d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (178*m**2 + 1 - m**3 - 182*m**2 - 2)*(2*m + 2*m - 3*m) to the form y + c*m**4 + j*m + f*m**3 + q*m**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 15 = 5*z, 5*z = 4*q + q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**2 - 1\/6*b**3 + 0 - 2\/15*b**5 - 1\/24*b**4 + 0*b. Calculate f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75636224 or 75636223?\nAnswer: 75636224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 13*g + 2. Let o be k(8). Let q = -20 - o. Suppose -5*m + 148 = q. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/((-15)\/(-280)). Let v be r\/6*54\/(-36). Suppose v*y + 8 = 11*y. Solve y*w = -16 + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*sqrt(363))**2 - sqrt(30)\/(sqrt(50)\/sqrt(5))).\nAnswer: -sqrt(3) + 1448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 10 = 2, 13*v - 3*u + 77 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2014 and -1997 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -6, 27, -4, 7 in descending order.\nAnswer: 30, 27, 7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 382026, 382027, 382028, 382029, 382030, 382031?\n\"Answer: w + 382025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (8 + -4 - (0 + 16 + 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74113, 148223, 222333, 296443, 370553, 444663?\nAnswer: 518773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1257\/4*p**3 - 3\/4*p**5 + 0 + 5511\/4*p**2 + 105\/4*p**4 - 1089*p = 0 for p.\nAnswer: 0, 1, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 11475*o + 414452. Give s(36).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 101*r + 2053. Does 31 divide y(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 41*x**2 - 59*x + 20. Is a(37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -42\/11?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-7))\/(16\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*z**4 - 45*z**4 - 5*z + 7 - 9 + 25*z**4 as b*z**3 + c*z**2 + j*z**4 + t + s*z and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*f - 9797 = 3228, 2*x + 4*f - 5186 = 0. Suppose g = 5*u - 93712, 3*u - 58833 + x = -g. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -174 (b) -1\/7 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15 = -4*q + 3*q, -3*q = s. Let l(c) be the first derivative of -2*c + 4 + 6 + s. Let o(n) = n**3 - 2. Give -2*l(p) + 2*o(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -28) + (-112 - 32 - 14) - -8\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 + -91 + (-5 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 31*y + 48. Calculate x(5).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - -56 - (-24 + (6 - 4) + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*j - 2 = -10, -c - 2 = -j. Let f be 0 + c - (-16)\/(-24). Sort f, -1, -0.1.\nAnswer: -1, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 39423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82483, -83579, -85405, -87961, -91247, -95263, -100009?\n\"Answer: -365*v**2 - v - 82117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -38. Suppose -2*o - 56 = -r - 6*o, -2*r - 4*o = -108. Let f be 1 + -1 - 14\/r*2. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 214 = -282. Sort 4, -15, z, -2 in decreasing order.\nAnswer: z, 4, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002447407464 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = -7, s = -4*u + 3. Suppose y = -4*y + s. Solve -y*f + 7 = -8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-3)\/(-4)) + 247\/(-572)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let f be j(10). What is the units digit of (-4)\/f*(27 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 10:43 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from sysyssysysssss?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x**2 + 9*x**2 + 7*x**2. Let b be 2 - -1 - (-2 + 1). Let v(p) = 128*p + b*p**2 - 128*p. What is f(v(i))?\nAnswer: 112*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-7 - 0) + (-20 - -5) + 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -126*c**2 - 37*c**3 - 34*c**2 + 42*c**3 - 340*c = 0.\nAnswer: -2, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*c = -88, c = -4*q - 150 - 172. Let k = q - -85. Suppose k*a - 11704 = 12891. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -40. Suppose -2*f - 5*u - 187 = 0, 2*u - h = -f - 110. Round f to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v - 156 + 231 = 0. Solve x - 4 = -v*c, -2*x + 8 + 0 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 + (23 - (-19 - -24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3 + 25. Let t be 1124\/m + (-6)\/(-21). Find the common denominator of 28\/9 and (-14)\/3*(-195)\/t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59.22 times -0.483\nAnswer: -28.60326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-94)\/(-6) - (-6)\/18. Let n(u) = u - 30. Let s be n(l). Let x(v) = v**3 + 13*v**2 - 19*v - 15. What is the units digit of x(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/5 + 39*s**2\/5 - 15*s + 37\/5 = 0.\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - 7*m + 14*m + (-m - 2 + 2)*(-5 + 3 + 1) + (6*m - 12*m - 2*m)*(0 - 6 - 2) in the form s + w*m and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0.5, -1, 12294, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 24. Let a be w(-14). Suppose 0 = -a*n + 5*u + 1152015, n + 116418 = u + 404421. Suppose -8*z = -6*z + n. Round z to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = 12. Let p be 153542\/h + 2\/(-6). Suppose p = 5*g - 54410. What is g rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -15*u**5\/2 + 33*u**4 - 27*u**3 - 24*u**2 + 69*u\/2 - 9 = 0.\nAnswer: -1, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-63) - 105\/(-196)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7815 + -2736. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11501571 = -3*y, 3*y + 6849087 = 2*a + 18350679. Let r = y - 2033862. Round r to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 - m**2 - m + 1. Let v(l) = -l**3 + 2*l**2 + 4*l - 2. Let p = -1 - -4. Let k be v(p). Determine n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 32. Suppose 5*u + 657 = 232. Let m = 131 + u. Calculate the remainder when m is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0.1, 5, -3\/4, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 plus -3532272093629?\nAnswer: -3532272093627.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((368\/48 - 12) + 4)\/(10\/2820)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 578\/(-112) - (-4)\/14. Let j be 2 + -3 - 627\/(-104). Let v = j + b. What is the third biggest value in v, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrtugsp. Give prob of picking 1 r and 1 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500069.9nm to kilometers.\nAnswer: 0.0000005000699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47194562 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a + 2c6?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 325?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s + b + 31, 2*b = -5*s + 120. Let d = s - -1001. List the prime factors of d.\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1410?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75828440 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*u + 97, 0*o - 52 = -4*o - 4*u. Suppose -60*a + o = -54*a. Calculate the remainder when 10 - 0 - 4\/2 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 2*s**3\/3 - s**2 - 6*s - 4. Let t(p) be the first derivative of u(p). Differentiate t(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 0 + 5\/12*d**4 + 0*d + 0*d**3 + 11*d**2. Give z(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 5*n**2 - 5*n - 2. Let t be j(-4). Let c(x) = -x - x**t - 3 + 3. Let f be c(0). Solve -b = 5, f = 5*u + 2*b + 7 + 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {l: 5, y: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281710394.\nAnswer: 2, 7, 23, 197, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 - 6 - 6)*(-2*c**4 + c**4 + 3*c**4) + 2*c**4 - 4 + 3*c**4 + c**3 - 4*c**4 to b*c + p*c**2 + d*c**4 + z + j*c**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 159308, -5.\nAnswer: -5, -1, 159308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50, -1, 410 in decreasing order.\nAnswer: 410, 50, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3 + 4 = -3*p, -15 = -5*p. Let f(a) = 3*a + 2. Give f(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075769253 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-5))\/(6\/2960).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22583\/2355 + -5\/471. Let l(v) = 1304*v - 3. Let i be l(-2). Let a = -54881\/21 - i. Calculate the common denominator of a and w.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 0.43. Let o(f) = 2*f**2 - 27*f + 98. Let n be o(5). Put x, n, -0.3, 1 in ascending order.\nAnswer: -0.3, x, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2\/11 - 58*u\/11 + 60\/11 = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (542 + 2*y + 529 - 1021)*(-y**2 + 3*y**2 - 4*y**2) in the form k + p*y**2 + j*y**3 + d*y and give p.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 243.62908 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 155\/(-20). Calculate the remainder when 2\/8 - (-59)\/4 is divided by n\/6*99\/22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/10338 and 50\/15507.\nAnswer: 31014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3.351 (b) -1\/51 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 12:02 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 - (1 + -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 21. Let g be (-1150)\/7 - q\/21. What is the tens digit of 3 + 1*g\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8615, -59, -0.16 in increasing order.\nAnswer: -8615, -59, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*(sqrt(170)*2 + sqrt(170)) - sqrt(170)*-1*-5))\/(((sqrt(300) + 1*sqrt(300) - sqrt(300))\/sqrt(5))\/(sqrt(864)*-2)).\nAnswer: 384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 1929)*(-3 + 30\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155934?\nAnswer: 2, 433, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -367, -563, -885, -1333, -1907, -2607, -3433?\n\"Answer: -63*m**2 - 7*m - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 66\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*a*b**3*y + 3*a*b**3 + 132*a*b**2*y + 6*a - 2*b**3*y + 13*b**3 wrt b.\nAnswer: 102*a*y + 18*a - 12*y + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12879, 12877, 12875, 12873, 12871?\n\"Answer: -2*c + 12881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 19*k**6\/15 - k**5\/10 - 5*k**4\/6 - 2*k**3\/3 + 674*k**2 - 58*k - 62. What is the second derivative of y(m) wrt m?\nAnswer: 456*m**2 - 12*m - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (-11 + 2 + 3 + 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*1)\/((-28)\/630). Let d = -22 - b. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:50 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 19*s - 405. Let o be n(23). What is the third smallest value in o, -2\/13, 0.04?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -231 - 5?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -0.02. Let i = -771107\/6 - -128518. What is the closest to n in i, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3846497.\nAnswer: 23, 41, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 1*7) + 1. Let w(b) = -5*b + 1. Let t(k) = -19*k + 14. Let z(i) = t(i) - 4*w(i). Determine z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(8\/(-76) + 244\/152)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98962843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-5)\/(-30)*6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 1. Let l(k) = -k + 1. Determine l(u) + q(u).\nAnswer: 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + h + 7946 = 0, -2*j - 4*h + 1953 = -3321. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64*-3.510011.\nAnswer: -224.640704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -56. What is the remainder when r is divided by (-4)\/6 - 188\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*o - 6*o + 5, 5*n - 5*o = -5. Let x = -7.6 - 79.4. Let f = x - -84. Which is the second biggest value? (a) f (b) n (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 2157?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 6*o + o + 14*o - 18*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**4\/8 - i**3\/6 - 17*i**2\/2 - 16. Let t(v) be the second derivative of y(v). Let o(u) = u. Calculate 5*o(z) + t(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n. Let o(c) = -4*c + 3. Let k(t) = -3*t + 2. Let i(f) = -3*k(f) + 2*o(f). Determine i(w(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one eighths of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 14*o**2 - 2*o + 2. Let x = 58 - 72. Let l be n(x). Is 20495\/l - 2\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181 + 205. Solve -f + x = 5*s, -3*s = -0*f - 2*f - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 10*n - 15*n - 2*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4655 and 735.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 568 + -550. What is the smallest common multiple of 1 - 772\/(-14) - (-127)\/(-889) and f?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/9 + 3377*d\/9 + 25680590\/9.\nAnswer: -(d - 7030)*(d + 3653)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 17. Let t(r) = 3*r**2 - 155*r + 102. Let w be t(51). Calculate v(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from {h: 1, p: 1, e: 1, k: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319484906 to the power of 1\/3, to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1481 - -27c49?\nAnswer: 292ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, -26, -2, -3 in increasing order.\nAnswer: -26, -20, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 282*a**4 - 137*a**4 - 146*a**4 - a - 34 + 3*a**3 to j + d*a**2 + n*a**3 + p*a + r*a**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c**2. Let j(m) = 1293*m**2. Calculate q(j(h)).\nAnswer: 13374792*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 90 = -6*o + o, m + 4*o = 12. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/112*-76 - (-23)\/92*2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i - 1 - 4)*(-1 - 1 - 5).\nAnswer: -14*i + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b + 36. Let t be z(5). Suppose -4*c - 3 = -2*j - 1, 4*j - 3*c = -t. Let h(x) = 3*x - 1 - 1 - 5*x. Let q(n) = -2*n - 2. Calculate j*q(o) + 6*h(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 7*j - 2*j**2 - 22*j**3 + 25*j**3 in the form o*j + w*j**2 + g*j**3 + x and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q. Let h(m) = 26*m**2. Calculate h(d(i)).\nAnswer: 8424*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/5, -1\/19, 4, -0.2516, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -72479*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 412 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -2)\/(0 + (-3 - (-351784)\/117262)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 61. Let a be (1\/(-2))\/(2\/(-12)). Let p = a + y. Calculate the greatest common divisor of 126 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-1 + sqrt(72))*6 + sqrt(72))*5)**2.\nAnswer: -14700*sqrt(2) + 89425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laa when three letters picked without replacement from auuuauauuauaaaaluau.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*j = 148*j. Let g = 93 - 91. Suppose -3*r - 2*r = -g*k - 4, -2*k + 6 = 0. Solve 0 = b + o + r - 5, j = -4*b - 5*o + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r - 319. Give z(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94 - (2 - (-1 + 3)). Let c be 73 - -3*((-80)\/15)\/4. Let o = x - c. Solve -s + 5 = -g - 3*s, -3*g + 2*s + o = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2020 and 51\/25.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 1\/58, 29, 2, 0.2?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*m - 11. Let a(u) = u**3 - 7*u**m - 8 + 3*u + 5 + 2*u**2. What is a(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*n + 10 + 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5213355335020 + 5213333991641.999985. Let o = -21343300 - i. Let d = o + -78. What is d rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48038 + 48037.971759. Round r to four decimal places.\nAnswer: -0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:29 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 + 3*l + 2. Let j(x) = x**3 + x + 1. Let b = 25 + -18. Let q = b - 5. Let c(n) = q*j(n) - w(n). Find the second derivative of c(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k + 8 = 0. Suppose 3*h - 241 = -5*g, k*g = -h - g + 87. Suppose 9*p = -9 + h. Solve 5*j - 7 = -2*d, d - 3*j + p = -2*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + 3. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -7*m**5 - 3*m**4 + 4*m**3 = 0.\nAnswer: -1, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 4*o - 5*z = 4, 7*z - 1 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 4 (c) 2\/3 (d) 0.18 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 + 160814*r**2 - 643232*r + 643224 = 0 for r.\nAnswer: 2, 80403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 471553 (base 8) in base 11?\nAnswer: aa748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11411220 (base 5) to base 15\nAnswer: 21ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 616, 1062, 2312, 4768, 8832, 14906?\n\"Answer: 67*i**3 - 23*i + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:38 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -4*m**5\/15 - 4*m**3\/3 - 2*m**2. What is the first derivative of k(q) wrt q?\nAnswer: -32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*i**2 + 215*i**2 + 224*i**2.\nAnswer: 278*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 6, -4\/5, 2.\nAnswer: -4\/5, -2\/3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 + 19 + -126 + -73?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -17. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 23*i + 10. Let g be m(-5). Let b(h) = g*h**2 + 72 - 21 + h**2 - 40 + 8*h. Let c = -39 - -31. Calculate b(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(806\/(-124) + -19).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 39. Let n(s) = -4099565*s**2. Calculate a(n(i)).\nAnswer: 12298695*i**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11231 + -11167. What is the remainder when 118 is divided by j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066375 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 9*l + 5. Let w = 1 - 3. Let o(t) = 11*t + 47. Let q be o(-4). Let g(c) = c**2 - 10*c + 6. Let v(k) = q*h(k) + w*g(k). What is v(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*16\/4. Let t be (-1)\/(-2)*(10 + -8). Sort o, -4, t in ascending order.\nAnswer: -4, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n - 57 = 0. Let s(d) = d**2 - 3*d - 9. Let a be s(-6). Suppose -4*q - 17 + a = 0. What is the remainder when n is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2020*g**5 - 37342*g?\nAnswer: -40400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252) + 5 + sqrt(252))*3 + (-4*(sqrt(252) - (sqrt(252) - sqrt(252)*2)) - (-2*(sqrt(252) + 0) + sqrt(252))) + 1)**2*3.\nAnswer: -5760*sqrt(7) + 76368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591919660.\nAnswer: 2, 5, 433, 68351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/4 and 38\/413.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 6.3, -29\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 5*r + 1. Let j(c) = c**2 - 4. Let z(q) = -i(q) - 2*j(q). Let v(n) = n**2 + 7*n + 4. Let s be v(-5). Determine z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-10)\/4)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16804746 divided by -103733?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 10*x**2 + 6*x + 30. What is the remainder when 82 is divided by g(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6946 times 0.2?\nAnswer: 2.13892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16552396097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 - 4*s**2\/7 + 38*s - 260\/7.\nAnswer: -2*(s - 10)*(s - 1)*(s + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:43 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 212321441 - -305?\nAnswer: 212322150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = a + 14, -2*d - 35 - 10 = 3*a - 38 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 208520, 208527, 208534, 208541?\n\"Answer: 7*q + 208513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3512 divided by 39\nAnswer: -3512\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5414 + -832?\nAnswer: 47a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t - 72. Calculate o(30).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236 divided by 59.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79330603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*((sqrt(95) - (sqrt(95) + sqrt(95)*4 - sqrt(95))) + sqrt(95)))\/sqrt(5).\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 15. What is u(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.79 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(35)*2*2)\/((sqrt(847) + 1*sqrt(847))*-6).\nAnswer: 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 46449*n - 1532749. Give g(33).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 - 2728*t**4 - 624724*t**3 - 54423600*t**2 - 1592010000*t.\nAnswer: -4*t*(t + 75)**2*(t + 266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*z + 13. Let a(g) = 5 - 6 + 3 + z + g. Calculate a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 1. Let c be h(2). Suppose c*x - 10 = -2*r, -2*x + 2*r + 5 = -15. Let d = -5 + 7. What is the highest common factor of x and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 7*s - 1. Let l be u(8). Suppose -l*a = -17*a + 120. What is the second derivative of 17*n - 6*n**2 + 33*n**2 - a*n**2 - 3*n**2 wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 4*a + 2*a + (2*a + 2*a - 5*a)*(5 - 3 - 3) + a + 2*a - 4*a + (-3 + 3 + 1)*(a - 4*a + 2*a) + (3 - 5 + 6)*(-5*a + 0*a + a).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14992106338*j**3 - 7496053160*j**3 - 7496053180*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 4 + ((-8)\/20)\/((-4)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2574 - -2507.02. Let n = -66.838 + -0.162. Let g = f - n. Sort 1\/6, 7, g in decreasing order.\nAnswer: 7, 1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + 2*sqrt(175))*-6)**2*-3 + 3.\nAnswer: -76025 - 4320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*k = 120*k - 281077. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*l**2 + 2*l**2 + 11*l - 2 + 16*l**2 - 2*l**4 + 4*l**2 + l**3 - 12*l**2 to u + d*l**4 + t*l**3 + a*l + r*l**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 17.669?\nAnswer: -3.5338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-150 + 150 - 36*n**2)*(2 + 1 - 5 - 4*n) as s + k*n**2 + t*n + i*n**3 and give k.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*n - 292 + 4024 + 1781 = 0 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 6*u + 63090. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7.4. Let y = -3 + 3.2. Let k = y + s. What is the second biggest value in 0, 4, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/4 and -43\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 17\/46 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*t = 4004, -16*s = -18*s + t + 1601. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*r**2 + 1381*r**2 - 471*r**2 + 849*r**2 + 3202*r**2 + 2198*r**2.\nAnswer: 6428*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 202880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(0*m**4 - m**4 + 2*m**4) - 2*m**4 + 5*m**4 + 0*m**4 + (-4 - 13 + 1)*(5*m**4 + m**4 - 4*m**4) + (3*m**2 + 2*m**2 - 3*m**2)*(m**2 - 2*m + 2*m).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 3*x**2 - 4*x. Let o(y) = -y**2 + 7*y - 6. Let b be o(5). What is p(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-30)\/n)**36*(n**11)**(-7\/12) assuming n is positive.\nAnswer: n**(-13469\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**7\/840 + d**6\/60 + d**5\/20 - d**4\/8 + 176*d**3\/3 + 146. Let k(l) be the third derivative of o(l). Give k(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15*v**2 - 14*v + 124. Let u(i) = -45*i**2 + 44*i - 370. Give -19*q(n) - 6*u(n).\nAnswer: -15*n**2 + 2*n - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 5. Let c be v\/3 - (-100)\/6. Calculate the highest common factor of 176 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125579 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oata when four letters picked without replacement from {p: 7, a: 2, o: 7, t: 1}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471056 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 884963*t**6 + 24517*t**2 + t wrt t?\nAnswer: 106195560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*o + 51 - 39, 4*o - 15 = x. Calculate the remainder when 40 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 262*p + 78 = -261*p, 5*d = -2*p + 55 + 2 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2348)\/(-16) - 5\/40*-2 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.3, -2800182?\nAnswer: -2800182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(4 + 21\/(-6)). Let m(y) = -2*y**3 + 0*y + 2*y**2 + y - 2*y - 4 + 0*y**3. Calculate the remainder when m(i) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1341 - 54434?\nAnswer: -53053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*f + 4, 0 = -5*m - 4*f + 20. Suppose 2*p + 180 = 3*p - m*r, -4*r - 344 = -2*p. Suppose 4*t = 76 + p. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let l be a(25). What is the third derivative of l*m**6 + 6*m + 5*m - m**2 + 19*m**6 + 12*m**6 wrt m?\nAnswer: 6720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-103936)\/173260 + (-6)\/(-10). Let k = b + 528431\/103956. Calculate the common denominator of 67\/4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 9*k - 8. Let d be z(8). Suppose d = -3*f + 3 + 3. Let v be f\/(-2)*1 + 4. Solve 2*g = v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 3*q - 15. Let y be v(3). Differentiate -9*l**4 - 5439*l**y + 5439*l**3 + 12 with respect to l.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 202? (a) 4 (b) 21 (c) 1\/12 (d) 1 (e) -0.0261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = 0. Suppose -2*o + 2*g - 186 = 0, 0 = -3*g + 21 - 6. Let b = 92 + o. Solve w = -b - x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-150)\/(-170) + (3 + -1 - 7)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33.4 + 33. Which is the biggest value? (a) -5\/2 (b) 0.03 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13200*i - 43295 = -11963*i for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 - 8*x. What is l(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/33 - (-1)\/(-3). Let t = v + -41\/33. Let n = -0.2814583 + 0.5814583. What is the nearest to n in t, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 40*g - 35*g = -1088. Solve -32*l = -g*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) + -1)*-5)**2*1 + -4)*-5.\nAnswer: -54105 + 3000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115419*n - 113674*n + 227358*n.\nAnswer: -1735*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9))**(1\/3)*(c*c**3)**(2\/7) assuming c is positive.\nAnswer: c**(202\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/6)\/(1 - 0). Suppose 21 = 3*r + 3*y, -s*y = 3*r - 4*r + 1. Suppose r = 3*j + 2*j. Which is the third biggest value? (a) -5\/4 (b) j (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -7. Suppose -i*j + 16 = -17. What is the least common multiple of j and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*l + 4*n - 1, -4*n - 4 = -2*l. Let g(o) = 4 - o**2 + 2*o**3 - 4 + 1. Is g(l) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2423037\nAnswer: -5\/2423037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhkb when four letters picked without replacement from {b: 5, v: 1, k: 5, h: 1}.\nAnswer: 5\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 46, -2\/21 in increasing order.\nAnswer: -1\/2, -2\/21, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2027 is divided by 253.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*f + 5 = -5, -2*q = -3*f - 23. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 18, -85, -326, -753?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 112 = -3*m, 14*m = 2*z + 9*m - 20. Solve -3*f + 17 = -2*q, -4*q = -9*q - z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. List the prime factors of 29 + 2 + (2 - b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (2 + 0) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 - 14 = 6*q. Which is the smallest value? (a) 0 (b) q (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114568563 is divided by 395?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 1, p: 1, h: 3, q: 1}. What is prob of sequence ppa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/7 - 16998*x**3\/7 - 2076222*x**2 - 463010870*x + 2853334092 = 0. What is x?\nAnswer: -7567, -469, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 17*u**2 - 3*u - 2. Is n(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(5\/4))**13*j**15*j**2 assuming j is positive.\nAnswer: j**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**2 + t + 2. Let x be d(2). What is the highest common factor of x and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = -3. What are the prime factors of (1\/y)\/(4\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095334309 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*r + 6*r. Let i = r + -8. Suppose -4*s - 4*u - 4 = -52, 0 = -i*s + 5*u + 20. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 241*b - 250*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -102221?\nAnswer: -102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -4*h - 15*b, 16*h + 2233*b - 2 = 11*h + 2231*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 19. Let p be g\/9 - 13\/18. Let r = 187\/126 + p. What is the common denominator of r and 29\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 131*x + 3807. Let i(c) = -35*c - 1269. Let a(y) = 8*i(y) + 3*o(y). What is the first derivative of a(h) wrt h?\nAnswer: 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69 or 135\/2?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134632311.\nAnswer: 3, 11, 4079767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8762529.98 less than 0.2?\nAnswer: 8762530.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 + c**4 - 4*c**4)*(1420 - 65*c - 1420)*(-4 + 1 + 1).\nAnswer: 130*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30a280b + -5?\nAnswer: -30a2810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 2*z)*(3*z**2 + z**3 - 3*z**2) + (4 - z**3 - 4)*(85*z + 295*z - 67*z).\nAnswer: -311*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - 2 - -6*(-1)\/(-2). Suppose -2*o = t - 27. What is the hundreds digit of (-1872)\/(-14) - o\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -7*f**6\/2 + f**5\/12 + 5*f**3\/3 - 1172*f**2. Find the third derivative of v(s) wrt s.\nAnswer: -2520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 9*o + 3*o)*(-o**2 + 3*o**2 - 5*o**2)*(-4*o - o + 4*o).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19305)\/2145*51\/(-162)*2.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v + 159. Let j be r(12). Let -6 - 15\/4*l**3 + j*l + 9\/2*l**2 + 3\/4*l**4 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15591304 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*t + 12, -s - t + 17 = 3*s. Let m(j) = j**3 + 8*j**2 + 7*j - 1. Let w be m(-7). Let d = s + w. Solve -k + r - d = -0*r, 3*r = -5*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959496 - 13*y + 959496.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/10*554\/228. Let f = k + -43\/57. Find the common denominator of f and ((-55)\/(-20) - 3)*43.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*n**4 - 3 + 11*n**4 - 5 wrt n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 41, 8, -60 in descending order.\nAnswer: 41, 8, -24, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 - -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 6 = 9*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 28*v - 702. Calculate d(24).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4 + 136*k**3 + 228*k**2 - 880*k + 512 = 0?\nAnswer: -32, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1100563?\nAnswer: -1100565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 206 - -94. Let h be 30\/((-52)\/(-8) - 6). What is the greatest common factor of h and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/7 + 1612*b**2\/7 + 336432*b\/7.\nAnswer: -2*b*(b - 978)*(b + 172)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4b (base 15) to base 9\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 2*c - 3*c. Let f(s) be the first derivative of -s**2\/2 + 26. Calculate -5*f(y) + 2*i(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (6*(sqrt(2744) + sqrt(2744)*2))\/(sqrt(24)\/(sqrt(3)*-2*4)))**2.\nAnswer: 4032*sqrt(7) + 7112452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443000 divided by -7215?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -3, 48147177 in descending order.\nAnswer: 48147177, 0.4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 7*y - 3*y)*(4*y - y - 2*y) + y**2 + 3 - 3 - y**2 + 2*y**2 + y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from dddddwdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 262*k - 2907. What is q(-106)?\nAnswer: 2393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3400*f + 95316. What is k(-28)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -44*d**3 - d**2 - 2*d - 1. Let j be x(-1). Suppose -5*n + n = -j. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/12 - 9\/(-4). Suppose n = 3*u + 21, 3*u - 5 = -5*n - d*u. Find the second derivative of -4*h + n*h + 3*h**5 + 2*h**5 wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**7\/105 - c**6\/48 - c**5\/120 - 5*c**2. Factor g(z).\nAnswer: -z**2*(z + 1)*(4*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)\/(sqrt(48)\/sqrt(4)))\/(sqrt(40)\/sqrt(5)*5).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8300 divided by 2\nAnswer: 4150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -279, -299, -321, -345, -371, -399, -429?\n\"Answer: -s**2 - 17*s - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2058 and 183750.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58338*x + 58344*x + 96 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 6*z - 5. Let d = 3 - -1. Let l be g(d). Suppose 12 = 3*f + l*o - 5*o, -5*f - 3*o + 39 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.1662 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let h be (3\/18)\/(2\/(-3)). Let r = -3 + -3. Let s = -2 - r. Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4470 - -6859. Suppose 5*q + b + 485 = 6*q, -g = -5*q - 4*b. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172*j - 643*j + 21228 = -1083*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let i(r) = 106*r**2 + 25507*r. Determine m(i(y)).\nAnswer: 106*y**2 + 25507*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -891 + 27193*c + 22162*c + 891 - 17529*c as q + j*c and give j.\nAnswer: 31826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 10 + 5 - 2 + 3 + 1 + (-2 - 1 + 4)*(-1 - 1 + 0) + 3 + 1 - 3 + 1 + 1 + 0 + 1 + 5 - 2)*(-2*t + 2*t + 4*t).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158893*u + 10*u**3 - 317726*u + 158833*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-5 + 3*sqrt(605)) - (sqrt(30)\/(sqrt(12)\/sqrt(2)) - 2*sqrt(5)*5)*-5)*-2)**2.\nAnswer: -42000*sqrt(5) + 884500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342 a factor of 308368534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248 and 12.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -36*r**3 + 3*r**2 + r + 16. Is n(-3) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1447?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 422 + -1 + (-24 - -16). Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4977, -4957, -4937, -4917, -4897?\n\"Answer: 20*p - 4997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 11*j + 11. Let b be k(10). Let h be (b\/(-2))\/((-5)\/20). Let i be ((h + 2)\/(-2))\/2. What is the closest to i in 0.2, 5, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 760 and 773 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 - 2. Suppose 0 = 4*r - 14 + 6. Is g(r) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4028*r**4 + 6266*r.\nAnswer: 48336*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**16)**28\/(p**6*((p\/(p\/(p**(2\/29)\/p*p)))\/p)\/p) assuming p is positive.\nAnswer: p**(12874\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -302 - -313. Is n\/22*(19 + 1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:48 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407785 nanograms in micrograms?\nAnswer: 0.000407785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*-2 + 2)*-2)**2 + -1.\nAnswer: -256*sqrt(17) + 17423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ididdidddidddddiddd?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*f + 6 + 6, f + 7 = 4*t. Suppose 7*q - 195 = t*q. What is the remainder when 155 is divided by q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1126, 4857, 11098, 19849, 31110, 44881, 61162?\nAnswer: 79953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -787.9443111 minus -151.66?\nAnswer: -636.2843111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281706?\nAnswer: 2, 3, 29, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -194392000 rounded to the nearest one million?\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.5 (b) 105 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**2\/2 + 14. Let g(y) = 30*y. Calculate f(g(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -2)\/(14\/1). Let p = -272 + 282. Let t be 20\/(-36) - (-6)\/p. Which is bigger: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5868 - -5867.0324. Round o to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -218923 + 218069.517. Let y = -854 - f. Round y to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25112.\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139071 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -47, -34, -7, 40, 113?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/(-22) + 2 + 150\/(-22). Let c(u) = -u + 10. Let d be c(10). Put d, 5, a in increasing order.\nAnswer: a, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9 - (-1035)\/(-117)) + 35865\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let z be a(1). Suppose -3*v + 1 = -8. Let h be 1 + 0 - 0\/v. Which is smaller: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + sqrt(833) + 4 + (sqrt(68) - sqrt(68)*3)\/sqrt(4))**2 - (sqrt(204)\/sqrt(12)*3 + sqrt(119)\/(sqrt(63)\/sqrt(9))).\nAnswer: 92*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326 - 325.4. Let y = x - 0.81. Which is bigger: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 98868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 12:18 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 take away -0.02724?\nAnswer: -32.97276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -4663*r**4\/12 + 1719*r**3\/2 - r**2 + 1237*r. Differentiate g(k) wrt k.\nAnswer: -9326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*h**2 + 214*h**2 + 2*h - 328*h**2 - 2*h.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -59ea8 (base 15) in base 9?\nAnswer: -476375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17710463 is divided by 17710457.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7196 by -564.\nAnswer: -1799\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 32, -11\/3, -3.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3441 + -161731\/47. Which is the nearest to v? (a) 0 (b) 0.12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y. Let o be (2\/(-6))\/((-4)\/48). Let f be (-60)\/(-50)*460\/6. Suppose -2*n - 5*i = -5*n + 52, i = o*n - f. Let u(t) = -9*t. What is n*p(c) + 5*u(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 23*f - 23*f.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*s - 2042, 4*s + 6*g = 9*g + 2054. Suppose -2 = 2*l, -174 = -w - 0*w - l. Let b = s - w. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145500528 divided by 36375132.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -504.334 + 504. Let l = 0.396 - 0.43. Let z = l - f. Sort -1\/6, z, 1.\nAnswer: -1\/6, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjjj when four letters picked without replacement from jbjjbbbbjjbjbbjbjbjj.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.93 - 1.97. Round y to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 21*j. Let l(k) = 11*k + 2. Give c(l(n)).\nAnswer: 231*n + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -27*x + 23*x + 4, -5*x = 5. Solve -15 = -4*o + d, 40 = i*o + d + 3*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s + 28 = 19*s. Let o be -1 - (7\/(s\/(-8)) - 7). Solve o*g = 3*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(95) - -4*sqrt(95)*1)\/(sqrt(5) + (sqrt(180) - (sqrt(180)*3 - sqrt(180))))*4.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20211210002 (base 3) to base 7\nAnswer: -1100504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(75) + sqrt(75))**2 + 5 + (-1 + sqrt(75) + 4 - -3*(0 + sqrt(75) - sqrt(75)))**2 + 5 + 2.\nAnswer: -10*sqrt(3) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 10 = 0, -4*k + 2*r = 8 + 4. What is the units digit of -4*(k + (-1)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*j + 0*j**2 + 3*j**2 - 6*j**2 + 17*j + 31*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 - 16*w - 33. What is the remainder when a(7) is divided by 2*(69\/6 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -641031?\nAnswer: -641031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -795112 + 795116. Suppose 1\/3*i**l + 4\/3 + i**3 - i - 5\/3*i**2 = 0. What is i?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1604*b**3*q**3*s**3 - 2*b**3*q**3*s**2 + 2*b**3*s**3 - 36*b**2*s**2 - b*q**3*s**2 wrt s?\nAnswer: 9624*b**3*q**3 + 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + 161. Sort 2, i, 0 in ascending order.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.5 - 16.9. Let k be (-1)\/(-4) + 1\/(-4). Which is the third biggest value? (a) x (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 164 + 164 + (-3 + 1 + 0)*(z - 1 + 1).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 925, 0.04, 38, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (0 + -9 - -1). Let h(k) = -38*k - 1. Let d(x) = -39*x - 2. Let n(p) = -5*d(p) + 6*h(p). Is n(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2675 + -2674. Let x(u) = u. Let n(s) = -4. What is p*n(c) + 2*x(c)?\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 0 + 40. Let y be (-1)\/(-1)*m\/(-8). Solve -y*g + 1\/2*g**3 - 1 + g**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 + 6*i + 1. Let l be -2 + -1 + (-2)\/2. Let j be h(l). Suppose -5*y + j = -4*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5 = -5*l, 2*v + 5*l - 6*l - 5 = 0. Suppose -v*j = -c - 122, -3*j - 2*c + 5*c = -66. Solve 0 = -2*m - 5*o + j, -15 = -m - 3*o - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -276084\nAnswer: -276087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-35) - (-22)\/126. Let c be (39\/9)\/((-3)\/33). Let v = 47 + c. Sort v, 2\/7, a in descending order.\nAnswer: 2\/7, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -30. Let y(i) = -17*i**3 - i. Let h(p) = -p**2 - 5*p - 5. Let t be h(-4). Calculate the lowest common multiple of v and y(t).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4124, 8250, 12376, 16502, 20628?\n\"Answer: 4126*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 2 + (2 - 12 + 0)*(-4 + 3 + 2))*(2*j**2 + 5 - 5) in the form m + l*j**2 + i*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 = -11. Which is greater: g or 16\/3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*l**2*w**2 + 6016*d*l**2*w - d*w - l**2*w**3 + 2254*l*w**2 + 8*w**3 wrt l.\nAnswer: -2*d*w**2 + 12032*d*w - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**10\/f*f)**(11\/2)\/(f**(-5\/8)\/f*f\/f**27))**(4\/9) assuming f is positive.\nAnswer: f**(661\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l - 2. Let j(o) = -34*o + 8. Let c(r) = 51*r - 12. Let z(m) = -5*c(m) - 7*j(m). Determine 13*y(v) + 6*z(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) -0.6 (c) 3\/205 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -14*j + 2911. Let w(p) = -2*p + 426. Let u(n) = -6*d(n) + 41*w(n). Let y(s) = -99*s - 2. Give y(u(i)).\nAnswer: -198*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 66*s + 135. Determine y(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5892, -5, -1, -2\/13, 5\/209?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-10) - ((-130)\/25 + 5). Suppose -12*q + 10*q + 396 = r. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3189 - -3190. Let r = -5\/4 + 1\/2. What is the second biggest value in p, r, 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -12*v + 22 + 3 + v**2 + 9 - 3*v**2. Let a be p(-8). Solve 4*b = -m + 2, -a*b - 2*m + 4 = -0*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -154 - 461669?\nAnswer: -461823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4574 (c) 0.6218 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n + 72. Suppose -4*p + 11 - 3 = 0. What is the remainder when 29 is divided by -33*p*4\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12344\/20869 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1942400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojjjjojijjjjj. What is prob of picking 1 i and 2 o?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -145*u**3 + 3*u**2 - 10*u + 49. Let i(f) = f**2 - 2*f. Let q(y) = -5*i(y) + j(y). Find the first derivative of q(b) wrt b.\nAnswer: -435*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -141529 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-20) + (-15)\/25. Let h(x) be the third derivative of 0*x**3 + 0 + 1\/60*x**5 + m*x**4 + 0*x - 5*x**2. Let v(s) = -7*s**2. Determine h(v(a)).\nAnswer: 49*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*l = -113*l - 23*l + 12244866. What are the prime factors of l?\nAnswer: 3, 19073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 2:42 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103310 (base 5) to base 12.\nAnswer: 20a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86458936 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*w + 23. Suppose 3*o - w = a - 4, 4*a = 3*o - 14. Suppose -z + 2 = -o. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + t - 78, -3*w - 4*t = -t - 42. Solve 5*f = 1 - w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.054 - 0.054. Let h = -25 + q. Let v = 15 - 19. What is the third smallest value in v, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16418 = 4*c - 3382, -5*l = 0. Does 29 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*h + 73*h - 2370 = 0. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*i - 33, -1 = -5*n - 3*i + 18. Suppose 5*j - 30 = n*t, 0*j = j - 3*t + 2. What is the units digit of 6\/(-4)*j\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -14*p - 28. Let d be b(6). List the prime factors of (-2936)\/(-10) + (d\/20)\/(-14).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37100255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 70236?\nAnswer: 3511800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381 (base 9) to base 12.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 39*p + 6. Let a be g(19). Is (-3)\/(-2)*(a - (-323725)\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 2*c - 13, -5*c - 1 = -6*h + 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 - 9969*h**2\/5 + 549036*h.\nAnswer: 3*h*(h - 3020)*(h - 303)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184285 rounded to the nearest ten thousand?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/1242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 62\/5 (c) -4\/7 (d) -1\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 - 2)*(3*r**2 - r**2 + 0*r**2)*(-r + 0*r - r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 4*r**2 + r - 3. Let z be i(3). Suppose 0 = -2*x - z - 9. Let o(s) = -13*s - 1. Let a(f) = -5*f + f + f. What is x*a(y) + 2*o(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36886 (b) -2\/69 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115476 is divided by 5470.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 321040*i + 3531423. Calculate b(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 33*t = -29*t + 24, 5*s + 30 = -15*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-40)*(-36)\/63?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/81 or 0?\nAnswer: -49\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2436842 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**27\/p*p\/(p**(-39)*p*p))\/(p**(-28)*p*p**(-17)*p*p) assuming p is positive.\nAnswer: p**107","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i = 18*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1804999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 6 = n, 3*n - 7 - 5 = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*z**2 + 11*z**2 + 44*z**2 - 137*z**2 + 42*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2235 - -23.6765. What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -183*f**2\/2 - 48*f - 25. What is the hundreds digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -675*n**2 + 250460*n + 1255840.\nAnswer: -5*(n - 376)*(135*n + 668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*s - 50 = 245 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c8 - -168?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jywyjjyj. Give prob of picking 1 j and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13129930 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/4 + 2*c**2 - c + 3. Let q be s(0). Let w = -1 - -2. Solve -f - w - q = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 167, 195, 207, 215, 231, 267, 335, 447?\n\"Answer: 2*u**3 - 20*u**2 + 74*u + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u - 2. Let i(d) = -7*d + 2. Let b(l) = -l**3 + 78*l**2 - 152*l + 4. Let q be b(76). Calculate q*x(k) + 3*i(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 5 - (40 - 22)) + -13?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 26, 0, 309834?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/120 - 7*r**4\/12 - 95*r**2. Let o(v) be the second derivative of t(v). Let p(n) = -6*n. Calculate p(o(s)).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -933 - -1660. Let y = -250 + r. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/18)\/(2\/498). Let p = -1413\/17 - l. Is 34 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -38. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**4 + 2511*d**3 - 1509138*d**2 + 6006324*d - 5996232 = 0?\nAnswer: -1243, 2, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(28) + -5*sqrt(112)\/sqrt(4))**2 + -3)*-5*2*-4 + -1.\nAnswer: 17798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -24. Suppose -2*k = -5*n - 30, i*n - 7 = -2*k + 41. What is the least common multiple of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 6)*(4*h**3 - 4*h**3 + 2*h**3) - 2*h**2 + 2 - 417*h**3 + 415*h**3 + 4*h**2.\nAnswer: 6*h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -349184 - -1.\nAnswer: -349183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/563793595 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 2*n**3 + 214*n**2 - 222*n**2 + (n**2 + 0 + 0)*(-n - 2*n + n) + n**2 - 2*n**3 - n**2 + 4*n**3 - 3*n**3 - 2*n**3.\nAnswer: -8*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - l + 0*l)*(44*l - 82*l + 223*l).\nAnswer: -740*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 13 + 121 = 0. Suppose -5*v + 2*p = -5, -5*p = 5*v - h + 39. Is 1\/52 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*p + 6*p**2 + 7*p**2 - 9*p**2 + 8*p**2.\nAnswer: 12*p**2 + 276*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 14, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/(-15) + (4146\/(-1155) - -2) and 23\/35.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274670.\nAnswer: 2, 3, 5, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7232 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(4\/15)\/k))\/(k**(-10)\/k)*(k**(-1\/3))**(-9\/10))**(-43) assuming k is positive.\nAnswer: k**(-15523\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 43*n + 255. Let l be x(-23). Which is smaller: l or -614\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 2. Is 10 a factor of b(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 112*l**2 - 67*l - 3. Is m(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(5*(3*sqrt(21)\/sqrt(3) - (-3 + (sqrt(7) - sqrt(7)*1 - sqrt(7)))))**2.\nAnswer: 15000*sqrt(7) + 75625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 234. Suppose 0 = 4*l - 4, 5*u + 2*l = -0 + 2. Suppose -k + 16 - 3 = u. What is the highest common factor of k and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = -3. Let u be (l - -4)*6\/(-4). Let w(b) = b**2 + 7*b + 2. Give w(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -385 + 388. What is the closest to 4 in 1, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002102121 (base 3) to base 8.\nAnswer: 166624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**3 + 29*w**2 + 33*w + 11. Let s(o) = -20*o**3 - 205*o**2 - 230*o - 75. Let n(t) = 15*p(t) + 2*s(t). Determine a, given that n(a) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**2 - 17*l**2 + 29*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 3 (c) -1\/4 (d) 1\/39 (e) -5 (f) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/2*(-24)\/(-30). Solve n + 4*a = z*n, -n - 9 = 5*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 2:52 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -59526\nAnswer: 59522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 5*v**3\/6 - 8*v. Let b be p(1). What is the derivative of b*x**3 + 15 + 0*x**3 - 1 wrt x?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {q: 3, u: 3, m: 4, e: 3, d: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1155 and 680097?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w - w - 3*w. Let g(q) = 3*q**2 - 9*q - 9. Let n(d) = d**2 - 2*d - 2. Let h(y) = -2*g(y) + 9*n(y). Give h(p(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.21 - 3.21. Let q = g + 2.6. What is the biggest value in q, -0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34247 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46838224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -88, -163, -264, -385, -520, -663, -808?\n\"Answer: y**3 - 22*y**2 + 16*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2de1 - -1c1?\nAnswer: -2c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 5)*(-5*m**4 - m**4 - 3*m**4) as x + u*m**3 + r*m**2 + a*m + w*m**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2891251 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 51, 1, -4 in decreasing order.\nAnswer: 51, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3894.\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 671 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1686 + -1684. Let z = 22.5 + -23. What is the fourth smallest value in -1, n, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -1 - 12*(-36 + 7000\/196).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 559 + 3?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -282 - -309.49. Let l = -30.5 + m. Let s = l - -0.01. Is s equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -159.16?\nAnswer: -15.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4)*p*p*p)\/p)**(-12\/7)\/(p\/p**(-1\/3)*p**(1\/6)*p) assuming p is positive.\nAnswer: p**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*40845\/227565.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48149 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 60. Calculate the smallest common multiple of 10 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1373.2 and -0.3.\nAnswer: 1372.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0141811 to 4 dps.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 8 + -23 + 15 + -1 - -70?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/60 - 2*q**3\/3 + 2*q. Let z(o) be the second derivative of l(o). Let b(h) = 4*h**2. Calculate b(z(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -604, -602, -600?\n\"Answer: 2*k - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 - 10*s + 5. Let b(l) = -5*l**2 + 6*l - 3. Let g(r) = -5*b(r) - 3*x(r). Let z(v) = -6*v**2 + 5*v. What is z(g(u))?\nAnswer: -6*u**4 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(17) - sqrt(17)) + -4 + sqrt(17))*6.\nAnswer: -12 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47835 and 33.\nAnswer: 526185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8112 - -8115. Let u = 56.19 - 0.19. Let h = -31 + u. Which is the closest to -1? (a) -3 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 977*k - 6847. Determine o(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-636997043 - 9371*t + 636997043)*(-3*t + 3*t + 2*t**2) to y*t + c + k*t**2 + z*t**3 and give z.\nAnswer: -18742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7060 and 12002?\nAnswer: 120020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 2)*(4 - 1 - 2) - 6 + 2 + 2)*(16*s**3 + 66*s**2 - 66*s**2) as k*s**3 + q*s + j*s**2 + m and give k.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 7) to base 3.\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 8*q + 5*l - 345, -l = -3. Suppose -t = -3*s + 7, -t + 100 - 75 = s. Calculate the remainder when q is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-7 + 9)) + (-6 - (-5 + 8))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 329 and 229877.\nAnswer: 1609139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6))**40*(w**(-3\/11)*w)\/(w**14\/w) assuming w is positive.\nAnswer: w**(-2775\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0.1, 0.4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 378.4 - 312.76. Let u = -66 + n. Let q = 0.288 - u. Round q to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 3*m**2 + 11*m. Let f(j) = -j**2 + 5*j. Let n(v) = 12*v**3 + 2*v - 1. Let t be n(1). Let g = t - 18. Calculate g*f(z) + 2*x(z).\nAnswer: -2*z**3 - z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3524\/37 less than 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 18*p + 85 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8608 - -0.0328. Round h to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20777 or 20781?\nAnswer: 20781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*b - 1592, 4*b - 950 = -3*o - 0*o. Let c = 596 - o. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 428625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 428*i - 21. Let v(k) = -k**2 - 214*k + 11. Calculate -5*v(l) - 3*y(l).\nAnswer: -l**2 - 214*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 10, i: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 10*q**2 + 11*q - 16. Give j(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 (base 8) in base 4?\nAnswer: 12033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-46 + 0)\/((-30)\/225)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 + 475 - 1450 + 508 + 467.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(2*(sqrt(108) - 1*sqrt(108)*-4)*4*-4 + 0)**2.\nAnswer: -33177600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*o - 87, 0 = -4*o + 5 + 11. Let t = -48 + s. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681271973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1416437 (base 8) to base 12\nAnswer: -173a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 50 = p. Find the third derivative of -17*r**2 + 16*r**3 + p*r**2 + 2*r**2 - 18*r**2 wrt r.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1376 + -1372. Solve t*v - 29 = 5*q - 5, 7 = -q + 3*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1467.59445 minutes to weeks.\nAnswer: 0.1455946875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 56. Suppose 22 = b*l + 2*p, 0 = -2*l - 2*p + 3 + 7. Factor l*v**2 + 0*v - 4*v - 3*v + 3*v.\nAnswer: 4*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 13 - 6 - 16 - (0 + -21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 4. Suppose d = n*d - 6. Suppose 2*m + 3*m - 40 = -3*s, 2*s = 0. Calculate the remainder when m is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -5. Let u = -18.03 - -16.03. Which is the closest to 8? (a) u (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**7\/245 - 3*u**6\/28 - 48*u**5\/35 - 20*u**4\/7 - 3364*u**2. Let f(g) = 0. Calculate g.\nAnswer: -4, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1086*i**3 - 739*i**3 - 41*i**3 - 4425*i**2 + 2560*i**2 wrt i?\nAnswer: -11196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*g + 15*g + 12*g - 116*g to p + f*g and give f.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 20*s + 90 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88\/35, 5, -4, -0.3, -5 in decreasing order.\nAnswer: 5, 88\/35, -0.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*u = -44*u - 1868 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*b + 1510*b + 82555 + 85151 = 0 for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -733.376162741.\nAnswer: -733.776162741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 6:21 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.73 and 2.4.\nAnswer: -1.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**3 - 50*j**2 + 9*j + 15. Let i(v) = -17*v**3 + 92*v**2 - 17*v - 30. Determine 6*i(d) + 11*z(d).\nAnswer: 8*d**3 + 2*d**2 - 3*d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44208509.\nAnswer: 211, 209519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -692514.\nAnswer: 2\/346257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/7 - 529360*m**2\/7 + 151244*m - 529352\/7.\nAnswer: 4*(m - 132338)*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2055)\/(-11) - (-2)\/11. Suppose -3*u + 4*u = -m. Let j be 22\/u - (-344)\/34. Calculate the highest common factor of j and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 52 and 51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + u**2 - u - 2. Let q(v) = -3*v**3 + v**2 - 2*v - 3. Let j(m) = m**2 - 4*m - 27. Let i be j(-4). Let a(x) = i*k(x) - 3*q(x). What is a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4332814*z**5 + z**4 - 2*z**3 + 455730354*z**2.\nAnswer: 259968840*z**2 + 24*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63468 (base 11) to base 12.\nAnswer: -45579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3885351608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/3*(2 + -8). Let n(l) = -3 + i*l - 5*l - 5*l. Calculate n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 17*x - 9. Let d(u) be the second derivative of 18*u - 1\/6*u**4 - 2*u**2 + 0 + 4\/3*u**3. Determine 9*d(t) - 4*p(t).\nAnswer: -2*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**5 + 25865*w**4 - 33719840*w**3 + 696756480*w**2 = 0.\nAnswer: 0, 21, 2576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) + 9\/((-648)\/(-52)). What is the third smallest value in 3, 1\/5, 2\/17, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + -12230?\nAnswer: -12143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374153 + -373898.7885. Let m = w + -254. Round m to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l = 0. Suppose -80*z + 2*u + 3 = -83*z, u + 2 = -z. Solve l*c = -c + z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(z**4 - 4*z**4 + 2*z**4) + 65 - 65 - 28*z**4.\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8560.00101416 + -8560. What is k rounded to 5 dps?\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2576 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1570 by -3.\nAnswer: 1570\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338440 is divided by 2686.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0 - 1\/6*n**3 - 2*n - 2*n**2. Differentiate g(q) wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -305, 5, -2, 13 in ascending order.\nAnswer: -305, -3, -2, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(10)*-4)\/((sqrt(4) - -3*(sqrt(4) - sqrt(196)))\/sqrt(2)).\nAnswer: 24*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 650 - 11701\/18. Find the common denominator of o and 101\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.2. Let k = 0 - -2.1. Let j = k - a. What is the biggest value in j, 0, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ca - 5?\nAnswer: -1d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 34\/(-12))*(2813934\/(-90763) + 31).\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 3*i + 4. Let j be l(3). Suppose -2*b + j + 2 = 0. List the prime factors of b\/(-15) + (-123)\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 - 2*q**4 - 6*q**3 + 17*q + 1 + q**2 + 2*q**3 to u*q**2 + m*q + j + v*q**3 + d*q**4 and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 2*a - 27 + 40 - 13.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-4*sqrt(77)*2*-5)\/(sqrt(1100) - (sqrt(1100) - (sqrt(1100) + sqrt(1100)*-1 + sqrt(1100)))*6 - sqrt(1100) - (sqrt(1100)*-2*-1 - sqrt(1100))))**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7195244 by -2.\nAnswer: 3597622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3439.\nAnswer: 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/d)**(-3\/7) assuming d is positive.\nAnswer: d**(9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 16. Let x be n(-8). Suppose x = -18*g + 13*g + 16300. Let z = g - 1611. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11155155 to the power of 1\/2, to the nearest integer?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*g - 76 = 0, 4*p - 21 = -3*g + 95. Suppose -5*r + 9*b - 10*b = 20, p = -4*r - 4*b. Let f(k) = -k**2 - 2*k + 6. What is f(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 22674258?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 25*r**2 + 63. Let u(v) = 12*v**2 + 28. Let k(j) = 4*p(j) - 9*u(j). Let t(n) = -2*n**2 + 9. Give k(t(b)).\nAnswer: -32*b**4 + 288*b**2 - 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 10:49 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(3) - sqrt(192)))\/((sqrt(9) - sqrt(81))*4)*5.\nAnswer: 5*sqrt(7)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13276 is divided by 6636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 936128346 to the power of 1\/2, to the nearest integer?\nAnswer: 30596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30125 and 2325?\nAnswer: 2801625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -3 + -6 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2131 (base 4) to base 5.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 55*d + 750 = 0 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 17, 5, 30, -1, -33 in increasing order.\nAnswer: -33, -1, 5, 17, 30, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 at most 1718\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (234\/195)\/(9\/(-60)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y**2 - 61*y + 30. Calculate j(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = 2*i. Suppose i*a + 5 + 15 = 0. Let s(f) = -f**2 - 4*f - 3. Calculate s(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843096830?\nAnswer: 2, 5, 84309683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 2, j: 7, y: 1, t: 2, b: 6}. What is prob of sequence nj?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1019 and 0?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 10*c - 20. Let m be k(10). Let l be 68596\/(-14) - m\/(-70). What is l rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4861354585 to the nearest integer?\nAnswer: 69723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2512, -5066, -7618, -10168, -12716, -15262, -17806?\nAnswer: -20348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(3\/(-4)). Suppose 3*w = 123 - 111. Sort 0.3, w, c.\nAnswer: 0.3, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 2*u - 2. What is i(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1572599 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15177?\nAnswer: 3, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2. Let w(o) = 11*o - 4. Determine i(a) + w(a).\nAnswer: 11*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + u = 2, -5*i = -0*i - 4*u - 1. Let a be 2 - (2 - (i + 5)). Solve -2*d - a = 4*v - 5*v, -4*v + 8 = -4*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/2 - 62001*v**3\/2 + 2808624*v**2 = 0.\nAnswer: 0, 91, 20576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - i + 18, 2*i + 20 = -12*w + 16*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 2.31?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/5 + (4 - 102\/30). Suppose 3*t - 12 = 5*r, -s*t - t = 3*r - 45. Let b(i) = -i**2 + 7*i - 3. Let y be b(6). Sort -2, y, t in decreasing order.\nAnswer: t, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/349895 and 55\/48845342.\nAnswer: 244226710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 86*i**3 + 36*i - 3 + 88*i**3 - 2*i**2 - 35*i + 3*i**4 to the form x*i**3 + m + n*i + w*i**4 + c*i**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 + 182 = -38*l + 7*l + 1608 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37081358 to the nearest integer?\nAnswer: 6089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 9*m - 5. Let k be l(8). Let t = -5 + 5.4. Sort t, 3\/5, k in decreasing order.\nAnswer: k, 3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 7*l**2 - 2*l + 5. Let d be y(5). Let j = -96 - -101. Calculate the highest common divisor of j and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*(-4 - 0). Let v = 410 + -412. Sort 1, d, v, 5.\nAnswer: v, 1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(15\/150*20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1600 and 28000?\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4661177 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/46, 1\/4, 0.3, -0.333 in ascending order.\nAnswer: -0.333, -1\/46, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1166604.66 to the nearest 1000.\nAnswer: -1167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-402201963)\/36 - 1\/4. Let m = -4802277 - k. Suppose -4*c = 3*c - m. What is c rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d**2 + 18*d + 17. Let i(a) = -2*a**2 - 16 + 10*a**2 + 61*a - 77*a. Let h(f) = 5*i(f) + 4*w(f). Find p such that h(p) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2210479 + -2210479.03900036. Let p = -0.039 - h. What is p rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/60 + (-11)\/(-3). Suppose -15 = -3*a, 5*a + 1412 = x*h - 1470. What are the prime factors of h?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 881. Let z(s) = -s + 152. Determine o(z(x)).\nAnswer: -x + 1033","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -29. Suppose 76*x - 30 = m*x. Solve 0 = -12*d + x*d - 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.37 + 13.63. Let d = -11.4 + l. What is d rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -43 - (-41 + 9) - (-30 - (-4 - -4))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37218591, 148874349, 334967279, 595497381?\nAnswer: 930464655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -591 = -591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - n)*(-9 - 6 + 16)*(6*n + 6*n - 6*n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5356 less than 339?\nAnswer: 333.4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -823 (base 15) to base 5.\nAnswer: -24313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4 (b) 2 (c) -3\/5 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvwvvvvvv. Give prob of sequence vwv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6335 = -5*s - 5*m, 5*s + 0*m + 3*m + 6325 = 0. Let w = -88853\/14 + 53544\/7. Let n = s + w. Find the common denominator of 71\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4899 - 2693. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 18491211.\nAnswer: 7396484.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = -17*l + 180. Does 21 divide l*(6 + (-12)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onnx when four letters picked without replacement from xjbxxoixiixxxnbin?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/285429911 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:03 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3630, -7266, -10902?\nAnswer: -14538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215 and 2486045?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28374 = -49*p - 28962 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 2*s - 2. Let y(f) = 3*f**2 + 15*f - 2. Let n be y(-5). Give u(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94629 + 1\nAnswer: -94628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**2 - 117*c - 193. Let m(o) = 57*o. Give n(m(a)).\nAnswer: 42237*a**2 - 6669*a - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 60, -45, 4.\nAnswer: -45, -2, 3, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*x + 10 = 0, 0*q - 2*x + 5 = -q. Let s = -2626 + 97154\/37. Let u = -34\/185 + s. What is the nearest to u in q, 2\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 10*f**2 + 16*f - 7. Calculate the remainder when i(11) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1488744451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6047119 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 minus 18?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 1 + 1 - 4*r + 3*r - r + 2*r + 3*r - 3*r + r - 2*r + 0*r - r - r + r - 2*r + 3 - 3 + (1 + 1 - 3)*(2*r - 3*r + 3*r) + 59 - 10*r - 59.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3 - 3*s**2 - 1 - s**3 + 0*s**2 + 4*s. Is o(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/135 and 77\/45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -141.7 and -129.39078.\nAnswer: -271.09078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1 + 17 + 2 - 8. Let a = 5640 - 5629. Determine r(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by 5?\nAnswer: -97\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 43*g + 10. What is the tens digit of b(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3862022 hours?\nAnswer: 1390327920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2, 71, -3\/4 in descending order.\nAnswer: 71, -1\/3, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300)*2)*-2)**2.\nAnswer: 160*sqrt(3) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 1695 = -z - 3*a, -2*a = -5*z + 1670. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**1)\/(w**1*w)*(w**(1\/2)\/w)\/((w\/(w\/(w**(-4)\/w))*w)\/w) assuming w is positive.\nAnswer: w**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + s**3 - 4*s + s - s**2. Let o(g) = g**3 - 5*g**2 - 5*g + 4. Let t be o(0). Suppose -t*l + 6*l - 22 = -3*w, 0 = 5*w + l - 25. What is x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let p = 10 + -4. Suppose 0 = u*d + p*z - 3*z - 14694, -d - 4*z = -4892. Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r + 2. List the prime factors of q(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9050, -18100, -27150?\n\"Answer: -9050*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - (-5)\/(-8). Let q = -8.417 - -8.717. What is the nearest to -2\/3 in q, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**2*o + 837420*f*o - 31936*o + 7 wrt f.\nAnswer: 6*f*o + 837420*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -53*d - 26. Let q be l(-9). Suppose 6*w - q = 293. What are the prime factors of w?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 - 2*y. Let d(m) = -6*m**2 + 3*m - 1. Let c(g) = 4*d(g) + 5*x(g). Let n be c(-3). Let i = n - -3. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -8*r**3 + r**2 - r + 1. Let d = -16 - -20. Suppose 0 = d*y - 4. Determine f(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 115\/25 + 2\/5. Suppose -3*v + 5*i = -11, 0*i - 27 = -3*v - 3*i. Let d = v - w. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**4 - 24290*t**3 - 1249295*t**2 + 1273590*t = 0.\nAnswer: -4806, -53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006122 plus -0.801?\nAnswer: -0.807122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 0 - 23628\/198*(-102)\/(-4). Which is smaller: s or -3039?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/1)\/(9 + -7). Find the third derivative of -4*d**5 + d**5 + a*d**5 - 3*d**2 + 5*d**5 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6*p)**(-37)\/((p*(p**(2\/63)*p)\/p)\/p*p*p\/(p*p\/(((p*p**7*p)\/p)\/p))) assuming p is positive.\nAnswer: p**(-16760\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22753 is divided by 22743?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42*31.3632\nAnswer: 1317.2544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, u: 5}. Give prob of picking 2 c and 2 u.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 + 52 = -4*d + 2*l, -3*l = 4*d - 103. What is the lowest common multiple of ((-22)\/(-3))\/(-20 - 61\/(-3)) and d?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 2*j**2 - 6. Let z be (-462)\/(-110) - 2\/10. Let m(k) = z*k + 26 - 26. Determine o(m(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 43 + 47 = 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**5 + 110*b**4 - 725*b**3 + 220*b**2 + 12800*b - 32000 = 0.\nAnswer: -4, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyd when three letters picked without replacement from {k: 3, d: 5, y: 3, l: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -67*x - 5. Let n be y(-9). Let a = -380 + n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 10*i**2 - 118. Suppose -v = -k + 4, -v + 5*k = -10 - 14. Calculate y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, s: 4, u: 1, z: 4, v: 3, r: 2}. Give prob of sequence rzzz.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32469611 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4860*z**3 - 15*z**2 - 20*z. Let j be q(-12). What is j rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 15 = 2. Let k = -13 + y. What is the third derivative of 4*g**3 + k*g**2 + 5*g**2 - 3*g**2 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32, 14, -30, -112, -244, -438, -706?\n\"Answer: -2*x**3 - x**2 - x + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*g**2 - 68*g**2 + 48*g**2 - 344*g**2.\nAnswer: -434*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 138 and -6.82?\nAnswer: -941.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 a, and 1 c when four letters picked without replacement from {c: 3, j: 1, e: 8, a: 5, x: 2}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 66 = 3*l, -4*l + 84 = 207*y - 211*y. What is the highest common divisor of l and 11352?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/330 and 3\/44.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*z = 154, 8*r - 7*r + 2*z - 153 = 0. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 16*b + 225.\nAnswer: -(b - 9)*(b + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 23*m + 103. Calculate r(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8596, -8590, -8584, -8578?\nAnswer: -8572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 25*j = 16*j. Let r(q) be the second derivative of j - 25*q - 1\/2*q**3 - 29\/2*q**2. Differentiate r(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 9609. Let y(x) = -3*x**2 + 7*x. Give y(q(z)).\nAnswer: -3*z**2 + 57661*z - 277065906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 1*sqrt(288))*-1 + 5*(sqrt(240)\/(sqrt(30)\/sqrt(3)) + sqrt(24))\/(-4*sqrt(36)\/sqrt(3)).\nAnswer: -53*sqrt(2)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 1\/7, -3, -12\/29?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11588201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/2280*19*-6)\/(3\/4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/23, -4, 10, 8?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*y + 1 = 51, n = 3*y - 10. Let m be 3*n\/((-15)\/(-513)). Find the common denominator of 23\/3 and m\/(-36) - 1\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1423098628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15617 and 630791.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y + 44 = 4*l, -5*y - 1 = -3*l. Let s(x) = x**3 - 7*x**2 + 3*x - 10. Calculate the smallest common multiple of 3 and s(l).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than 0.004355546?\nAnswer: -0.075644454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 - 21200?\nAnswer: -100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.04692 - 0.04692. Which is the nearest to -1\/4? (a) t (b) 1 (c) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:11 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46581 - 22304. Does 62 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 193*m**2 - 109 - 387*m**2 + 198*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6021684632.\nAnswer: 2, 752710579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 - -176.11. Let u = j - 0.41. Which is greater: -1\/3 or u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)\/m)**(-28) assuming m is positive.\nAnswer: m**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 17*u**2 + 2*u + 13. Let x(d) = d**2 - 20*d - 13. Let q be x(20). What is the hundreds digit of g(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 90275, 90279, 90283, 90287?\n\"Answer: 4*q + 90271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 3*v**2 - 2 - v - v - 3. What is the tens digit of k(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let a(u) = 4*u + 26239238. What is c(a(o))?\nAnswer: 8*o + 52478476","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -35, -86, -167, -284, -443?\n\"Answer: -n**3 - 6*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541247438.\nAnswer: 2, 3, 17, 199, 75931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23843.\nAnswer: 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/7*104\/(-624).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2177*g - 170091 = -7043*g + 228921 for g.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51121623 (base 7) to base 3.\nAnswer: -22000022100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pllp when four letters picked without replacement from ltllplupuuuuukluuuuk?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946073119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2487294*b + 2487073*b - 1)*(-234*b - 11*b**3 + 234*b).\nAnswer: 2431*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (1*sqrt(39))\/sqrt(3))**2 + (sqrt(325)*-2 - (-2*(-1 + sqrt(13)))**2) + -1.\nAnswer: -35 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-105)\/(-36)) + 3 + -6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + y - 5 = -2*r, 0 = -r + 3*y - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, h: 3, v: 1}. Give prob of picking 1 g and 1 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ooojoojj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-24)*-3*(1 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-19))\/g*g*g\/((g\/(g**(-12)\/g))\/g) assuming g is positive.\nAnswer: g**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) 5 (b) -4\/25 (c) 0.03 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/(3*(-26)\/(-13))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 9*f**2 + 4*f - 12. Let m be t(9). Suppose -m = 4*b - 40. Solve 9*l = b*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -1\/3834, 3, 30?\nAnswer: -1\/3834","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*v + 7*v = 30*v - 918 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -0*n - 4*n. Let s = n + 26. Let t(j) = j + 24. Calculate the remainder when t(0) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -17*v**3 - 13. Let z = 40 - 66. Let w(u) be the second derivative of -u**5\/5 - 3*u**2\/2 + u - 15. Give z*w(t) + 6*l(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233884653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 9:02 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.68895ns in microseconds?\nAnswer: 0.00168895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + (-29)\/(-4). What are the prime factors of -4*28\/(3 - b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 40*f - 326. Give o(47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*a = -954 - 278 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(396) + sqrt(396) + -1 - sqrt(396) - sqrt(396)) + 5)**2 - sqrt(396))*-4*2 + -5).\nAnswer: -532 + 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 178 + -64. Let k = 115 - x. Which is the closest to -2? (a) 4 (b) k (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 111. Suppose 18*y - x*y = 119500000. What is y rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 527 + -526.9. Let n = -0.275 + 0.075. Which is the nearest to 3? (a) f (b) 0.4 (c) 5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - ((-207)\/54 - 2\/(-6)). Which is the nearest to 1\/4? (a) 9 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*w + 301*w + 114*w - 23*w.\nAnswer: 459*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f + 124. Let c be s(-24). What are the prime factors of (-6 - -3)\/((-4)\/c)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13542405 (base 6) in base 5?\nAnswer: 104331144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*g = -7*g - 214, p - 2*g - 220 = 0. What is the smallest common multiple of 63 and p?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 6:25 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1153 and -0.260852.\nAnswer: 0.854448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387063673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 213668 and 12?\nAnswer: 641004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19686941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*s - 0*j + 158, 2*j + 44 = s. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -618 + -296?\nAnswer: -8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010001100111100 (base 2) to base 13.\nAnswer: 122ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 6. Let m be f(16). Suppose -2*w + m = 4*v, -4*w = 3*v - 4 - 11. Find h such that -3*h**5 + 2 + h**5 - 5*h**4 - 4*h**w + 6*h - h**4 + 4*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. What is the lowest common multiple of (-715)\/(-99) + 4\/(-18) and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50218656 by 4.\nAnswer: -12554664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49847522187 plus -123?\nAnswer: 49847522064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14.5+17.563663265\nAnswer: 3.063663265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 1, -18 in descending order.\nAnswer: 1, -18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330459849?\nAnswer: 3, 36717761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 338305, 1353213, 3044727, 5412847, 8457573, 12178905?\n\"Answer: 338303*v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15121 is divided by 7520.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -f - f + 4*d, 0 = -d - 3. Let s = 21 + f. What is the greatest common factor of s and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, 108, 814, 2188, 4452?\nAnswer: 7828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 4*z + 2. Let a be l(-5). Let h(b) = 4 - b + 2*b + b**2 + 3*b. Let w be h(a). Which is smaller: w or 5\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 26 = 5*v, -4*v - 3*l + 0 = -4. Let y(k) = -k**2 - 2*k - 2. Let t(b) = -5*b**2 - 11*b - 11. Calculate v*t(i) + 11*y(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -100 (b) 1\/2 (c) -27 (d) -2\/3 (e) 1\/4 (f) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghol when four letters picked without replacement from onnoogohololglonn?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkggkgkggg. What is prob of sequence gg?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29321*a**3 + 36667.\nAnswer: -87963*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 0.1 (c) 10.23 (d) -1.3 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/91 (b) -2\/9 (c) 5 (d) -0.09185 (e) 4 (f) -0.2 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 16*l - 9. Let p be x(17). Solve d + d - p = 5*c, -2*d + 4*c = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13758, -11, -4, 124, 5 in descending order.\nAnswer: 13758, 124, 5, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-7) + 1 + (-442)\/(-357). Let m = -11 + 24. Put l, 0.2, m, 4\/7 in decreasing order.\nAnswer: m, l, 4\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let p = -1514 - -14374. Let h(r) = p + 0*r**2 + 2*r**2 - 12653. Calculate h(b(u)).\nAnswer: 8*u**2 + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12*d - 100. Let k be f(8). Is (2798*48\/(-128))\/(1\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + -5*(sqrt(1008) + 1))**2*-6*1.\nAnswer: 2880*sqrt(7) + 151296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {g: 2, y: 2, r: 6, a: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2637, 788, -1061, -2910, -4759, -6608?\n\"Answer: -1849*q + 4486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 4326004574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -505 + 554. Suppose 53*h = o*h + 1188. Do h and 298 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + x - 1. Let a be l(1). Suppose 3*g + 2244 = 3*b, 13*g - 2249 = -a*b + 17*g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -53, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a7 + 1546?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3773*h**5 - 785568*h**4 + 20790294*h**3 + 9006428*h**2 + 1291221*h + 61596 = 0 for h.\nAnswer: -1\/7, 348\/11, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-396)\/10)\/(-22)*10\/2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 less than or equal to 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/7439, -0.4.\nAnswer: -3\/4, -0.4, 2\/7439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.85216cm in meters?\nAnswer: 0.3285216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 2*v**2)*(-4*v**3 - 3 + 3) + 5*v**5 - 2*v**5 - v**5.\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-108))\/(3 + -13 - 558\/(-54))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61\/2*q**4 + 7\/2*q**5 + 0*q + 0 + 8*q**2 + 19*q**3 = 0. What is q?\nAnswer: -2\/7, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 626 divide 64238242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -25, -2*x = d - 5*x - 168. Suppose 4*r - 97 = -5*z, 5*r - d = -z - 58. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2198013831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pauaibiaiuiuaaibiaa. Give prob of sequence pabb.\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126255 and 6760623?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9*v = 8. Suppose -16 = -v*x + 2. Let y be -3 + (26\/5 - 2\/10). Solve 0 = -m - y*m - x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/13 in -3, -261, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -369066 (base 12) in base 4?\nAnswer: -3120130032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1 - 257*z - 362*z + 162*z + 0. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 431*o + 2103. Let n be m(5). What is the nearest to 4 in 7, n, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53547350?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-30)\/(-9))\/(22\/(-66))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224 is divided by 607?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 > 2\/12855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 6*c - 2*c. Let i = -48 + c. Suppose 5*t + 8 = i. What is the remainder when t is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 2, n: 6, f: 1}. What is prob of sequence dd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.21979744 to 1 dp.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z**2 - z)*(202*z**2 - 202*z**2 + 7*z**3).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2087774, 2087773, 2087772, 2087771, 2087770?\nAnswer: 2087769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (7 - 1)) + -7 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, 1 t, and 1 r when four letters picked without replacement from {r: 7, w: 1, t: 5, f: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/563 less than or equal to 1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Let k(h) = 2*h**2 - 4. Let s be k(0). What is the second biggest value in f, s, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -804768 - -804788. Calculate the smallest common multiple of b and ((-54)\/(-4))\/((-2)\/(-168)).\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -b - 3*a, 0 = -b + 4*a - 11*a - 10*a - 2358 + 2378 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 13*u - 33*u + 20 + 256 - 12*u - 24*u. List the prime factors of j(-20).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -2*w**5\/15 - 2*w**4\/3 + 8*w**3\/3 + 2*w**2. Let f(g) = g + 15534 + 15550 + g**2 - 31085. What is 16*f(t) + i(t)?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38863, 35948, 33033, 30118, 27203, 24288?\n\"Answer: -2915*w + 41778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 - (0 + 2 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25 - 0\/(12 - 5). Suppose -4*l - 5 = 7, l - y = -4*d. Solve f - d = -3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-1))\/7*6\/(18\/3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**8\/560 + o**7\/70 - o**6\/60 - 3*o**5\/10 + 9*o**4\/8 + 10*o**3\/3 + 56. Let n(d) be the third derivative of l(d). Factor n(p).\nAnswer: 3*(p - 1)**2*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c + c - 7*c - 7*c to w + d*c and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 + 4?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*b**2 - 13*b**2 + 20*b**2 + b**2 - b**2 - b**2 + (2 - 7 + 2)*(3*b**2 + 2*b**2 - 3*b**2) + 0*b + 0*b - b**2 - 3 + 3 + b**2 + 2.\nAnswer: 36*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r + 7*r - 5*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280.4187l to millilitres.\nAnswer: 280418.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 10*q**2 + 25*q + 16. Let h be z(-12). Let l be (h\/(-24))\/(28\/(-16)). Which is the nearest to l? (a) -0.5 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6449754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 509*v - 203. List the prime factors of o(16).\nAnswer: 3, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 1. Let s be o(-1). Let q = s + 30. Suppose 3*k + 6*t - 27 = 3*t, 0 = -3*k - 4*t + q. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*h*q*s*w**3 + 2*h*q*s*w + 2*h*s*w**3 - 6*h*s*w**2 - 4*h*w**3 + 4*h*w**2 - q*s*w**2 wrt w.\nAnswer: -126*h*q*s + 12*h*s - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 693 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5269398, 5269404, 5269410, 5269416?\nAnswer: 5269422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 5:01 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 7*c - 3. Let u(d) = 1. Let m(b) = h(b) - 3*u(b). Let p(a) = a**3 + 4*a**2 - 2*a - 1. Let t be p(-4). Let g = 12 - t. What is m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-15)*(-24)\/10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -3, -999936 in increasing order.\nAnswer: -999936, -3, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494 = 7*s - 290. Suppose 0 = 6*m + 2*m - s. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-770)\/65 - (2 - 14)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.91 + -10. Let l = -0.01 + m. Which is the third smallest value? (a) -2\/9 (b) l (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1665336 + 5209209 = 0. Let a = 2074909 - k. What is a rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -0.1 (c) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wttttzzzzzwtztt. What is prob of picking 1 t, 2 w, and 1 z?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 1456*g**3 - 1452*g**3 - g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 122 = -0*g + 3*g - 59, -18 = -4*f + g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12288)\/(-5376))\/(4\/147).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 4*w**2 + w. Calculate the remainder when 14 is divided by g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -18 - (0 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*h + 26, 4*c - 30 = -h + 35. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*p - 2. Suppose -x + 3*h = -4*x + 15, 0 = 3*x - p*h - 22. Suppose -3*i + x = -18. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4959415 to the power of 1\/2, to the nearest integer?\nAnswer: 2227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*g**3 + 195*g**2 + 408*g + 48 = 0. What is g?\nAnswer: -4, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5296 by -331.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - q = -2*q + 18, -4*q = b + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.633 from 8551.4213.\nAnswer: 8552.0543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 371.1 + -371. Let x = -0.1 + -0.3. Which is the third smallest value? (a) -0.1 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + g**3 - g**2 + (g**2 - g**2 + 2*g**2)*(1 + 2*g - 1) + g**3 + g**3 - 4*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 - -25 - -2*2. Suppose -w = w - c - f, c = 5*w - 95. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1425349506*s**2 + 1241239882.\nAnswer: 2850699012*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1345, 1333, 1321, 1309, 1297, 1285?\n\"Answer: -12*f + 1357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 434 - 434.06. Let x be ((-6)\/(-10))\/(8\/10). Sort x, 3\/7, h in decreasing order.\nAnswer: x, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392397 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 35114*b - 1. Let w(k) = 18*k. What is o(w(r))?\nAnswer: 648*r**2 - 632052*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*x = 18, 2*i + 17*x - 22*x - 39 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 72*k**2 - 3*k - 2. Let z be i(-3). Round z to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssfsfzs. Give prob of picking 1 s and 2 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 2*c**2 - 12*c**4 + (2*c + 3*c - 2*c)*(c**2 + c**3 - c**2) + 2*c**4 - 2*c**4 - c**4.\nAnswer: -10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -12719?\nAnswer: 12718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*u = 46, -50*g + 5*u = 39*g - 104*g - 130 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose 5*a + 140 = -0*a. Let c be (-120)\/a + (-6)\/21. Solve -t + c = -p*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(7200) - sqrt(7200)*-1)*3 - (sqrt(7200) + 0)*4) + ((sqrt(7200) + -1)*4 + 1)**2.\nAnswer: -1320*sqrt(2) + 115208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15557988 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -692*y + 1287. What are the prime factors of c(-7)?\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-4 + 55 + -21).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/65 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -163, -654, -1471, -2614, -4083, -5878?\n\"Answer: -163*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110716720501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1)*(1 + -2). Suppose -2*b = 4*t - 4, 4*b = 4*t - 0*t + 8. Sort b, -4, p in decreasing order.\nAnswer: b, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268770 (base 9) in base 16?\nAnswer: -28056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1400 (base 6) to base 14.\nAnswer: -1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 6. Let l(r) = -1. Let q(w) = 3*l(w) - p(w). Let i be q(0). Find o such that 0*o - 1\/2*o**i + 1\/2*o**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -53.3.\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.43 + -14.73. Let u = -28 + 27.39. What is the biggest value in -5, l, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -0.011?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -3, 3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 8 + 10 = 0. Suppose 3*m = -l*s - 2*s - 159997, -4*m = -s - 40004. What is s rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -5, 27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 360. Suppose 6*w - o = 3*w. Suppose 5*n = 5*j + w, n = -2*n + 4*j + 72. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 + 1 - 5)) + 9 + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**2 - 5 + 8*o**2 - 23 + 25 - 355*o**3 to the form w*o + l + k*o**3 + i*o**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 39, 12\/65, 3\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -196, -739, -1652, -2941, -4612?\n\"Answer: -v**3 - 179*v**2 + v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(1\/5))*f**(-13))\/(((f**(1\/13)*f)\/f*f)\/f*f**(-6)) assuming f is positive.\nAnswer: f**(-473\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193.4629 litres to millilitres.\nAnswer: 193462.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (67\/(-134))\/(1\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463123041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 11*r**2 - 11*r - 1. Let v be (1 - 0)\/((-30)\/190)*-9. Let j = -67 + v. What is c(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*m = -43*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-8))\/(7\/(-420)). Suppose 16 = 4*o, 0 = z - 4*z + 3*o - u. Let r = z + 81. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**2\/2 + 26*h - 9. Calculate the remainder when (-27)\/(-4)*(-224)\/(-21) is divided by l(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1972486 and 29\/10.\nAnswer: 9862430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -187 + 718. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 30*t - 29 + 36. Solve 16 = 4*y - j, 4*y - 16 + 0 = -t*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - g**3 - g**3 + 2*g + 35 - 5 to the form c*g**3 + f + a*g**2 + s*g and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from iqbquuu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**7\/945 + x**6\/135 + x**5\/45 + x**4\/27 + x**3\/27 - 9*x**2 + 15. Let l(r) be the second derivative of u(r). Factor l(i).\nAnswer: 2*(i + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 64909746.\nAnswer: 259638984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 9:31 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -388, -21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2 - 62*a + 0*a**2 + 53*a wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/21, -1539\/110, 0.2, -5, -4, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 605 and 495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 621125353 to the power of 1\/2, to the nearest integer?\nAnswer: 24922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505*n + 497*n + 60024 = 0. Is n a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 7 = -3, -u - 4*z + 5 = 0. Suppose u - 81 = -4*f. Calculate the smallest common multiple of 18 and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y + 63*y**2 + 0*y**3 + 1\/6*y**6 + 0 - 1\/12*y**5 + 1\/14*y**7 - 5\/12*y**4. Factor z(o).\nAnswer: 5*o*(o + 1)**2*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-26))\/(1136\/3692)*(-18532)\/(-41)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/8))**(-46))**(-1\/2) assuming z is positive.\nAnswer: z**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -5281\/28192?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1771399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512803?\nAnswer: 512803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-9))\/((-1)\/21). Let q be ((-100)\/14)\/((-5)\/x). Suppose 4*l - q = 3*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (-5 + 1*sqrt(1088) - (4 + sqrt(1088) + -1 + sqrt(1088) + sqrt(1088))**2)).\nAnswer: 408*sqrt(17) + 29412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 156 - 871. Calculate the remainder when d is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.7 and 0.14?\nAnswer: 3.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*a**6*p**2 - 2*a**4*p**2 + 23*a**2*p - 2*a*p**2 wrt a.\nAnswer: 9000*a**3*p**2 - 48*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/(i\/(i**(1\/2)\/i)))\/i)\/i*i**(3\/2))\/(i**0*i*(i\/(i**(-6)*i*i)*i)\/i) assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9942 - 6713. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:13 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 30. Let c be (10\/x)\/(1\/(-78)). Let y = c - -75. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -739 + 0.1.\nAnswer: -738.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 46. Solve 0*y + q = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f*f*f**(-1\/3)*f*f*f))\/f)**(-8\/7)\/(f\/f**(1\/3)*f*f**5))\/(f\/(f\/f**(-3))*f*f\/f**(-1\/2)*f)**8 assuming f is positive.\nAnswer: f**(-136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 225431046 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 7. Let q be w(-5). Let r(f) = f. Let s be r(-3). Let z = q - s. What is the smallest common multiple of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4419 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67.46429 + -67.5. What is v rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61306, -60070, -58018, -55156, -51490, -47026?\nAnswer: -41770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, n: 5, i: 2, w: 2}. Give prob of picking 1 w and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 4419 - 2*k**2 - 2211 - 116*k**4 - 2210 + k**3 as f*k + a + h*k**2 + d*k**4 + p*k**3 and give d.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v**2 + 4*v**2 + 12*v**2 in the form u*v**2 + h + b*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 2. Let m(s) be the second derivative of 11*s**3\/6 - 5*s**2\/2 - 2*s. Let b = -23 + 14. What is b*o(w) + 4*m(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -9, -0.07, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133020 + 2021?\nAnswer: 135041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 65. Let f be t(-18). Suppose -2*o - 15 = -7*o. Suppose f*y = o*y + 20. Solve y*g = 2 - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372 + 391 - 763 + 10*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5446172913?\nAnswer: 3, 179, 10141849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 8618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 42507*v**2 + 41805*v**2 + 0 + 0.\nAnswer: -702*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 72 = z. Let y be (-48)\/(-27) + 8\/z. Suppose 4*c - 52 = y*w, -2*c + 3*w + 10 = -8. What is the remainder when 29 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3152 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3960)\/(6138\/(-93)))\/((6\/(-3))\/(-1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56.79 at least as big as -43804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10661900, 10661897, 10661894?\n\"Answer: -3*q + 10661903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:49 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 7 = -2*s, 0 = -4*s + p + 2*p + 7. Let g be 3\/(-9) + s\/3. Suppose -4*k = u - 108, g = -3*u + 12. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -a - 2*z + 13, -5*z + 2 = -a. Suppose a = g - 0. Solve 0 = 4*k + 5*t - 21, -3*k - 3*t + 4*t - g = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**5\/20 + 5*l**3\/6 + 5*l**2\/2 - l - 5. Let c(x) be the first derivative of u(x). Is c(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/56 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 8121*o**3 - 7543494*o**2 + 2587248012*o - 170245044120.\nAnswer: -3*(o - 874)**3*(o - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -14*t + 180. Let a be h(12). Suppose 18*l**3 - a*l**5 + 0*l + 12*l**2 + 18*l**3 + 4*l**4 - 8*l = 0. Calculate l.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-40)\/10))\/((-2)\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -11. Let x be 5\/10*i*24. Suppose -4*q - x = -4. Let r(m) = -3*m - 6. Give r(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, x: 5, t: 8}. What is prob of picking 2 t and 1 x?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234738, -234694, -234624, -234528, -234406, -234258, -234084?\nAnswer: -233884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 787657513.\nAnswer: 787657513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498563695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -2*y**7\/3 + y**5\/10 - 57*y**4\/4 + 3*y + 4. Find the third derivative of q(w) wrt w.\nAnswer: -1680*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-357*h**3 + 975*h**3 + 269*h**3)*(-2*h + 7*h - 3*h) + 0*h**4 - 2*h**4 + 4*h**4 + (1 - 1 - h)*(-6 - 5*h**3 + 6).\nAnswer: 1781*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 6 = -k. Let l(v) = -v - 4. Let q be l(k). Let y = 12 - q. Calculate the remainder when 26 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 93582324 divided by 1998\nAnswer: 46838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s**2 + 4*s. Let m(h) = 26*h**2 - 11*h. Let j(d) = 4*m(d) + 11*u(d). Let i(a) = 0 + 0 + 2*a**2. Give i(j(x)).\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and 187?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 34. Let u be s(-17). Suppose u = -q - 5*v + 17, -2*v + 23 = -5*q - 0*q. What is the fourth biggest value in -5, 1, -4, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -105 - 71 + 0*w - 9 + 17*w + 0*w. Let b be h(21). Sort b, -3, -1.\nAnswer: -3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffxdrx. Give prob of sequence frf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = 3*s - 18*s. Suppose s*j = 20 - 37. What is the nearest to 1 in j, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846279 is divided by 211553.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*145.983\nAnswer: -291.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1303295360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5 + 12*c**4 + 36*c**3 + 6*c**2 - 33*c - 18.\nAnswer: -3*(c - 6)*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 554.651 litres?\nAnswer: 554651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-nine halves of a kilogram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770690915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4070979430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 32 = -4*q, 0 = 3*d + d + 4*q - 44. Calculate the remainder when d is divided by ((-25)\/30)\/((-2)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -8. Let u be 3\/q + 1 + 17. Solve u = -5*b + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 876 + 3*x - 876.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**2 + 5*f + 12. Let m be t(10). Let g = 1572 - m. What are the prime factors of g?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -25.89. Let f = k + 0.18. Let m = f - 0.0764. What is m rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -m + 24, 9034*m - 9031*m = 2*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(17)) - (0 + sqrt(34)\/sqrt(2))**2.\nAnswer: -21 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 5*o + 1. Let v be 5 + (3 - 9\/3). Suppose -10 - 10 = v*t. Let z = 3 + -12. Let s(h) = 4*h**3 - 11*h - 2. Determine t*s(n) + z*y(n).\nAnswer: 2*n**3 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.95692 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 36432*b - 110607552.\nAnswer: -3*(b + 6072)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1784*r + 449*r + 2462 - 2462 + 442*r + 447*r + 452*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 346173 to the power of 1\/2, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2. Let n(r) = -483*r**2. What is n(m(l))?\nAnswer: -17388*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 218330759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1453 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 12*x**2 + 12*x + 9. Let m be q(-11). What is the smallest value in m, 3, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and (68\/(-104) - (-2)\/13)*-36.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/q**(-3\/5)))\/q)\/((q**31*q)\/q*q))\/(q**(2\/15)*q**(-32)*q))**(-35) assuming q is positive.\nAnswer: q**(287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + -2*(sqrt(1377) + (sqrt(1377) + -2 + sqrt(1377) - sqrt(1377)))*-6)*4 + 5.\nAnswer: -1728*sqrt(17) + 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = k + 3, -k + 2*t = 7*t + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151\/3 + -51. Suppose 221 = 4*q + 5. Let z = q + -56. What is the closest to -1\/3 in v, z, 3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172477593?\nAnswer: 7, 19, 8815621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 7*h + h**2)*(-3 + 4*h - 5*h + 4).\nAnswer: -h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 5)*(2*v**2 - 4*v**2 + 3*v**2) + 2*v**2 - 5*v**2 - 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -726 + 709. Is -0.1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/59 + 1161888\/64428?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 101*v**4\/12 - 43*v - 13. Let d(i) be the first derivative of s(i). Let j(b) = b**2. Determine j(d(z)).\nAnswer: 10201*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -91692 and -91693 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -3. Let a = 2 + n. Suppose 7 = v + 2. Put -2, v, a in ascending order.\nAnswer: -2, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37231 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -202, 87 in decreasing order.\nAnswer: 87, 1, -4, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*w**2 + 0 - 13\/8*w**4 + 0*w + 3\/8*w**5 + 2*w**3.\nAnswer: w**2*(w - 2)**2*(3*w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8566, 17128, 25692, 34258?\n\"Answer: o**2 + 8559*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 2)*(-5*r**2 + 5*r**2 + 3*r**4) + 1 - 1 + r**4 - r**4 - 3*r**4 + 3*r**4 to the form b*r**4 + f*r + n + q*r**3 + o*r**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2 - 278883815*j - 557767650 = 0. What is j?\nAnswer: -2, 55776765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 220cbf + 2?\nAnswer: 220cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:07 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, 130, 363, 678, 1069?\n\"Answer: -g**3 + 50*g**2 + 2*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319761390?\nAnswer: 2, 3, 5, 13, 61, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + -48.362. Let b = 0.1 + p. What is b rounded to 2 decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.033, -1?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3456709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1 + 64 = 5*u, 5*u - 62 = -2*t. Let x be 6\/((-4)\/(7*-4)). Suppose 4*d - x = d. Calculate the lowest common multiple of u and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(0 + (-1)\/(-4)). Suppose -4*d - q = -3*p + 40, -3*d - 4*p - 45 = 0. List the prime factors of (-54)\/(-10)*(-50)\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87.36 - 86. Let u = p - -4.54. Round u to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1. Let u(b) = -23*b**2 + 15*b + 52*b**2 + 6 - 30*b**2. Let t(f) = u(f) - 2*x(f). Let g be t(15). Solve 0 = 5*h + g*o + 6, o + 4*o = 2*h - 24 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 10295280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1edd0b (base 16) to base 2.\nAnswer: 111101101110100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*174\/4*25\/30 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -318 - -1580. What is the least common multiple of 5 and l?\nAnswer: 6310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 1 + 4 - 4. Let h be x(-1). Solve -i - 2*q - 3 = h, -2*i - 15 = 3*i + 2*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 222 + 434?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.5 + -1.5. Let x be -2 + 1 + 3\/5. Let t = -9798 - -9798.4. Put z, -4, x, t in ascending order.\nAnswer: z, -4, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 283937, 567937, 851937, 1135937?\n\"Answer: 284000*z - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 210 - 417\/2. Suppose 0 = d - 0 - 2. Which is the nearest to -6? (a) d (b) h (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2204834978 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45639978*k**2 + k - 5882855.\nAnswer: 91279956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 86636 divided by 5\nAnswer: 86636\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1 + 12 - 16*c + 21 + 2. Let p be w(14). What is p rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 10 = 89*s - 91*s, 4*s = 4*r + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**7\/2 - 5*s**3\/6 - 11*s - 2. Let v(p) be the first derivative of z(p). Find the second derivative of v(l) wrt l.\nAnswer: -420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185035054 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.596 - 0.204. Let t = v + 31.871. Round t to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 2\/5*a**5 + 1 + 2*a**2 + 0*a**3 + 0*a + 0*a**4. What is the second derivative of z(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + 12. Let i = -8 + 15. Let o(z) = z**3 - 7*z**2 + 6. Let v be o(i). Calculate the greatest common divisor of w and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2*c\/(c\/((c**(1\/8)*c)\/c)))\/(c\/(c*c**20)*c*c**(-1\/8)))**49 assuming c is positive.\nAnswer: c**(3577\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 12149 and 6572865\/541 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 + 14 = 3*v. Suppose -9 = 5*z - v. Let k be 6076\/z + 2\/4. Round k to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -222, 2, 9, 155, -6.\nAnswer: -222, -6, 2, 9, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1081, -8, 2\/9, -0.3?\nAnswer: -0.1081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7414 divided by 3\nAnswer: 7414\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 45*q = 5*q + 486 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 13 - 1. Suppose 5*s - k = 4*s. Solve -2*q - 15 = s*y - 4*q, -5*y + 2*q = 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 0*k**2 + 5*k**2)*(-4*k + k + 2*k) + k**3 + k**3 + 0*k**3 + (11*k + 7*k**2 - 11*k)*(3*k - 3*k + k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeaa when four letters picked without replacement from aaaeeaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzj when three letters picked without replacement from njnnjzjjzjjjgjnj?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -151648850 or -151648856?\nAnswer: -151648856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*p - 31. Let r(q) be the second derivative of -q**4\/6 + 7*q**3\/6 - 2*q**2 + 2*q - 3710. What is r(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**5\/60 - w**4\/12 - 5*w**2\/2 + 20*w. Let m(p) be the first derivative of z(p). Let m(i) = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, r: 11, i: 2}. What is prob of sequence arii?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**8\/336 + w**7\/210 - w**6\/40 - w**5\/12 - w**4\/12 + 5*w**2\/2 - 4. Let m(l) be the second derivative of n(l). Factor m(f).\nAnswer: f*(f - 2)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100013130 to the power of 1\/3, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 86480?\nAnswer: 345920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 40*x - 179. Let k be x\/6*120\/(-45). Put 9, k, 3, 1 in decreasing order.\nAnswer: 9, 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0*t**4 + 0*t**3 - 12*t + 0 + 0*t**5 - 11\/2*t**2 - 11\/30*t**6. Differentiate d(h) with respect to h.\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-44))\/(210\/(-60)*(-6)\/(-28))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 27 = 21. Suppose -x + 9 = -0*x - h, 0 = -3*x - 2*h + 7. Suppose q*d - x = 17. Calculate the least common multiple of d and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)\/(o**(20\/9)*o*o*o)*((o**(-14)*o)\/o)**5 assuming o is positive.\nAnswer: o**(-686\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14 and -0.1.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -42. Let h = a + 9.4. What is the third smallest value in 0, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8772335 - 172.\nAnswer: -172.8772335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.79999863 - 6.8. What is c rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426329 divided by -1769.\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0.7. Let h = -31\/52 + -2\/13. What is the smallest value in h, t, 2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4160 + -4131. What is the remainder when 1025 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 11*j**2. Let b(v) = 8*v - 6. Let a(l) = 15*l - 11. Let s(p) = -6*a(p) + 11*b(p). Give s(o(k)).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2612822531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/2)\/d**(-1\/4) assuming d is positive.\nAnswer: d**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 6467?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3 - 10*a + 108*a**2 + 105*a**2 - 210*a**2 + 4. What is the remainder when t(-4) is divided by (-192)\/(-14) + (-8)\/(-28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ildlwiddwdlc. Give prob of picking 3 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let m = -0.05 + 6.05. Let t = u - m. Is t <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - d + 565 + 562 - 1117 = -3*r + d, -8 = 4*r - 4*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 4:13 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 take away 285318204304?\nAnswer: -285318204208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 449870652*k**4 - 355*k**2 + 60467*k?\nAnswer: 10796895648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -44. Let a be ((-438)\/52)\/((7 + g)\/(-96)). Let f = a - 202. What is the fourth biggest value in 5, f, -2\/7, 0.06?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2232*l**3 + 107*l**2 + 7*l + 7. Let q(m) = 2231*m**3 + 99*m**2 + 6*m + 6. Let h(k) = -6*b(k) + 7*q(k). What is the third derivative of h(p) wrt p?\nAnswer: 13350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + t = -281, -62 + 11 = -k - 5*t. Suppose 7 + 1 = 4*j, n - j = -k. Is 5 a factor of n\/4*4\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 3)*(-p + 2*p + 0*p)*(-1 + 3 - 6).\nAnswer: -20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1962?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afdd when four letters picked without replacement from daduffduuuufu.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2088\/11 - 190. Let m = -28 + 26. Let o be m*1*1\/2. Is o greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 30, 37, 44, 51, 58?\n\"Answer: 7*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -135\/416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(704) + 0 + sqrt(704) + -1)**2*-1.\nAnswer: -14085 + 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*v - 29*v - 41*v**2 + 18*v in the form s*v + t + c*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -412.851+48209\nAnswer: 47796.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 237264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*v + g, 0 = v + g + g + 2. Let j(r) = 7*r + 11. Let i be j(-1). Solve 4*m = -3*d - 2, -i*d + v*m = -0*d + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b + 5*c - 1060, 5*c = 2*b - 396. Let g = b - 162. What is the lowest common multiple of 12 and g?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d11d (base 16) to base 10.\nAnswer: -577821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - 5 + 260846*g**3.\nAnswer: 260846*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3695668 and 268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -30, 3, 94, 261, 522?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4\/7, 7\/5, 5819 in increasing order.\nAnswer: -4\/7, -0.4, 7\/5, 5819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 12*g - 27. Let b be f(14). What are the prime factors of 1\/(2\/(596\/b))?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/60*(-4)\/(-35)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -144454, -288876, -433268, -577630, -721962, -866264, -1010536?\n\"Answer: 15*l**2 - 144467*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -119941831?\nAnswer: -59970915.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10.03 (b) 2\/11 (c) -3 (d) -0.082 (e) -5 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000984223 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 + 6 = 0. Let z(p) = -p**3 - 2*p**2 + 4*p - 1. Let x be z(l). Let y(d) be the first derivative of d**3\/3 + 3*d**2\/2 + d - 1. Give y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -0.031.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -226*j**2 + 25*j**2 + 13*j**2 + (-4*j + 2*j + 0*j)*(2 - 2*j - 2).\nAnswer: -184*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2938 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -11. Let d = b + -15. Let y = 7 - 16. Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2 + 11611784*w - 8427095478916 = 0.\nAnswer: 1451473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 times 0.1\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23166 divided by -143.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 467*c**2 + 138*c - 4 wrt c?\nAnswer: 934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q. Suppose 0*m - 2*m + 6 = q. Suppose -5*i = 4*v - 3*i - 2, 0 = -5*v - m*i. Solve -2*x - 2*k + 4 = 0, v*x - 4*x = 2*k - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508052282 to the power of 1\/3, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*r + 2. Find the first derivative of -q**2 + 6*q**2 - q**2 + r wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:05 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 130, 198, 266, 334, 402?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.23585628 and -3?\nAnswer: 3.23585628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 = 5*d - i, 3*d + 0*i = -2*i + 320. Let x be 26\/20 - d\/72. Sort 4\/5, -2, 3, x in decreasing order.\nAnswer: 3, 4\/5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**15\/y**0 assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4254 and 6126?\nAnswer: 4343334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 5:05 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1167941, -2335880, -3503819, -4671758, -5839697?\n\"Answer: -1167939*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Let h be 782 - (6\/y)\/1. Round h to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1528*n - 172 = -1529*n. What is the greatest common factor of n and 2623?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6)*2)\/(680\/3060)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/36*-3*(-21)\/(-2). Which is smaller: d or -26?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 - 174*d - 4. Let l(y) = 3*y**2 + 99*y + 2. Let j(h) = 7*l(h) + 4*x(h). Give j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 10. Let h be s(6). Find the second derivative of 48*g**2 - 48*g**h + 6*g**3 + 3*g + 3*g wrt g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-94 - 11) - (3712\/(-120))\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77702749.\nAnswer: 41, 1895189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -14. Let c(x) = 25*x**2 - 27*x**2 + 2*x + 12 - v + 0*x. Let t(s) = s**2 - s - 6. Calculate 6*c(q) + 11*t(q).\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - d + 87. Let t be y(0). Let n = 129 - t. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c - 429 = -531 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3823538 by 3638.\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:03 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 6437*v + 6437*v + 64.\nAnswer: 3*v**3 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**8 assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-21)*(-28)\/2. Suppose 2*d - 54 = -w*d. Let r(q) = 4*q - 4. Calculate the remainder when r(7) is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71150579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 + 98*i + 80. Let t = 416 + -409. Let q(p) = -2*p**2 - 50*p - 40. Let v(z) = t*q(z) + 4*w(z). Let v(b) = 0. What is b?\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 2*z + 2. Let l be h(-2). Suppose -l*j - 2 = -8. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 6*i. Suppose i = -2*n + 7*n - 70. What is the lowest common multiple of n and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u - 2*r + 50 = 0, -r = 3*u - 67. Let z be 65 + 3\/9*-27. Calculate the highest common factor of u and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-12 + 29 + -31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*s = 44, 4*l + s + 2*s + 30 = 0. Let p(m) = -11*m**2 + 11*m - 9. Let u(h) = -5*h**2 + 5*h - 4. Give l*u(x) + 4*p(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128527.\nAnswer: 7, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 11:51 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9977 + -9929. Which is the fourth smallest value? (a) x (b) -0.4 (c) 0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -441 divided by -2?\nAnswer: 441\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/3309144 and 139\/3114.\nAnswer: 9927432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2936 at least -2940?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = -3*w, -2*t = 3*w - 5*w + 8. Let o(l) = 3*l**3 - l**2 + l. Calculate o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/9 + 16478*b**3\/9 + 164930*b**2\/9 + 412450*b\/9.\nAnswer: -2*b*(b - 8249)*(b + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**3 + 720645*g**2 + 25922084400*g - 3199328323740 = 0?\nAnswer: -72126, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3821.\nAnswer: -4\/3821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 86 = 2164*l - 2146*l, -4*l + 16 = 2*g + 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 3, -2, -375, -2.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-4))\/(4\/(-16)). Let m = 32\/7 + -302\/63. Is m < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 6. Suppose -4*i - 2*v = -0*i - 6, 2*i - 2*v - f = 0. What is the third derivative of -i*w**4 - 2*w**2 + 0*w**2 + w**2 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 6:26 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1 + 1. Let y(w) = 10*w + 7. Let v(j) = 3*j + 2. Suppose -39 = -4*q - 67. Determine h*y(m) + q*v(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/10 + 14*v**3\/15 + 6*v**2\/5 - 36. Solve n(z) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -10 + -47 + (-5 - (-5 - (4 - -3)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 896511.6mm to meters.\nAnswer: 896.5116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942958 greater than or equal to 2942959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (0 + sqrt(275))) + 3 + (sqrt(275) - 6*(sqrt(275) + -2*sqrt(275))))**2 + -1 + 0.\nAnswer: 210*sqrt(11) + 13483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 + -68. Suppose -61 - 101 = -3*x. Suppose x*j = o*j + 579. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -60 and -62 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 = -57*p + 58*p, -4*u + 14 = -2*p. Let q(j) be the second derivative of 19*j**4\/6 + j**3\/3 - j**2 + j. Does 6 divide q(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u + 225398 + 44*u - 225398.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - (-6 + -51)) + (-5 - 8) + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4686 (base 9) in base 14?\nAnswer: 13a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/21228 and 109\/77836?\nAnswer: 233508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 945 divided by 105.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.69955048 - -0.0542522.\nAnswer: 3.75380268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185648755 and 920?\nAnswer: 1485190040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 - 77 + 7*d)*(1 + 7*d**2 - 1 + (4 + 1 - 6)*(-2*d**2 + 3*d**2 - 2*d**2) - 3*d**2 + 2*d**2 + 2*d**2).\nAnswer: 63*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 2. Suppose -o*u + 41 = -4*r, 66 = 5*u - 2*r + 23. Let a = -308 + 309. What is the lowest common multiple of u and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203 - -1?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/130 and -45\/143.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4594243 and 58457.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + sqrt(500)*-5)**2*-3*1 + -1.\nAnswer: -37544 + 1200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38103?\nAnswer: 3, 13, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(270)\/sqrt(9))\/(sqrt(1440) + (sqrt(1440) - (4*sqrt(1440) + sqrt(1440)))).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 10. Let s be x(-7). Suppose 0 = s*i - 0*i - 159. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d**2 - 11\/2*d - 15\/4 + 3\/2*d**3 - 1\/4*d**4.\nAnswer: -(d - 5)*(d - 3)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 24*d**2 + 4342*d + 124. What is a(41)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*o + 305*o - 152*o - 40*o**2 to f*o + p*o**2 + h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/2)\/((-2)\/(-72)). Suppose -4*w - w + 2*a = -364, -4*a = 2*w - 136. What is the highest common divisor of w and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-33) - (-340)\/(-583). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 796356988 a multiple of 1645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 19. Let b be 1 + -5 - 3\/1. Let m = n - b. Solve -2*c + c = m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**4\/24 - a**3\/6 + 4*a**2. Suppose 0 = -v - v - 4. What is the units digit of x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = 5*q - 31, -3*p = 12. Let m(r) = -r + 3. Let u be m(q). What is l in 0 + 0*l - 2\/5*l**4 + u*l**3 + 2\/5*l**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4580261 is divided by 2179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/108690 and 11\/36?\nAnswer: 652140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - -1*((sqrt(228) - sqrt(228)*-2) + sqrt(228)))\/(sqrt(12) - sqrt(1200)*2 - sqrt(12)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153.1952 - 0.2952. Round a to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let d be a(-8). Let p = 20 - d. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-793)\/(-15) + -15 + 5*(-6356)\/(-2100)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1807 + 3534. Let k = 1080 + v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312632711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 71*j + 1403. Let v be o(-87). Let a(w) be the second derivative of -1\/2*w**3 + v*w - 1\/20*w**5 + 1\/2*w**4 + 0 - 1\/2*w**2. Calculate a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234171779 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(0 + -1 + 3). Suppose -4*d + 2*n + 78 = -12, 18 = d + u*n. Calculate the remainder when 43 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 805 divide 20764975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 81 = -3. Let w = h - 58\/5. Which is the biggest value? (a) w (b) 8 (c) -5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, t: 3, n: 2, m: 3, r: 1, x: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/21 + (-24)\/(-7). Suppose 2*l - k*d - 214 = -8*d, d + 202 = 2*l. Suppose 0*h = -2*h + l. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 231, -2\/3, -52.9, -62 in descending order.\nAnswer: 231, -2\/3, -52.9, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f)**(1\/17))**(-48) assuming f is positive.\nAnswer: f**(-192\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*n - 3*p, 12610*p - 12611*p - 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 + -78. Suppose i + 255 = 3*r. Let y = 17866 - 17846. Calculate the highest common factor of y and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 26*y - 1587. Give p(55).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2230, -4481, -6756, -9067, -11426?\nAnswer: -13845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602023588 + -0.2779.\nAnswer: 602023587.7221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 - 66*v - 56. Let l be o(-10). Let y = 34 - 19. What is the third derivative of -10*h**2 + 6*h**5 - y*h**4 + 15*h**l - 22*h**5 wrt h?\nAnswer: -960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -32 + f**3 + 12*f**2 - 14*f - 2 + 13. Give z(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 5*o**3\/6 + o**2 - 7682*o. Let v(z) = -10*z - 3. Give 7*k(y) + 3*v(y).\nAnswer: 5*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -72 (base 15) to base 14\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 40156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (6 + (14 - 21) - -16)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977788 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - n + 7. Calculate d(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - 2*u)*(-u - 1 + 1) + 4*u**2 + 2*u**2 - 4*u**2 + 2*u**2 + 13*u**2 + 15*u**2 + 6 - 6 + 2*u**2 - 3*u.\nAnswer: 33*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 6. Let v be o(9). Let k be (2 + -1)\/(v\/(-6)). Is -1 - k - (-36)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75129 and 9324872?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 1. Let l be z(3). Let f(s) = -6 - l*s - s - 5 + 2. Is f(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(19) + ((sqrt(114) + sqrt(114) + sqrt(114)*2 + sqrt(114))\/sqrt(6))**2.\nAnswer: sqrt(19) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -69 (b) -0.3 (c) 1 (d) -0.1 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002817332 to six dps.\nAnswer: -0.002817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 + 3*r**2 - 184*r + 2. Let n(h) = -43*h**3 - 22*h**2 + 1287*h - 15. Determine -15*l(b) - 2*n(b).\nAnswer: -4*b**3 - b**2 + 186*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71077*h**4*p + 4*h**3*p + h**2 + 2*h*p - 459*h - p - 21 wrt h?\nAnswer: -1705848*h*p + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 + -201. Let p(r) = 29*r. Let f be p(1). Solve -8 = -c + y, -3*c + i*y + y + f = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*l + 30 - 2 = 0, 4*h - 4*l = 36. Suppose -5*f + 0 = -h. Let t = f + 23. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/5*7260\/(-352)*(-8)\/(-18)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 4 (c) 5 (d) 10411\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573 a factor of 760322134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**2 + 251660*k - 251664 = 0.\nAnswer: -62916, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -5*z**7\/42 + 7*z**4\/12 - 2*z. Find the third derivative of j(u) wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) + 159\/(-6). Let k be (i - -2)*(-3 + 2). Let u = k - 11. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46343850 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 1, y: 2, w: 4, a: 1}. What is prob of picking 1 a, 1 y, and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 10800. Suppose -f = -6*f + d. Suppose -6*m + f = 3*m. Calculate the highest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -913 (base 11) to base 3.\nAnswer: -1111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uggg when four letters picked without replacement from {u: 6, g: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + -4*(sqrt(77)*-2*2 - (sqrt(77) - (sqrt(77) - (sqrt(77) + (sqrt(77) + -2*sqrt(77) - sqrt(77)) + sqrt(77))))*-5)\/(2*sqrt(700)*-1)))**2.\nAnswer: -576*sqrt(11)\/5 + 9936\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44622 and 1332.\nAnswer: 89244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 678, 1480, 2584, 3984, 5674, 7648?\nAnswer: 9900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 744*p**2 - 163850 - 191*p**2 + 163811 + 68*p**2 wrt p.\nAnswer: 1242*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-404577)\/6*((-200)\/(-15) + -14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*7 - -1)\/(4122039\/44323)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1568.7 - 1571.7. Which is the second smallest value? (a) -0.4 (b) 0.12 (c) 4 (d) v (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 10311126.\nAnswer: -5\/5155563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/19 - 2788*f**4\/19 + 1271130*f**3\/19 - 210408544*f**2\/19 + 12357761000*f\/19 - 120133500000\/19 = 0. Calculate f.\nAnswer: 12, 125, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-2 + (-51)\/3). Let b(a) = a**3 - 12*a**2 + 15*a - 6. Let q be b(11). What is the greatest common divisor of q and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 411, 426, 445?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.19345\nAnswer: -0.58035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 180929291 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-16 + (2 - -2) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1069\/8 + -134. Sort -4, y, 2\/9, 0.2 in descending order.\nAnswer: 2\/9, 0.2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 15*x**2 + 7*x - 32. Let g(q) = 8*q**2 + 4*q - 16. Determine 7*g(o) - 4*h(o).\nAnswer: -4*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2142, -2144, -2146, -2148, -2150?\n\"Answer: -2*r - 2140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*y - 6592 + 6607, -3*y - 5*z + 15 = 0. What is the closest to 15 in -2\/5, 0.5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733 a factor of 28264480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 16*j + 21. Calculate f(17).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 - 3*u + 12. Let y be f(-7). Calculate the highest common factor of y and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(2299) + -2)*-6 - (2 + sqrt(2299) + 2 + 5))*1)**2.\nAnswer: 4158*sqrt(19) + 113380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-360)*(-300 + 194)\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 9*a**2 + 9*a - 7. Let x be y(-10). Suppose 0 + x = p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l - 3. Let b be h(-5). Let y be (-122)\/(-66) - (-4)\/(-22). Factor y*g - 2\/3 - g**b.\nAnswer: -(g - 1)*(3*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104423 (base 8) to base 4\nAnswer: 20210103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16552297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741801774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 + -8)*45\/25. Solve -5*p - b*z = -13*z + 25, -4*p - 14 = 2*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 116*n**3 + n**2 - 3*n + 2. What are the prime factors of x(1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from hezzeveehhh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 3941730.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -108, -131, -154, -177, -200?\n\"Answer: -23*j - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-4 + (-8 - 2) + 30) - (0 - -10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * 11.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 13 - 3*o + 2*o**2 + 7 + (-6*o + 2 - 2)*(o + 5*o - 5*o) as q*o**2 + a + h*o and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyy when three letters picked without replacement from jjjjyygyxytttxyj.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 10.5. Let r = -1.2 + 0.8. Let z = r - -4.4. What is the third biggest value in -1\/3, z, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 986284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62499683 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 21. Let c be q(-5). Is 164549\/35 + c\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1770120\/220*(2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -91*r**3\/6 - 77*r**2\/2 - r. Let j(w) = 356*w - 5417. Let n be j(15). Let t(k) = 7*k + 6. What is n*t(s) - 6*b(s)?\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1741.\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 178038 and 1620?\nAnswer: 1780380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3474*g - 317 = -317. Let m = 0.5 + -1. Which is the fourth biggest value? (a) -12 (b) g (c) -0.1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -59. Suppose -2*o - 55 = -5*g + o, -2*g - 2*o = -n. Solve -g = f + 2*y, 5*y = f + 3*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*l - 21*l + 2*l**3 - 5*l**3 - 9*l - 1117 + 9*l**3 wrt l.\nAnswer: 18*l**2 - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 377. Let i(m) = m. Determine i(c(r)).\nAnswer: r**2 - 377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1777*w**2 - 5*w - 2506. Let g(v) = -6*v**2 + v + 1. Let p(c) = d(c) + 5*g(c). Find the first derivative of p(x) wrt x.\nAnswer: 3494*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 40. Let r = -138.9 - -148. Let d = -9 + r. Which is the nearest to d? (a) 3 (b) -3\/2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1363044*t**2. Let r(z) = z**2. Determine r(v(h)).\nAnswer: 1857888945936*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 10*x - 432. Suppose 51*l = 47*l - x. Let d = l + 76. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 462.2 - 462.3. Let p be (-19)\/4 + (-1)\/4. What is the closest to i in p, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 563 - 3*q**2 - 824.\nAnswer: -3*q**2 - 1387","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2403, -9713, -21901, -38973, -60935?\nAnswer: -87793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-2 + 4)*-1. Let k = p + -5. Suppose -3*r = 3*o - k, 4*r = 3*o + 3 + 26. Solve -5*n - 2*a = -0*n - 9, r*a = -4*n - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2511420331 to the nearest integer?\nAnswer: 50114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058082 + 1274823707?\nAnswer: 1274823706.941918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2571359, 5142717, 7714075, 10285433, 12856791?\n\"Answer: 2571358*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30871807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/4 - (1 - (-21)\/(-12)). Suppose 0 = -j*a - 3*a + 826. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 680 and 66232.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10386*g + 3624*g + 3378*g - 109*g**3 + 3385*g.\nAnswer: -109*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -2*c + 102, 0 = 5*d - 10. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/5 - 2782*j**3\/5 - 2547693*j**2\/5 - 153233424*j - 763622208\/5 = 0?\nAnswer: -1032, -717, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*-5*(-15)\/(-25)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4673 + 8232. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13292529 and 1041?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + sqrt(200) + (2*sqrt(200) - sqrt(200)) + -4 - 4*(sqrt(200) + 3 + sqrt(200))*-4))**2.\nAnswer: 26520*sqrt(2) + 232721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505 by 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750300363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 20*s**2 + 1213*s - 436. Determine h(-61).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((242\/(-88))\/11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 160.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niehmye. What is prob of sequence ehm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 8*s - 55. Let y be 20\/11 + (-2)\/s. Suppose 0 = 3*h - y*h. Solve h = -3*u - u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(32) - sqrt(24))\/(sqrt(8) + sqrt(48)\/(sqrt(12)\/sqrt(2))) + 4 + 4*sqrt(6)\/sqrt(2)*-1.\nAnswer: -17*sqrt(3)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4318966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576502.\nAnswer: 2, 47, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:09 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 53. Let o be (m\/(-6))\/(1\/(-2)). Let p(w) = -w**3 - 2*w**2 + 5*w + 8. What is the units digit of p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7945517 millilitres?\nAnswer: 0.0007945517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 2*c + 5. Let q = -10 - -10. Let v be n(q). Suppose 0 = 5*d - v*j, d - 3*j = -4 - 2. Solve -5*u + 1 = -h + 10, -9 = -3*h - d*u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10d (base 15) to base 7\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -173*h + 171. Let t be o(-26). Suppose 0 = 5*i - t - 21466. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-3 + -1 + 2 - -7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81.61435 - 3.\nAnswer: 78.61435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/15 or 25243?\nAnswer: 25243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 9*n**2 + 188*n - 12. Let b be j(-10). Calculate the greatest common divisor of b and 920.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10)*120\/6. Solve 5*d = -4*y - 5, -2*y - 5*d + k = 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6\/5 (b) -0.1 (c) 1 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -20 + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y = 124. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.03, -0.458, 3\/2 in descending order.\nAnswer: 11, 3\/2, 0.03, -0.458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 84*p**2 - 88*p + 89. Calculate a(1).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/77 or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -13, 71 in increasing order.\nAnswer: -16, -13, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/d)**34)**(3\/14)\/((d\/(d\/(d\/(d*d**(-1)))))**(-18)*d\/(d\/(((((d*(d*d\/d**(1\/5)*d)\/d)\/d)\/d)\/d)\/d))*d**(-2)) assuming d is positive.\nAnswer: d**(589\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31, -0.053, 1\/5, 5\/2, 0.06?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -822 (base 12) to base 6.\nAnswer: -5242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c - 3. Let u(w) = -4*w**2 - 406*w - 3. Give k(a) - u(a).\nAnswer: 4*a**2 + 413*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.1, 2 in descending order.\nAnswer: 12, 2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000269 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r + 68. Let k be x(17). Let n = k - 152. Let a be (((-4)\/1)\/(n - -1))\/2. Which is bigger: -21 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v. Suppose -x = 5*d - 2*d + 33, 5*x = -30. Let g(u) = -12*u - 1. Give d*i(b) - 2*g(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 - 3 - r**3 - 1818*r + 1818*r)*(1 - 1 + 1).\nAnswer: r**4 - r**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 2*l - 16 = 0, 0 = -531*q + 534*q - 2*l + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 503*m**3 - 22*m + 35. Let i(j) = 252*j**3 - 12*j + 19. Determine -11*i(s) + 6*w(s).\nAnswer: 246*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 141*c**3 - c**2 + 16*c - 28. Determine a(2).\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -5*c**3\/6 + 205*c. Let l(j) = 16*j. Give l(s(n)).\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-10) + 6\/(-10). What is the hundreds digit of w - (-1)\/((-3)\/(-600))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5975*o - 65963. What is w(-11)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 16. Let f(z) = 2*z - 3. Let t be f(3). Suppose -3*q + 4 = -8. Solve d = -t*u + q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/418 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 264337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/7))**(-9)\/((x**19*x)\/((x\/(x\/(x\/(x*x*x**20\/x*x)*x*x)))\/x)))**(-14\/3) assuming x is positive.\nAnswer: x**(704\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**6\/144 - c**5\/30 + 7*c**4\/4 - 8*c. Let x(l) be the third derivative of f(l). Let b(d) = d. Determine 6*b(p) + x(p).\nAnswer: p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4230 - 2211. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-7\/6))\/(m\/m**(3\/14)*m))\/(m*m*m**22)**(-2) assuming m is positive.\nAnswer: m**(988\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-16)\/240*1*(-145)\/2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.47 - 8.1. Let w = m - 0.07. What is the nearest to 1 in w, 4, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 + 17*q**2 + 8*q - 7. Let h be n(6). Suppose 6*m - h = 1. Solve a + 0*a = -m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 16. Let m(w) = -2*w + 32. Let q(z) = 2*b(z) - m(z). Let o(d) = -2*d - 5. Let a(j) = -5 - 6 + 2 - 3*j. Let c(l) = -5*a(l) + 9*o(l). Calculate c(q(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*d**2*y**3 + a*d**2*y - 2*a*d**2 - 2*a*d*y**3 - 3*d**2*y**2 + 2*d**2*y - 218*y**3 wrt y?\nAnswer: -12*a*d**2 - 12*a*d - 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-1\/4)\/a)\/a)\/a)\/a*a)**(-35)*(a\/a**1)**41 assuming a is positive.\nAnswer: a**(455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 121. Calculate the greatest common divisor of h and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108352, -108349, -108346?\nAnswer: -108343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 < -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eff when three letters picked without replacement from {f: 7, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 2*c)*(-22*c - 47*c + 0*c - 2).\nAnswer: -138*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 3 - (16 + -16)) + 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124222 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 (base 11) in base 12?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113036206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007301 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220 + 6*f**2 - 3*f + 0*f + 0*f - 389.\nAnswer: 6*f**2 - 3*f - 169","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -10*k + 242. What is the highest common factor of 35 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 50, 92, 152, 236, 350?\n\"Answer: w**3 + 23*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + x + 43 = 27, 3*i = -4*x + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*(j*j\/(j*(j\/j**(-1))\/j)*j)\/j*j)**42 assuming j is positive.\nAnswer: j**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8.555, 0.2, 6, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000100010 (base 2) to base 7.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 142268\nAnswer: -1\/71134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 23*p - 49. Let u be s(2). Let k(y) = 3*y**2 + 9*y + 5. Calculate k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2, 1, 39, 8, 20, 11 in descending order.\nAnswer: 39, 20, 11, 8, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(62\/(-30) - -2). Let r(f) = 4*f**3 - f**2 + f. Let k be r(1). Let n be ((-10)\/(-4))\/(2\/k). Solve 0 = m + n*l + 25, -2*m - 3*l = 3*m + h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(252) + sqrt(7))*-2*-6.\nAnswer: 12 + 156*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 2*x**2 + 4*x**2 + (-4*x + 4*x - 2*x)*(-x + 0*x - 2*x) + 3*x**2 + 3*x**2 - 4*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3397 divide 338417146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 12*z**2 + 4*z**2 - 29*z.\nAnswer: -3*z**2 - 29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)\/(m*m**3))\/(m**(18\/11)*m**(-3\/11)) assuming m is positive.\nAnswer: m**(-169\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 3*p + 3*p)*(4 - 6 + 8) + 3*p + 0 + 0 as f + c*p and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-6\/5)*o*o**(-15)*o*o\/o**(1\/5)*o**15 assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 8 + 27)*(1 - 1 - 2)*(-2*k + 5*k - 5*k) + 1 - 1 - 2*k to s*k + c and give s.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494 by 247.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -31850.3174 to the nearest 10.\nAnswer: -31850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*j**3 - 28*j**3 - 32*j**3 - 25*j**3 - 35*j**3 - 25*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -118, 1 in decreasing order.\nAnswer: 1, -0.07, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/329 and -74\/35.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**6\/120 + l**5\/12 - l**4\/12 + l**3\/3 - 6*l**2. Suppose -2*m - t + 7 + 3 = 0, 25 = 5*m - 3*t. Determine a(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(12) - sqrt(300)*1))**2 - 5*(sqrt(3) - (sqrt(108) + -3 - sqrt(108)) - -3*sqrt(15)\/sqrt(5)).\nAnswer: -52*sqrt(3) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15162 and 534968.\nAnswer: 579370344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.51954*343.9\nAnswer: -178.669806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8 + j - 2 - 3 + 3 + 4*j. What is s(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 20999832*w - 110248236007056.\nAnswer: -(w + 10499916)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 287 + -222. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150920 rounded to the nearest one thousand?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34562 + 286980 = 56*n + 2342. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 3. Let r = -11 - -8. Let i(c) = -c**3 + 2*c**2 + 3*c + 5. What is the remainder when i(r) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 - -441. Let u = 708 - y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.6045ml in litres?\nAnswer: 0.0476045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/11))**(-17) assuming d is positive.\nAnswer: d**(-34\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q + 5967. Let p(g) = -37*g + 11950. Determine -11*o(d) + 6*p(d).\nAnswer: -2*d + 6063","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.1173.\nAnswer: 0.4692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-120)*-1*31\/(1302\/144)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 919.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 19812.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1115139 by -9.\nAnswer: -371713\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/26767 and 29\/8.\nAnswer: 214136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**5 - 267*u**4 - 18030*u**3 - 108552*u**2 + 3663072*u + 7620480 = 0.\nAnswer: -28, -2, 12, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -61*q - 362. Calculate l(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 - 4*u**2 - 12*u**3 + 11*u**2 + u**2.\nAnswer: 4*u**2*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/12*15\/10*-3. Put -1, -3, w, -5 in ascending order.\nAnswer: -5, -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 45*t + 14 + 92*t.\nAnswer: 137*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 - 231*a.\nAnswer: -231*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1254, -2507, -3760?\nAnswer: -5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/5 - 1534032*c**3\/5 + 196092242112*c**2\/5 + 627554082816*c + 2510294876160 = 0.\nAnswer: -8, 255680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(5*o - o**3 - 5*o) - 6*o**3 + 3*o**3 + 13*o**3 + (-2*o + 4*o - 4*o)*(-o - 2*o**2 + o) - 4*o**3 + 3*o**3 + 3*o**3 + 126*o - 33*o**3 - 126*o.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1 - 2. Let z = p - 2. Let v = z + 30. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12309 + 12859. What is the highest common factor of f and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*i = -27, -33 = 4*u - 4*i + 3. Let y(o) = 8*o - 11. Let a(t) = -t. Let l(h) = -5*a(h) - y(h). What is the remainder when l(u) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40\/203 + 345\/6902. Is u <= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 4*v**2 - 101*v + 718. What is the lowest common multiple of 354 and h(6)?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - 5*g + 6. Let s be r(4). Suppose -19*d**4 - s*d**4 + 12*d**2 - 17*d**3 - 11*d**4 - 111*d**3 - 4 + 22*d = 0. Calculate d.\nAnswer: -2, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/12)\/((-2)\/(-168)*2) + 8. Solve -15*a = 96 - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/33 and ((-639)\/(-12))\/(45\/2)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 15.98. Let y = -1 + 0.98. Let u = y + h. What is the second smallest value in u, 3, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860 divided by -86.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -144, 144, -5867.\nAnswer: -5867, -144, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -91*f + 455. Let q be s(5). Is -6\/3611 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1081 and 867?\nAnswer: 937227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Let d be y(-5). Let l = -163147\/18 - -9067. What is the common denominator of l and (-302)\/(-24) + d\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + a**2 - 4*a - 1. Let u(o) = -4*o**3 - o**2 - 27*o + 4. Let d(x) = 5*h(x) - u(x). Calculate the remainder when 98 is divided by d(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 + 0.03. Let q = -1.25 + 0.85. What is the second smallest value in j, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*d = -82*d - 1249405. Suppose -d = -p + 393119. Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, o: 9, f: 2, h: 1}. Give prob of sequence fh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikk when three letters picked without replacement from {i: 3, y: 1, x: 1, k: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 16) to base 3.\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2550, -5766, -9644, -14184, -19386, -25250, -31776?\n\"Answer: -331*p**2 - 2223*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 32 = -4*g - 7*w, -2*g = -3*w - 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220044 (base 5) to base 8.\nAnswer: -16544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*u + 191*u + 348 = 60*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 - -1.3. Let i = -0.28 + 0.3. What is the second biggest value in b, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 863045.7402 - 863129. Let l = s + 83. What is l rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1331047, -2662093, -3993139, -5324185, -6655231, -7986277?\nAnswer: -9317323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41962926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13*j**2 + 5*j - 7. Is m(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 143 in 0.5, -1\/2, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 34026558.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 49. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/3, 3.2 in decreasing order.\nAnswer: 3.2, 3\/8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -348 - -453. Let u = -21 - 54. Let a = u + h. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 1. Let y(p) = -40*p - 2. Let z(h) = 93*h + 6. Let q(a) = -7*y(a) - 3*z(a). Calculate 4*o(n) - q(n).\nAnswer: 3*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 bigger than -158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, -4, -2, 2231, -39, -5 in decreasing order.\nAnswer: 2231, -1, -2, -4, -5, -13, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 33*p - 8 + 3 to w + o*p and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 32. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543.25*-3.\nAnswer: 1629.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(2\/5))\/(o**0\/o)*(o\/(o**2*o))\/(o\/(o\/o**6*o)) assuming o is positive.\nAnswer: o**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119235\/2 - -58114. Let n = a - -1476. What is the common denominator of n and -18\/13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202176 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 9:48 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3*p + 7, -5*s - 10 - 10 = -2*p. What is the closest to -2 in -5\/3, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/(-84) + 1185\/21. Calculate the greatest common divisor of 70 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 24. Suppose n*r - 51 = 29. Solve 0 = -c - 3*l + 10, -5*l = -3*c - 50 + r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37\/((-1295)\/(-105))*(0 - (-1)\/(-9)). Which is the biggest value? (a) 62 (b) v (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8862?\nAnswer: 2, 3, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4608 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -22*j + 1. Is i(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 280, -1178, -2756, -4514, -6512, -8810, -11468?\n\"Answer: -10*m**3 - 1388*m + 1678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(110)\/sqrt(10))**2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**4\/12 - 3*w**3\/2 - 9*w**2\/2 - 4*w. Let m be l(-7). Let g be (-11)\/4 + 2\/(-8). Sort m, g, 2 in decreasing order.\nAnswer: m, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -2, -2\/333, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(891) + -3*(-1 + sqrt(11)) - (sqrt(99)\/(sqrt(27)\/sqrt(3)*2) + -1)) + 1)**2.\nAnswer: 66*sqrt(11) + 1475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 53*s**2 - 155*s + 83. Give a(-23).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17421655036 less than 0.096?\nAnswer: -17421655035.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -473*h**8\/336 + h**5\/60 - h**4\/12 - h**3\/2 - 16*h**2 + 7*h. What is the second derivative of n(y) wrt y?\nAnswer: -9460*y**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**4 + 3568*k**3 + 268572*k**2 - 14272*k - 1074352 = 0 for k.\nAnswer: -809, -83, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 288505360125.99 and 0.3?\nAnswer: 288505360125.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 18, o: 2}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3177.34? (a) 0.2 (b) -3 (c) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/14? (a) 0.3 (b) -5\/12 (c) 8 (d) -1\/23 (e) 0.03 (f) -1\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2898*o**2 + 2764*o**2 - 5705*o**2.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.2. Let v = 5 - 7. What is the closest to y in 4, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 18*w = 54. What is the hundreds digit of (-1864 - 1)*w\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 56*c = 4*l + 11, 2*l = -c - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*x - 53*x + 142*x - 290378 = 0. What is the highest common divisor of 44 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 + -47. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-2)\/8*4 - -177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290266 is divided by 143?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2224 (base 13) in base 5?\nAnswer: -123022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1182450 (base 9) to base 14\nAnswer: 12adb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j - 5. Let i(p) = 9*p + 9. Let x(b) = -6*i(b) - 11*k(b). Let s(q) = 5*q + 6. Calculate -s(r) + 6*x(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 6, a: 7}. Give prob of picking 1 a and 2 g.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7*m + m - 3.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j - 3*j**2 - 1\/3*j**3 - 1\/60*j**5 + 1\/8*j**4 + 0. Suppose -3*h + 7*h = 12. Determine y(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2931b (base 15) to base 6.\nAnswer: -2500342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24204, -29974, -35744, -41514, -47284?\nAnswer: -53054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2 - 3. Let p be v(0). Let f be (p\/12)\/((-3)\/(-8)). Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-216 + 109 + 107 - 549*m)*(4 - 5 + 3).\nAnswer: -1098*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 2*d**2 - 5*d - 4. Suppose 5*f - 2*c + 4*c + 25 = 0, 2*f - 9 = 3*c. Let x be h(f). Solve -x*g - 14 = g - b, 2 = -2*g - 3*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/77 in -1\/5, 2, 0.4, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178625 = 2*g - 5*a, -4*g = 2*a - 177898 + 535088. What is g rounded to the nearest one thousand?\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079034m in millimeters?\nAnswer: 79.034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (205 - 26*b**2 + 116 + 24*b**2)*(-3 + 3 - b**2).\nAnswer: 2*b**4 - 321*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 4*g**2 + 5*g + 3. Let d(x) = -x**2 - 5*x - 1. Let r be d(-2). Let c be a(r). Let q = -2 + c. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -11\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/1397 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50990 + -9626. What are the prime factors of h?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52010818?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001433 to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -503*n - 13073. Give u(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.3 (b) 0.61 (c) -1 (d) -167027 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 9*u**6\/10 - 23*u**5\/10 + 5*u**4\/12 - u**3\/2 - u**2 + 1967*u. Find the third derivative of x(h) wrt h.\nAnswer: 648*h - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by (-1)\/(-2 - (-105)\/56).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1360\/(-32) + 9\/6.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**28*z**(3\/5))**(-45\/2) assuming z is positive.\nAnswer: z**(-1287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 19959?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -635 in ascending order.\nAnswer: -635, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*l + 371 + 2577 + 177 = -3525 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 35. Solve 3*x = 2 - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 46168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*x - 63*x + 517440 = 33*x. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 10*y**2 - y - 16. Let a be r(-10). Let n be 20\/125*a\/(-4). Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 9. Let z = 9984 + -9989. Let x = -2\/7 + 20\/21. Which is the fourth biggest value? (a) 5 (b) z (c) n (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-604)\/(-12) + (-16)\/12 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 16*y - 3*c - 3 = 0, -8 = -2*y + c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1920 = 2*h, -2*h - 3*x - 3840 = -6*h. Let t = 1753 - h. Calculate the highest common divisor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/70 and 47\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -235\nAnswer: 118\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 666375 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1430 - 21?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**2\/5 - 721627*o\/5 - 240542\/5 = 0?\nAnswer: -240542, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 3 - 11 + 5*g**2 - 4*g**2 + 5*g**3.\nAnswer: 5*g**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/78182082 and 99\/8.\nAnswer: 312728328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -9. Let p be l\/(-49) - 74\/(-14). Let b(o) = 7*o. Let t(x) = 6*x - 22*x + 6*x. Determine p*t(w) + 7*b(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = -2120 + 2186. Solve 4*u + 2*m = -4, u - 4*u = 3*m + s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = -2*g + 5, 24 = -2*r + 4*g. Let m(h) = -h**3 + 7*h**2 - 6*h + 5. Let p be m(6). Sort r, p, -1 in decreasing order.\nAnswer: p, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37\/2 - -34. Let h = 15 - x. Suppose 4*p = 4 - 8. Which is smaller: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.808 and -151.\nAnswer: -4350.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18*3\/(-5))\/(7\/105) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + sqrt(11) + sqrt(44)\/sqrt(4) + -5*(sqrt(11)*2 - sqrt(11)))**2 + (sqrt(1331) + -1)*-5.\nAnswer: -79*sqrt(11) + 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b + 12*b - 192 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-7) + 1)\/(8\/14). Let t = 0.2 + 0.1. Let n be (2\/(-3))\/(8\/15). Put t, k, n in increasing order.\nAnswer: n, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zahazzaxahexhxae. Give prob of sequence heze.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 41*l - 8. What are the prime factors of c(2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -17. Let l(m) = 25 - 9 + 3*m + 7 + m**2 + 0*m**2 + 23. What are the prime factors of l(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 = -5*v - 4, -5*d + 6 = 4*v. Let t = 30150 + -90449\/3. Factor 1\/3*s**d + 0 - t*s**3 + 0*s.\nAnswer: -s**2*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*b**2 + 54*b - 54*b)*((3*b - 4*b + 0*b)*(-3 + 4 - 3) + 4*b - 4*b + 21*b + 4*b - b - 2*b) in the form n + g*b + s*b**2 + w*b**3 and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 499 - 355. Let r = n - 145. What is the biggest value in r, -1\/3, -2\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000956891207 to 6 dps.\nAnswer: -0.000957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6811?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12280127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2403 divided by -89?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17341 is divided by 214.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-128)\/(-6) + 10\/15. Suppose 3*r - 5*q - g = -q, 50 = 5*r - 4*q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -64323?\nAnswer: 707553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3315075ug to nanograms.\nAnswer: 331.5075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1 - w + 0*w + 5*w - 2*w. Calculate b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 283674904 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -1\/5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (33\/(-3))\/(5\/(-5)*1). Calculate the greatest common divisor of o and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -166, -160, -116, -22, 134?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*o - 657 = 0, -3*o + 3 = 9. Is 70 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192320.259 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5 + 247*p - 240*p + 7*p**2 + 2*p**3 - p**3. Let w be 132\/(-21) + (-4)\/(-14). What is r(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 10*m - 10. Let b be s(-6). Let z be b\/(-8) + (-69)\/92. Factor 9 - j**3 - 3*j + 0*j**2 - 7*j**2 - j**2 + 3*j**z.\nAnswer: -(j - 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q**2 - 5*q - 7. Let t(j) = -7*j**2 - 4*j - 6. Determine -5*t(a) + 4*v(a).\nAnswer: 3*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5546832253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -618 - -4?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 23 - 3. Let r be (-17)\/(-5) - 8\/20. Suppose r*t = -5*k - u, 4*k + t = -7 - 4. Put 5, k, -1 in ascending order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + -72. Find the third derivative of 0*x**4 + 155*x**2 - 7*x**4 - b - 157*x**2 wrt x.\nAnswer: -168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 324 + -328. Let q(h) = h**3 + 3*h**2 - 8*h - 5. What is q(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -10, 11, 56, 131, 242, 395, 596?\n\"Answer: k**3 + 3*k**2 - 13*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1834.4 greater than -3\/1357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.47*0.076181.\nAnswer: -0.03580507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 677717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(2*b - 4 + 4)*(-3409 + 3021 - 5414) in the form m + n*b and give n.\nAnswer: 23208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4073522.\nAnswer: 2, 157, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 56906643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 23554.158 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48660 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + j)*(-3 + 3 - 4*j) + (-1 + j + 1)*(-77*j - 75*j + 125*j) + (3*j + 4*j - 5*j)*(j + j - j).\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 39200.\nAnswer: 39200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345371.8l to millilitres.\nAnswer: 345371800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17842 - 53187 = -5*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 6*b**2 + 5*b + 2. Let p be i(5). Let c(s) = s**2 - s. Let z be c(-1). Factor 0*l - p*l + l**2 + 7*l**z + 4*l.\nAnswer: 2*l*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13772 + 4?\nAnswer: 13776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5129330 or -43?\nAnswer: 5129330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(7) - sqrt(7)) - (-1 + 2*sqrt(7)) - (sqrt(343) - (sqrt(343) + (2*sqrt(343)*5 - sqrt(343)) + sqrt(343))))**2.\nAnswer: -408*sqrt(7) + 32377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17\/3, -5, 2, 125, 0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -18. Suppose -p + 14 = 2*x - 0*x, 0 = -d*x + 2*p + 2. Suppose 2*l - 4*l - x*j = -205, 5*l - 435 = 3*j. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 594*c + 10806. What is the smallest common multiple of u(-17) and 12?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -5*a + 3*o - 0*o, -4*a - 3*o = 30. Let u(z) = z**3 + 9*z**2 - 4*z - 7. What is u(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3500024 + 0.35. Round u to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 - -489. Let c = d + -408. What is the third derivative of -4*s**2 + c - 227 - 25*s**5 wrt s?\nAnswer: -1500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2*y)**(-41)*(y**(1\/2)\/y)**(1\/29))**(9\/7) assuming y is positive.\nAnswer: y**(-64215\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.99 - -0.01. Let f(i) = -i**3 + 4*i**2 - i + 4. Let n be f(4). Let z = 100 - 100.4. Which is the second smallest value? (a) l (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 620524065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/21))\/q*q*q*q*q**(-3\/14) assuming q is positive.\nAnswer: q**(113\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 342776 = -343370 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 15) in base 7?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3060 and 252144?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.30558 + -0.01305. Round j to 3 decimal places.\nAnswer: 0.293","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/108*(-27)\/198)\/(1\/(-3)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((6\/(-153))\/(10\/(-5940)*11*-12)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 27*k + 58. Let r be a(-25). Suppose r*x - 3*x - 5*u = 43130, -25 = 5*u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424 divided by 8\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*p + 399 = 223*p - 316 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (77532\/355)\/78?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 146816*g + 4751. Is l(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 3:52 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -629\/13?\nAnswer: -629\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10226601 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v**3 - 1. Let u be h(2). Let f = 94 + u. Calculate the least common multiple of f and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 27202, 3\/107, 1?\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**5 - 185*f**4\/3 - 920*f**3 - 9140*f**2\/3 - 2400*f + 3520\/3 = 0.\nAnswer: -4, -2, 1\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -175 * -1.3\nAnswer: 227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/6 - k**3\/2 + k. Suppose -36*q - 11 = 9*q - 146. Calculate f(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5251 (base 11) to base 14\nAnswer: 2769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**5 + 5*s**4\/2 + 5*s**3 - 20*s**2 + 20*s - 12. Solve y(g) = 0 for g.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(2 + 0 - 8) - 0. Let s(y) be the third derivative of -y**5\/60 - y**4\/4 - 3*y**3\/2 - 8*y**2. Calculate s(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 748 + -746. Let x(t) be the first derivative of -z*t**3 + 0*t - 9\/2*t**2 + 9. Find the second derivative of x(u) wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:34 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 145? (a) -1\/7 (b) 1\/3 (c) -1.0055 (d) 3 (e) -5 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5716b (base 13) to base 2.\nAnswer: 100110101011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45761 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61359*d**3 + d - 102250.\nAnswer: 368154*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j**2 + 12. Is b(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1)\/c*c**2)\/((c\/(c\/(c\/c**(-6)*c*c*c))*c)\/(c**(-1\/12)*c)) assuming c is positive.\nAnswer: c**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/572 and -7\/42744.\nAnswer: 470184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32987.8 micrograms?\nAnswer: 0.0329878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 28150.3.\nAnswer: -56300.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f\/(f**(-4)*f))*f\/(f\/(f\/(f\/f**(1\/6))*f)))\/(f**9*f\/f**(2\/23)) assuming f is positive.\nAnswer: f**(-1897\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18830 and 560?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -5511.42?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.844 + 4.0441. Let j = l - 0.214. Round j to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-0.02\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + 30340021?\nAnswer: 30340301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.8 - -4.646.\nAnswer: 0.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.95 + -3.44. What is t rounded to one decimal place?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 186385 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuvuuuuuuuu. What is prob of picking 1 v and 3 u?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270054 divided by -9?\nAnswer: -30006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + k - 1 + (3 - 5 - 4)*(-4*k + 4*k + 3*k).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 3*b**2 + 2*b - 3. Give s(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.179863258 + 766.687?\nAnswer: 766.507136742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1687577, -3375161, -5062745, -6750329, -8437913?\n\"Answer: -1687584*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -868, -1308, -1752, -2200, -2652?\nAnswer: -3108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 t, and 1 g when four letters picked without replacement from mtmtmggmmttmmtgm?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55309 and 513?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21+-75783887\nAnswer: -75783866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 175*m**2 + 447*m - 447*m.\nAnswer: -175*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 1. Let u(c) = -c + 1. Suppose 6*a - a - 50 = 0. Suppose -10 = -2*z, -4*w - 3*z = -z + a. Let b(x) = w*n(x) + 6*u(x). What is b(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 k when three letters picked without replacement from uukkkk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736 - 2425 = -83*n - 26*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let j(b) = -1122*b. Give j(w(a)).\nAnswer: -1122*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-4)\/8*-1. Let h be ((-8)\/m)\/((-5)\/10). Does 8 divide (8 - h)\/((-2)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5337 or 7014?\nAnswer: 5337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h, 9*b - 10 = 4*b + 4*h. Suppose 18 = 3*k + 2*u, 0*k - 5 = -b*k + u. Solve -x - k*l = -4*x + 22, 0 = -4*x - 5*l - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3437129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15013 + 14995. What is the nearest to s in -4, 1\/63, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 653, 1311, 1957, 2585, 3189, 3763, 4301?\n\"Answer: -w**3 + 665*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -101?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11245 to three dps.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*5112\/3195.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 7*u**2 - 8*u + 10. Is x(-7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 17*l - 5. What is q(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(91) - ((-1*sqrt(91) - sqrt(91) - sqrt(91)) + sqrt(91) + sqrt(91))) + (1*sqrt(91) - sqrt(91))*-5)\/(-5*1*1*1*sqrt(7)).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 530101 - 136?\nAnswer: 526632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + 2*w)*(-3*w**2 + 5*w**2 - 6*w**2)*(w**2 + w**2 - 3*w**2).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -12.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-2 - (1 - 1)). Suppose 3*s = 3*q - 60, 35 = 3*q + f*s - 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89470.\nAnswer: 2, 5, 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 6, -u + 2*u = -3*o + 33. Suppose 0 = 8*f - 5*f - 3. Suppose z = -4*h + o, -f = -z - h + 9. What is the highest common divisor of 40 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**3\/2 - v**2\/2 - 5*v. Suppose 0 = -4*d + 3*q + 13, -3*d + 5*q + 3 = -d. Let j = -2 + d. Determine i(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6502 millimeters in meters?\nAnswer: 0.0016502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(-1)*r*r*r\/(r*r**(-4\/19)\/r))**(-5\/3))**(-2\/101) assuming r is positive.\nAnswer: r**(330\/1919)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-3*p**2 - 9*p**2 + 3*p**2)*(-1 + 3 + 0 + (-2 + 0 + 0)*(-5 + 0 + 3) + 1 + 0 - 3)*(3*p + 4*p + 6*p).\nAnswer: 468*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/13 (b) 2\/5 (c) 12\/7 (d) -1868 (e) 0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 6. Suppose 0 = -i + 5*i + u - 7, 0 = -3*u + 9. Let j(b) = -b - 1. What is i*x(v) - 3*j(v)?\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -s - 5*a - 1, -s = 3*a + 9. Solve -2*f - 4*q + s = -7*f, 4*f + 4 = 4*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + -0.05. What is the second biggest value in 2\/5, 3, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9751.4 times -22?\nAnswer: 214530.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (2 - -9) + -1. Let o(x) = 2*x**2 - 11*x + 6. Let f be o(j). Does 12 divide f\/18 - 102\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 186\/23, -7, 35, -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftstfsstt. Give prob of sequence sst.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 10. Let y be c(9). Let n be (-52)\/(-14) - (-4)\/14. Suppose -150 + y = -3*r - n*z, 0 = -r + 2*z + 57. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1 + 5447*x**2 + 5449*x**2 - 1 - 10886*x**2. Let g(h) be the first derivative of 9*h**2\/2 + 14. Give g(s(w)).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 8, -1 in descending order.\nAnswer: 8, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 210281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 160782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3067*b + 181 + 457 + 3064*b - 248 - 229*b**4 + 344 wrt b.\nAnswer: -916*b**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-129)\/172)\/((-15)\/6) + (-536)\/320)*-3.\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from ladigww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = 97*k - 46*k - 666 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/12*-1)\/(3\/(-18)). Let a = -2\/2201 - -72637\/4402. Find the common denominator of a and (-2)\/((-32)\/o)*2220\/(-50).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 30. Let f(i) = -i**3 - 8*i**2 + 7*i - 18. Let l be f(d). Suppose -6*c + 8 - 2 = l. Solve -3*o = -2*q - 10, -5*q + c = -o - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 19135858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 35340 = 20386. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.941 - 5.941. What is the biggest value in u, -2, -2\/35?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3559 + 16573?\nAnswer: 20132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-1)\/(4*sqrt(16)\/sqrt(2)))**2 - sqrt(55)\/(sqrt(22)\/(sqrt(6)\/sqrt(3)))*1.\nAnswer: -sqrt(5) + 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:34 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5315558 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*(sqrt(36)\/sqrt(144))\/sqrt(2) - (3*sqrt(288)*2 + sqrt(288) - (sqrt(288) - -6*2*sqrt(288) - sqrt(288)))**2).\nAnswer: 25*sqrt(2)\/4 + 36000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17323353 + 102*u**2 - 103*u**2 - 17323353.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (3*3*sqrt(68) + sqrt(68)))\/(4*sqrt(256)).\nAnswer: -9*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2 = -5*m, -5*x - 1 = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 11. Let t(g) = -4*g**2 - 5*g - 42. Let b(w) = -2*w**2 - 2*w - 19. Let z(p) = 5*b(p) - 2*t(p). Calculate -4*i(x) - 5*z(x).\nAnswer: -2*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*h + 20*h - 8*h + 18)*(2 + 2 - 5) as d + f*h and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 61\/4 of a millisecond?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 53*b - 361. Let n(v) = 46*v - 363. Let o(m) = 5*h(m) - 6*n(m). Give o(33).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1092 and 392.\nAnswer: 15288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - (12 - 5) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(486) + 2*sqrt(486)) - (sqrt(156)\/(sqrt(12)*-2)*6)**2.\nAnswer: -117 + sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70528 by 3.\nAnswer: -70528\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**2 - 94*x + 13. What is the remainder when w(11) is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + -1 - (-9 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*z - 38, -4*l - 1 + 33 = -2*z. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*q - 43*q = 49*q - 4883571. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1211)\/(-519))\/((-22)\/(-12) - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 11. Let k be r(5). Let l be (0\/2)\/(-4)*k. Which is the nearest to l? (a) 0.2 (b) 2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-8)*(-7 + (7 - 4)). Let o(t) = -2*t**2 - t - 3. Calculate o(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2, 5*s - 4*z = 2*s + 25. Let x(l) = -5*l**2 - 7*l**3 + 8*l**3 + 4 + l + 3*l. What is the remainder when s is divided by x(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:38 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.27134*2\nAnswer: 0.54268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3, -21, -5 in ascending order.\nAnswer: -21, -5, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1418872 divided by -15592\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -14. Calculate the highest common factor of p and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) 2\/13 (b) -1 (c) 2\/9 (d) 3 (e) -94074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 5*q**2 - 6*q + 6. What is s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 544a10 + 2?\nAnswer: 544a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**4\/12 - 13*a**3\/2 - 92*a**2 - 50*a + 1. What is the tens digit of f(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = 5. Let g = -76 - -80. Suppose g*x = 5*h + 58, p*x - h - 50 = -x. What is the remainder when 47 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 5597.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 5995500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at least as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.115 and -0.3?\nAnswer: -0.0345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 5*c + 5. Let y = 0 - 5. Let x = 18 + -9. What is the remainder when x is divided by a(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*d - c, 4*c = -4*d + 45 + 23. Let n = d - 8. Suppose n*i - i - 81 = 0. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**4 - 4*l**3 - 306*l**2 + 2222*l wrt l.\nAnswer: 12*l**2 - 24*l - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - 1. Let x = -17 - q. Which is the closest to 2? (a) 5 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(-a + 5*a - 5*a) + (13 - 13 + 3*a)*(10 - 1 - 1) + 2*a - 1 + 1 to f + t*a and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 626140 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61596 + 309*s - 61596.\nAnswer: 309*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i - 8. Let p be o(6). Suppose -15 = -j - 3*y, 0 = -y - p*y - 10. Let d be (-32)\/(-14) - 6\/j. Solve -4 = d*b + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 44.69, 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 57*w**3 + 4 + 68*w**3 + 86*w**4 - 163*w**4 + 79*w**4 as l*w**3 + u*w**4 + c*w**2 + q + v*w and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -531.33155718 and 7762?\nAnswer: 8293.33155718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4425 + 12121 = 273*l + 122*l + 351 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q + 37952. Let p(n) = -n + 6323. Give 23*p(y) - 4*w(y).\nAnswer: -3*y - 6379","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eddssdzseeddesessd. What is prob of sequence ddd?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7*z = -18. Calculate the smallest common multiple of z and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -7*w + 33. Let v(n) = -2*n. Calculate k(v(i)).\nAnswer: 14*i + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 - 8)*(-1 + 1 + 5)*(4*q - 2*q - 4*q) + (1 - q - 1)*(3 + 5 - 2))*(-q - 4*q + 3*q).\nAnswer: -128*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/129, 74, -97, 0?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 8. Suppose 0 = -3*l - 5*z - 2 + 1, 0 = -l + 5*z + 13. Solve b = l*b - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in 0, -4, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -386449, -386384, -386321, -386260, -386201, -386144?\n\"Answer: -j**2 + 68*j - 386516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r + 26 + 2*r**2 - 60 + 31. Let z(q) = q**2 - 5*q - 2. What is 3*o(c) - 5*z(c)?\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45510 - 45510.00000033451. Round u to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-15 - -23) + 3 + -51.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 506*m**4*n - m*n*z - 35*m*n - 570*n + 93*z - 1 wrt m.\nAnswer: 2024*m**3*n - n*z - 35*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9)*3 + 1172\/112. Let m = 51\/4 - o. Sort 4, -4, -1\/2, m in decreasing order.\nAnswer: 4, m, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6088619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 140 + -0.0626999.\nAnswer: 139.9373001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(468)*-3*5 + (sqrt(468) + 0)*1.\nAnswer: -84*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6*1*(-13 - 3105\/(-240))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 5:32 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1173 is divided by 167.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -7.1.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*f - 13. Suppose 0 = h - 2*c - f, 0*c = -2*c + 8. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 189*c**2 - 405*c + 205. Let q(i) = -i**3 - 2*i**2. Let d(z) = -k(z) + 3*q(z). Factor d(y).\nAnswer: -5*(y - 1)**2*(y + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a - 6*a + 6*a + (3*a - 2*a + 0*a)*(-15 + 20 - 16))*(-4*a + 2 - 2 + (1 - 1 + 1)*(-a + a - a)).\nAnswer: 85*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 + 9*c**2 - 5*c - 3*c**2 - 9*c + 0*c**2.\nAnswer: -c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37078153 or -37078148?\nAnswer: -37078153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + (5 - -2 - 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5739 - -5736. What is the third smallest value in 3, 0.65, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 52 - 20. Suppose 3*a + 5*v + 19 = 4*a, 4*v + w = 3*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56694 and 396.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - 23 - -12) + 21?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 2\/7, -0.5, 221, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (708\/2124)\/(((-36)\/(-9))\/684)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2748197.8*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in -2\/67, -2\/3, -111, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + (2 + sqrt(75) - sqrt(75))*6 + sqrt(75))**2 - (-6*sqrt(72)\/sqrt(2) - sqrt(36))\/(-3*sqrt(1728) + sqrt(1728)).\nAnswer: -1986 - 23047*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -12)*(-25)\/30. Solve 3 = y + c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -101.74.\nAnswer: -50.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 26. Let n be f(-4). Suppose -2*y = 3*y - n. Solve 11 = 4*p + 3*c, -y = 2*p - 3*c - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -5, 1, -49515 in increasing order.\nAnswer: -49515, -9, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2352, -2413, -2568, -2829, -3208?\nAnswer: -3717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 1, w: 3, q: 2}. Give prob of picking 1 q and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17866754, -17866750, -17866746, -17866742?\n\"Answer: 4*v - 17866758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*12\/(-20196)*-66?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8432 - 19098479\/2265. Is z not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17914 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-140)\/30)\/((4\/14)\/((-42)\/98)). Determine m so that m**2 + n*m + 8 - 1\/4*m**3 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/((-910)\/16)*42\/30.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27538 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:49 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6573141 to the power of 1\/2, to the nearest integer?\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3969.015 nanometers to meters.\nAnswer: 0.000003969015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97722598, -97722608, -97722626, -97722652, -97722686, -97722728, -97722778?\n\"Answer: -4*b**2 + 2*b - 97722596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/121 (b) 0.5 (c) -0.4 (d) 142 (e) 2\/7 (f) -5 (g) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + sqrt(847)*-4 + -3 + 4.\nAnswer: -44*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 37770*o**3 - 37752*o**3 - 18.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 194\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t - 4*t + 2*t)*(-303 + 35*t + 303)*(-2 + 15*t + 0 + 1) to the form a*t**2 + s*t + o + r*t**3 and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38516567*q**2 + 22*q + 399787 wrt q?\nAnswer: -77033134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96033695*f - 391962979 wrt f?\nAnswer: -96033695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**5 - 146*g**4 - 116*g**3 + 38*g**2 = 0.\nAnswer: -1, 0, 1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(-1\/4))\/(q\/(q*q\/q**(-2\/23))))**3\/(q**(-12)\/(q\/(q**(3\/11)*q)))**(2\/15) assuming q is positive.\nAnswer: q**(73747\/5060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5201533729.\nAnswer: 7, 4943, 150329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 4*o + 3. Let d be f(-2). Let c be ((-26)\/6)\/(d\/27). Let j = -157\/4 - c. What is the second smallest value in 0.4, 2.3, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/(-91)*266\/57.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6676590983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 162158011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2975)\/5)\/(-7) - -1. Let s = 122 - g. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-32))\/3)\/(2\/12)*(-108720)\/3020?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 133*j**2 + j. Let a(k) = 135*k**2. Give -3*a(g) + 4*m(g).\nAnswer: 127*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.6, -1, -262, 1\/4, -4, 40, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(57)*-5)\/(sqrt(9)\/sqrt(3)*-1))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*d - 20. Solve 10 + 6 = -d*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-66)\/(-24) + -4 + 1. Suppose k - 16 = -3*k. Which is the second smallest value? (a) k (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10609 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3799, -3773, -3721, -3631, -3491, -3289, -3013?\n\"Answer: 2*i**3 + i**2 + 9*i - 3811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 137*x**2 - 2*x - 2. Suppose 115 = -v + 119. Let c(i) = 1. Let w(j) = v*c(j) + k(j). What are the prime factors of w(1)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.192 + 3879785?\nAnswer: 3879788.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 11}. What is prob of sequence smmm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220630010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117)*1 - sqrt(117))*3 + sqrt(117))\/(sqrt(225) - sqrt(225)*4))**2.\nAnswer: 13\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 - 2*g**3 + 2*g**2 - 1)*(71 - 427 - 21) to w*g**2 + z*g + h + j*g**3 and give j.\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 281 - 276. Solve -k*d = -0*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35.6 (b) -3\/2 (c) 1\/577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*z + 3*o = -317*z, 0 = -2*o + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 1641*g**2 - 129465*g - 2776275.\nAnswer: -3*(g + 45)**2*(g + 457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1301649+0.89\nAnswer: 1301649.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5785\/(-356))\/(156\/288).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 54, 96, 154, 234?\n\"Answer: h**3 - h**2 + 28*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 + -2356\/9. What is the biggest value in 4, 1, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 1.7. Let c = w + -51. What is the smallest value in 2, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163914 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -16) + 20 + (9 - 24)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.041 times 27\nAnswer: 1.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*988\nAnswer: 197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31824 is divided by 314?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from uuuhhhhhuhhhhh?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284328 by 15796.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4 - 6458*j**3 + 8778*j**2 wrt j?\nAnswer: 24*j - 38748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (129908\/3455)\/(1\/255). Calculate the highest common divisor of i and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**2 - g. Calculate f(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(190)*-1)\/(sqrt(90)*5).\nAnswer: -4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -698 + 698.41. Let n = -8643.259 - -8643.6690003. Let y = n - x. What is y rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3)*(-9)\/(-2). Suppose -3*r = -4*r + 1. Let z(n) = 5 - n - c + r. Let p(s) = 3*s. Determine p(z(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 15*t**5\/2 - 552*t**4 + 5010*t**3 - 15549*t**2 + 36477*t\/2 - 7155 = 0.\nAnswer: 1, 3, 5, 318\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1718968 - 375125. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) 3\/5 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35\/186 - 9\/62. Is 0 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*b + 20 = 0, 17791*b + 24 = 2*z + 17793*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.1 * -286071.\nAnswer: -1458962.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - -16. Suppose -8 = g - c. Let b = 461 - 416. What is the greatest common divisor of b and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18265 + -18263. Which is the third smallest value? (a) 2\/441 (b) -0.5 (c) m (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + 2*(4 - 6). Suppose -2*u + m*u + 2*c = 30, -4*u + 105 = 3*c. Solve 3*k - u = -9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 5*m**2 - 6*m - 2. Let d be ((-3)\/1 + 4)*-6. Let j be f(d). Put 1, j, 3 in decreasing order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285163?\nAnswer: 191, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 f when four letters picked without replacement from ifffffifffifif?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + (10 - 20) - 22\/(-11). Let d(c) = -2665*c**3 - 130*c**2. Let x(w) = -62*w**3 - 3*w**2. What is j*d(p) - 130*x(p)?\nAnswer: 65*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**2 - 15*o + 18. Determine t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) -5 (c) 4\/89 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*36\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -99 * 0.1\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 488296, 976891, 1465474, 1954039, 2442580, 2931091, 3419566, 3907999?\n\"Answer: -d**3 + 488602*d - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.2 - -8.2. Let a = -9.3 + 17.5. Let q = 8 - a. What is the closest to 0.1 in v, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from ttgtttttg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - 58\/(-6). Let d = -8 + l. Let t = d - -7. What is the highest common factor of t and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957983361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7546 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 - -136. Let m = -26 - -51\/2. Let i = 0.3 + 0.7. Which is the closest to i? (a) m (b) 0.5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10002 - 1?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) 1 (b) 6 (c) -574\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 20*m. Let r be x(-20). Solve r = -190*w + 195*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*o = -26*o + 50*o - 1469 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 7 + 6)*((r**3 - 2 + 2)*(-4*r + 0*r + 2*r) + 0*r**4 - 3*r**4 - r**4) to the form y + v*r**3 + m*r + n*r**4 + w*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 89. Calculate the greatest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 15. Suppose -13 = -y + 2*d, 0 = 5*y - 3*y + 4*d + 14. Suppose -4*m - x*t = -y*t, 4*t = m. Solve 2*z - 4*z - 6 = m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 10)*(3*h + h - 3*h) + 200*h + 859*h - 381*h to a + z*h and give z.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s + 7*s + 13*s in the form q + l*s and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 70*d + 2551. Calculate v(-36).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 6*j - 112189\/2.\nAnswer: (j - 341)*(j + 329)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -130516310 (base 7) in base 6?\nAnswer: -454225222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 16382?\nAnswer: 1637b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36033*x - 36039*x + 107904*x - 35850*x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -925356477*l*x**3 - 2563318*l*x + 8*l + 9*x**2 wrt x.\nAnswer: -5552138862*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220 + 407. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(3 - (2 + 0)). Let s = o + 9. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 121*b - 5192. Does 79 divide j(67)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 38*i + 12. Let g be j(0). Solve 2*d = -4*v + g, 0 = 9*d - 5*d - 4*v + 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 - -1.98. Let n = -2.3 - t. Put -8, -2\/5, n in descending order.\nAnswer: -2\/5, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, w: 1, h: 6, f: 2}. What is prob of sequence hh?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -530664732.1?\nAnswer: 530664732.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f - 5. Let s(z) = -16*z - 3. What is -8*l(a) + 6*s(a)?\nAnswer: 8*a + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -15. Solve 4*k + v*o + 8 = 0, -k + 0*o + o = -2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 20 + 20)*(2 - 1 - 2)*(-3 + 1 + 4).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26 + 0 - (6 - 7). Suppose -6 = n*v - 30*v. Suppose o = -v*j - 34 + 5, 2*j + 19 = o. Which is bigger: j or -13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 9:50 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 966.3939 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. What is the second biggest value in r, -3\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 47*t - 5*t + 516 - 6020 = 0 for t.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {a: 9, i: 1, m: 3, b: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 a factor of 181002331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33745426 divided by 3067766.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 17007784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d - 6. Let q(a) = -5*a - 5. Calculate 6*o(g) - 7*q(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 22931.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/6*3\/((-18)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/13, 1, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**2 + 4*t + 25. Let r be i(-2). Solve -3*l + 29 = r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78260.013 - -78202. Let n = a - -0.013. Let r = n + 57.6. Sort 4, -3\/2, 0.5, r in ascending order.\nAnswer: -3\/2, r, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 * -145.219.\nAnswer: 12343.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 + n**3 - n**3 + (3 + 2*n - 3)*(n**2 + 0*n**2 - 2*n**2))*(53 - 47 - 41) to the form s*n**2 + x*n + o*n**3 + y and give o.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**3 + 20*b**2 + 46*b - 155. Let q(k) = 2*k**3 + 7*k**2 + 15*k - 51. Let f(o) = -8*q(o) + 3*x(o). Let m be f(3). Solve 29*l = 23*l - m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 626427.\nAnswer: 626427.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 3*r - 7 + 3 + 3*r - 1. Suppose 5*w - 25 = -x, -5*x = -5*w + 2*w + 43. What is z(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 4.3, -1, 1.8, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44961*i = 44943*i + 36. Suppose -4*q - 1\/2*q**i + 0 = 0. What is q?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllmkklmdmd. What is prob of picking 2 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -8*p**3 - p**2 - 5. Let y(b) = -4*b**3 - 2. Give -2*h(f) + 5*y(f).\nAnswer: -4*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1 + (-32 - -27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/525)\/(42\/2268)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 202006 and 171920.\nAnswer: 8080240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -4, -0.27, 4, 266, 5 in increasing order.\nAnswer: -4, -0.27, 4, 5, 30, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 90514.35 kilograms?\nAnswer: 90514350000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 511618019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/8*3*(-5)\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**7*g)*g*g*g)\/g*g)**(-40)*g**(2\/19)\/g**(-9) assuming g is positive.\nAnswer: g**(2453\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 94 = -36. Let j be 2\/4 + (-13)\/f. Sort j, -1, 5, 12 in descending order.\nAnswer: 12, 5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/264)\/(2\/4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 3. Let r be (1\/2)\/(1\/6). Let t = r - i. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -751798 or -751773?\nAnswer: -751798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8249, -14650, -21051?\n\"Answer: -6401*y - 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 39, 90, 141, 192, 243?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilogram in grams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13829396 and 1484.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*i**2 + 15*b**3 - 61*i**2 - 3 with respect to i.\nAnswer: -4*b**3*i - 122*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j + 8 = 0. Let u = 3 - 2.6. Which is the third biggest value? (a) u (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-24)\/(-60)*5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -16*t + 84. Let b be t\/4 + 18\/(-12). Suppose 0 = -s - 5*l - 18, s + s = -5*l - 16. Solve -o - k = s*k - 5, 0 = -3*k + b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*p + 118 = -20. Solve -3 = p*g, -3*g = -4*q - 5 - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 30 = -5*i - 2, -q = 3*i + 6. Let f(z) = -z**2 + 7*z - 4. Let j be f(q). Is 1.3 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139 + 203 - 144)*(-4*c**2 + 1 + 2*c**2 + 0*c**2).\nAnswer: 160*c**2 - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 807, 1234, 1663?\nAnswer: 2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55 - (-10 - -5)*-1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289100?\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/16 + 13\/(-2))*4\/24. What is the second biggest value in k, -15, -4, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:51 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5509.02 tonnes?\nAnswer: 5509020000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109955526.\nAnswer: 2, 3, 3947, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -498*w**2 - 4139*w**2 + 4186 - 317*w + 317*w - 214*w**2 wrt w?\nAnswer: -9702*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 4*z**2 - 61*z**2 + z + 0*z**2 + 4*z**2 - 2*z**2 + (-z**2 + 3*z**2 - z**2)*(-1 - 3 + 2) + z**2 - 5 + 5.\nAnswer: -64*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, -0.4, 3.\nAnswer: -13, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 191084077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-136 - -4)\/2. Suppose 2*n - o = 112. What is the greatest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x\/x**4)*x*x*x**(-1)*x)**8*(x**(1\/3)\/x)**(-35)\/((x*x*x\/(x*x\/x**(-6)))\/(x*x**5*x*x)) assuming x is positive.\nAnswer: x**(301\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6037000 to the nearest 100000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 5*i - 320*i**3 + i**2 - 2*i**2. Let k = -3 + 2. Let c be h(k). Round c to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1326\/(-39015))\/((-210)\/125 - -2) and 121\/714.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -13260.\nAnswer: -7\/2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 6*l + m + 15 = 0, m + 5 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 6) to base 5.\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (21 - 22)\/((-5)\/5745).\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/517 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -820, -914, -1000, -1078?\n\"Answer: 4*s**2 - 106*s - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 - -1?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 3*t**2 + 2*t - 5. Determine i(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g**2 - g - 7. Let x be t(-3). Suppose -7*p + x + 493 = 0. Let m = p - 71. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/5 + (-1)\/(-5). Let k(q) = t*q + 8 - 8. Let b(f) be the second derivative of f**4\/6 + 2*f. What is b(k(l))?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35338, -141326, -317962, -565246, -883178?\n\"Answer: -35324*n**2 - 16*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 11:49 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 1968\/5*k - 402\/5*k**4 - 56 + 2*k**5 + 382*k**3 - 3206\/5*k**2 = 0.\nAnswer: 1\/5, 1, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1024884837.20000067 - 1024884827. Let t = -10.2 + w. What is t rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46732574 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-28))\/((-6)\/114).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x = -3*s + 46*x + 501, x - 668 = -4*s. What is the remainder when 181 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155125643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 + 200. Suppose 3*s = 2*g - 2 + 10, -p*s + 1 = 5*g. Put -3, s, -1 in descending order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, x: 1, r: 1, m: 1, p: 1}. What is prob of sequence mxp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411385429.\nAnswer: 3, 937, 857839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 351*a - 111. Let t(k) = 174*k - 54. Determine 10*s(y) - 21*t(y).\nAnswer: -144*y + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.21 + 30.79. Let p = -31.52 + s. Round p to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + a**2 + a - 1. Suppose 21*d + 27 - 111 = 0. What is g(d)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 93425*s - 8*s**4 - 2*s**3 - 189*s**4 - 93425*s - 6 to w + u*s**3 + m*s**2 + t*s**4 + n*s and give t.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*z - 4*z + 49, 3*z = -t + 14. Let g(i) = i**2 - 17*i + 2. Let v be g(t). Suppose v*p - p = 2. Calculate the least common multiple of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1635, -3, -1, -17, 1, 0 in ascending order.\nAnswer: -1635, -17, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -bb0b (base 12) to base 5\nAnswer: -1124403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*r + 2*r + 0*r)*(5 - 3 - 3) in the form c*r + a and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**5 - 211*s**3 + 230*s - 1 wrt s.\nAnswer: 20*s**3 - 1266*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 449 times 3\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 5*d + 2*o, 5*d = d - 3*o + 132. Let m be d*-1*(-4)\/3. Suppose 0 = 3*u - m + 18. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-3 + 22 + 16)*(2*y - y - 3*y).\nAnswer: 140*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(3*(-1)\/(-6)). Let l be 3\/(-12) - (-100)\/j. Solve 0 = l*a - a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15289 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(121)*2*6 - -4*(sqrt(121) - (sqrt(121) - sqrt(121)*2)))\/(-4*(-1*sqrt(539) - sqrt(539) - sqrt(11))) + 4)*2.\nAnswer: -24 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let p(v) = 6*v**2 - 11*v + 9*v**2 + 3*v. Let z(w) = 46*w**2 - 3*w - 15*w**2 - 18*w**2 - 8*w**2. Let f(b) = 3*p(b) - 8*z(b). What is s(f(t))?\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1118, 5, 1250, 3\/2, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-67 + 26 - -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(-l + 1 - 1)*(-58 - 8*l + 58).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*a*c**3*f - 43*a*c*f**2 - 3*a*c*f - c**3*f + c**2 - 2924*c*f**2 wrt a?\nAnswer: 15*c**3*f - 43*c*f**2 - 3*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13236358.6 rounded to the nearest one thousand?\nAnswer: 13236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-5)*3\/6. Suppose 809*t + 2*o + 30 = 804*t, -2*t = 9*o + 53. Which is the fourth smallest value? (a) j (b) -9 (c) 0.4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 701 - 682. Calculate the remainder when 69 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 192 = -7*v. Let h be (-60)\/v*4\/(-3). Suppose -1\/3*d**h - 4\/3*d**2 - 2*d**3 - 4\/3*d**4 - 1\/3*d + 0 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - 36*h**2 + 14*h - 107. What is the tens digit of c(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 535 - 470. Let y = 105 - g. Calculate the highest common factor of 140 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223622.313 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -502, -957, -1370, -1735, -2046?\nAnswer: -2297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123143687?\nAnswer: 31, 3972377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 5. Let i(a) be the third derivative of 4*a**2 + 1\/8*a**4 + 0 + 0*a + 3*a**3. What is -5*i(m) - 18*q(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 31, 105, 239, 451?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 49. Suppose -h = 3*l - 26. Solve -g - 5 = -l*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 162*n**2 - 320556*n + 202362328 wrt n?\nAnswer: 324*n - 320556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-549)\/54 - 35\/105.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/7 - 16 - (16 - (33 - 10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156777641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8062*l**2. Let m(u) = u**2. Calculate m(b(i)).\nAnswer: 64995844*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:15 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, l: 2, x: 2}. What is prob of picking 2 l?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3089 = -y + 2*g, -2 = 2*g. Let c = 1748 - y. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from {i: 6, k: 7}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39402, -39496, -39590?\nAnswer: -39684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*a + 109. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*k + 438, k + 4*z = 3*z - 109. Let m be (k\/(-30))\/(1\/(-3)). Let p = m - -8. Is 1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/7 - 1635*i\/7 + 68862\/7.\nAnswer: 3*(i - 499)*(i - 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1863 and 81.\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-1 + -6 - -7) - 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 15 - 3 = 0. Suppose a*t = 6*t - 15. Solve 5 = -2*q - 3, -4*q = t*k - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 218*i + 1815. What is b(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46*-22.78.\nAnswer: 10.4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.84 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 49 = 5*g, -5*i + 5*g + 160 = -0*i. Let x = i - 22. What is the remainder when 37 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 + 0*h**3 + 1\/40*h**5 - 1\/84*h**7 - h + 0*h**2 + 1\/60*h**6 - 1\/24*h**4. Factor k(q).\nAnswer: -q**2*(q - 1)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.78 + -1.26. Let n = 1 + -1.04. Let p = n - r. What is the second smallest value in -2, p, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*v**2 - 3 + 2 + 4*v - 26*v**2 to the form f + h*v**2 + p*v and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -31*g. Let v(r) = -18*r + 1. Let i(w) = -4*p(w) + 7*v(w). Let a(y) = 6*y - 20. Suppose j - 3*j + 10 = 0. What is j*a(f) + 14*i(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*z - 59 = 3 - 9. Put 18, z, 5, -3, 10 in descending order.\nAnswer: 18, 10, 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213 and 10366.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9 - 5 - 8 - 13*w - 22 + 2*w. Calculate p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 79. What is the units digit of (7\/(-2))\/(9\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1291.2 - 1291. What is the closest to -3\/8 in r, -0.4, -2\/11, -22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26508 + 26688. What is the smallest common multiple of u and 1584?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 20. Calculate q(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.38 + 852626.\nAnswer: 852627.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 27*z**2 + 27*z - 35. What is g(13)?\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192505.29 milliseconds to minutes.\nAnswer: 3.2084215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*(y**(-11)*y)\/y))\/(y\/y**(3\/8)))\/(((y\/(y\/(y*y**(3\/5))))\/y)\/y)**(1\/47))**(-1\/53) assuming y is positive.\nAnswer: y**(-19521\/99640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 54440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(352)*2)\/(-5*sqrt(8)*-2).\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222958 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12515 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r - 35 = 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*o - 778 + 229 = 0, -2*q - 2*o + 534 = 0. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 38. Let x be t(13). Which is smaller: 24 or x?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.3, 40\/71, -3\/7, 5?\nAnswer: 40\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 20 = -m - 4*m, -4*j - m = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 minutes before 9:35 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -17121, -17315, -17845, -18879, -20585, -23131?\nAnswer: -26685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2 - 4. Let p(k) = 2*k + 6. Let m be p(-5). List the prime factors of -6*w\/m*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/((-225)\/(-20))*((-261)\/12 - 6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 + (6 - 12) + -3 + 1. Let u(z) = 8*z**j + z - 2*z + z. Let b(q) = q**2 + 0*q + 0*q. Determine u(b(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 3878.436683 and 88.\nAnswer: 3966.436683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 4:08 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 + 6770?\nAnswer: 6803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let n(z) = -z + 13. Let k be n(10). Suppose h = -0 + k. Sort h, 1\/4, q in increasing order.\nAnswer: 1\/4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-12\/11)*d)*d)\/(d*d\/(d*d*d*d**(-23\/2)))*(d*(d*d*d*d**(11\/2)*d)\/d)\/(d*d**(-35)) assuming d is positive.\nAnswer: d**(397\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4717 + 4722. What is the nearest to -2 in 0, z, 9\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 2 p when four letters picked without replacement from dpzzpddzpdzd.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14830523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -562 (base 14) to base 5\nAnswer: -13231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74140887 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 47. Let q(b) = 10*b + 234. Suppose 38*h + 29*h - 21*h = -506. Calculate h*a(s) - 2*q(s).\nAnswer: 2*s + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -1\/7, 2\/13 in increasing order.\nAnswer: -1, -1\/7, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/24)\/((-175)\/(-3900)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 0 - ((-2945992)\/2 + -2). What is n rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 617*h**3 - 1882*h**3 + 624*h**3 + 622*h**3.\nAnswer: -19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*c - 14, -i - 5*c = -5*i + 8. Let v = i + -18. Let h be 1 + 0 - (19 + v). Solve -1 + 10 = -h*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48809, -48814, -48819, -48824, -48829, -48834?\nAnswer: -48839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -721, -4, 73, -10 in ascending order.\nAnswer: -721, -10, -8, -4, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13121, -13099, -13077, -13055, -13033?\n\"Answer: 22*m - 13143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 3*y + 59, 122*s - 121*s + 5*y - 61 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + 0*x**4 - 3*x**4 + (-x**2 + x**2 + 2*x**2)*(-4*x**2 + 0*x**2 - x**2).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 3*j**2 + 2*j + 3. Let g be a(-2). Let z be (24\/16)\/(6\/8). Let n be z\/5 - 2\/5. Solve 0 = -5*i - 5*c + 20, g*c - 12 = -5*i - n*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2218 is divided by 53?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 25631640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:35 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 331 + -303. What is the second derivative of -w*x**2 - 53*x**2 + 3 + 36*x - 11*x - 14*x wrt x?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3\/(n*n\/(n*n*n**7)) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 (base 9) in base 2?\nAnswer: 10101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**4 + 435*i**3 + 11967*i**2 + 20949*i - 33354 = 0.\nAnswer: -109, -34, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6901*o**2 + 11 - 11 + 6884*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -3. Suppose 5*t + 23 = -2. Let c(y) = y + 5. Let k be c(t). Solve l + 1 - h = k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208779393?\nAnswer: 3, 61, 1140871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - ((-119)\/8)\/7)\/(53\/318). Let l = 18 - 18.11. Which is bigger: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7863.9724 to the nearest 10.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001531 rounded to 7 dps?\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/30)\/(840\/14000)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 2*k - 5. Let s(h) = -h**3 + 6*h**2 - 4*h - 3. Let d be s(6). Let z be (1*3)\/(9\/d). Is y(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 21*k**3 + 8*k**2 - 20*k**3 + 7*k - 18 + 4*k. Let x be h(-5). Calculate the highest common divisor of x and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1591768, -6367088, -14325956, -25468372, -39794336, -57303848, -77996908?\nAnswer: -101873516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -49209?\nAnswer: -49208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*h + 4*o + 224, -o = -5*h + 280. Calculate the smallest common multiple of h and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*w + 51*w - 2*w**2 + 15 - 134772*w**4 + 134295*w**4 wrt w?\nAnswer: -5724*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1123 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (13 - (29 - 12)) + 8793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42 bigger than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179 or -180?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*y**3 + 356*y**3 - 88*y**3 - 85*y**3 - 86*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215200 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0435 and 10.\nAnswer: 9.9565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64\/7*r**3 - 276\/7*r**2 - 360\/7*r + 0 - 4\/7*r**4 = 0 for r.\nAnswer: -10, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -1\/9, -4, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 36*w**2 + 42. Is n(32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7020 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 - -228. Calculate the remainder when 42 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195177 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 88*t - 2558. Let s be i(32). What is the greatest common factor of s and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14665944*o**3 + 517283917?\nAnswer: -43997832*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.927 + -183.373. Let m = 186 + y. Suppose 5*f = -8 + 3. Which is the smallest value? (a) 2\/11 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = -32 - 122 - 38 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-117)\/(4\/(-16)*2). Let l = 382 - z. Let u = l - -241. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/22 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.4 and 24.\nAnswer: 153.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/342)\/((-1)\/3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 + m + 34. Let c(k) = -30*k**2 - 5*k - 135. Let s(q) = -2*c(q) - 9*u(q). Differentiate s(j) with respect to j.\nAnswer: -6*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06818 * 666.\nAnswer: 45.40788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129015094?\nAnswer: 2, 13, 47, 71, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(29 + -30) - 19?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4703\/4 - 1162. Let w(d) = 2*d**2 + 11*d + 18. Suppose 0 = -8*h + 3*h - 25. Let a be w(h). Does a = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/sqrt(2) + 1)*-5 - (sqrt(6)\/sqrt(3)*-1*2)**2)*5.\nAnswer: -65 - 25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35472 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31241770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 + -252.08854?\nAnswer: -252.61854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27094.39km?\nAnswer: 27094390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*l - 195 = -5*l, 5*x + 2*l - 504 = 0. What is the remainder when 596 is divided by x?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136244.\nAnswer: 2, 3, 94687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241926, -241930, -241952, -242004, -242098, -242246, -242460?\nAnswer: -242752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/4)*c)\/c)\/(c**12*c)*(c**(2\/11)\/c)**39 assuming c is positive.\nAnswer: c**(-1943\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 1 - 5 + 2 + 4 + (-2 + 5 - 2)*(-5 + 3 + 4) + 0 - 2 + 3 + 7 - 4 + 5)*(5*o - o - 3*o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 130568?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 8bb2?\nAnswer: 8bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-12))\/p**(3\/2))\/(p\/(p*p**(-9\/5)*p))**(4\/27) assuming p is positive.\nAnswer: p**(3073\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 26*v + 42, 32*n = 16*n + 18*n - 4*v + v - 39 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 8*m**2 - 7*m + 10. What is w(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/35 > 86998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -606 divided by -4\nAnswer: 303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*t + 5346 = 153*t + 183*t + 262*t for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/3697097 and 69\/859790?\nAnswer: 36970970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n**3 + 0*n**2 + 13*n**2 + 4*n**2 + 14 - n**3 - 16*n. Let b be q(16). Solve -m + 6 = -3*z + 4, 0 = -3*m - z - b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*t - 13 + 799, -3*t + 476 = -5*i. Let h = t + 574. What are the prime factors of h?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1776 + 2517. List the prime factors of q.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-6\/13)\/(u\/u**(-5)))\/(u**2\/(u**6*u)))**(-30) assuming u is positive.\nAnswer: u**(570\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 30*o + 38. What are the prime factors of h(22)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1576 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -73. Suppose i + 14 = 2*c, c + u = -2*i + 13. Let y(d) = -d**2 - 15*d - 11. Is y(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1335722 - -90.\nAnswer: 1335812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 3. Let l(b) = b + 1. Let q(r) = d(r) + l(r). Let x(w) = 3*w + 7. Determine 5*q(p) - 3*x(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d - 61 = -3*a, -4*d = -16. Let b = 53 - a. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/17711232 and 131\/8064.\nAnswer: 53133696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502 is divided by 124.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/378)\/(4\/(-24)) - 336\/(-54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/642205 (b) 1\/4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*a**3 - 7*a**3 + 3 + 2*a**4 + 12*a + a**4 + 18*a**2.\nAnswer: 3*(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -25*z**3\/6 + 3*z**2\/2 - 1032*z. Let v(f) = -13*f + 2. Calculate -4*c(k) + 7*v(k).\nAnswer: 9*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96, -95, -94?\n\"Answer: a - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**3 - v**2 - v + 1. Let r be i(1). Suppose 4*b = 4 + r. Suppose -b*f + 10 = -10. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792) + 0 + sqrt(1792) + sqrt(1792))**2 + (sqrt(700)*-1)**2 - (3 + sqrt(448)*-1)) + 3.\nAnswer: 8*sqrt(7) + 16828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 4 + 50. Let i be (h\/8)\/((-3)\/(-12)). Suppose -c + 31 = 3*a + c, i*c = -2*a + 14. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 281\/5. Factor -2\/5*a**3 - 2\/5*a**2 + y*a + 0.\nAnswer: -2*a*(a - 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1189191 in -0.4, 3, -4, 1\/4, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(45))**2.\nAnswer: 18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2802, 3891, 5742, 8361, 11754, 15927, 20886?\nAnswer: 26637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2071993 and 5467?\nAnswer: 2071993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 32492680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, 0, 66.\nAnswer: -10, -3, 0, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s - 69 + 139 - 44*s - 2*s**2 - 70 - 19*s.\nAnswer: -2*s**2 - 87*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 46*t**3 + 0*t**3 - 10*t**3 + 0*t**3.\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -62\/7, -0.07, 0.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(110) + (2*sqrt(110) - sqrt(110))) + -6*(sqrt(110) - (sqrt(110) - sqrt(110)*3)))\/(-1*6*2*sqrt(490)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 58*u**3 + 2*u. Let h(s) = 39*s**3 + s. Determine 5*g(f) - 8*h(f).\nAnswer: -22*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2299) + -4)*4)**2*3 + -1 + 4.\nAnswer: -5280*sqrt(19) + 111555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4.645601 weeks?\nAnswer: 2809659484800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1920*c - 1935*c + 75 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3094873*c**5*g - 110*c**4*u + c**2*g*u + 2204*c**2*u - 4*c**2 - 2918*c*g wrt c?\nAnswer: 185692380*c**2*g - 2640*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28261.\nAnswer: 59, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 - 20482*x**3 + 1666076*x**2 = 0 for x.\nAnswer: 0, 82, 10159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5, -1813245 in ascending order.\nAnswer: -1813245, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 29.14 and 9.\nAnswer: 38.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 247, 234, 229, 232, 243?\n\"Answer: 4*d**2 - 25*d + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9856, 39272, 88300, 156940?\nAnswer: 245192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -38. Let c(v) = -28*v**2 + 2*v - 6. Let x be c(2). Let q = 115 + x. Sort 4, q, f, -2 in increasing order.\nAnswer: -2, f, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 127\/18, -1\/6, 7, 5, -5\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -0.35 (c) 1\/3 (d) 0.5 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.6 - 6. Let y = -0.8 - -1.1. Which is the closest to y? (a) 5 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -203 - -15102?\nAnswer: 14566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683239 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/115*(-1)\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/96 and 131\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5628.61 + 5542. Let g = 87 + q. Round g to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 4*f - 3. Let x be g(2). Let i be 0 + (-2 - x) + 9. Calculate the remainder when 5 is divided by ((-6)\/i)\/(6\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**4 + 2*w**3 + 4*w**2 + 4*w. Let h(o) = 10*o**2 - 4*o**2 + o**3 - 5*o**2 - o**4. Let j(p) = -6*h(p) + q(p). Solve j(m) = 0 for m.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456135 (base 7) to base 12\nAnswer: -3b106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122362*q + 122385*q + 253 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134185 and 450.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 427496*b**3 + 45689062488*b**2 - 182751120032*b + 182749410064.\nAnswer: (b - 213746)**2*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 929193.5 millennia in years?\nAnswer: 929193500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 1. Let o(y) = -26*y + 13. Give -6*o(z) + 78*u(z).\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/11, -0.4, -2\/11 in descending order.\nAnswer: 2, -2\/11, -3\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -52c1c2 (base 15) in base 13?\nAnswer: -a7bbb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47618*g**3*h**3 - 5866356*g**3*h**2 - 27*g**2*h**4 wrt h.\nAnswer: -285708*g**3 - 648*g**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19 and -49.9684.\nAnswer: -9.493996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21723 + 5?\nAnswer: -21716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:50 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*l - 2 - 2 = 0, 5*l + 2 = 3*u. What is the nearest to 0.2 in -2, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121321 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -482\/3 - -2443\/15. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329698453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (108\/15)\/(6\/240). Let j = 379 - v. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 582, 581, 580, 579, 578, 577?\n\"Answer: -k + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 - 7. Let r = t + 0.6. Let y = -0.1999964 - r. What is y rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 3*j - 5*j**2 + 5*j**2.\nAnswer: j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3396 - -5098. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -401*i + 8. Let w be b(1). Let k = w - -828. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2003 + -1152. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830722 less than or equal to 3830897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223184257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -12. Let i(v) = 2*v**3 - 5*v**2 - 1. Is i(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3378575g to kilograms.\nAnswer: 0.0003378575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1267 and 55\/73486?\nAnswer: 73486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -29. Let q(l) = -2*l - 26. Let t be q(b). Sort -4, t, 4 in decreasing order.\nAnswer: t, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 2:00 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 77176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 489723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11168648*y - 8*y**2 + 11168657*y + 5*y**2 - 6*y**2 - 22337305*y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*d + 96, 3*u = 2*d + 8*u - 150. Solve 0 = -22*j - 8*j + d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1. Suppose 0 = -2*d - 5*r + 261, -d + 3*r = -0*d - 103. Let u(h) = d*h - 61*h - 56*h + 4. Determine b(k) + u(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2178871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*q + 7 = 7. Solve q*d + 5*m = -4*d + 16, m = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 736136283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 312?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8366 - -9565. Solve 3*g + o = 1181 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -256272\/6145 or -42?\nAnswer: -256272\/6145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 2*l**2 + 3*l**2 + (-l - 4*l + 2*l)*(-1 - 2*l + 1))*(-3*l + l + l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*g + 2*u, 2*g + 6 = -7*u + 5*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1689244 plus -245?\nAnswer: 1688999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*i**2 + 2*i**3 - 6*i**4 + 3*i**4 + 0*i**4 - 12*i**2 in the form v + k*i**3 + a*i + d*i**4 + m*i**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l - 1. List the prime factors of k(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 7*s**2 - 16*s - 1. Let d be 11*(-264)\/484 + (-3 - -1). Give f(d).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(240)*2*2)\/sqrt(10))\/(((sqrt(648)*2 - sqrt(648)) + sqrt(648))*6))**2 + -3.\nAnswer: -1214\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + (sqrt(204)\/sqrt(4)*-5)\/sqrt(3) - 3*-5*(1 + sqrt(68))).\nAnswer: 11 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18753, 5\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*g = 1268 + 890 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -669274, -1338537, -2007800?\n\"Answer: -669263*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -25. Let n be (4*r)\/((-8)\/(-4)). Suppose -n*b = 2*b - 196. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 3. Let o be n(2). Let p = 11 + o. Let v(m) = m**3 + 8*m**2 - m + 4. What is the lowest common multiple of v(-8) and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/5 + 46*o**4\/5 - 460*o**3 + 6614*o**2\/5 - 6517*o\/5 + 2156\/5.\nAnswer: (o - 28)*(o - 1)**3*(o + 77)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.74357 * -0.644.\nAnswer: -13.35885908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/13002 and 16\/747615?\nAnswer: 1495230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -6*s - 103 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/15))**(-7\/6) assuming g is positive.\nAnswer: g**(7\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnv when three letters picked without replacement from {v: 1, n: 2, u: 2, p: 4, e: 3, y: 3}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9 + 35*r - 79*r + 41*r. Suppose -7 = 2*h + 5. What is the remainder when 50 is divided by n(h)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 36 = 2*q. Let n(k) = 11*k**2 - 3 + k**2 + 2*k - 12*k - 13*k**2. Is n(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1065, -2107, -3157, -4215, -5281?\n\"Answer: -4*w**2 - 1030*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 = 2*l, -5*m + 4*l = -37. Suppose -o - 52 = -m*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39296 = -4*j + 4*w, 0 = -4*j + 139*w - 141*w - 39242. Which is bigger: -9817 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 213838982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8\/6*(-120)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 10:27 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.411 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/9 (b) 1.5 (c) -2\/131 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 821147\/193 or 4254?\nAnswer: 4254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:38 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)\/(a\/a**6))\/(a**3\/(a\/a**5)))\/((a**0)**38\/(a**(-1\/4))**(2\/25)) assuming a is positive.\nAnswer: a**(-807\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 97*x - 6629. Let h be t(68). Which is the nearest to 17? (a) h (b) 2 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 1 = 0, -6902297 + 6902341 = 45*b + r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12 = 2. Suppose a*h = 4*l + 54, 10*h - 90 = 5*h + l. Let m = -4885 - -4915. Calculate the remainder when m is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 + 58.3. Let n = 62.1 - x. Let b = 4.1 - n. What is the nearest to -1 in -4, 6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385016 to the power of 1\/2, to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-15*(-5)\/100)\/(15\/(-24)*2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 + 33*z + 198. Is f(-21) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4444162, 8888353, 13332540, 17776723, 22220902, 26665077?\n\"Answer: -2*g**2 + 4444197*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7233 - 3986. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 + 0 = -5*u, -4*u + 4 = t. Suppose 37*a - t = 31*a. Solve -b = b - 2*l, a*l - 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**3\/3 + 3*o + 1007. Suppose 4*x - 70 + 14 = 0. Suppose -x = 2*p - 2. Give v(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09113 < -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j**2 - 2*j. Let l(o) = -10*o**2 + 2*o. Determine -6*l(p) - 5*q(p).\nAnswer: 5*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/5 (b) 353 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -257 - -3339\/13. Does n = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -78840951 divided by -7?\nAnswer: 11262993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85749.1 centimeters in nanometers?\nAnswer: 857491000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 4. Let d be b(-4). Suppose 2*g - 44 - d = -3*k, k = 4*g - 98. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k - 20. Suppose 0 = k*y + 5*u - 782, -4*y - u = -6*u - 802. Is 42 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/11)\/m)\/m**(2\/29) assuming m is positive.\nAnswer: m**(-370\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 1. Let r(l) = -5*l**2 - 16*l + 15. Let o(v) = 4*q(v) + r(v). Let i(g) be the first derivative of o(g). What is the derivative of i(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3785689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + 30002210?\nAnswer: 30002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 7*v + 4. Let x(c) = c**2 - 2*c + 1. Let p = 6 - 14. Let y(w) = p*x(w) + 3*b(w). Calculate y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 108\/(-14) + 14\/(-49). Let h = v - -13. Suppose -h*b + 2*b - 5*z + 20 = 0, -4*z = 5*b - 29. Solve -15 = -b*f, -j - 12 = j - 2*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -4*o**6\/3 + o**2\/2 - 6. What is the second derivative of f(t) wrt t?\nAnswer: -160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w - 116*w + 324 = -35*w + 1362 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11423010 + 12?\nAnswer: 11423022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 6*c + 9. Let q be r(2). Let l = -5 + q. Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*p = 3*p + 3, -3*p = 3*z - 9. Solve 9*h - 36 + 9 = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 3*f, -5*b + f - 1 = -9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*i = i - 36, -5*i - 4 = 3*u. Let v = u + 5. Let c be v*(992\/6 + -2). What is c rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 9. Let r be (-92)\/5 - (-6)\/15. Let x = 12 + r. Let t be o(x). Solve 2*l = 9 - t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30, -52, -72, -90, -106, -120?\n\"Answer: f**2 - 25*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 949061.2 plus 54?\nAnswer: 949115.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 3, 14, -6 in decreasing order.\nAnswer: 14, 4, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*n*p**2 - 9*n - 1936*p**2 wrt n.\nAnswer: -124*p**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -68*l - 81. Determine z(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/885615 and -47\/27784.\nAnswer: 7084920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13280 or -39838\/3?\nAnswer: -13280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1332 and 1332?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 288\/(-720)*10\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(176)*-2)**2 + 3 + sqrt(176) + -1.\nAnswer: 4*sqrt(11) + 711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7732 + -7728.327. Let m = n - 0.673. What is the fourth biggest value in 33, 0.5, m, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(1\/9)*(x**(-1\/2))**(2\/125) assuming x is positive.\nAnswer: x**(-134\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 4*z + 9, -3*t + 27 = 2*t + 4*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 247*l**3 - 533528*l**2 - 118232428 wrt l?\nAnswer: 741*l**2 - 1067056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80311*k + 40188*k + 39998*k.\nAnswer: -125*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1063 + 532 + 531 - 340*m - 25*m as k + p*m and give p.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - y - 223 = 200, y = 3*p - 634. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 726 or 727?\nAnswer: 726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 32225968*k**3 - 64907127797968*k**2 - 259628124480384*k - 259627995576576.\nAnswer: -4*(k + 2)**2*(k + 4028244)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21003 - 3?\nAnswer: 21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/(-2))\/4 + 263. What is the tens digit of 2\/(-3) + f\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**3\/3 + v**2\/2 - 6*v + 7. Let s be k(-3). Let h = -4 - -7. Solve s = -0*t - 5*t + h*a + 19, 4*t = 3*a + 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2 + 121*y + 35. Let n be h(-30). Suppose 24*c = -n*c - 4147. Which is bigger: c or -144?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3*(17 - -1). Find the common denominator of (-249)\/n - (0 - 0) and (-99)\/(-48) - 0\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 79*x**2 - 20*x + 20. Determine w(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010110 + -1010?\nAnswer: -1111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 171*b**3*m**2 - b**3*m*v**3 + 3*b**3 + 1227*b**2*m*v**3 + 14*b*m + 110861*m**2*v**3 wrt m.\nAnswer: 342*b**3 + 221722*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/43450 and -83\/400?\nAnswer: 347600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1816 (base 14) in base 12?\nAnswer: -2610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 377\/3, -0.2?\nAnswer: 377\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 2. Let o be m(-5). Let v(b) = b**3 - 6*b**2 - 5*b - 6. Let u be v(o). Suppose -u*x + 36 = -2*x. Solve 0*c - x = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29755377 and 1431?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 951*o - 1620*o + 671*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (20 - -35 - (8 + -2 + -2 - -7)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -3 + 7 + 85. Suppose f - 13*f + 96 = 0. Calculate the highest common divisor of f and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2. Let y(z) = 2*z**2 - 13*z - 24. Let c be y(8). Let q(l) be the first derivative of 3 + 0*l + c*l**2 + 4\/3*l**3. Calculate o(q(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1422757411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 97\/1 - (-21 - -23). Calculate the greatest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3 - 303. What is the greatest common divisor of 40 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 38*g**3 - 226*g**2 - 181*g + 896. What is x(6)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17.632 and -0.04114964?\nAnswer: 17.67314964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20\/1293 + 5623\/1293. Let b(h) be the first derivative of -15 - x*h**3 + 15\/2*h**2 + 0*h. Find the second derivative of b(p) wrt p.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.3 (b) 0 (c) 91\/5 (d) 4\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 215 and 9.\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2, 1\/7, -11\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*v = 110, -q - 3*v = 3*q - 111. Let p = -18 - q. Let i = p + 52. Solve -2*w - i = -2*j, -w = 6*j - 3*j - 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4*k + 3*h**4 + 2*h**2*k + 376*h*k wrt h?\nAnswer: -12*h**2*k + 36*h**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 37753266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {x: 1, t: 2, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 + (-2 - 0))\/(-2). Let g = -30 - -38. Is g at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1417, -2865, -4343, -5857, -7413, -9017, -10675, -12393?\nAnswer: -14177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/39076015 and 93\/9946622.\nAnswer: 547064210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + 9. Let v be z(0). Let p(o) = 4*o + 1. Let j be p(1). Suppose 2*s = j - 1. Solve a - 19 = 3*b, -3 = -a - s*b - v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210533 (base 6) in base 10?\nAnswer: 17049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) - (-12)\/(-24). Let i(q) = -2*q**3 + q**2 - q - 1. What is i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3484 rounded to 2 dps?\nAnswer: -8.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 6)*(1 + -2). Let u(o) = o**2 + 6*o - 14. Let w be u(3). Suppose -77 + 25 = -w*s. Which is bigger: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-5\/4))**(-2\/13))**(-6\/17))**(1\/23) assuming d is positive.\nAnswer: d**(-15\/5083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let i(f) = -37*f + 19707. Give i(j(z)).\nAnswer: -74*z**2 + 19707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7952 and 13608?\nAnswer: 1932336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucyuuyyccccccccy. What is prob of sequence cuuy?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9464 + 11442. Calculate the highest common divisor of 172 and q.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 52*v - 3. Let r(p) = -153*p + 10. Determine -7*q(x) - 2*r(x).\nAnswer: -58*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004369 rounded to six decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.72155 - 0.041374?\nAnswer: -1.762924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 75.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 223499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - v + 2*m - 8, v - 5*m = -3. Solve v*n - 5 = -t - 14, 3*n + 31 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2032*u + 616447*u + 557686*u + 430915*u.\nAnswer: 1603016*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 - 13*z**2 + 5*z + 7. Let t be (6 + -3)*(-10)\/(-6). Let y(c) = 3*c**3 - 6*c**2 + 2*c + 3. Let u(q) = t*y(q) - 2*w(q). Calculate u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Suppose m + 18 = 20. Let a(l) = 43 + m*l**2 + 12*l**2 - 43. What is i(a(b))?\nAnswer: 196*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -5*r - 6, 2*r + 14 = 5*j - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 61349626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31306324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.7 + -0.3. What is the closest to -0.3 in d, -0.3, 2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11279710 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 - 3. Let c(z) = 2*z - 23. Calculate c(l(y)).\nAnswer: 6*y**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(5\/4)))\/w*w\/(w*w**(1\/12))*w*w**(1\/5)*w\/(w\/w**(3\/5)) assuming w is positive.\nAnswer: w**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 <= 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.200106?\nAnswer: 1.00053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f - 3. Let x(p) = 4*p + 2. Let i(g) = 5*v(g) + 7*x(g). Give i(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5304 + 5376. Solve 0 = 47*h + 351 + z for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(152)*-2*3)\/((-2*sqrt(512) + sqrt(512) - sqrt(512))*-3).\nAnswer: 5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 2*w + 214. Calculate the remainder when r(0) is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*d**2 - 18*d**3 + 114*d**2 + 2*d**3 + 0*d**3 + 0*d**3 + (-2 - d**3 + 2)*(0 - 2 + 1) to b*d**2 + t*d**3 + j*d + u and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - 409)*(-1)\/4.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = 5*t, 5*t = -0*l + 3*l + 3. Suppose -661*b + 9384 = -559*b. Does b = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 109.9. Let b = w + 5. Put -0.2, 4, b in ascending order.\nAnswer: -0.2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/18 + 104*t**3\/9 + 308*t**2\/9 - 495. Factor c(w).\nAnswer: 2*w*(w + 2)*(w + 154)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/623028055 or -1?\nAnswer: -18\/623028055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 1. Let v be 2\/8 - (-14)\/8. Let h = v + -1. Let i(b) = -147 - 158 - 144 + 451. Determine h*i(y) - 2*a(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**3 + b**2. Let z be f(1). Suppose k + 68 = 2*n, -3*n + 5*k = -z*n + 136. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 31*n + 224. Let o be p(7). Let c be 4\/22*o\/(-18). Which is smaller: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4512 and 5180904.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, g: 1, r: 4}. What is prob of sequence kkr?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*v + 28. Sort -4, v, 3, -1.\nAnswer: -4, -1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i - 11*i - 176. Calculate the highest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 66171 = 344169. Let o be -3 + 0 - (d - 4). Round o to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -25)\/7 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 3*q + 1. Let y(c) = 7*c**2 + 24*c - 1326. What is -8*b(l) - y(l)?\nAnswer: l**2 + 1318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0*g + 4*g - g. Let p(r) = -3*r + 22*r - 12*r. Calculate p(q(z)).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154708, 152935, 151162, 149389, 147616?\nAnswer: 145843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24765 or 104?\nAnswer: 24765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:24 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.918 - 23.3479\nAnswer: -24.2659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 277\/150 + -17\/25. Let f(u) be the second derivative of 10*u - 4*u**2 + 4*u**3 + 0 + y*u**4. Factor f(v).\nAnswer: 2*(v + 2)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/(-10 + (-924)\/(-96)). Suppose -g*s + d = -12, 9 = 4*d + 25. Solve -3*f - 3*k = 9, -2*k - s*k - 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 40*b**2 + 77*b - 1670. Give p(42).\nAnswer: -1964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 8*d + 1 + (2 - 2 - 1)*(-3*d + 2*d + 2*d - 2*d + d + 0*d + (-d - 2*d + d)*(2 + 3 - 4)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433876569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 5*g**2 + g + 3. Let b be (-54)\/12 + 1\/(-2). Let o be v(b). What is the remainder when 1\/(2\/(-28)*o) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242738019.\nAnswer: 3, 17, 37, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42469629 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.513 - 58987045.\nAnswer: -58987045.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3775052*o + 8722769.\nAnswer: -3775052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4829 + 4918. What is the remainder when 367 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2944495.3 - 120.54.\nAnswer: -2944615.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 13)*(-10)\/(-20). Let x(q) = 8*q + 17. Let b(w) = 3*w + 6. Let o(l) = s*x(l) - 17*b(l). Let p(y) = -2*y**2. What is p(o(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, 1, 612?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408423 and 21646419.\nAnswer: 21646419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 47*y + 11. Let i = -29 - -33. What is the units digit of q(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a + 2. Suppose 0 = 3*c + t + 84, -4*c - 4*t - 46 = -2*c. Let p = c - -35. Solve 0 = a*f - 5*f + p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 8419647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 2*t - 2. Let m be r(-2). Let i be -1 - (m - 3)*8. Let v be 2170004\/i - 32\/56. Round v to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1620*s**2 + 22677*s - 33. Calculate v(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -902, -950, -1000, -1052?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-174)\/(-116))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20341 (base 9) in base 14?\nAnswer: -4c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {g: 2, j: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2115102.41+356\nAnswer: -2114746.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*q = -2, 10 = 5*w - 5*q - 0. What is the first derivative of -w*n**2 - 21 - 122*n**4 + 11*n**2 + 121*n**4 wrt n?\nAnswer: -4*n**3 + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 3*m**4 + 2*m**3 + (-3*m + 7*m - 2*m)*(12*m**3 + 4*m**3 - 5*m**3) + 0*m**4 + m**4 + m**4 as f*m + g*m**4 + o + d*m**2 + w*m**3 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/11 - 5842*n**4\/11 - 5349276*n**3\/11 - 1070945280*n**2\/11 + 3261136896*n\/11 = 0. What is n?\nAnswer: -384, 0, 3, 3686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*k = 233*k + 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(300)\/sqrt(6)*-4.\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:55 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -24*l + 16*l + 12*l. Let w(c) = c - 6. Let m(a) = a - 5. Let r(o) = -6*m(o) + 5*w(o). What is r(p(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyrw when four letters picked without replacement from {i: 3, l: 1, p: 3, y: 1, w: 1, r: 2}?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -72*z - 2. Let g(q) = -231*q**2 - 2*q + 3. Give b(g(a)).\nAnswer: 16632*a**2 + 144*a - 218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -139 (c) 0.13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*y = 22, 5*i - 4*y - y = 5. Differentiate 17 + 16*w**3 + 0*w**3 + 8*w**3 - 2*w**i with respect to w.\nAnswer: 66*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -y**2*z**2 - 84*y**2*z - y*z**3 - z**3 - 49*z wrt y.\nAnswer: -2*y*z**2 - 168*y*z - z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 31*i**2 + 30*i + 7. Let k be x(30). Let d(v) = 5*v**2 - 30*v - 2. Let b(w) = -4*w**2 + 24*w + 3. Let q(g) = 6*b(g) + 5*d(g). What is q(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29561 and 5047?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1596 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000037782 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**2 + 0*u - 7\/24*u**4 + 7\/6*u**3 + 1\/60*u**5 + 0. Determine b(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*f + 9*f. Let w be (f\/5 - 0)\/((-1)\/10). Solve 2*u + 4*l = w + 12, -5*l = 4*u - 21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + ((-8109)\/(-2) - 4\/8).\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2847 + 2847 - 93*r**3)*(-2 - 2*r + 3*r - 2*r) to the form t*r**4 + z*r + b*r**2 + n*r**3 + f and give t.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084670 rounded to the nearest one thousand?\nAnswer: 1085000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 1 + 1)*(-2 - 2*g**3 + 2) - 5*g**5 - g**5 + 4*g**5.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 2*y = -6*y - 85505. What are the prime factors of y?\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.2 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2029647 + -0.891\nAnswer: 2029646.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.14 + -0.14. Let g = 27 - h. Let t = 225 + -224. What is the closest to 0 in 4\/5, t, g?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1272.402 and -1.1?\nAnswer: 1399.6422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 870 - 611. Does 45 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 53 = 43. What is the highest common factor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120101011 - 0?\nAnswer: 2120101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 3 + -13 + -16 + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -12\/5. Let d(k) = -6*k - 3. Let f be d(-3). Let q be (2\/(-3))\/(2\/f). Which is the closest to u? (a) q (b) -0.1 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7149 + -4738. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 392476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*a = 5, -2*a - 15 = -2*y + 3*a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/653526 and -95\/432?\nAnswer: 15684624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 100*q**2. Let p(l) = 4424*l. Calculate p(c(f)).\nAnswer: 442400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssllsasswwssaslssls. What is prob of picking 1 a, 1 l, and 1 w?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 35. Let c(w) = -w**3 - 11*w**2 + 11*w - 9. Let t be c(y). Factor 3*z**2 + 23*z**t + z**2 - 22*z**3 + 3*z.\nAnswer: z*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -9. Differentiate 5*d**2 + k*d**2 + d**2 - 3*d**2 + 5 wrt d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1946 + 1007. Let w = k - -2058. List the prime factors of w.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/7 (b) -0.3 (c) -2\/425 (d) -0.18 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -76*q**2 + 9*q - 6. Let p(g) = -75*g**2 + 11*g - 7. What is -5*n(l) + 4*p(l)?\nAnswer: 80*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*q + 4*q - 1209, 2*q - 612 = -2*p. Let f = q - 158. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 32. Let b = j + -16.93. Let v = -0.0699965 + b. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 1. Let v be l(5). Suppose -1 = 3*p - v. Suppose -t = 2*g - 20 - p, -5*t = -g + 24. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121480.157 rounded to the nearest one hundred?\nAnswer: -121500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 + 913.\nAnswer: 915.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -27486*v + 494750. Calculate l(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 3*o. Let g(l) be the third derivative of 0*l**4 - 7\/60*l**5 - 1\/6*l**3 + 0 - l**2 + 0*l. Give g(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, 0.4, 0.8, 0.3, -0.081, -3, -29?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:14 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1415118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**(1\/2))\/k)\/k)\/k**(-5)*(k**0)**39*(k*k**0\/k)**0*(k**(-1)*k)**(1\/46) assuming k is positive.\nAnswer: k**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74438 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -22558304.\nAnswer: -90233216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -83, -191, -343, -539, -779, -1063?\n\"Answer: -22*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1056 and -47\/396.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22266 divided by -18?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12335 or -12340?\nAnswer: -12340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406066 (base 7) in base 11?\nAnswer: 198969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o\/o**(-8\/7))\/o)\/o**(-5))\/(o**(-1))**(6\/11))**(-44) assuming o is positive.\nAnswer: o**(-2368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/((-3)\/30). Is f < 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31938.\nAnswer: 2, 3, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 > 15104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**6\/36 - f**5\/15 + 3*f**4\/8 + f**3\/9 - 2*f**2\/3 + 295. Let q(a) = 0. Calculate a.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 69?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1)\/(-9) + 12054\/1107.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + v**2 - v + 2. Let q be w(4). Does 6 divide (-2)\/(-15) + q\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 478ab6 + 4?\nAnswer: 478aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -355, -39, -4, -5, 0, 176 in ascending order.\nAnswer: -355, -39, -5, -4, 0, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02834 take away 0.05684358?\nAnswer: -0.02850358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5 (c) 0.3 (d) 3\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-2))\/(669\/(-223))?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(3\/11))\/p*p*p*p**(-2\/5)*p\/p**6*p*p*p*p*p\/((p*(p\/p**(-2\/13))\/p)\/p) assuming p is positive.\nAnswer: p**(1229\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 1 = 5*q. Let g be -48*(-3 + q\/(-6)). Let s = -259 - -259. Solve -4*a = 2*h + 16, 2*h - 3*a - a - g = s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1be (base 15) to base 9.\nAnswer: -488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 64 = 15*x, -2*x = -2*z - 109 - 94 + 191 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93152038?\nAnswer: 2, 7, 950531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1484*g + 735*g - 651 + 746*g)*(0*g**3 - 6*g**3 + 5*g**3).\nAnswer: 3*g**4 + 651*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/69136000 and -101\/111360.\nAnswer: 414816000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1131 + -695. Suppose a + 2*k = -238, -6*a + 4*a = -4*k + v. Is (-2)\/(-5) + a\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 144 = 5*b. Suppose -b = -6*n + 54. Suppose 38*y - 37*y - 34 = 0. Calculate the greatest common factor of y and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 20 = 2*g, -8*g - 41 = -3*g + 4*s. What is the common denominator of ((-2)\/8)\/((-12)\/(-34)) and (g\/(-24))\/((-20)\/88)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -646 - -651. Solve 6*b + 15 = 3*b + 2*r, 2*b - o*r = -21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 89 (c) -2596 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*c = 1125 + 867 - 73 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12892 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/7*(-560)\/(-120). Solve -4*c - v = 16, i*c + 5*v = -c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25341 divided by -7\nAnswer: 25341\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11508 and 19765401?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 4437.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 214 - 129. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 14*v**2 - 8*v - 16. What is m(-13)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 131 + 69*q**2.\nAnswer: 69*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 6843?\nAnswer: -19\/6843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**8\/20160 + q**7\/720 + q**6\/360 + 23*q**5\/20 - 5*q**2 + 1. Let n(v) be the third derivative of u(v). Calculate n(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 5*w**2\/2 + 1121. Let n(d) = 4*d + 71. Give r(n(l)).\nAnswer: 20*l + 355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11730984.\nAnswer: 2, 3, 488791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1798*m - 1085*m + 1648*m + 3 to the form j*m + a and give j.\nAnswer: 2361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6748 times 0.5\nAnswer: 3374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*y**2 - 124455 + 124457 - 13*y + 13*y.\nAnswer: 327*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1 - 4 - -1. Let k be 2*(0 + 0 - o). Is 15105\/60 - 6\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -9 (c) 0.06 (d) -4.9 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1597 divided by -2?\nAnswer: 1597\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 14 = 14*u - 12*u, -3*f = 2*u + 1. Let q(l) = l**2 + l - 6. Let w be q(f). Factor 7\/2*a**2 + 5\/2*a**4 - a - 1\/2*a**5 + w - 9\/2*a**3.\nAnswer: -a*(a - 2)*(a - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1449 - -1012. Let r = -428 - u. Let y be (-13)\/(-3) + 1\/(-3). Solve 4*n - g - r = 0, y*n = g + g + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1148\/5 > -230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 greater than 1\/75537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 89.292.\nAnswer: 17.8584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977077829 to the power of 1\/3, to the nearest integer?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1455438 and -0.09.\nAnswer: -1455438.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*40\/24*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1617))\/sqrt(3) - sqrt(22)\/(3*sqrt(2)*4 - sqrt(2)).\nAnswer: 307*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -3 - 25 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 4*m - 12, -12 = 5*k - 7*k - 4*m. Suppose -3*g + k*g - 56 = 4*n, 2*g + 3*n + 36 = 0. Let o = 15 + g. Is -9 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2891 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-12))\/(12\/(-36)). Which is the nearest to 1\/3? (a) 0.4 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*s - 4, 14 = -2*p + 3*p - 3*s. Suppose -5*g + 2*u + 55 = 0, p*g - 22 = 3*g - 3*u. Suppose 0 = 3*w - 31 + 19. Solve -w*d - 5 - g = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -1.7 (b) 13 (c) 11.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33765435 and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24245769 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 3*p**7\/70 + 23*p**6\/40 - 7*p**5\/4 + 9*p**4\/8 - 87*p**2 - 4. Determine d so that j(d) = 0.\nAnswer: -9, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 4*g - 4. Let w be z(2). Suppose w*c = c - 82. Suppose 4*u = l, 0 = 5*l - u - c - 13. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 5*i + 2. Let z be 9\/2 + (-5)\/(-10). Let f be x(z). Suppose -f*j + 21 = 3*b + j, -3*b + 19 = j. 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: What is j in -2*j**2\/5 - 17316*j\/5 + 416736\/5 = 0?\nAnswer: -8682, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/84 - 16*k**3\/21 + 30*k**2\/7 + k + 430. Let r(s) = 0. What is s?\nAnswer: 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66) + (sqrt(66) - (sqrt(66)*3*-3 - sqrt(66))) + sqrt(66) + sqrt(66))\/(1*(sqrt(96) - sqrt(6))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 35. Let o = -39 - -35. Let u = 8\/51 - -3\/17. What is the closest to u in h, -0.2, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 779026033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.556 - 2.39. Let b = -0.134 - s. Let d = -5 - b. Put 1, 2, d in ascending order.\nAnswer: d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32814154.\nAnswer: 2, 2357, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1001932, -2003923, -3005878, -4007779, -5009608, -6011347, -7012978?\n\"Answer: 3*q**3 - 1002012*q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(84))\/(3*sqrt(768)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - -223220103121?\nAnswer: 223220103302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/127565070 and -79\/204104112.\nAnswer: 1020520560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w - l = 42*w + 20, w - 5 = 2*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 2\/(-1))\/(-2 + 0). Let k(x) = 1 - 4 - 3*x + 0*x + d*x. Suppose -4 = 3*i - i. Calculate k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 44.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8))**(-22) assuming u is positive.\nAnswer: u**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -17*l**4\/6 + 5*l**3\/2 - 1070*l**2. What is k(1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-10)*g)*g*g**(-16\/3))\/(g**(-1\/8)*g\/g**(-11)*g*g) assuming g is positive.\nAnswer: g**(-197\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -48. Suppose -h*u - 4*z + 10016 = 0, 0*u + 4*z - 2016 = -u. Suppose -2*q = 2*f - 894 - 3106, -q + 4*f = -u. What is q rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37866810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.157 - 75.157. Let q = j - -137. Let n = q - 60. What is the closest to 0.4 in -0.5, n, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1003?\nAnswer: 1\/1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**2*l + 1101787*k**2*x - k**2 - 421*k*l - 4*l*x**3 + 3*l - 3 wrt x?\nAnswer: 1101787*k**2 - 12*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*b**2 - 1007*b + 2543*b + 51*b**2 + 280*b**2 - 84*b**3 + 1152 + 4*b**4 = 0. What is b?\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, -2\/7, 66?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 x, and 1 j when four letters picked without replacement from jxjaaxjajjavjaaja.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*b*d**2 - 97872*b*d - 16146839*b - 2 wrt d.\nAnswer: -100*b*d - 97872*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 2*z + 3 = -5*i, -2*z = 2. What is the tens digit of (i + -341)\/(-6) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 0*b)*(0 + 0 - 2*b - 3*b - b + 2*b + (b + b + 0*b)*(2 + 2 - 6) - 4*b - 3*b + 5*b + 4 - b - 4) - 12*b**2 + 19*b**2 + 11*b**2.\nAnswer: 29*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152920 = -18*i + 410534. Let p be i - (10 + -5 - 2). Round p to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 7 + 1 = 0. Let j be 645\/(-10)*(-2)\/(-3) - 6. Sort x, j, 0 in descending order.\nAnswer: 0, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -214042 and -214043 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -2*w - 5*r - 55, 3*w - 3*r = 39. Solve 5*m - w = 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -145*j + 5512. Let w be n(38). Solve -w*i = -2*r, 4*r = -i - 2*i - 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*m - 5082 + 6786 = 0 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.6 from -0.66427574.\nAnswer: -16.26427574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 56*u - 122, 2*b - 411*u - 26 = -414*u for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 642*b - 856*b + 32 as i + f*b and give f.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:09 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -27 - (3 + 0 + -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625010269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Let z(l) = l**3 - 8*l**2 - 10*l + 12. Let k be z(9). Let g be d(k). Solve v + 9 = 3*r, 6*r - 3*v - 9 = g*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*r - 155*r + 66. Let i be ((-5)\/(-3))\/(r\/33). Solve 4*z - 3*g + 10 = 0, -z - 14 = -0*z + i*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, a: 2}. Give prob of sequence mmm.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 4*o**7\/63 - 2*o**6\/15 - 34*o**5\/15 - 4*o**4\/3 + 64*o**3\/9 + 10*o**2 + 52*o. Determine w so that t(w) = 0.\nAnswer: -3, -1, -1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 9:35 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 175*m - 87*m - 92*m.\nAnswer: -4*m - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*z = -227*z - 208 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 38 = 278*n - 294 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/53)*d)\/(d\/d**(1\/29)) assuming d is positive.\nAnswer: d**(111\/1537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, d: 2, p: 4, y: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 16*w**2 - 16*w + 49. Let t(j) = 3*j**2 - 3*j + 10. Let l(q) = -11*t(q) + 2*y(q). Let f be (1 - (0 + 0))*7. Let d = f + -7. Give l(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/30*12\/15\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(0 + -4 + 2). Suppose 0 = m - 56 + 39. Suppose -5*y + m = 2*t, -4*y + t + 9 = -2*t. Put k, y, 4, 0 in decreasing order.\nAnswer: k, 4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 20960 = 8*k. Suppose -1045 - 1904 = c. Let s = c - k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00548620699 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -40*m**3 - m**2. Let o be l(-1). Suppose 5*f - 54 = 2*a, -3*f - 3*a = -2*a - o. What is the units digit of f\/(-8)*28\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.39192 + 0.39167239. What is n rounded to 6 dps?\nAnswer: -0.000248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -108*o + 841. Let v(m) = 194*m - 1682. Let y(d) = 9*a(d) + 5*v(d). Let c(u) = u**2. Calculate y(c(z)).\nAnswer: -2*z**2 - 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 197, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*t - 133, 3*t + t + 98 = a. Let x be ((-12)\/15)\/((-1)\/t). Calculate the common denominator of (234\/27)\/(x\/27) and 13\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759 is divided by 345.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 677.44 - 678. What is a rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 1 - 12*d**3 - 8*d - 1.\nAnswer: -12*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39353 by -1711.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 300*p + 663878. What is f(656)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 17*y - 128 = -21*y, 4*s = -y - 128. Which is the second smallest value? (a) 5 (b) 2\/3 (c) s (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 greater than or equal to -294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -3*l - 25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.52148636 times -0.1\nAnswer: 0.052148636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 453303, 453096, 452889, 452682?\n\"Answer: -207*l + 453510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t**4\/5 - 18*t**3\/5 - 2*t**2 + 18*t\/5 - 4\/5 = 0. What is t?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-1)*u)\/u)**(-6))**(4\/5)\/(u*((u\/(u\/(u**5\/u)*u))\/u)\/u*u*(u*u**(-6))\/u*u**(1\/4)*u*u\/u**3) assuming u is positive.\nAnswer: u**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.126 at least as big as 6451\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-72)*3)\/(-7 + 1302\/189)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 6:04 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:01 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123543060 and 12.\nAnswer: 123543060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*s**2 + 38153*s - 15*s**2 - 38153*s - 51*s**2 - 4*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z - z + z)*(5 - 3 - 1) - 12*z + 8*z + 2*z)*(-2 - 2*z + 16*z - 8*z + (-4*z - 2*z + 5*z)*(2 + 4 - 4)).\nAnswer: -4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/16 - (4356\/(-32) + 2). Let k = 875 - r. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 + 13*s**2 + 13*s + 12. Let w(d) = d**3 + d**2 + d + 1. Let j(v) = -k(v) + 4*w(v). Let o be j(-8). Solve 4 = -g - o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 12117402?\nAnswer: 169643628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000182482 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829893 is divided by 29627.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 16 (b) -0.5 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 + -83?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 216 = 4*d, 0 = -3*g - 2*d + 60 + 106. Let z be (-22)\/1 - 0\/(-1). Let y = z + 42. Calculate the remainder when g is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**14\/m**(-6\/11) assuming m is positive.\nAnswer: m**(160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 847754?\nAnswer: 1\/847754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 139192 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -223266 divided by 6\nAnswer: -37211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057901591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103960957 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 27*h - 208 = 0. Suppose -h*s + 234974 = -176274. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/5 - (3 - 38\/10). Suppose 14*u + u - 30 = m. Solve u*a = j + 6, -j = 4*a + 4*j - 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/40 - j**5\/2 - 2*j**4 + 335*j**2. Suppose u(s) = 0. What is s?\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 - z + 4. Suppose 0 = -6*u + 3*u - n + 13, 0 = 2*u - 2*n - 6. Is 12 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 6*k**3 + 0*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (-1000)\/245)\/((-30)\/(-105)). What is the third biggest value in o, 2, -321?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*u - 2)*(-30 + 30 + u**2)*(55 - 7*u - 55) to the form a*u**3 + i*u**4 + l*u**2 + b*u + q and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 68. Find the second derivative of -28*a - 16*a - l*a - 122*a**3 + 9*a wrt a.\nAnswer: -732*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91 + 93. Solve 2 = c, t*o - 2*c = c - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -633.1318 - -633. Round h to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185654323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let u = -34.4 - -34.2. What is the closest to q in u, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = 2*a + 5. Let t = a + -83. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 468 - 951. Let g = -350 - z. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913393903.\nAnswer: 913393903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 209.\nAnswer: -3\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = -5*g. What is the fourth biggest value in g, -3\/4, -5, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 4.7. Let l be ((-1)\/5)\/(2\/6). Let g = 0 - 0.2. What is the third biggest value in f, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**5\/35 - 89*v**4\/28 + 61*v**3\/7 + 89*v**2\/14 - 26*v - 2870. Let q(h) = 0. Calculate h.\nAnswer: -91, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109952 + -72951. Let v(z) = 1 + 6 + 6 + q*z - 12. Let c be v(-1). What is c rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 - 167. What is the second derivative of -2 - 4*a + a + 7*a + i - 43*a**2 wrt a?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11932771397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 r when four letters picked without replacement from {r: 7, m: 12}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000098557 rounded to six decimal places?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*l - 8. Solve -h = 4*p - 13, -4*p = -h - 12 + l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*t + 36, -4894*n + 4893*n + 4*t = -2 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f. Suppose -3*y - 3 = -f*y. Suppose 0 = 126*g - 123*g - 12. Sort g, y, 2, -5 in increasing order.\nAnswer: -5, y, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127\/36 - (-116)\/522\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2023 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 20, -3*q + 52 = -0*q + 2*j. Let g be 10\/25 - (-1396)\/10. Suppose g = 5*v + b, -v = 6*b - b - 28. What is the greatest common divisor of v and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*z + 2*z + 4*u, 3*u = -12. Let f be 5*(-2)\/z*(4 - 0). Let o(g) = 2*g + 1. Let n(p) = p + 1. Determine f*o(y) - 7*n(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28188097.\nAnswer: 7, 167, 24113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*d - 230*d + 4996 = 1612 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2690?\nAnswer: -3\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -34 + 2*w + 18 + 24. Determine p(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from nnttttt.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/13)\/u)\/(u*u*u**(-1\/3)*u)*(u**(-1\/5))**(-1\/10))**(-38) assuming u is positive.\nAnswer: u**(140809\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 755241.8 nanoseconds?\nAnswer: 0.7552418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 - 9*g**3 + 1235 - 1235 + (1 + g**4 - 1)*(0*g + g - 3*g).\nAnswer: -4*g**5 - 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.08 - -58. What is the nearest to -1 in 1\/11, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 - 904*g\/3.\nAnswer: 4*g*(g - 226)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52959 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 975678029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28394 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*m - 1 = -5, 4*n + 5*m + 57 = 0. Let y be (-27)\/2*n\/6. Suppose -y = -2*x - 2. Solve -u - 3*h = -4*h - x, 5*u = -2*h + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 5:15 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 - 5*u - 1. Let z be f(-4). Let l be (-356)\/(-6) - 24\/(-36). Let w = l + z. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 60 = -0*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*w + 3 + 4*w - 72*w**2 + (4*w + 20 - 20)*(0*w - 2*w + 4*w) as o + s*w**2 + y*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 1372517?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -167*u**3 + 94712*u - 35671070 wrt u?\nAnswer: -501*u**2 + 94712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2 + 0*b + 1\/2*b**2. Is i(5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 33, 13, -15?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4967 + 7835 - 763 - 780)*(2 - 2 + i) + 3 - i - 3 in the form w + g*i and give g.\nAnswer: 11258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-209)\/(-44) + 3\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 9:35 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*c + 57 = -38, -696*c + 701*c - 10 = 0 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.5 (b) -3 (c) -196\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, e: 5, y: 2, s: 4}. Give prob of picking 2 s and 1 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*k, -19*y + 14*y + 19 = -k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 6 - 11 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26788*g + 370 - 1505 = 26886*g + 1609 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008322 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 593 = o + 2*o, 4*y - 203 = o. Suppose -2*q - 124 = m, -128 = m - 0*m + 3*q. Let u = m - o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100429\/6 - -50219\/3. Factor 1 + y*v + 0*v**2 - 1\/2*v**3.\nAnswer: -(v - 2)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3370*f - 3379*f + 629*f**2 + 6749*f - 5775*f**3 - 630*f**2.\nAnswer: -5775*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19996558.\nAnswer: 2, 9998279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2 * 0.5.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 - 124*r\/9.\nAnswer: 2*r*(r - 62)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**2 + 2*w - 21. Calculate the remainder when p(-11) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 85177721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-6 - -4) - (28 - (-2 - 77)) - -10?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*z**2 - 29*z**2 + 3*z**5 - 6*z**5 wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781249 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -194 + 201. Calculate the greatest common factor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/(i\/i**(-1))*(i**1)**3)**12 assuming i is positive.\nAnswer: i**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -64.74 * 0.4\nAnswer: -25.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71619*o + 28622*o + 17581*o - 73367*o.\nAnswer: -98783*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112380 is divided by 28091.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11011100221 (base 3) to base 9\nAnswer: 134327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b1 - -5?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*v + 14*v - 15*v)*((-2 + 1 + 0)*(0 + 1 + 1) + 0 + 1 + 1 - 26 + 66 + 22) as m + z*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 7234 - 946. Let x = z - -51959\/33. What is the common denominator of -83\/30 and x?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -599 by -60.\nAnswer: 599\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 49*s**2 + 7*s + 2*s + 2 + 41*s**2. Let d be q(2). Solve 0*i - d = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2106598 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/1716 + 122267\/3432. Let b = -36 + l. What is the third smallest value in b, -5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49791.\nAnswer: 3, 7, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -61c0 (base 15) to base 8\nAnswer: -50257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2215*c - 2227*c + 18480. Calculate the greatest common factor of 2860 and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34\/15 - -2\/5. Find w, given that -f*w**3 - 4*w**2 - 8\/3*w - 2\/3*w**4 - 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*t - 66*t + t**2 + 90*t - 3892 + 4073 + 93*t.\nAnswer: (t + 1)*(t + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y**2 + 9*y. Let t(d) = d**2 + 3 + 0*d**2 - 3. Let o(b) = -q(b) - 6*t(b). What is the second derivative of o(r) wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2700 - 18258 = -42*b. What is the remainder when b is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 39. What is b(0)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 83*r + 48. What is the remainder when i(-68) is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37299 + 1843*s + 37299)*(-8 + 6*s**3 + 8) + 2*s**4 + 0*s**4 - s**4 in the form n*s**3 + y + t*s**4 + i*s + k*s**2 and give t.\nAnswer: 11059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -22, -38, -56, -76?\n\"Answer: -c**2 - 11*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2\/13 (c) 1\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 4*v + 30 = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.34 and 30.\nAnswer: 31.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1680 - -1021. Is 73 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -14.2. Let j = -0.9 + y. Let h = j + 0.3. Which is the second smallest value? (a) 0.4 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -22. What is the remainder when 49 is divided by (-2)\/((-4)\/18) - j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34379, -69970, -105549, -141110, -176647, -212154, -247625?\n\"Answer: h**3 - 35598*h + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 + 7*u**2 + u - 1. Let x be z(-3). Solve 3*a = -2*q + q, 5*q = x*a - 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-7)\/2*(-40)\/(-70). Suppose 3*a - 12*a = w. Suppose a = 8*z + 137 - 801. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522875 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*q + q. Let x = -67 + 63. Let o be (-2)\/(-6)*1*-2. Sort o, q, x in decreasing order.\nAnswer: q, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -1. Let y(p) = -2*p**2. Let d(b) be the second derivative of 7*b**4\/4 - 14*b. Calculate r*d(j) - 22*y(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-1)\/4*9\/(-6)*55184\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169607?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2845308 * -0.06\nAnswer: 170718.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 558*o**2 - 17*o + 717*o**2 - 3.\nAnswer: 1275*o**2 - 17*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22753? (a) 0.1 (b) -10\/7 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -507?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537247919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0846 and 775.39332244.\nAnswer: 775.47792244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -882.084 from -0.403.\nAnswer: 881.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -533*g**3*j**3 + 10*g**3*j**2 - 7*g**3 + 26536*g**2*j**3 + 2*g**2*j**2 - 2*g**2*j - 2*j**3 wrt g.\nAnswer: -3198*j**3 + 60*j**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x - 64*x = 66 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 13, -2\/7, -3, 5, 0 in increasing order.\nAnswer: -3, -2\/7, 0, 5, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72\/169 + -136527\/338. Let p = 406 + g. Is 4 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {k: 1, u: 4, h: 2, d: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14667*c - 228. Let n(a) = -5*a. Give n(j(m)).\nAnswer: 73335*m + 1140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 1. Let h be 1\/2*2 + 3. Let a be l(h). Suppose 4*k - a - 29 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from bdxvt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48d + -22a?\nAnswer: -6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/(5181\/(-110) - -47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -55 (b) 11 (c) 0.3 (d) 0.0052\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 7*t - 9. Let z be 24000\/(-108) - (-6)\/27. Let o = 227 + z. Determine j(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3787 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: Calculate (27 - -5) + (4 - 4) - 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107082 and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1807\/136 - 228\/17. What is the third biggest value in -1\/5, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/189?\nAnswer: -4\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 125693*v. Let t(m) = -38*m. Determine t(o(a)).\nAnswer: -4776334*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 12, -3, -5, 5 in increasing order.\nAnswer: -5, -3, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 1, z: 1, b: 1}. What is prob of picking 1 n and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.86 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose l - 1 = z. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + ((-122)\/244)\/(10\/4). Which is the closest to -1.1? (a) 45 (b) r (c) 0 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90746\/2198 - (4\/7)\/2. Let m = 7 - 5. Suppose -5*h + m*t = -605, -5*h = 4*t - 3*t - 620. Calculate the greatest common factor of f and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003405123 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 3:10 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 1, k: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 4*v + 6. Let u(c) = -c**3 + 2*c**2 - 3*c. Let t be u(0). Suppose t = -2*k, 6 = 3*g - 3*k - 0. Let a be i(g). Solve 1 = y + a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600981042?\nAnswer: 2, 1777, 450473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156860820 divided by -15.\nAnswer: 10457388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5 and -39\/71.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 + 3*c. Let k be (76\/(-133) + 26\/21)*3. Let x(g) = -g. Calculate k*s(l) + 6*x(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4360 and 450?\nAnswer: 196200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.69, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49836695 + 49836520.000099. Let d = 175 + y. What is d rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1351400 - 3?\nAnswer: 1351364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664528*k - 15111 = 664735*k for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70789, -141572, -212365, -283174, -354005?\nAnswer: -424864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 12:30 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttii when four letters picked without replacement from tttititititi.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842606 a multiple of 692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -21 + 9. Let o(k) = 2*k**2 - 10*k**l + 17 - 2*k**2 - 12*k + k**3 - 4*k**2. Calculate the remainder when o(15) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 0.10027\nAnswer: -0.90243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13688*p = 4*t - 13691*p - 126, -172 = -4*t + 4*p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*b = -6*b + 819 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = -4*k - 5*c, 652 + 267 = 5*k + 4*c. What is the highest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1423 + -10?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Suppose n*d = 5*q + 45, 38 = 3*d + 4*q - 7. Let b = 84 - d. What is the remainder when b is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -14 + 3 + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 4311491 + 4*b**2 + b**2 + 4332920 - 7*b**2.\nAnswer: -2*b**2 - 2*b + 8644411","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3234 divided by 49?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {k: 5, c: 1, i: 7, j: 2, p: 1}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 12*q - 36. Determine d(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-153))\/((-1)\/4).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 87. Let l(b) be the second derivative of b**4\/12 - 192*b. Calculate l(z(c)).\nAnswer: 4*c**2 - 348*c + 7569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 715, 1324, 1937, 2554?\n\"Answer: 2*t**2 + 603*t + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44906 by 5.\nAnswer: 44906\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2612*m + 2605*m + 140 = 0. Is m > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13277101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1356589886 to the power of 1\/3, to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.219 - 3.219. Let x = -83 + 333\/4. What is the closest to x in z, -0.1, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 2. Let t be a(-1). Let x = 3\/22606 + -35898343\/113030. Let i = 317 + x. Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {p: 3, n: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (2\/(-9) - 884\/234). Sort 2, -3, 1, a in decreasing order.\nAnswer: 2, 1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x + 49. Let s(b) = 8*b + 48. Determine 3*c(a) - 4*s(a).\nAnswer: a - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -93 - -108. Solve -18*g + p*g + 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2116545.9 rounded to the nearest 10000?\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19370, 38732, 58090, 77444, 96794?\nAnswer: 116140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 14*d + 23. Let y be o(13). Suppose 0 = 7*p - y - 55. Which is bigger: p or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26901880 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 + 2424 - 8016 = -103*u + 9132 for u.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -694096 - -694104.99986. Let l = -8.87 - 0.13. Let q = l + f. Round q to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9229 + -0.4229. Which is the closest to 2.3? (a) -1\/5 (b) -1 (c) t (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 p when three letters picked without replacement from eeeepeeepeeepp.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 5*y - 30, -5*y = 4*g - 6. Let n(b) = -b - g*b + 3*b. Let c(v) = 2*v. What is n(c(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -5*u - a + 13, -2*u + 4*a = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -20830\/7 and -7680 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*f = -508, -3*b - 4*f - 429 + 1953 = 0. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/18461, -1.3, -3\/68, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 + 316*x**2 - 24544*x + 354224 = 0. What is x?\nAnswer: -131, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 1, -195 in ascending order.\nAnswer: -195, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300179 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-433072.\nAnswer: -99606.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-63))\/((-6)\/126). Let r(x) = 4*x - 3. Let w be r(2). Solve -4*u + 20 = w*f, 4*f + s*u - 3 = 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - 58\/6)\/(7 + -1). Let v = 4.9 - 3.9. What is the nearest to v in 3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 7*j**2 - 8*j + 15. Let f be i(6). Is -1*(-70*f + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 2*o + 3. Let n be p(2). Let y(k) = k**2 - 6*k - 10. Let u be y(8). Let f = u + -6. Solve -27 = 3*l - n*a, -3*l + f*a = 4*a - 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1631*p + 496. List the prime factors of x(-3).\nAnswer: 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*u - 17543 - 2045 = 0, 5*u = -30. What are the prime factors of y?\nAnswer: 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.08 - -0.08. Which is bigger: 0.1 or b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10691006 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1506 = 756 + 775. Solve 2*v = -6, 3*w - a*v + 12 = -7*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:38 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235898 is divided by 769?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 divided by -74?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 5*w - 26. Suppose -4*j + 0*j = 3*l - 20, 2*j = -8. Is 6 a factor of q(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -782*f - 4068. Calculate c(-5).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k + 14 = 0. Find the common denominator of k + 2 + 2 - (-292)\/(-120) and 113\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 18771 = 2*c, -138*c + 136*c + 5*v + 18777 = 0. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -8*w**2 - 53*w - 7. Calculate z(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 2, c: 4, h: 4}. What is prob of sequence pc?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13*w + 437. What is u(-34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 25 = -7*s. Let m = s + -105. Does 16 divide ((-2)\/(-2))\/((-5)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165911 and 88101?\nAnswer: 58234761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 - 6)) + (-4334)\/1576?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 128 = 3*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -465, -1864, -4199, -7476, -11701?\nAnswer: -16880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3099*l**2*y**4 + l**2*y**2 + 2*l*y**5 - 237*l*y**2 + 2*y**2 wrt y?\nAnswer: 74376*l**2*y + 120*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885*s**2 - s + 3 + 3*s + 0.\nAnswer: 885*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(625) + 1*sqrt(625) + sqrt(625))*-4)\/(sqrt(25)\/(sqrt(5) + -2*sqrt(5))*5).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 3*n**2 + 0*n**6 - 55 - n**4 + 4\/3*n**3 + 0*n**5 - 4\/7*n**7 + 0*n. Find the third derivative of k(a) wrt a.\nAnswer: -480*a**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/201 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 73*v - 8. Let d be h(2). Calculate the highest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y**4 - 149*y**2 - 191. Let g(a) = 3*a**4 - 50*a**2 - 63. Let k(u) = 7*g(u) - 2*i(u). What is the first derivative of k(m) wrt m?\nAnswer: 12*m**3 - 104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = 0. Let o(s) be the third derivative of s**6\/120 - s**5\/60 - s**4\/24 - s**3\/6 - 267*s**2. Give o(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 1. Let m(g) = g - 8. Suppose 0*w - 3*w + 3*o = -6, -w + 3*o + 4 = 0. Let z(j) = w*m(j) + 3*f(j). Is 7 a factor of z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2937 is divided by 734.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 28*c**2 - 18*c - 21. Let y be z(10). Let j(a) = -a**3 - a**2 - a. Let t(h) = -4*h**3 - 2*h**2 - 4*h + 4. Calculate y*t(v) + 2*j(v).\nAnswer: 2*v**3 + 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/79234 or 0?\nAnswer: -1\/79234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 230178376.3813 + -0.22\nAnswer: 230178376.1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 - 2*i + 3. Let n(k) = k**2 + 1. Let m(p) = 6*n(p) - r(p). Let l be m(0). Solve l*x = 4*x - 5*v + 14, -x - 2*v + 7 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-44 + (28 + -37 - -2))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345223 and 15652482?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 2*v + 8, 2*o = 4*v + 10. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**3*p**3 - 2*o**3*p + 3*o**2*p - 7*o**2 - 128*o - 12723*p**2 wrt p?\nAnswer: 24*o**3*p - 25446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - l)*(-l**3 - l**3 + 5*l**3 + (l - 2*l + 3*l)*(l - l**2 - l) + 2*l**3 + l**3 + 4*l**3 + (-2*l + 4 - 4)*(3*l**2 - l**2 + 0*l**2)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 20 + 31 = 2*x, d = -3. Suppose -i - c - 25 = -4*i, 43 = 5*i - 2*c. Calculate the remainder when x is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -551, -550, -549, -548?\n\"Answer: g - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/4 + (244\/30)\/((-534)\/445).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(3\/54). Let a be 348\/96 + z\/16. Solve -a = -3*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1693.987383 - -1829.08513388. Let f = l - -8.90225902. Let o = 144 - f. What is o rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 40 - 49 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -181 - -186. Sort -5, 1, b, 45 in descending order.\nAnswer: 45, b, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.706 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, a: 2}. What is prob of sequence aaf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100 (base 6) in base 13?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 3351224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/8, 2\/9, -605100.\nAnswer: -605100, 2\/9, 3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 51090 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/3, -1, 47.\nAnswer: -1, 32\/3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -8, 0.4, 563?\nAnswer: 563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*l - 745, 4*l + 5*h + 1850 = 9*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*w - 124*w + 90. Calculate the lowest common multiple of 12 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 5:26 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33.1 in 7, -0.5, -0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41005749221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/40)\/(9\/9).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-2))\/(1 - -1). Let t = -2.1 + 7.1. Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 27 = -3*r + 6. Which is the nearest to 5? (a) 0 (b) 0.3 (c) -0.5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49786863?\nAnswer: 3, 7, 17, 139459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63781321 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/15 and -109\/5718402?\nAnswer: 28592010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -3*i**5\/20 - 5*i**3\/2 + 12*i. Let g(b) be the second derivative of t(b). Let o(y) = 2*y. What is g(o(v))?\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1591 = 15*k + 6061. Is k > -297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 104312.9, 6, -1, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 0*x**2 - 1\/2*x**3 + 11*x + 0 - 1\/4*x**5 + 1\/4*x**4. What is the hundreds digit of m(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6867 - 6868. Let f = 155 + -154.99. Let c be (1 + (-22)\/14)\/2. What is the closest to f in 1, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14\/(-10) + 1 + 2170\/175 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34217220?\nAnswer: 2, 3, 5, 383, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 26. Let n = z + 18. Which is the biggest value? (a) -0.1 (b) -2\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 283926 and 6162?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 11 - 1 = 3*v - 5 + 13, 3*s - 44 = 5*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-18)*((l**(11\/4)*l)\/l)\/l)\/(l**(-4))**(-36\/7) assuming l is positive.\nAnswer: l**(-1003\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/6 - (-1 - -187). Let l = 264 + r. Does 38 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 115280524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 10 = -f, -f + 208*n + 1 = 210*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/((-410)\/(-24)))\/(2\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 6*a - 3*a)*(125*a + 52*a + 14*a) + 3*a**2 + 2*a**2 - 4*a**2 to h*a + b*a**2 + u and give b.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6878574 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 10819.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**3 + 2*z**3 + 0*z**3 + 3*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 460*w**2 - 935*w - 470.\nAnswer: 5*(w - 94)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 26 - 7)*(-413 + 51*o + 413).\nAnswer: -1887*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 28158 + 26382 = 0. List the prime factors of j.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*o + 0 = -8, 3*l - 9 = -2*o. Let g = -1113 + 1115. Suppose 9 = 3*y, -g*f + l*f - y = 33. Solve -3*a = a - f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.12 (b) 3 (c) -3.9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 26 = -11. Let q(h) = h**2 - h - 1. Let y be q(-1). Sort i, -9, y in ascending order.\nAnswer: -9, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 1, e: 2, x: 2, b: 4}. Give prob of sequence oobx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211151 (base 8) to base 11.\nAnswer: 48863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/352 and 149\/216.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 + 2*d + 1. Let m(s) = 319*s**2 - 12*s - 6. Let c(a) = -6*b(a) - m(a). Let i(z) = z. Determine i(c(r)).\nAnswer: -349*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -7\/4*s**3 - 9\/8*s**4 - 66*s + 0 - 3\/2*s**2 - 3\/8*s**5 - 1\/20*s**6. Factor t(g).\nAnswer: -3*(g + 1)**3*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 6*d - 18. Let s(t) = 227*t - 58. What is the hundreds digit of s(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwtllmtmtxmtttxkl. What is prob of picking 1 k and 1 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m + 1. Let o(b) = -b**3 + 13*b**2 - 11*b - 8. Let z be o(12). Let a(l) = -2*l + 4. Give z*h(r) - a(r).\nAnswer: -4*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14592 and 17753856.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*j - 6237, 2*j - 3*d - 6373 + 2215 = 0. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-5)\/20*(-3)\/6\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 19. Let z be j(-9). Suppose 3*q = -2*q + 5. Let n(a) = 2*a - 3*a + 2*a + q. Let t(y) = -2*y - 5. Calculate z*t(i) + 3*n(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1105 = 12*f - 54*f - 43*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 13333113113?\nAnswer: 13333113112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581416.\nAnswer: 2, 197677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(76) + -2 + sqrt(76) + (2*sqrt(76) + -5 - sqrt(76))))**2.\nAnswer: -1008*sqrt(19) + 11385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409, -1599, -3585, -6367, -9945, -14319?\nAnswer: -19489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56501788 divided by -14125447.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - 49638.53424\nAnswer: -49638.58424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1894747 is divided by 604.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/6037621 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 12*d - 69 = 0. Let y(a) = a**2 + 22*a + 1. Calculate the smallest common multiple of y(d) and 33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 4*x + 6. Let l be w(0). Let z(d) = 14*d - 82. Let y be z(l). Put y, -3, -12\/11, -0.3 in increasing order.\nAnswer: -3, -12\/11, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/6*(-108)\/(-30). Suppose -4*f + 18 = 4*y + f, 2*f - i = -4*y. Let l(m) = -513*m + 513*m + 1 - 6*m**y. Give l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41595431 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -222. Suppose 0 = 5*h - q - 107. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160665 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-3) - 1*-28. Suppose 5*j - 20 = -5*o - 0*o, 4*o - y = -5*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - 0.3. Let j be 2\/(-12) + -3*37295\/990. Let s = j + 113. What is the closest to 0 in p, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a - 34 - 32 - 31 - 8*a + 92 - 23*a**2 - 2*a**3 to the form g + b*a + f*a**3 + j*a**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.55 in 5\/8, -0.02, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 10*a**2 + 3*a - 21. Let m be j(10). Let t be (3\/2)\/(m - 396\/48). Solve -o = -3*o - t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 1 - 5. Let p = 11 - r. What is the remainder when 29 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6)*50 - 3. Let k = a + 30. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 2. Let f(v) = -4*v**2 + 3*v - 87*v**3 + 85*v**3 + 0*v - 4*v - v. Give f(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -10, 144, -85?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-738)\/(-861))\/((-3)\/7) + (-46)\/(-15). Suppose 0 + i*j**3 - 2\/3*j**5 + 8\/15*j**2 - 14\/15*j**4 + 0*j = 0. What is j?\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*h**3 + 96*h + 2304\/5 - 87\/5*h**2.\nAnswer: 3*(h - 16)**2*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 176 = 9*z. Let m = 49 - z. Solve 0*d = -3*x + 2*d, -3*x = -m*d - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4531959*f**2 + 3589488*f wrt f?\nAnswer: -9063918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:57 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2301)\/48321)\/(86\/84).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*g**2 + (-g**2 - g**2 + 4*g**2)*(-2 + 2 + 2) + g**2 - g**2 - 2*g**2)*(4*g + 4*g - 2*g) in the form a*g**3 + s + i*g + q*g**2 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 4*i = 6*r + 1715, -683 = -2*r - i. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -574067\/3 at most -191355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 49\/70 + 6\/(-30))*202. What is the greatest common factor of i and 23533?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u + 19*u + 11*u - 52*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:47 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 - 60*x**3 + 5502*x**2 + 342236*x + 336675 = 0 for x.\nAnswer: -67, -1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1 + 3 + sqrt(153) + 0 + -2 + -3 + sqrt(153) + 2 + sqrt(153) + sqrt(153) + -5*sqrt(153)*2)**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 10:19 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*y + 5. Let h be (-2)\/y + 24\/(-4). Let a = -85 - -107. Sort a, h, -3 in ascending order.\nAnswer: h, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 1 (c) -18 (d) -0.004113 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 14*r - 223*r**2 + 1130*r**2 - 4 + 1969*r**2.\nAnswer: 2876*r**2 - 14*r - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42627.316 - 42549. Let k = 0.116 - o. Round k to the nearest integer.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i. Let g(d) = -3*d. Let s = -3 - 1. Let a(v) = -v. Let t(l) = s*g(l) + 11*a(l). Calculate t(y(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1303920 or -7823513\/6?\nAnswer: -1303920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + (-2)\/10*343. Let x be (-3 + k)*5\/730. Let d = x + 3647\/438. Calculate the common denominator of d and -61\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3\/(-36) - (11706\/(-504) + 22)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 - (-75686 + 8)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*n + 1243 - 1274 = 0, 2*d + 2*d + 31*n - 72 = 0 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/(64\/8960*60)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 116233 divided by 4\nAnswer: 116233\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*i + 4 = 2*i, k = -2*i - 5. Which is the nearest to 0.1? (a) 2 (b) k (c) 228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -411.47964 and 0.4.\nAnswer: -164.591856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r - 26*r + 2 + 14*r + 2*r**2. Let f(m) = -6*m**2 - 7*m - 7. Determine -6*f(g) - 21*o(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9989, 4, -5 in ascending order.\nAnswer: -9989, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**2 + 0*d**2 - 4*d**2 + d**2 - 5*d**2. Let q(u) be the first derivative of -21*u**2 + 3. Determine q(v(w)).\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -20*p**2 + 48*p - 343. Calculate i(6).\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 103701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 5*w - 53. Suppose -5*p + 145 = -9*n + 4*n, 0 = -p + 5. What is the remainder when u(n) is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -856860 divided by 42843\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -72860042 divided by -3\nAnswer: 72860042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -46. Let m be s - ((-8)\/2 - -3). Is m smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*n + 2*n + 0*n)*(-2*n + 7*n - 4*n) - 1603*n**2 - 133*n - 1606*n**2 + 3212*n**2 to h*n + x*n**2 + l and give h.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -273 - -275. Let x be p\/13 - (-4168)\/(-29120). Is 1 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*h - 52 + 12, 4*r - 16 = 0. Suppose -h*z + z = -50. Calculate the remainder when 30 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57*((-7)\/(-21) - (-4)\/6). Calculate the common denominator of -13\/28 and (o\/95)\/(8\/78 + 0).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 53. Let u = x + -21. Sort 1, -1, -5, u.\nAnswer: -5, u, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) - (sqrt(76) + sqrt(76)*-2)*2))) + sqrt(76))\/(sqrt(20)\/(-2*sqrt(5)) - sqrt(4)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 13*l**2 - 11*l + 10. Let q = 4 - -5. Is s(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 6*h + 1. Suppose v = 1 + 7. Give i(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 19*f = 49 + 24, 46 = 2*y - 4*f + 4*f + 2*f for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:55 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2039314008.\nAnswer: 2, 3, 84971417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Let i = -8 + p. Let x = -4.01 - i. Put x, -3, -0.1 in decreasing order.\nAnswer: x, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(-2 + 2 + 6) - 1 + 6 - 2)*(-100*a - 9*a**3 + 100*a).\nAnswer: 27*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31\/4 or -14?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -747*x**3 - 4*x**2 - 153*x**4 + 375*x**3 + 2*x**2 - 2 + 373*x**3 - 3*x + 2*x to f + m*x**4 + h*x**2 + o*x**3 + q*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 10*y - 5. Calculate g(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + ((-56)\/196 - 200\/(-14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 6, q: 2, c: 4, l: 1, x: 1}. What is prob of sequence jxl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Suppose -c*b - 2*k = -0*k - 8, -2*k + 8 = -5*b. Let v = 14 + b. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/5 + 4889*s**2\/5 - 236929*s\/5 + 232039\/5 = 0. Calculate s.\nAnswer: -4937, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 71007 (base 9) to base 12\nAnswer: 23007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose f - 3*f + 43 = 3*a, a + 2*f - 17 = 0. What is the units digit of c*15\/(-10) + a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 282703590 and 5820.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8\/5 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1*r*r*r*r**(2\/13)*(r**(-14)\/r)\/(r*r*(r*r**4)\/r) assuming r is positive.\nAnswer: r**(-219\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57015 divided by 8145.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-15) - (-79187)\/15) + -6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414977*b - 414971*b = 210 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5324*p - 14527*p - 249306 = 82002 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 - 95 = 0. Let f = -14 + s. Suppose 19 = 7*b - f. Solve -4*i - 10 = 2*l, b*l + i + 0 = 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736 and 227516.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 3*o - 6, -v = v - o + 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239119, -239115, -239107, -239095, -239079, -239059, -239035?\nAnswer: -239007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-17\/5)*i**(-6) assuming i is positive.\nAnswer: i**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 32\/(-6)*((-5577)\/(-52))\/(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1862)\/(-28) + -2*(-2)\/(-8). Suppose -9*g = -1671 - o. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -5*b**2\/2 + 14*b + 59. What is the remainder when 230 is divided by g(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 75.270411ms?\nAnswer: 0.0000209084475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18157 + 2 + -15)\/((-18)\/93000). Round l to the nearest 100000.\nAnswer: -93700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 5*b**2 - 10*b - 21. Let g be w(-6). Find the first derivative of 8 - 24 - 4*j**3 - g*j**3 wrt j.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (2 - 3)) + 197 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 6 + 1 + 2 - 2*o - 7 as c*o**2 + b*o**3 + i + v*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202337?\nAnswer: 31, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w + 165 = 0. Find the first derivative of 0*u**3 - 12 - w*u**4 + 25*u**4 + 0*u**3 wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o + 1 = -5*z - 36*o, 3*z + 5*o = 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 9656610.\nAnswer: -2\/4828305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -159. What is the third biggest value in -385, u, -2\/3?\nAnswer: -385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 7. Let x(k) = k**2 + 3 - 5 + 0 + 1. Give o(f) - 5*x(f).\nAnswer: -f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 755*f**2 - 18*f - 37. What is the tens digit of y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 - d. Let f(a) = -a**3 - 2*a**2 - 3*a. Let h(m) = -f(m) + 2*g(m). Let n(z) = -10*z**3 + 12*z. Calculate 12*h(o) - n(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154218 and 5243412.\nAnswer: 5243412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96655251*v**4 + 35645277?\nAnswer: -386621004*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/((-200)\/(-375)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54\/4 + 1\/(-2). Suppose l = j - 21. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 9961708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + 18. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 16432, 50 in ascending order.\nAnswer: 1, 2, 50, 16432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11826 divided by -31\nAnswer: -11826\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-6 - (-4 + -5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 715*d**3 + 1108*d**2 - 11. Let j(c) = 238*c**3 + 369*c**2 - 4. Let i(x) = -11*j(x) + 4*k(x). What is the third derivative of i(r) wrt r?\nAnswer: 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = -5*i + 3*k, 5*k + 234 = 5*i + 784. Does 29 divide (0 - -50)*(-736)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, -64, -116, -190, -292, -428, -604, -826?\n\"Answer: -a**3 - 2*a**2 - 23*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 g, and 1 k when three letters picked without replacement from lklclgklxc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-2*c + 4*c - 5*c)*(0 + 5 - 2)*(0 - c + 0).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 27548428 divided by 12748\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = 0, 0 = -p + y - 1 - 1. Let q be -1 - p - -3*2. Let w be (-6)\/(-15) - (-23)\/q. Put 4, 1, w in decreasing order.\nAnswer: w, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 41. Let c be ((-4)\/6)\/(-1) - 20670\/(-234). Let z = -72 + c. Calculate the remainder when u is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 15. Suppose -3*p + 3*n = -p - 14, r*p = -4*n + 12. What is the second derivative of -4*z**4 - 4*z**4 + 2*z**4 + z**4 + p*z wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117385*b = -117285*b - 83 - 2117 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 4*d - d**2 + 5 + 1. Let b be r(-8). Let s be ((-5)\/2 + 2)*2. Is b != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667744205 take away 0.294?\nAnswer: -1667744205.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1003034331 - -3?\nAnswer: -1003034323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3, -62 = z - 2*z - 2*m. Suppose 350 = -51*n + z*n. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -24c6f0?\nAnswer: -24c6f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-6)*(-3181 + 0). Let t = s + 1591. Solve 1 - t*a**3 + 1\/2*a - a**2 = 0 for a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 10*p - 45 = 5*z, -5*z - 45 = 5*p. Suppose -9*o - 144 = -5*o. Let k be (-3)\/(-7)*(-63)\/o. What is the second smallest value in z, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*w - 9 + 24 = 0, -12 = -5*i + 4*w. Suppose t - 3*t + 8 = i. Let l be 34\/(-51) - (-1)\/(-3)*-8. Solve 25 = -5*k - t*z, -k - 2*k = -l*z - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 12 = -5*o, -58*o + 57*o = 3*z + 22*z - 72 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5)*(-380)\/(-38))\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60*-163887.5\nAnswer: -9833250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10625.648 and 1125.8231.\nAnswer: -9499.8249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let z(m) = m**3 + 6*m**2 + 5*m - 3. Let f be z(-6). Let c be 3\/2*(-242)\/f. Let s(g) = 1 - g - c*g - 1. Give s(x(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 + 10*n. Let r be 12 + (-2*6)\/3. Let k be j(r). Calculate the remainder when 59 is divided by k - (-4)\/((-12)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2202111012?\nAnswer: -2202111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = -5*m, 3*m = 3*g - 2*m + 20. What is the third biggest value in 13, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*u - 34 + 32, -y = 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172288 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 - 9. Let s = h - -129. What is the greatest common divisor of 92 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 817 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31820 and 12728?\nAnswer: 63640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 86 = -11*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.452 take away -721.0621251?\nAnswer: 719.6101251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 42, 114, 256, 492, 846?\n\"Answer: 4*s**3 - s**2 + s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10751712?\nAnswer: 2, 3, 111997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69042 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4077731.7 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 5 = h, 5*i - 22 = 4*h. Suppose -1 = 3*c + i. What is the remainder when c\/(-4) + (-335)\/(-20) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 3, x: 1, g: 1, c: 1}. What is prob of sequence xgd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*g + 1764 = 140*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 22*a - 36. Let q be y(-20). Let j be q - 4*4\/(-8). Suppose 10 = -2*t, -b = -j*b - 3*t + 45. Calculate the remainder when 107 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:27 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 32138379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*o = 0, c = o - 0*o. Suppose -2*i - 6 = c, 0 = 4*x - 0*i - 3*i - 21. Solve -x*b + 5 = r - 1, 2*r + 5*b = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 5*m + 5*m)*((-1 - 4 + 3)*(0 + 27 - 1) + 4 - 5 + 3 + (2 - 5 + 2)*(3 - 5 + 3)) to p*m + v and give p.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 351 + -207. Factor 147*z**3 - 3*z**4 - q*z**3 + z**4 - z**4.\nAnswer: -3*z**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/13, -4\/7, 4, -2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2. Let o(j) = 3647*j. Determine g(o(l)).\nAnswer: 106404872*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/393 (b) 0.5 (c) 2 (d) 4\/3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (166\/6)\/(6\/(-9)). Let g = -43 - m. Let v(y) = 2*y**3 - 2*y + 1. Let k be v(1). Which is the nearest to k? (a) 0.2 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9216.7183 to the nearest 100.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12586127?\nAnswer: 619, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/25 in 3, -1, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*-2*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17448*n + 1832045. What is u(-105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v + v - 12384 = 0. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*j - 2*a, -4412*a + 26 = -3*j - 4395*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -20*q**3\/3 - q**2 - q - 2. Let a be z(-1). Let j = a - -31. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 + -0.4. Let h be (1\/(10\/6))\/(30\/75). What is the second smallest value in q, h, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107762193 divided by 466503.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-6)\/n*n)**(2\/97) assuming n is positive.\nAnswer: n**(-8\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1855 take away 14.4?\nAnswer: -1869.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9567*0.13.\nAnswer: 1243.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9 - 1 + 2*m + 3. Let a(x) = -29*x**2 + 18*x + 18. Let f(k) = 34*k**2 - 21*k - 21. Let g(s) = 7*a(s) + 6*f(s). Give b(g(c)).\nAnswer: 2*c**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1279.04nm to centimeters.\nAnswer: 0.000127904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 8:28 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212.7249 milliseconds to seconds.\nAnswer: 0.2127249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d - 7226?\nAnswer: -72a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - 0.33. Let o = 0 - -1. Let x be (1 - (-1 + o))*-2. Sort x, -4, r in descending order.\nAnswer: r, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149233 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101 - 1101001?\nAnswer: -11100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.96 + -0.04. Suppose 3*g = 6*g - 2*l - 31, g + 3*l - 3 = 0. Let v be 51\/17 - 29\/g. Which is the closest to v? (a) -3 (b) m (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*m**3 - 382*m**2 - 96*m - 3805978 wrt m.\nAnswer: 75*m**2 - 764*m - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 13*w**2 + 10*w - 11. Let v be (-9 - -7) + (-10 - 0). What are the prime factors of r(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8157 is divided by 157?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2850*r - 2894*r + 836 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 15715\/6, -1\/3, -0.06, -5, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -2) + (-26 - (-23 - (-28 - -26)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 = 10*w - 294. What is the remainder when w is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -3*o + 3. Let i be d(3). Suppose -p + x = 8, -5*p + 2*x - 28 - 3 = 0. Let c = p - i. Let m(q) = 9*q**2 - q. Determine m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.4 and 17.79047987.\nAnswer: 7.39047987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730360?\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.122619 millilitres in litres?\nAnswer: 0.008122619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -366, 4, 22, -5, -2 in increasing order.\nAnswer: -366, -5, -2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*d = -14799, 97*d = -5*v + 92*d + 14745. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 3*sqrt(1216) + sqrt(1216) + -2 + 1))**2 - (-5 + (sqrt(1216)*-2 + 0)*6 + -4).\nAnswer: -288*sqrt(19) + 19501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 + (-8 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -31 (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-113)\/(-14) + (-3)\/42. Let h be ((-12)\/(-9))\/((-4)\/(-1008)*n). Calculate the greatest common divisor of 1302 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {f: 1, k: 1, c: 3, y: 3, g: 2, i: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*k - 0. Let r be 14\/6 + k\/6. Suppose r*f = -3*f + 20. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-3 - 0 - -4). What is the greatest common divisor of 8 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 6*i - 4. Let k(o) = 2*o**2 - 5*o - 3. Let m(u) = -4*g(u) + 5*k(u). Let r be m(1). Solve -4 = -5*w + 5*a + 1, 0 = -w + r*a + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = v + 37 + 8, -4*z = -v - 165. Suppose 0 = 8*r - 184 - z. What is the remainder when r is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 25*s + 28. Determine c(-34).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 7, 0.4119?\nAnswer: 0.4119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 36. Let f = 23 + u. Which is bigger: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 6 = -d. Solve -3*m - d = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 2*m - 9*m. Solve -5 + m = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*i = -310*i - u + 10, -5*i + 2*u = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35733386233 - 1.3.\nAnswer: 35733386231.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1254 greater than 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - i + 3468*i**3 - 1731*i**3 - 1735*i**3.\nAnswer: 2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -35.9. Which is the smallest value? (a) -2\/7 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y - 5. Let o(n) = -4*n**2 + 6*n - 6. Let d(w) = -w**3 - 2*w**2 - 8. Let f = -93 - -90. Let c be d(f). Let q be o(c). Determine l(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 4402839.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 175750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/60 and -113\/372?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 90724 divided by 4\nAnswer: 22681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6*(-9)\/6)\/(-89*(-9)\/(-102528)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 684161380 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26460 divided by 4.\nAnswer: -6615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11*q + 190 = 0. Calculate the highest common factor of q and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/1226?\nAnswer: -1\/1226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c + 240. What are the prime factors of 3\/9 + c\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 299321.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u - 1137*u = 27*u - 160680 for u.\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*m - 16*m - 15. Suppose m*w - b = 2*w + 2, -2*w = -5*b - 16. Let g = -0.01 - 4.99. What is the second smallest value in 0.3, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 6*m. Let v = 1 - 0. Let o = m - v. What is the nearest to o in -2, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/20 + x**4\/12 - x**3\/6 - 660000*x**2 + 6*x. Let v be z(0). What is v rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -9 (c) 841 (d) 18.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 12 - 19 - 14*q**3 + (2*q - 3 + 3)*(2*q**2 + 2*q**2 + q**2).\nAnswer: -4*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.101377146 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 109103840 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -3, -4 in descending order.\nAnswer: 88, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 158\/17, 7, 1, -1.14, -0.2, 4\/7 in decreasing order.\nAnswer: 158\/17, 7, 1, 4\/7, -0.2, -1.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Suppose 0*w - c*w + 16 = 4*s, 3*s - 14 = -4*w. What is the first derivative of 2*j + 0*j - s + 5 wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.16 * 0.4\nAnswer: 0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 868 and 38898986?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -133 + 10?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbsebqzkzzzsze. Give prob of picking 1 q and 1 e.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384.4 + -384. Which is the third smallest value? (a) 2\/19 (b) p (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 140, 249, 394, 581, 816?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2075 or 289?\nAnswer: -2075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6173*n + 288 = -6157*n. What is the remainder when 152 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -45, 394, 1, -1 in decreasing order.\nAnswer: 394, 5, 1, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3 + 65019*c**2 + 260040*c + 260028 = 0 for c.\nAnswer: -21669, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 704970 at most as big as 3524852\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3 - (-39)\/(-12). Let l = 5\/12 - y. What is the second biggest value in -3, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2337 - -2335. Which is the nearest to -1? (a) -1\/3 (b) y (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - -21) + 7 + (-17 - (-19 - -14)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2017717 - 3?\nAnswer: 2017714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 5*j, -4*l - 5*j - 3 = -0*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-273)*8\/14)\/((-7)\/735*-7)\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1602094*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 7. Let b be (-8)\/1 + 4 + -2. List the prime factors of d(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 892*k.\nAnswer: 4*k*(k - 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 185 in -1, 1, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9268128 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (44\/90)\/((-3)\/2). Let h = w - 2\/27. Let l = -1042\/9 - -116. What is the nearest to l in -4, -4\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -112*j**2. Let i(m) be the second derivative of -m**3\/6 + 1044*m. Give i(c(n)).\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 1. Let k = 35 + -33. What is the smallest value in 1\/8, b, k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 2 k when four letters picked without replacement from gggkkekkkeeee?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 10*q - 17. Let m be d(6). Solve 4*n = 3*k + m, 1 + 0 = -k + 2*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 34. Let s = 0.1 - -0.9. Let n be (-54)\/(-336) - (-2)\/16. What is the closest to s in n, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 23, -0.4, -5, 2, -107 in ascending order.\nAnswer: -107, -5, -0.4, 1.1, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1779 = -2*r, 2*r - 198 = k + 1577. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2772256 is divided by 1023.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 8*i - 16 in the form h*i + b and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*t = y + 2, -5*t = -5. Let q(k) = y + 2*k - 2 - k. Let u(c) = -26*c - 16. Let i(s) = 5*s + 3. Let z(j) = 16*i(j) + 3*u(j). Calculate z(q(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2 - f - 2. Let c(l) be the third derivative of -l**5\/10 + 5*l**2. Give z(c(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q - 8. Suppose 5*f - 58 = 4*b - 11, 0 = -f - b + 13. Let k(a) = a + 3. Determine f*k(c) + 4*x(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15993 at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1414 + 2205. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 931076 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-768 + 768 - 54*i**4)*(0 - 5 + 2) to l*i**4 + d + u*i**3 + q*i**2 + b*i and give l.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 12) in base 3?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*a + 10581 = 1141 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/120 - w**5\/6 + 19*w**4\/24 - 11*w**3\/6 + 3392*w**2. What is b(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 152 = -x + 140, -5*n - 5*x = -20. Solve 9*k + n = 8*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3 - 3*z**2 + 45*z - 90. Let f be o(2). Solve 95*s = 106*s + f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3311211102 (base 4) to base 15.\nAnswer: 14d0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (375\/(-126) - 11) + 13 and 44\/39.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6070 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7373 rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283346244 and 2952.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1739 by 1739.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3033 - 3031. Solve -2*a + 10 = 5*u, 6 = -o*u - 5*a - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4112\/15 + 274. Which is the nearest to s? (a) -0.3 (b) -5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.431459 - -3.43. What is j rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1591 - 2607. Let z = -2401 - x. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 9*g**2 - 26*g + 13. Let a = 4322 - 4312. What is m(a)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.7. Suppose 5*d + 3*y - 12 = 0, 0 = 4*d - 5*y + 9 + 11. Which is the second biggest value? (a) q (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 + 79. Let i(b) = -6 + 0 + 4*b + 2*b**2 + 3. Give i(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2096, 1654, 746, -622, -2444?\nAnswer: -4714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3783 divided by 1062.\nAnswer: -1261\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7372.\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/10, -0.1, -1\/20?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 - 2*v**5 + 4*v**5 + 0 - 2*v**5 + 0 + (4*v**4 + v**4 - 4*v**4)*(-3*v + 0*v + 2*v) + 886*v - 886*v - 1 + 110*v**5.\nAnswer: 108*v**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -128468 at most as big as -128486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 7*q**2 - 7*q + 6. Let x be s(6). Let c(z) = 2*z + 5. Let y be c(x). Solve 4 = -0*l - l - y*b, -2*b - 4 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -1050, -3301, -7638, -14757?\nAnswer: -25354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 372445.5 days?\nAnswer: 32179291200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 7*q**3\/3 - 143*q. Let r(a) = 2*a**2. What is r(z(k))?\nAnswer: 392*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**3 + 7*u**2 - 7. Suppose 0 = 19*k - 120 + 25. Suppose k*x = 18 - 48. Let n(p) = -3*p**3 + 2*p**2 - 2. Determine x*y(r) + 21*n(r).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.058\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77555.83l in millilitres?\nAnswer: 77555830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45, 99, 163, 237, 321, 415?\n\"Answer: 5*c**2 + 39*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 649, 674, 727, 820, 965?\n\"Answer: 2*q**3 + 2*q**2 + 5*q + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = l + u, 4*l + 4*u - 32 = 0. Suppose -c + l*d = c - 10, 1 = d. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 4*f - 4*r - 35, -4*f = r + 38 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/40*5\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35, 35, 31, 23, 11, -5, -25?\n\"Answer: -2*n**2 + 6*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 110*j**2\/3 - 2417*j\/3 - 2528\/3.\nAnswer: -(j - 79)*(j - 32)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*z**6 + 8*z**2 - 41*z**6 + 114*z**6 + 0*z**2 wrt z.\nAnswer: 3480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_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: b\"What is the mth term of 19953, 79819, 179595, 319281, 498877?\n\"Answer: 19955*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 3032.\nAnswer: 17\/3032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**3 + 4*u**2 + 4*u - 1. Let x be k(4). Let r = -296 - x. Calculate the remainder when r is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 51.83.\nAnswer: -0.5183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61381 - 2?\nAnswer: -61383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**3\/17 - 66*m**2\/17 - 234*m\/17 - 216\/17 = 0. Calculate m.\nAnswer: -12, -3, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6488, -12118, -16894, -20816?\n\"Answer: 427*o**2 - 6911*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20925443\/258 + -81106. What is the common denominator of -49\/24 and s?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -630, 0.4, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 2:15 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.32 + 0.92. Is -0.134 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/6)\/o**(-1\/4))**(-50)\/(o**6*o**(4\/3)*(o*o*o**2*o*o*o)**(-20\/3)) assuming o is positive.\nAnswer: o**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 16 - 7) + (5 - 1) - 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -56\/3, 0.6, -1, -0.4, 3\/4 in increasing order.\nAnswer: -56\/3, -1, -0.4, 0.6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467.76038 rounded to one dp?\nAnswer: 1467.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/55016 and 62\/161.\nAnswer: 385112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {k: 1, o: 2, f: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 96 = -5*m + 2*j, -5*m + 99 = -2*j. Suppose -5*q - 4 - m = -5*w, 5 = w. Let b(i) = -i**3 + i**2 + i - 2. Calculate b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -2705, 2\/27, 1\/27, -4, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 1:04 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 4*r + 8, 2*j = 62*r - 58*r - 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 m when four letters picked without replacement from qrrwcmqrqwrcwrwqrwcc.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 108*x - 647. What is the remainder when (-4)\/10 - (-24)\/10 is divided by z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 - 2*h**3 + 4*h**3 + (-37*h - 17*h + 29*h)*(12*h**2 - h**2 - 5*h**2).\nAnswer: -149*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**12*x*x*x*x)\/x*x**10\/x)\/(x**(-2\/7)\/(x*((x**16*x*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(303\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -547a (base 12) to base 10\nAnswer: -9310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1218*l - 257002. Calculate z(-211).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**3\/4 + 41342225*f**2\/4 + 20671105*f\/2 - 20671110 = 0?\nAnswer: -8268444, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 971 (base 11) to base 8\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*y + 177*y**2 + 5*y - 86*y**2 - 93*y**2 to m + q*y + k*y**2 and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13318 is divided by 12121.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 5*i + 4. Let y be q(-5). Suppose -29*t + 3*w = -27*t + 25, -81 = 2*t + 5*w. Sort t, 0, y in increasing order.\nAnswer: t, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5\/2 + 125*q**4 + 8545*q**3\/2 + 30885*q**2 + 18720*q - 54000 = 0. Calculate q.\nAnswer: -12, -2, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/18484 and -123\/18920.\nAnswer: 87429320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -239 - -404. What is the least common multiple of i and 9?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(0 + 0 + 1)*(0 - 1 + 2)*(-2*o + o - 3*o + 0*o - 4*o + 2*o + (3 - 4 + 3)*(-o - o + 4*o) + 11*o - 8*o + 7*o) as y*o + z and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.7 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2 + -3)*5. Suppose 14 = v*g + 4*z, 4*g + 3*z - z = 10. What is the greatest common divisor of 18 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-2 - (-2 + 2)). Let k be (1\/2)\/(v\/(-40)). Let u = 31 - k. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 20*h**2 - 51*h + 2. What is the remainder when 268 is divided by d(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 352\/10 - (4\/(-5) - 0). Suppose a = d - 21. Solve z - 3*f - 6 = 0, -4*f - a + 0 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6*1)\/(36\/279) + -5. Let y(d) be the third derivative of 0 + c*d**5 - 1\/300*d**6 + 0*d + 48\/5*d**3 - 45*d**2 - 14\/5*d**4. Let y(p) = 0. What is p?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:49 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35004451, -35004448, -35004445, -35004442?\nAnswer: -35004439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94572905.\nAnswer: 5, 7, 2702083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5333 - -13320. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 9*t**2 - 11*t + 13. Let c be v(10). Find the third derivative of 4*i**6 + 11*i**c - 14*i**2 - 11*i**3 wrt i.\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 99514.\nAnswer: -11\/99514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - b - b = 185, 3*b + 180 = 5*c. Suppose 3*z + 434 = 3*p + 527, -3*z + 58 = 2*p. Calculate the highest common factor of c and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*m**5 + 205*m**4 - 11*m - 205*m**4 wrt m?\nAnswer: -280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*b = -91*b + 700. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-6))\/((-16709)\/2170)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26135685 rounded to the nearest one hundred thousand?\nAnswer: -26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891*n - 48*n = 187*n - 9008 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 2*p**2 + 11*p - 26. What is w(5)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37317 seconds in nanoseconds?\nAnswer: 1373170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 10969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-15)*1\/(5\/(-25))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18468 less than or equal to 18527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24720 + (-14 - -9) - 12\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257 (base 14) to base 8.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 + 3030*d**3 - 9*d**2 - 9096*d - 6060 = 0. Calculate d.\nAnswer: -1010, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10286584*g**5 + 3258885*g**2 + 3?\nAnswer: -617195040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -119 - a99?\nAnswer: -bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 686, 5, 13 in descending order.\nAnswer: 686, 13, 5, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**3 - 13*k**2 + k + 80. Let m(j) = 6*j**3 + 15*j**2 - j - 94. Let g(o) = -7*h(o) - 6*m(o). Let d = -1 + 1. Let a be (1\/2 - d)*0. Give g(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/19 - 81\/95. Suppose -2*m - 3*j = 6, 15 - 3 = -4*m + 3*j. Put m, -3\/4, w in increasing order.\nAnswer: m, w, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -18*v**2 + 2*v + 15. Let o(t) = 19*t**2 - t - 13. What is 7*o(g) + 6*s(g)?\nAnswer: 25*g**2 + 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 72*j + 89. What are the prime factors of t(39)?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.415, 0.2, -1\/57 in ascending order.\nAnswer: -1\/57, 0.2, 0.415, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((306 - 296) + 3198\/(-320))*10\/8*-2.\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 equal to -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y**3 - 7*y**2 - 30*y - 15. Let w(a) = -3*a**3 - a**2 + a + 2. Let o(b) = v(b) + 4*w(b). Give o(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -4*v - 2*q, 3*v = q + 11. Let t be (-2)\/(((-24)\/9)\/v). Solve -d = -t + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52 - -14. What are the prime factors of (m - 0)*(-4)\/(-12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423453 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28214 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 7*l + 7. Let i be d(-4). Suppose 12 = 3*t, -3133 = 4*u - 9*u + i*t. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -380*i + 2283. Let v be q(6). Let j(y) = y**2 - 4*y - 3. Let n be j(6). Let w(l) = l**3 - 9*l**2 + 7. Let h be w(n). Solve o - h = -v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 535 by -107.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 1 = 13*z + 2*i, -z + 2*i = -5. Solve 0 = 3*r - z*b + 9, r + 3*b = -0 + 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p + 42 = n, 0 = 5*n - 2*p - 186. Which is smaller: n or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2 - 156*x - 309. Let v be u(-2). Suppose -o = 1 - 6. Let z(g) = 4*g - 2. Let q be z(o). What is the greatest common factor of q and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 + -3?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 6*i - 32. Suppose -j = -h, 3*j - 7 = i. Suppose -12 = 3*g, -3*o + 0*o = 5*g + 17. Solve 2*b = h*l + 12, 5*b - 14 = 4*l - o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**5 - 237*v**4 + 7065*v**3 - 95283*v**2 + 517104*v - 428652 = 0?\nAnswer: 1, 18, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 729 - 664 - (0 - -4 - 1 - (0 - 1))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 11*r**2 + 14*r - 64. Let m be t(6). What is the greatest common divisor of 150 and m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(1*(sqrt(5) - sqrt(5)*-2)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 331\/2*u**2 + 0 + 0*u + 1\/4*u**4 + 333\/4*u**3 = 0. Calculate u.\nAnswer: -331, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/60)\/(644\/828)*(450\/(-24))\/(-5).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*w**2 - 84*w**2 - 87*w**2 - 87*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48168 is divided by 9632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -5, -0.2, 1\/38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 9:48 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (86 - (72 + -70)) + -205?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 + -48 + (13 + 8 - 16)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341353893 rounded to the nearest 1000000?\nAnswer: 341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 23, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-20)*(-15)\/42?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -2*k + 1\/12*k**4 + 0 + 0*k**3 + 0*k**2. What is the units digit of x(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3940 - 33321*i**2 - 11741 + 33320*i**2)*(-4 + 4 - i) in the form q*i + d + w*i**3 + x*i**2 and give q.\nAnswer: 7801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19109341?\nAnswer: 19109341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, z: 1, o: 1, u: 1, r: 2, b: 1}. What is prob of sequence yzo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14)\/((-2)\/7*1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*h + 13 + 12 - 31 + 8 to x*h + f and give x.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, z: 1, p: 1, s: 10}. What is prob of sequence ds?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48135 (base 9) to base 3\nAnswer: 1122011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 6*f**2 - f + 6. Suppose 8 = 14*d - 13*d. Suppose -b + d = k - 3*b, 5*b = -k + 1. Calculate u(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1256 + 3?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/621 and -25\/243?\nAnswer: 5589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -98, -371, -910, -1805, -3146, -5023, -7526?\nAnswer: -10745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 + 2*v + 4. Let g(n) = -n**3 - 3*n**2 - 4*n - 1. Let i(a) = -a**3 - 4*a**2 - 5*a - 1. Let o(r) = -4*g(r) + 3*i(r). Calculate d(l) - 4*o(l).\nAnswer: l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 4*n + 17 = -19*m, 137 = 3*m - 19*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**3 - 621*l**2 - 31824*l + 32448 = 0.\nAnswer: -104, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -471*m*w + 184*m - 44618*w - 1 wrt m?\nAnswer: -471*w + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 10*c - 14 + 9 - 9*c + 18*c + 12*c**2. Suppose m + 6*k + 16 = 0, -8*m - 2*k - 42 = -4*m. Determine d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 191492 and 54712?\nAnswer: 382984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 479\nAnswer: 5\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 370 = -5*g, 31*g - 35*g + 5*n = -278. What is the least common multiple of g and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*j - 3*o + 71, -3*o = -3*j - 6. Let w(t) = -7*t**3 + 11*t**2 - 5*t + 4. Let i(d) = -10*d**3 + 16*d**2 - 7*d + 6. Give j*i(v) + 7*w(v).\nAnswer: v**3 - 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003273 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 696 - 253. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h + 276. Let t be d(-15). Let u be (-74)\/t*3\/(-5). Let 24\/5*p - 26\/5*p**2 - u*p**4 + 12\/5*p**3 - 8\/5 = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87576 and 72980.\nAnswer: 437880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.321 + 26.521. Which is the third biggest value? (a) -2 (b) w (c) -5 (d) 3 (e) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47333770 rounded to the nearest 100000?\nAnswer: -47300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1500)*-2 + sqrt(1500) + sqrt(15) - 1*sqrt(135))\/(sqrt(320) - (sqrt(320)*-1 - sqrt(320))*-2).\nAnswer: -4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 8*k**2 - 49*k + 16. What is p(-8)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5587532101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -15*d**3 - 4*d - 4. Let y(v) = 14*v**3 + 5*v + 5. Let k(m) = -62*m - 997. Let r be k(-16). Give r*q(i) - 4*y(i).\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -56, -82, -108?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(140)\/(1*sqrt(30)\/sqrt(3)))\/(sqrt(448) - 6*(sqrt(448)*2 - sqrt(448))).\nAnswer: -4 - sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 20*c**3 + 15*c**2 - 50*c - 40.\nAnswer: -5*(c - 4)*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*k + 25 + 145 = 0, -5 = -k. Let g = 55 - o. What is the remainder when 24 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25\/7? (a) -3 (b) -4\/7 (c) 4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.3175 - 35.34. Let v = -11 - n. Round v to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let h be c(-5). Let n = -5.1439 - -4.9439. What is the second biggest value in -131, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/110*(2 + (-34)\/12). Let z = 7 + -7.1. Which is the second biggest value? (a) 45 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*d - 390*d = 0. Put -272, d, 2, 1 in descending order.\nAnswer: 2, 1, d, -272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5) + (14 - (-27 + 7))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1365.\nAnswer: -1\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 - 74 = 10*b + t, -b - 3*t = -36 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b - 3*b)*(22 - 11*b - 13 + 9*b).\nAnswer: 6*b**2 - 27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 51847 divided by -51847\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7080. Let i(z) = -105. Let b(h) = -135*i(h) + 2*q(h). Let a(v) = -v - 1. Determine 2*a(g) + b(g).\nAnswer: -2*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -3539?\nAnswer: -3539.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -21*z - 1205. Calculate b(-57).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.04111\nAnswer: 0.16444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -43, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 1, v: 2}. What is prob of sequence vddo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1095*h + 27572 = 71372 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 2286 - 2323 + 2*q)*(166 - 166 - 11*q) in the form f + c*q**2 + v*q and give v.\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 14*h - 2623 = 5*i, 3330 = 5*h + 4*i. What is the remainder when 1335 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 0.4, 5\/89, 4\/3, 2.\nAnswer: 5\/89, 0.4, 4\/3, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6498792 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/15 + 5)*1700\/74120?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 + 2 = 0. Suppose 2*y - 4*r - 16 = 0, -14 = 7*y - 11*y + 2*r. Put y, s, 0 in ascending order.\nAnswer: 0, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998 divided by -999?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - -0.3. Let c = -45 + 224\/5. Let b = 359 - 357. What is the closest to b in -1, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1016317*z - 1112537 wrt z?\nAnswer: -1016317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 + 5*o - 5. Let p(x) = -3*x**2 - 4*x + 13. Let h(n) = n**2 + 2*n - 6. Let d(g) = -9*h(g) - 4*p(g). Give 5*d(j) + 2*k(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 15*k = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1948330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5894 is divided by 1949.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3599732 divided by -899933.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwk when three letters picked without replacement from fwwwkwwww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-8)\/6)*(-4536)\/7920. Let g = -2\/11 - l. Which is the closest to -1\/2? (a) -0.5 (b) g (c) -0.1 (d) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 304*y**2 - 59*y - 628. What is the hundreds digit of x(-152)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 14 - -14 - (-1 + -2 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1488)\/(-567) - 248\/93. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 350653 and 2725.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141172219?\nAnswer: 11, 1663, 62383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -2)*18\/(-24). Suppose q = 2*m - 5*m + 20, -y*m + 16 = 5*q. Let o be 3 - (1 + m)\/(-4). Solve -o*w - 7 = 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(7\/5)*y*y**(16\/3))**20 assuming y is positive.\nAnswer: y**(464\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 - -3.6. Let k be (-3)\/6*(0 - -1). Which is bigger: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 2*v = -18, -14*v = -10*v - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:59 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 272.8997132 and -477.\nAnswer: -204.1002868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3 = -3*r + 6, 5*y - 19 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/7335040 and -68\/1095.\nAnswer: 22005120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y - 3*w + 1428, -3*w + 714 = 2*y. What is the highest common divisor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:55 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.538129485 rounded to 2 dps?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34557.81563 - -34558. Let o = 0.186 - d. What is o rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35.2 + -39. Let c = t - -1.8. Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 5*h**4\/24 + 4*h**3\/3 + 5*h**2\/2 + 4. Let b(j) be the second derivative of l(j). Differentiate b(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**6\/120 - o**5\/12 - o**4\/8 - 4*o**3\/3 - 5*o**2. Let y be v(6). Let k be 2\/y*-6*-5. Is k at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357376423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29, -28, -25, -20, -13, -4, 7?\n\"Answer: u**2 - 2*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 498709 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = -30. Let i be -4 + 1 - (14 + p). Find the common denominator of 3\/(-12)*14\/i and -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 3*j**2 - 5*j + 4. Suppose -3*z = -2 - 1, -2*n + 15 = 3*z. Is o(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - 4) + 1548\/86?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46609617529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 44 - 9*g + 11*g**3 + 41*g**3.\nAnswer: 52*g**3 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8974 (base 11) in base 13?\nAnswer: 54c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-436)\/(-7) + 2\/(-7) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/7604835 and 38\/11950455?\nAnswer: 83653185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)*q*q**(-1\/2)*((q*q**(-2\/5)*q)\/q)**(-16) assuming q is positive.\nAnswer: q**(-161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/2*(21\/(-45))\/(7\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11367*v. Let i(w) = 7*w**2 - 242. Calculate i(r(t)).\nAnswer: 904460823*t**2 - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*n - 83*n + 36 = 0. Let l(f) = 2*f - 11. Calculate l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3*sqrt(132))\/sqrt(12) + 1 + sqrt(99))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1383, 1371, 1345, 1299, 1227, 1123, 981?\n\"Answer: -m**3 - m**2 - 2*m + 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -56*f**2 - 59*f**2 - 58*f**2 + 176*f**2. Let r(k) = k. What is r(v(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**3 - 2*n**2 - n + 5. Let y(t) = t**3 - t**2 - t. Let k(p) = -a(p) - 6*y(p). Suppose 0 = 5*i + 29 + 6. Calculate k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a hour in minutes?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(300) + 0).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 8. What is the second derivative of -4*z - g*z + 4*z + 2*z**2 wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 75*y + 1338. What is z(35)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 357.6 + -361.6. Which is the fourth smallest value? (a) 2.2 (b) 4\/5 (c) w (d) -0.5 (e) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -187571 - -420532. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5540051*f**2 + 45996971*f.\nAnswer: 11080102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4228\/(-1057)*2\/18?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 9 + 9 = 0. Let f(p) be the third derivative of 1\/45*p**6 - 1\/15*p**5 - p**2 + 0 - 5\/48*p**4 + m*p - 1\/18*p**3. Factor f(o).\nAnswer: (o - 2)*(4*o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6651, -26615, -59889, -106473, -166367, -239571, -326085?\nAnswer: -425909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 3, u: 10, x: 2}. Give prob of picking 2 j and 1 x.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 119, 447, 1001, 1787, 2811, 4079, 5597, 7371?\n\"Answer: a**3 + 107*a**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1\/6*b**3 + 0 + 11\/60*b**5 + 1\/12*b**4 + b**2 + 0*b. Calculate the least common multiple of 20 and y(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/35354 and -71\/6?\nAnswer: 106062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23800539?\nAnswer: 3, 7, 1133359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1690, -1749, -1808?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69320, 69551, 69782, 70013, 70244?\nAnswer: 70475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 154734708 divided by -12\nAnswer: -12894559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561940 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-45)\/120 + 486\/16 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*n = -6, 0 = 4*c - 4*n - n - 37. Let f = 9 - c. Suppose -26 = -5*y + 3*o, 2*y + f*o + 2 = o. Solve y*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = 4*q, 4*f - 2*q = -0 - 2. Suppose -j - f = -4. Solve -2*w = j*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7eb1 (base 16) to base 7\nAnswer: 163362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10\/17 - -76\/187. Sort -0.2, m, 0.09 in descending order.\nAnswer: 0.09, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.6888 - -0.053.\nAnswer: -7.6358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640893 to the power of 1\/2, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -d77?\nAnswer: -d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3787, 3657, 3535, 3427, 3339, 3277, 3247?\nAnswer: 3255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 449 and 801?\nAnswer: 359649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 12*o = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 11 + (33 - -1 - (-354 + 350))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 61*s + 813. Let b be j(-13). Let z = 1 + 7. Let n = -5 + z. Solve -n*i + b = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4\/3 (b) 4 (c) -2 (d) 16\/5 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 3. Let j be z(-5). Let q be (0 - -2 - 0)*(-87 + 88). Solve -q*t = u - 14, -6 = -4*u + j*t - 0*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2 - (-17)\/10). Let p be (-5)\/v*16*2. Calculate the highest common factor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 222, 411, 638, 897, 1182?\nAnswer: 1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1306, 0.13, 2\/9, -5, -3\/2 in increasing order.\nAnswer: -5, -3\/2, 0.13, 2\/9, 1306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:45 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -32, 25, 126, 283, 508, 813, 1210?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*m = 2499, 0 = o + 2*m - m - 1246. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 48. Let i = -24 - o. Calculate the highest common divisor of 12 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 - 62 = 3*s + 3*b, -4*b + 26 = -6*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 868\/210 + 4\/(-30). Suppose 8*k - h*k + 3*d - 76 = 0, -4*k + 3*d + 52 = 0. Solve 3*w - 12 = 0, 0 = -3*n - w + 2*w - k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*h**3*o**3 + h**3*o + 31*o**3 - 4*o wrt h.\nAnswer: -75*h**2*o**3 + 3*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 = -11. Suppose -m = p*s - 35 + 10, 3*s - 15 = -m. Suppose s*r - 581 = 204. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2787 = -q + 4*w, -2*q + 4009 + 1517 = 4*w. Calculate the remainder when q is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55756*x**2 - 27921*x**2 - 27870*x**2.\nAnswer: -35*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nttttdnccdnn. What is prob of picking 1 t and 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -132981110 rounded to the nearest 100000?\nAnswer: -133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -11.3, -5, 14\/5 in descending order.\nAnswer: 14\/5, -2, -4, -5, -11.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-6)\/(-12)). Suppose -5*h + 15 - z = 2*u, -8 = -5*h - 4*u. Calculate the greatest common factor of h and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4184, -17076, -38546, -68576, -107148, -154244?\n\"Answer: 3*m**3 - 4307*m**2 + 8*m + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 22 = -6*k, 28*d - 29*d - 2*k = -14 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.6 (b) 0.4 (c) 0.04 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y = -53*y - 4*f + 116279, -4*f + 77526 = 2*y. Is 143 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -438 - -449.27. Let c = i - 0.27. Let g = -21 - -21.2. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-1\/2))**(-2\/35)*(o\/o**(-1\/2))**24*((o*o**0)**(-19\/3))**32 assuming o is positive.\nAnswer: o**(-17509\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -963142, -963141, -963140, -963139, -963138?\nAnswer: -963137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 239 = -39. Let m = u - -39. Calculate the remainder when (-436)\/(-22) + (-2)\/m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-8))\/((-1)\/(-4)). Differentiate 0 + 5 + s - 10*r - 1 with respect to r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*r**3 - 60*r**3 + 781*r**3 + 185*r**3.\nAnswer: 974*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182904 (base 16) to base 2.\nAnswer: -110000010100100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 3*1\/3. Let k(l) = -3*l**2 + l + 1. Let g(f) = 2*f**2. Let m(v) = u*k(v) - 5*g(v). Let p(h) = h**2 + h. Suppose -5*q = 1 - 6. Give q*m(x) + 2*p(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(13) + -1 - sqrt(13) - (-3 + sqrt(13))*3)**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-28))\/(4\/(-14))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2. Let z(s) = -8*s - 7*s - 4*s + 18*s. Calculate n(z(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11513, -23574, -35641, -47714?\n\"Answer: -3*i**2 - 12052*i + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2468869306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0831 and 25.2.\nAnswer: 25.2831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-36) - (-58)\/18. Suppose s*i = i. Let m = 13 + i. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008392 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/21 and 32\/6795.\nAnswer: 47565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 19*u**6\/30 + 5*u**2 + 73*u. Differentiate a(g) with respect to g.\nAnswer: 76*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2435 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + -1*(-5*3*sqrt(1053) + sqrt(1053) - (-4 + 0 + sqrt(13) + -1)))**2.\nAnswer: -1524*sqrt(13) + 209715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/46583 and -49\/6253?\nAnswer: 7872527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -490*i**3*s**3 - 132*i**3*s + 4*i**2*s**2 wrt s?\nAnswer: -2940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 932880 and 7728?\nAnswer: 6530160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or -98\/3?\nAnswer: -98\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/(9\/(-18)). Let n be (0 - 1 - g) + 3. Suppose 0 = n*p - 59 + 2. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 258?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4 + 10108*k**3 - 6257960*k**2 - 161653888*k - 742448256 = 0. Calculate k.\nAnswer: -19, -6, 1276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 168*l - 186*l + 3*o + 120 = 0, 5*o = -3*l - 101 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + sqrt(300)*-2 + -2 + sqrt(300) + sqrt(300) + sqrt(300)*1 + 1)*-4*-6)**2 + -3.\nAnswer: 44640*sqrt(3) + 181446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 10*w + 2. Let o(b) = -2*b**2 - 19*b + 4. Let k(d) = -3*d**2 - 6*d + 759. Let s be k(-17). Calculate s*o(m) + 11*y(m).\nAnswer: m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and -7794371.0873427.\nAnswer: -7794359.0873427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 - (3 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 124, 131, 142, 157?\n\"Answer: 2*l**2 + l + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*m - 3096 + 692 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1809111 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 470703890*n - 11078107603056605.\nAnswer: -5*(n - 47070389)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3245620 (base 10) to base 16\nAnswer: 318634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1429 + 551 = 0. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7236\/(-90450)*4\/(8\/(-775))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-1\/5)*i))\/(i**(2\/9)\/i)*(i*i\/i**(1\/2))**(-39)*(i**(-1\/4)\/i)**(-28)*(i\/(i**(1\/4)\/i))**(1\/33) assuming i is positive.\nAnswer: i**(-46469\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Let g = o - 7. What is the smallest value in 0.3, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 547, 546, 545, 544?\n\"Answer: -r + 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1502 and -29\/2268?\nAnswer: 1703268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/25 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 229, 506, 905, 1432, 2093?\nAnswer: 2894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) + 2\/(4\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -61. Suppose -4*k + p = -4. Solve -k = 2*x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -13) + (-3 - -14) + 3 - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 669893 >= 669890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = 0. Let f = 0 + b. Suppose -2*z + 2*c - 7*c + 16 = 0, f = 2*c - 4. Is z smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + g = -1470. Suppose 72 = 10*a - 2*a. Suppose 0 = -a*n + 4*n + g. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1466*m + 1473*m - 21 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1322.39 + -1265.8608. Let u = -73.51 + p. Let r = u + 17. What is r rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 - 1 + 1)*(-u - u**2 + u + (-3*u + 6*u - u)*(-14*u - 11*u + 33*u)) to j*u**3 + q*u**2 + v*u**4 + g + s*u and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154 + 264. Let w = c - -123. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1680 = -33*q + 39*q. Let k = -46 + 52. What is the lowest common multiple of k and q?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140755 and 45?\nAnswer: 1266795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*o - o - 138, 18 = t - 4*o. What is the remainder when 79 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2. Let c(v) = 3*v**2 - 134. What is c(z(x))?\nAnswer: 12*x**4 - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:58 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 1681.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2. Let f(q) = -3*q**2 - 16*q - 30. Let o(w) = f(w) + 2*s(w). Is 3 a factor of o(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1048*j**2 - 27249*j + 48. Determine a(26).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, -0.07, -3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5))**2*3 + 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365130837.\nAnswer: 3, 37, 1096489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2 + 12. Let f(s) = -s**3 + 3*s**2 - 2*s + 1. Let t be f(2). Let n(y) = 22*y**2 - y. Let w be n(t). Solve 0 = x*b + w - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2380 is divided by 773?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/25)\/((-1)\/(-305)). Find the common denominator of -1 + 3 - x\/(-4) and -139\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 7*a - 2. Let j be w(-7). Let o be 0 + (0 + 1 - -3). Let l = o - 5. Put l, j, -3 in decreasing order.\nAnswer: l, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - n**2 - 3 + (3*n**2 - 4*n**2 + 0*n**2)*(1 - 1 + 1) + 1 - 2*n**2 - 1 - 11845*n**2 - 1077*n + 1077*n - 2014*n**2 to j + g*n + p*n**2 and give p.\nAnswer: -13863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -8\/7*g**2 + 0 - 2*g**4 + 0*g + 22\/7*g**3 = 0.\nAnswer: 0, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 106. Let n(l) = 25*l - 120. Let s(a) = 3*a - 12. Let g(b) = -n(b) + 10*s(b). Calculate g(h(j)).\nAnswer: -10*j**2 - 530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*a = a - 296, -4*a - 316 = -3*x. Suppose 0*c - 4*c = j - x, -j = -c + 25. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815319563?\nAnswer: 41, 107, 185849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uummmmmmmuummmmmmmm. What is prob of sequence mm?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 41 = -i, 4*i + 3 = 2*o + 113. Calculate the least common multiple of i and 33.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 6:55 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from dppdpdppppdpppddpp?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 9. Let s(d) be the third derivative of d**3\/6 - 2*d**2 + 2*d - 1619. Calculate 3*s(p) + x(p).\nAnswer: p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/21)\/o*o**(-2)\/o)**0*(o**(-2\/7)\/(o**(1\/10)\/o))**(-8) assuming o is positive.\nAnswer: o**(-172\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -2*w - 14*a + 12, -2*a = 2*w - 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*f + 5*u - 5, 3*f + u - 35 = 0. Suppose -21*x + 206 = 145*x - 790. Solve x*r - 7 = f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 341\/(-22) - (-1)\/2. Let z(w) = w**3 + 16*w**2 + 6*w + 18. What is the tens digit of z(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5012*g**2 - 10067*g**2 + 5*g - 3*g + 5011*g**2 to the form x*g + l*g**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25200 and 3465.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 105 times 3113489\nAnswer: 326916345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108735 = c + 2265. What is c rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2770*x + 1627*x - 885*x + (1 + 0 - 2)*(-x - 5*x + 5*x).\nAnswer: 3513*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11205*v**5 + 8*v + 470*v**6 - 11205*v**5 + 5*v**3 + 11*v**2 + 18*v wrt v.\nAnswer: 56400*v**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -576 + 578. Find the second derivative of 40*c**2 - 3 - d*c**2 - 35*c - 159*c**2 wrt c.\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**8\/112 + 3*h**7\/70 - h**5\/5 - h**2\/2 + 25*h + 25. Let o(w) be the second derivative of c(w). Factor o(p).\nAnswer: -3*p**2*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 430836 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s - 3. Suppose s*a - 10 = 14. Suppose 0 = -19*m + 22*m - a. Solve 0 + m = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbdb when four letters picked without replacement from {d: 2, b: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19987 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1336 and 53\/36.\nAnswer: 12024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j**2 - 3*j + 9. What is the remainder when 193 is divided by o(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 + 5*u**2 + 4*u**2 + (0*u + 4*u - 2*u)*(0*u - u - u) - 2*u**2 + 0 + 0.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + (4 + 2 + sqrt(1900) + sqrt(1900))**2 + (sqrt(1900) - (-1*sqrt(1900) + sqrt(1900))) + 0)*6.\nAnswer: 1560*sqrt(19) + 45816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1. Let s(q) = -10*q - 22. Let x(g) = -b(g) + s(g). Suppose -3*j + 3 = 0, -w = -3*w - 4*j - 18. List the prime factors of x(w).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 1:38 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24067935 divided by -51759\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 9. Let c be w(4). Suppose 3*a - 2*y = 8, -c*a + 3 = -y - 4. What is the highest common factor of 16 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24\/59 - 5557\/118. Let r = -13833\/11 + 1260. Calculate the common denominator of w and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66527?\nAnswer: 71, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**3 - a**2 + a. Let x be d(1). Suppose 0 = g - x*g + 3. Is g >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(4*sqrt(2) - sqrt(2)) - (sqrt(117) + 5*sqrt(117))\/sqrt(3))\/(1*-2*sqrt(192) - -4*2*sqrt(192)).\nAnswer: -17*sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 456, 725, 1004, 1293?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137247281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 114079002 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -858*y - 48046. Determine g(-56).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**0*(v**(1\/2)*v)\/v*(v**1)**(3\/8) assuming v is positive.\nAnswer: v**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*o = -21, o + 2 = 5. Suppose w*y - 3*y + t = 6, -3*t = -6. Suppose -m + 439 = 4*l, -3*l - y*m + 325 = m. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**2 - 28*o**3 + 32*o**3 - 19*o**3 wrt o?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 - -0.3. Let m = -2280 + 2281.147. Let x = m + -1.547. Which is the biggest value? (a) -1\/4 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -26. What is the lowest common multiple of c and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-8)\/2))\/(4\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -15*g**2 + 3332*g + 2892. Give h(223).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*168\/1036.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 4*v**3\/3 - 11*v**2\/2 - 7*v - 5. Let b(t) = t**2 - 3*t - 2. Calculate 22*b(q) - 6*c(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-66)*5\/(-6)*25179\/3815?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106016 - -14?\nAnswer: 106033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 185 (b) 42 (c) 1\/10 (d) -0.4 (e) -0.5 (f) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6591.43kg in grams?\nAnswer: 6591430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**3 + 5*w**2 + 25*w + 10. Let k(y) = 4*y**3 + 3*y**2 + 12*y + 6. Give 5*k(o) - 3*z(o).\nAnswer: 2*o**3 - 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4222391 or -4222392?\nAnswer: -4222392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 629094269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6418270 - 3918270. Round i to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, y: 2, v: 1, q: 1, x: 1, g: 1}. Give prob of sequence qzzy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2245546 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5811.999995222 + -5812. Round y to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, 1 m, and 1 f when four letters picked without replacement from fzwzzzzwzzmmzwzwlzzs.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 190955.\nAnswer: -1\/38191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1481 times 1.6\nAnswer: -0.23696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -446.866 to the nearest integer.\nAnswer: -447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895916?\nAnswer: 2, 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzlzddzdlddd. What is prob of sequence dz?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835353.3 centimeters to micrometers.\nAnswer: 8353533000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.549 less than or equal to 0.0484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 312513235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 264*y**4 - 13*y**3 - 116433 with respect to y.\nAnswer: 1056*y**3 - 39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10 + 78*k**2 - 11 - 4*k - 5*k. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcxrwwk. What is prob of sequence rxcw?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 5, t: 1, w: 2, v: 1}. Give prob of picking 2 q, 1 d, and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/((-3)\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuquuquuuuuquuu. Give prob of sequence qqu.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6. Sort 1, 4, o.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -638 = -9*b + 622. Let u = 147 - b. Let z(n) = -n**3 + 7*n**2 - n + 3. Give z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + -21 + -12 + 8 + 0.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 16*q**4 - 10*q**2 + 28*q - 111. Let i(x) = -6*x**4 + 3*x**2 - 10*x + 37. Let j(h) = -10*i(h) - 3*m(h). Differentiate j(c) with respect to c.\nAnswer: 48*c**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) -7\/88 (c) 4 (d) -5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -308 + 649. Let n(w) = -341 + p + 2*w. Let c(o) = 65*o**2. Determine n(c(x)).\nAnswer: 130*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/17, 2\/13, 308, 2\/7, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -26*a**2 + 45*a. Let x(k) = -14*k**2 + 22*k. Let g(d) = 6*t(d) - 11*x(d). Factor g(j).\nAnswer: -2*j*(j - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 710, 2834, 6366, 11300, 17630, 25350, 34454?\n\"Answer: -a**3 + 710*a**2 + a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -57\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v\/v**(-3\/2)))*v**9*(v**(-2)\/v)**(-38) assuming v is positive.\nAnswer: v**(251\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 14.77 and 395.3284616.\nAnswer: 410.0984616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/12 - 28*v. Let d(r) be the first derivative of 3*r**2\/2 - 2. What is d(z(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -0.5, 3027, 5, 0, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 - -305. Let m = h + -107. What is the second biggest value in 4, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t + 3*r = -621, -311 = -t + r. Let u = 4433 - t. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 10*a**2 + a + 14. Let u be k(-10). Suppose -u*s - s = 15. Is -3 + 474 + s - 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:39 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -1\/16, 160, -4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22648?\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:25 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15326 + -107284\/7. What is the nearest to f in 0, 90, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/506 and 51\/8058947?\nAnswer: 177296834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5261 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/80*(-20)\/(-25).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.9 (b) 21 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**4 - q**3 + 2*q**2 - 1553*q + 221321.\nAnswer: 8*q**3 - 3*q**2 + 4*q - 1553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s - 90 = -23*s. Suppose -2*h - 1 = -3*h + 5*i, -2*i + s = -5*h. Let o(u) = -4*u - 2. What is o(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywgwgppyypppwypt. Give prob of picking 2 p and 2 g.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 1. Let j(a) = a**3 + 22*a**2 + 73*a + 23. Let g be (2\/(-6))\/((-6)\/(-324)). Let q be j(g). Let c(i) = -4*i + 2. Determine q*d(k) + 3*c(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -2554*m + 2543*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 + 1) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189878\/(-3685) + 56\/(-44) + 44.\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 78*h**2 - h + 11. Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 17. Let g(x) = -x**3 + 7*x**2 + 9*x + 6. Let r be g(8). Let h = r + -5. Is t(h) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -138*l**2 - 2*l + 2. Let g be q(2). Let s be g\/(-8) - 5\/20. What is the units digit of s\/6 - 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1 (base 13) in base 10?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-74))\/(309\/206).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25896.\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 - 78*c + 94. Determine w(-13).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) - 54*3\/24. Let c(p) = -9*p - 2. Let w(d) = -5*d - 1. Determine l*w(r) + 4*c(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -7. Let s(m) = -3*m**3 + 5. Let k(i) = i**3 + 146 - 49 - 51 - 48. Determine u*s(v) - 5*k(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = k. What is the highest common factor of 11 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 3*s + 2. Let h be z(-3). What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 7:50 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.250816 take away 450?\nAnswer: -509.250816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2962 - -2962.002579. What is l rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*m**5 + 26029*m**4 + 5*m**2 + 455759078*m?\nAnswer: 4900*m**3 + 312348*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34541 - -20?\nAnswer: -34521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 0*y + 5*y + 348 = -3*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 40327.6 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26946.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**3 + 12*c**3 + 7*c**3 + 1 + 0.\nAnswer: 39*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - i = 5*q + 23, 2*i - q = 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*k**4*r**2 - 95*k**4 + 1494*r**2 - r wrt k?\nAnswer: -56*k**3*r**2 - 380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 4*t**2 - 6*t - 4. Let l(n) = -3*n**3 - 12*n**2 - 17*n - 13. Calculate 7*g(h) - 2*l(h).\nAnswer: -h**3 - 4*h**2 - 8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2095 divide 1233607230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20809694, 20809694, 20809682, 20809652, 20809598, 20809514?\n\"Answer: -c**3 + 7*c + 20809688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, -20, -10, -5, 4 in decreasing order.\nAnswer: 9, 4, 0, -5, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178570, 357131, 535678, 714205, 892706, 1071175, 1249606?\nAnswer: 1427993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 3*y**2 - 2*y**2 + (2 - 2*y - 2)*(-9*y - 16*y + y) to the form t*y**2 + k + w*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 389681137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5954, 1\/6, 2, -50?\nAnswer: -5954","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51155 less than 51156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 1)\/(1\/128). Find the common denominator of 3\/2 + 248\/g and 2\/10*37\/(-24)*-3.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16658, 16632, 16606?\n\"Answer: -26*j + 16684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*b + 135. Suppose p = 4*q + 5, -201*p + 10 = 5*q - 199*p. Suppose 5*h - b + 54 = q. Sort -7, -2, h in increasing order.\nAnswer: -7, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92803 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:07 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -4*a**8\/21 + 1657*a**5\/60 - 19*a**2 - 29*a. What is the third derivative of b(d) wrt d?\nAnswer: -3840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 3*a - 4. Let p be f(3). Suppose p*s = 2*n - 5 - 6, -n - s = -9. Solve 0 = 3*w - 5*w - n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**3 + m**2 + 7*m + 7. Let x(v) be the second derivative of -9*v**5\/20 - v**3 - 3*v**2 + 5*v. Let o(p) = -6*n(p) - 7*x(p). Solve o(l) = 0 for l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -28*t + 422. Determine v(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + 20 + 1014 + -977)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/9 + 30014*c**3\/3 - 90046*c**2\/3 + 270142*c\/9 - 30016\/3.\nAnswer: 2*(c - 1)**3*(c + 45024)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2. Let o(c) = 2*c. Let d(b) = -3*b. Let y = -87 - -77. Let w be ((-12)\/(-15))\/(4\/y). Let x(v) = w*d(v) - 2*o(v). What is t(x(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 7*q - 9. Let j(h) = 4*h + h**3 - 1 + 0 - 4. What is -4*b(g) + 7*j(g)?\nAnswer: -g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -239 (base 13) to base 3\nAnswer: -112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 249544022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 67.7 * 5.4\nAnswer: 365.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14758003 is divided by 554?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from kowkowkwokzkwok?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -23*4\/(-8))\/(1360\/(-544)).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611296 is divided by 174.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 1116*j**2 + 126208*j + 1553664.\nAnswer: 2*(j + 14)*(j + 136)*(j + 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16272779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*f**3*x**4 + 974*f**3 + 10*f*x**4 wrt x?\nAnswer: -40*f**3*x**3 + 40*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598*0.06.\nAnswer: -35.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 14. List the prime factors of j(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11753386*t**3 + 12394790*t**2 wrt t?\nAnswer: 70520316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128265.\nAnswer: 3, 5, 17, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*f + 204*f + 24*p = -208*f - 232, 2*p = -p - 12 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -119*k + 154*k - 32*k. Let p(y) = 2*y**2 - 8. Give o(p(i)).\nAnswer: 6*i**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 10*n**2 - 5*n + 4. Let d(q) = 49*q**2 - 19*q + 21. Let t(w) = 33*w**2 - 13*w + 14. Let v(y) = 5*d(y) - 8*t(y). Let u(x) = 5*c(x) + 3*v(x). Give u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9918 divided by -29.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 12 = 5*y. Suppose p = 3*b - 10, 8*b - 6 = 5*b. Suppose 3*f - 4*f - 4*v = 17, 0 = v + 3. Put y, f, p in increasing order.\nAnswer: f, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 614 and 288580.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493.362009s to weeks.\nAnswer: 0.0008157440625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172471930.99999328 - -172472077. Let l = o + -146. Round l to 7 decimal places.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/40 + 33*p**5\/20 + 577*p**4\/24 - p**3\/3 - 1271*p**2. What is the second derivative of w(z) wrt z?\nAnswer: 18*z + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.17 and -6490.\nAnswer: 14083.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 28 = 2. Suppose h - f + 5 = -2*h, 0 = -2*h - f + z. What is the nearest to 1 in h, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/14))**(-2\/41)\/(l**(-7\/2))**29 assuming l is positive.\nAnswer: l**(58263\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*p - 400*p - 1188 = 25366 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-70))\/((196\/35)\/14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 23*y + 92694 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22260, 22485, 22774, 23133, 23568?\nAnswer: 24085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 12. Calculate the remainder when (-102*l\/(-24))\/(33\/(-88)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 - 176*f + 348 = 0 for f.\nAnswer: 2, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 960334, 960333, 960332?\nAnswer: 960331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 3*v**2 - 234*v. Let r(c) = -8*c**3 + 13*c**2 - 936*c. Calculate 9*l(k) - 2*r(k).\nAnswer: -2*k**3 + k**2 - 234*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 67. Suppose -a - 3*p - 16 = -49, -86 = -2*a + 4*p. Suppose 4*y + 10 = 4*t - u, -a = -3*t - y. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 493.586 to zero dps.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x)**(3\/7))**(14\/11)*(x**(1\/11)\/(x*x\/((x**3\/x)\/x)*x))**(14\/13) assuming x is positive.\nAnswer: x**(96\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 607607, 607735, 607865, 607997, 608131?\n\"Answer: g**2 + 125*g + 607481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -829359.\nAnswer: -829358.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -46547.5867 to 0 decimal places.\nAnswer: -46548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 3. Let j be u(2). Let w = j - -10. Solve w*h = 2*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -33.2. Let y = 56.9 + -57. Sort c, -2\/15, y in decreasing order.\nAnswer: y, -2\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 11567714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52765, -105520, -158251, -210958, -263641, -316300?\nAnswer: -368935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12611.\nAnswer: 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -95790786 divided by -7\nAnswer: 13684398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 47*f**2 - 116*f + 5. Let b(l) = 2*l**3 + 38*l**2 + 117*l - 4. Determine -5*b(r) - 4*q(r).\nAnswer: 2*r**3 - 2*r**2 - 121*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 27 - (5 + 128 + -88)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11011110 (base 2) to base 9\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.6 - -2.4. Let k = s + -9. What is the closest to k in 0.2, -2\/7, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkpphppkdkppkhpj. Give prob of sequence ddph.\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**6\/6 - w**5\/2 + 5*w**4\/12 + 5*w**3\/3 + 9*w + 2. Factor j(o).\nAnswer: -5*o*(o - 1)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*t + 8665 = 0, -3*w - 3*t + 5199 = -8*t. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -88*j - 50. Let r(l) = 164*l + 98. Let x(s) = -6*r(s) - 11*u(s). Let d = 9 + -15. What is the remainder when x(d) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4670353?\nAnswer: 4670353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o + 1 + 30*o**4 - 14*o**4 - 12*o**4 - 7*o + 11*o**3 to x*o**3 + d*o**4 + g + m*o + l*o**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-45)*5\/((-15)\/18). Solve 0 = 6*w - t*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98107 is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 3. Let m(p) = -2*p - 7. Let b = 0 + -5. Determine b*n(f) - 2*m(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*y**(-1\/4)))\/y)**(-11\/2)*(((y**(-1)*y)\/y)\/y)**39 assuming y is positive.\nAnswer: y**(-635\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + -2 + 2)**2 - (sqrt(833) + sqrt(833) + 0 + 3).\nAnswer: -14*sqrt(17) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 minutes before 9:31 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/22 and 37\/510?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(275) + (1*sqrt(275) + 1 - sqrt(275))))**2 + -4*-2*sqrt(33)\/sqrt(3) + 4)*6 + -4.\nAnswer: 1548*sqrt(11) + 41420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -660\/104131?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 102 - 30 - 36 + 16378*l in the form x*l + f and give x.\nAnswer: 16378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -2\/3 (b) -2\/5 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 2 - (-9 - -4). Let w = 76 + -76. Solve w = u*l - l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -32*h**2. Let f(t) = -2383*t**2. Calculate k(f(j)).\nAnswer: -181718048*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 762721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(931)*3 + (-4*sqrt(931) + 2)**2.\nAnswer: -91*sqrt(19) + 14895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 4*x**2 + 4*x - 4. Let t = 37 + -33. Let c(j) = 3*j**3 - 7*j**2 + 7*j - 7. Give t*c(a) - 7*h(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = -4*p, 6*c - 75 = c - p. Suppose -3*u + 110 = c. Suppose -u = -2*n + 12. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 729 divide 31164021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59198 is divided by 121?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -22?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70923 and 564.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -6. Suppose l = v - 2*v + 11. Suppose 4*z - 94 = -3*t, -7*z - 5*t + 98 = -3*z. What is the greatest common factor of v and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 + 4.6. Is 0.03 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 8*v + 9. Let i be l(-3). Let w(a) = a**3 + 3*a**2 - 21*a - 3. Let z be w(i). What is the greatest common factor of z and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*b**2 + 814886*b + 155782256 wrt b?\nAnswer: -16*b + 814886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -4)*3 - (0 - 5). Suppose y*k - 6496 = 12*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 + 9*d - 7. Let b be ((-1)\/2)\/(1\/(-4)). Suppose -b*c + 15 = c. Let n(x) = 2*x**2 - 5*x + 4. Calculate c*n(k) + 3*t(k).\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41243661 and 3591.\nAnswer: 288705627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 2, t: 2, s: 5, q: 10}. Give prob of picking 1 f and 1 q.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from hrhhhrr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107*v**2 + 710*v**2 - 472 + 31 + 275*v**2 - 615 wrt v.\nAnswer: 2184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 1.7. Which is the nearest to k? (a) 3 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116\/5*o + 2\/5*o**2 + 106.\nAnswer: 2*(o - 53)*(o - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.06 (b) 5 (c) 1\/5 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 149*u - 13. Let c(r) = 50*r - 5. Let x(m) = 6*m + 26. Let f be x(-3). Let p(g) = f*c(g) - 3*i(g). Let y(w) = 0*w - 3*w + 4*w. Give p(y(z)).\nAnswer: -47*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3538 + 1609.91622?\nAnswer: -1928.08378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*i - 322031 - 122*i + 322035 with respect to i.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 + 4 = 0. Suppose 0 = 4*u + 2 - s. Solve 3 = -k - u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29125 by 5.\nAnswer: 5825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 248*b - 3. Let o(q) = 123*q - 2. What is -3*j(y) + 5*o(y)?\nAnswer: -129*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 2 - (-11 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -246, -988, -2204, -3876, -5986, -8516?\n\"Answer: 3*n**3 - 255*n**2 + 2*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*u + 660377 = -676603. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/428 and 23\/123.\nAnswer: 52644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqbb. Give prob of sequence bq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 67492, 67427, 67362?\n\"Answer: -65*d + 67557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/88 and 65\/6067752?\nAnswer: 66745272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - 96. Let p = -228 - q. Let t = -64 - p. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5241061 grams?\nAnswer: 524.1061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (78 - 48) - 66?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9776 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110510 - 69210. What is x rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.09 to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + r - 1. Let a(f) = 7*f**2 + 258*f + 17430. Let j(i) = -a(i) - 6*d(i). Determine b, given that j(b) = 0.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1998 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d - 21. Let m be k(11). List the prime factors of 21 - (m - -3)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 13*j + 15. Let c be z(-12). Suppose -c*s + 189 = -0*s. Calculate the highest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 1225*y. Let a(u) = 2*u + 501. Determine o(a(m)).\nAnswer: -4*m**2 + 446*m + 362724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - 10. Put -3, g, -0.1 in descending order.\nAnswer: -0.1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -416216, -416217, -416218, -416219, -416220, -416221?\n\"Answer: -c - 416215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/42 + 4*p**3\/21 - 4*p**2\/7 + 272*p + 9. Determine a so that x(a) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46446 divided by -193\nAnswer: 46446\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - c - 4 - 1 + 2*c. Is u(-4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429321497.\nAnswer: 11, 241, 161947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 12 - 2)*(4*d - 4*d - d**2)*(-366*d + 8 + 159*d - 8) - d**3 + d**3 + d**3.\nAnswer: 1450*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 14*j**2 + 9*j - 36. Determine f(-15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -36. Suppose -2*y = -5*r - 7 - 13, -5*y = r - 104. Calculate the lowest common multiple of v and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 3. Let g(o) = o + 4. Let m be g(-4). Suppose m = 2*c - 3 - 5. Solve -n + 4*q = -0*q + 3, -c = -k*n + q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 + 2*z)*(-6 + 3 + 1)*(14 - 26 + 203*z + 9)*(10 - 10 + 7*z).\nAnswer: -5684*z**3 - 5600*z**2 + 84*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.10839 times 14995\nAnswer: -1625.30805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -409\/6 (c) -65.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/179 in -0.4, -23, 4, -2, -28?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**7)*v*v*(v\/(v*v\/(v**5*v)*v*v))\/v)\/(v*v\/(v\/v**(-2\/9))*v*v\/(v\/((v\/(v**(-2\/3)\/v))\/v))) assuming v is positive.\nAnswer: v**(59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - m - 3 = z, 81*z - 9*m + 8 = 85*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6162*f + 258849. Calculate h(42).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.433 times -0.11?\nAnswer: 18.74763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130*a*k**3*s + 6*a*k**3 + 218*a*k**2*s + 353*a*k**2 - 67*k**3*s**2 - 18*k**2*s**2 wrt k.\nAnswer: 780*a*s + 36*a - 402*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*u - k, -36*k - 9 = -u - 38*k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2\/3, 269, -4\/3 in decreasing order.\nAnswer: 269, 2\/3, 2\/11, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 + 0?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-598)\/54 - (-57 - -46)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9, -29, 4, -48?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11946000 rounded to the nearest one hundred thousand?\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**2 + 18024*u - 126315 = 0. Calculate u.\nAnswer: -6015, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300) + 5 - (4 + sqrt(1300) + 4))**2.\nAnswer: -60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1196*k + 3*k**3 - 2 - 606*k - 590*k.\nAnswer: 3*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 32, 62?\n\"Answer: 30*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7808 - 7634. Calculate the lowest common multiple of l and 171.\nAnswer: 9918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 4*r - 18*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-10)\/7) + -47 + 43\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*z = u - 15, -3*z + 15 = 4*u. Solve -4*s = -u*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o = 29. Let b be -290*(6\/(-15))\/(-3 - 85\/(-25)). Calculate the highest common factor of o and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2986070238?\nAnswer: 2, 3, 293, 188729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/((-1)\/48). Suppose 2*f + 3*d = -2*f + 15, -o = -2*f + 4*d. Let r = -599 - -621. What is the smallest common multiple of r and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 2368?\nAnswer: 2368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -394 + 454. Calculate the greatest common divisor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 651 and -7.\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 - 1119*l - 2239. Give y(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*f + 15957 = -368*f - 641*f - 24597 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -15 (b) -1 (c) 0.5 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/85*(-34272)\/30240.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.77954g?\nAnswer: 0.00000677954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.383 times -3?\nAnswer: -7.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 29*g**3 - 4775*g**2 - 11*g + 5. Let a(q) = 11*q**3 - 1591*q**2 - 4*q + 2. Give 8*a(t) - 3*s(t).\nAnswer: t**3 + 1597*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from mytmz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 42. Let o = -0.1457 - 2.8543. Which is the closest to t? (a) o (b) -0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 52*m**2 - 1087*m - 17. Determine t(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {e: 6, a: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrb. What is prob of picking 3 r and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 150.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*(-1)\/(-4)*4. Suppose 2*i + 2*i + 54 = 5*h, x*i = -3*h + 25. Solve -10 = 4*j + h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7 + 6*y**2 - 16*y - 6 + 13 as r + c*y + a*y**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 8)*(1 - 3 - 2)*(-682*b + 162413 - 162413).\nAnswer: 10912*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-970)\/(-40) + -25)*(0 - 1\/3). Which is the closest to -3\/5? (a) 1\/3 (b) x (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1029*l + 1. Let i be j(3). Suppose -a = 4*a - 57560. Let w = i + a. What is w rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1 + 1\/60*n**6 + 0*n**4 + 0*n + 0*n**3 - n**2 - 1\/30*n**5. Let b(l) be the second derivative of f(l). Solve b(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -192935\/13 + 14841. Which is the nearest to 0.5? (a) q (b) -3 (c) 3\/7 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9593 + -9575. Let z(r) = -r**3 + 10*r**2 + 12*r + 13. Calculate the least common multiple of z(11) and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243660 by 2.\nAnswer: -121830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 691145 and 1176.\nAnswer: 16587480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19514 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: Find the second derivative of -26468277*p**2 + 3*p + 858161.\nAnswer: -52936554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**3\/2 - 6995*v**2\/2 - 173410*v - 332810 = 0.\nAnswer: -46, -2, 1447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-63))\/((-12)\/14). Let g = -3 - -2. What is the third smallest value in g, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 59802.3 nanograms?\nAnswer: 0.0000598023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + 1 + 0 - (sqrt(117) - 6*sqrt(117)*2)) + 3*sqrt(117)*-2*-1)**2 + 1 + 4.\nAnswer: 114*sqrt(13) + 42243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 7 = -1. Let l(f) = 11*f**2 + f + 2. Let n be l(q). Suppose -4*v + 1 = -43. Calculate the highest common divisor of v and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245471 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.72827 rounded to 2 dps?\nAnswer: 119.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 - 19*n + 45. Determine t(7).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*w + 2, 2*j + 21 = -w - 2*j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, and 2 z when four letters picked without replacement from {z: 4, y: 2, n: 2, e: 1, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 735898 = -3*z - 9*u + 11*u, -z = -3*u + 245297. What is z rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 + 27*m + 17. Let z(s) = -s**2 + 9*s + 6. Let i(o) = 6*d(o) - 17*z(o). What is the second derivative of i(g) wrt g?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**3 + 15*j**4 + 318*j - 7*j**3 + 19*j**3 - 316*j + 16 to the form n*j**3 + u + w*j**2 + i*j + c*j**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (4 + (-4 - -4))*(-249)\/(-6) and 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2778, 1\/10, 4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6652392*j**3*t - 1587624*j**2*t + 4*j*t wrt j?\nAnswer: -39914352*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -6e8?\nAnswer: 6f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, -62, -247, -612, -1217?\n\"Answer: -10*m**3 + 5*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 3*a + 13. Let w(k) = 3*k**2 + 6*k + 27. Let n(t) = 5*l(t) - 2*w(t). Let b(f) = -2*f**2 - 2*f - 6. Give -7*b(v) - 4*n(v).\nAnswer: -2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 6)*(8 - 138\/12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - -1)*(-9)\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 66. Suppose -d*t + 0 + 6 = 0. List the prime factors of (t + -1 - -1) + (-1513)\/(-17).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 - 7*f + 259.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**3 + 4*t**2 + 34*t - 112. Determine y(5).\nAnswer: 533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14626 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409113054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -554\/3 - -6103\/33. Let m be (70 - -6)*(-10)\/16. Let f = m + 53. Calculate the common denominator of w and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3371*v**2 + 8*v + 8. Let i be t(-1). Let y = -1414 - i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*d + 2*d - 24 = 0, -p - 5 = 2*d. Suppose f = -p*f + 8. Let h(t) = 6*t - 2. Let q(a) = 3 + a + 2 - 6. Give f*q(v) - h(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -68, -75, -82, -89, -96?\n\"Answer: -7*c - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1726 - -3808. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 z when three letters picked without replacement from zcqzqzzcq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21718 divided by 37?\nAnswer: -21718\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 30*z + 43. Let l(q) = q**2 + q - 1. Let g(u) = -i(u) + 2*l(u). Is g(-25) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1892)\/516)\/((7*(-12)\/(-126))\/(-2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 145 + 160 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/67768987 and -59\/66.\nAnswer: 406613922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -291.2 and 3502.\nAnswer: 3210.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-95)*(6526\/(-52) + -12).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 5 - -2)*3. Let c(n) = n**2 + n + 1. Let f(b) = 3*b**2 + 12*b + 17. Let o(y) = 4*y**2 + 18*y + 26. Let d(h) = 8*f(h) - 5*o(h). Give t*c(v) + d(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 498074 = 160*o - 164*o, -o = 4*w - 996148. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*l + 0*l**2 + 18*l + 27*l**2 + 24*l**2 wrt l.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -148230, -145299, -137340, -121839, -96282, -58155, -4944?\n\"Answer: 419*n**3 - 2*n - 148647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - ((-124 - -108) + (87 - 3))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 12*c - 71. Calculate h(15).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1374*x**2 - 3*x - 2. Let g(m) = -m**2 + 6*m + 9. Let r be g(7). Suppose 0 = r*t + 2*t + 8. Let l be q(t). Round l to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-13) - 2*(-62)\/(-208). Sort 1, 0, 0.4, f.\nAnswer: f, 0, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/2 of a gram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 4*a - 3 = -19, -12*u - 1411 = 5*a - 1364 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 134*o - o - 1824 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(0 + 2 + -3) - 14 - (-315)\/75. Suppose 0 = 2*k + 27 + 23. Let h be 2\/k*-1*5. Which is the fourth smallest value? (a) l (b) h (c) 2 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 369921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(7\/4)*z))\/((z\/z**(5\/3)*z)\/z)*((z\/z**(-2\/37))\/z)\/(z\/(z*z*z*z*z**(1\/9))) assuming z is positive.\nAnswer: z**(2773\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3984*0.3\nAnswer: -1195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 2:39 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 27. Let j(g) = -2*g + 1. Let a(r) = f(r) + 2*j(r). What is a(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*h**3\/5 - 438*h**2 + 29754*h\/5 - 1458\/5 = 0. Calculate h.\nAnswer: -27, 3\/61, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**3 - 14272 - 6212 - 10*k**3 + 26*k**3 - 453.\nAnswer: -2*k**3 - 20937","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(125) - (sqrt(5) - (sqrt(50)\/sqrt(2) - sqrt(25) - sqrt(25))\/sqrt(5)))**2 - 1*sqrt(270)\/sqrt(6)) + 4.\nAnswer: -21*sqrt(5) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33905 is divided by 11183?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749 is divided by 736?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**5 - 14638773*m**4 + 146878*m**2 + 9*m + 87.\nAnswer: -60*m**2 - 351330552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - 2*z. Let i be m(2). Let f be 1*-2*(0 - 2). What is the third derivative of 3*o**2 + i*o**f - 2*o**4 - 4*o**2 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -967, -50, -29.\nAnswer: -967, -50, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 64?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22189, 90863, 206027, 367681, 575825, 830459, 1131583?\nAnswer: 1479197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -242343203 (base 5) to base 13\nAnswer: -30a87b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5468 - -5469. What is the fourth biggest value in -0.5, -3, -81, o?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.246863 rounded to 1 decimal place?\nAnswer: 48.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c + 23. Let m = -7 + 13. Suppose -5*s = -m*s. Is l(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 z, and 1 h when three letters picked without replacement from gqhhhhhhghzgghq.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140.68 + 1.32. Let j = -141.9999943 + x. What is j rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**(-17\/4))**49\/((k**2)**(-13\/4))**45 assuming k is positive.\nAnswer: k**(1046\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5322)\/28384*(-12)\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 114 = -v, 0 = 2*x + 10*v + 46092 - 46000 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**8\/1008 - 2*c**7\/315 - 11*c**6\/360 - c**5\/30 + 3*c**2 + 6*c. Suppose u(s) = 0. What is s?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -103*m**2 - 143*m + 4043. What is o(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 808\/410217 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14022*w - 14029*w - 3*h + 5, 12*w + 5*h = 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 158291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -14983.10417 to the nearest one hundred.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6291063 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187 by 2590111.\nAnswer: -187\/2590111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 - 4 = 0. Let k = z - 4. Let p be ((-4)\/2)\/(16 - 40). Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6617423 is divided by 996?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -92?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - ((2 - 6) + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/10 + 32*c**2. Let z(u) = 8*u. Give n(z(o)).\nAnswer: -384*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2186144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-11)*u*u**(-1\/5)\/u*(u\/(u\/((u**(-22)*u*u)\/u))*u)\/((u*u*u\/u**(11\/3)*u)\/u*u) assuming u is positive.\nAnswer: u**(-473\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 106200*t**3 - 5*t - 106397*t**3 + 10*t.\nAnswer: -197*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(12)*-1) - 3*(sqrt(25) + sqrt(900)))\/(-4*(sqrt(320) - -2*-1*sqrt(320))).\nAnswer: -11*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ucvccbccvvucu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 505 = -2267. Is 42 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -4 - 1) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/(-2))*(-2)\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -42. Let c = 43.17 - u. Let f = c + 0.03. What is the closest to 2 in 1\/2, -0.1, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**3*k*v**2 - 2*b**3*v + 101*b + 39*k*v**2 + 5*k*v + v**2 wrt k?\nAnswer: 2*b**3*v**2 + 39*v**2 + 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76\/3 + 27. Let u = 0.4 - 1.4. Let r = -357\/2 + 1789\/10. Sort r, q, u in ascending order.\nAnswer: u, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*a + 7*a + 41 = -70. Let t(p) be the second derivative of 0*p**a + 3*p - 4*p**2 + 10\/3*p**4 + 0. Find the first derivative of t(o) wrt o.\nAnswer: 80*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -27958*a - 111876. Determine h(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 1. Calculate r(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3516 + 0.1796. Let u = h - -0.072. Let s = u + 4.1. Is -1 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 6*x**2 - 3*x. Let t be q(-3). Solve -4*d = -4*p - 4, 4*d - t = -4*p - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 7. Let d(x) = x + 6. Let u be -1*6\/(-4)*-4. Let c(s) = u*d(s) - 5*r(s). Is c(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, w: 2, b: 4, c: 3}. Give prob of sequence wcbv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*125\/(-100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35\/28)\/(2\/152). Suppose 3*m + x = 8*m. Calculate the highest common factor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1010 or 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 225 - -429. Suppose -11*p**2 + s*p - 645*p - 13*p**2 = 0. What is p?\nAnswer: 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.139? (a) 2\/5 (b) 4 (c) 3577 (d) 3 (e) 1\/4 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 941 + 3?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 1. Let g be ((-3)\/((-15)\/4))\/(-2). Let s = -4\/13 - 1\/39. Which is the nearest to g? (a) s (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (38\/(-5) - -8)\/(1\/(-260)). Let v = s - -117. Solve 9*d - 12 = v*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 128?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31429*x - 31233*x = -392 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12)\/(105393\/(-25886)*(-21)\/18)\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*i + 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h. Let i(r) = -7*r - 8. Calculate c(i(y)).\nAnswer: 49*y + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/3 (b) 31\/11 (c) 0.4 (d) -0.3 (e) -0.5 (f) -1.2823\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*i + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -646*o**4 - 140*o**2 - 12*o + 9245 wrt o.\nAnswer: -7752*o**2 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -21*s**2 + s + 39*s**2 - s + 26*s**2. Let o(b) = 2*b. What is o(h(u))?\nAnswer: 88*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 11*f**2 - 3*f - 8. Is 25 a factor of g(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlw when three letters picked without replacement from wwwlwwwl?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j + 122 + 35*j - 16*j.\nAnswer: -2*j + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 0, 349*h - 352*h = 5*r - 881. Solve 177*u + 4*v - 8 = r*u, -u - 4 = -2*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i + 12 = 0. Let t(q) = -4*q + i*q**2 + 0*q - q**3 + 3*q**2 + 12*q**2 - 12. Let o be t(27). Round o to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 0.317499?\nAnswer: 0.217499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.918 + -0.082. Let h = -250 - -209. Let q = h - n. Which is the second biggest value? (a) -4 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-17 + 5 - -30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 28 = 4*d, 5*d + 11 = 8*z - 5*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*i + 4*s + s, 5*i - 4*s = 14. Let b(y) = 3*y**2 - 82 + 162 + y**2 - 81. What is the tens digit of b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = -29*z + 22*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: Which is smaller: -5790 or -5791?\nAnswer: -5791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/15 (b) -463 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5677249057\/17357 - -327087. Let j = 24608499383869617\/138856 + -177223162000. Let o = h + j. Calculate the common denominator of o and -89\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + -7 - (1 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42266 - -9013. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-89 + (-7 - 0))*-2. What is the greatest common divisor of 56 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**3)\/k*k*k*k**(2\/17)*k)\/(k**(-1)*k**(-6)*k*k*k) assuming k is positive.\nAnswer: k**(87\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 3*f + 2. Let r be j(-2). Let b = -8 + r. List the prime factors of 1 + 21 + b + 4.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 148?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3\/2 - 27*z**2 - 84*z = 0.\nAnswer: -14, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*q)\/(q*(q\/q**(-3\/19))\/q) assuming q is positive.\nAnswer: q**(-60\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/(-15)*462\/1232).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3357 + -104.2057. Let i = -98.7012 - -0.1012. Let s = i - l. Round s to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-45)\/(9225\/(-1394))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.963 - 38. Let r = 0.237 + x. Which is the nearest to r? (a) -5 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:05 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from mxmxfmmbfbfxmfxb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/7 and (-269)\/45 + (-2)\/15?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 18*l = -11, 10*p - 2*l = 9*p + 5 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/11))**(-14\/9)*v**12\/((v*v*v*((v*v\/(v*v**(-5)*v)*v*v)\/v)\/v*v)\/v))**(-42) assuming v is positive.\nAnswer: v**(-3976\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v - 46*v - 2992 = -296*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 2, 267.2124?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14577523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 17*g**2 - 81*g**2 - 2.\nAnswer: -98*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(1584)) - sqrt(1584)) + sqrt(44)\/(sqrt(576)*4).\nAnswer: -10 + 2305*sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1877 + 1870. Let w(a) = -a**3 - 6*a + 2 - 7*a**2 + a**2 - 2*a**2 + 0. Give w(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31926740 a multiple of 1191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**3 - 82*n**3 + 391 - 131 - 136 - 124.\nAnswer: -71*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 7 - ((-4 - 1) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + f = -55 - 10, -95 = -5*g + 4*f. Suppose 4*r - 9*r = g. Sort -8, 4, r in increasing order.\nAnswer: -8, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -362.1 - -362. Let y = -3 + 1. Let p = y + 2. Which is the second smallest value? (a) 1 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8167410961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxp when three letters picked without replacement from {p: 3, f: 1, x: 5}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 284?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6572394 to 3 dps.\nAnswer: 3.657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = 2*f, 0*f + f = -z. Suppose 3*p = f*p - 18. Let d be -2 + 0 + p + -2. Solve 4*n = 0, -2*n - 2*n = -d*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 19, 45, 91, 163, 267, 409, 595?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gau when three letters picked without replacement from {u: 1, n: 2, g: 1, w: 1, v: 2, a: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:36 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-12))\/(j*j**(2\/9)) assuming j is positive.\nAnswer: j**(-110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 + 18*b**2 + 5*b - 19. Let j(k) = k**3 - 6*k**2 - 2*k + 6. Let x(w) = 7*j(w) + 2*u(w). Let o be x(-4). Is 12 a factor of (-6)\/((-1 - -3)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178815?\nAnswer: 3, 5, 7, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4115059 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 8:33 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -853*n + 10466*n**2 - 10470*n**2 - 3157*n**4 - 3222*n**4 + 204*n**4 + 2 wrt n.\nAnswer: -148200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.7751 to 1 decimal place.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -66, -68?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (11 + -15 - (3 + -12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31a + -5?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-24)*17\/(-68)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660 by -132.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-1) + 261)*(-20)\/3840 and 97\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let a(r) be the first derivative of 35*r**3\/3 - 55*r - 2627. Determine a(h(i)).\nAnswer: 35*i**4 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14589620 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 - 11*w**3\/6 - 15*w**2 + 85*w. Let r be i(-6). Solve 10*l + 64 - 14 = r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2229323 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggid when four letters picked without replacement from {l: 4, d: 4, m: 1, g: 3, k: 2, i: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(1\/(-3)). Let x(r) be the third derivative of -1\/120*r**6 + 1\/24*r**4 + 9*r**2 + 0 + 1\/3*r**3 - 1\/60*r**5 + 0*r. What is x(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 43*k**2 + 119*k - 6. Determine g(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (5 - 1)*-6. Suppose 3*j + m = 8*j. Suppose -j*g + 4*y = -54 - 38, 4*y = 8. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 w when three letters picked without replacement from {p: 6, q: 5, g: 1, w: 7}?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 3*h)*(145346 - 73408 - 73521).\nAnswer: 3166*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**2)*b)**(6\/17))**(-7)\/(((b\/(b*b**(-4)))\/b)\/(b\/b**4)*b**(-5)*b*b\/(b*b**(-4\/5))) assuming b is positive.\nAnswer: b**(-28\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/29 in -8, -0.5, -9.9, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-3\/4)*m\/(m*m**5*m)*m\/(m\/(m\/(m\/(m*m**(-11)))))*m**(3\/2) assuming m is positive.\nAnswer: m**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fek when three letters picked without replacement from xvkffelkffvkfkxvkeff.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -61, -92, -123?\n\"Answer: -31*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 4*o - 14. Let b be v(-6). Let c be 1*b\/(-20) + (-36)\/24. Let s = c + 46\/55. What is the common denominator of s and -5\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147865218*y + 67819483?\nAnswer: -147865218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - r + 30 = 0, -m = m - 3*r + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(288) + -2))**2 - (sqrt(288) + ((sqrt(288) - (-1 + sqrt(288)))*-2 - sqrt(288)))**2.\nAnswer: -1200*sqrt(2) + 7296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 102210001002 (base 3) to base 15\nAnswer: 48a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -5*b + 5*k, -101 = -3*b + k - 89 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -1\/2 (b) 6 (c) -2 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 999 and 8135893?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 4*d + d + (-4 + 4 - d)*(-4 + 2 + 3).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74836331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 3*b - 1. Let z(x) = -7*x**2 - 191*x - 172. Let j(r) = -4*p(r) - z(r). Find the first derivative of j(q) wrt q.\nAnswer: -2*q + 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a = -39*a + 19*a - 1062 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563014664.\nAnswer: 2, 71, 991223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 9 - 2*j - j. Let k(h) = 8 - 12 + 5. Let n(o) = 4*i(o) - 36*k(o). Let g(t) = 2*t**2. What is g(n(s))?\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.81931 rounded to 1 dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (764*(-2)\/(-4))\/(7\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4974021, -9948043, -14922065, -19896087, -24870109?\nAnswer: -29844131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21188023966 and 1?\nAnswer: 21188023965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20689)\/714 - -29) + (-2)\/(-180)*3.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/21))**(-4) assuming u is positive.\nAnswer: u**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*y**5\/7 - 5200*y**4\/7 - 44304*y**3\/7 + 113984*y**2\/7 - 1024*y = 0.\nAnswer: -28, -16, 0, 2\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvjvfvxxkvjvvvfx. Give prob of picking 2 j.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t + 4*p + 241, 0 = -5*p + 5. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1399, 2790, 4171, 5536, 6879, 8194, 9475, 10716?\n\"Answer: -h**3 + h**2 + 1395*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 293 - (10\/(-4) + 3)*6. Suppose 0 = 9*d + 92 - c. What is the remainder when 40 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5215 is divided by 1732.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 1. Let b be (44\/33)\/((-2)\/(-27)). Suppose 0 = 3*x + 33 - b. What is the third smallest value in x, 6\/7, t?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1181 divided by -5?\nAnswer: 1181\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 15. What is the nearest to 0.2 in k, -5, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/59))\/(i**(2\/27)*i*i) assuming i is positive.\nAnswer: i**(-1684\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 27 = 5*q. Let l be (189\/4)\/q*-40. What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from wxwwaaw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 8*k - 17. Let f(m) = m**3 + 43*m**2 + 120*m - 7. Let p be f(-40). What is r(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - ((-2)\/(-20))\/(4\/(-70)). Let d = q + 31\/12. Solve -1\/2*y**2 + d - 1\/6*y**3 + 1\/6*y**4 + 1\/6*y = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220407, -220376, -220337, -220290, -220235, -220172, -220101?\nAnswer: -220022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixxiixi. What is prob of picking 2 x and 2 i?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 4*b**2 - 4*b + 6. Let s(d) = 3*d**3 - 5*d**2 + 5*d - 6. Give 4*s(l) + 5*w(l).\nAnswer: 2*l**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58028 rounded to 2 dps?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 295 + 148. Suppose 5*d + 2*m - q = -m, 4*d - m = 351. Calculate the highest common divisor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9180 = 410*p - 55*p - 15*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*i**3 - 85\/3*i**2 - 455\/3*i - 245.\nAnswer: -5*(i + 3)*(i + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 2639, 171.\nAnswer: -50, 171, 2639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/18204 and 31\/109224?\nAnswer: 109224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, -1.1, 1\/4, 1 in descending order.\nAnswer: 1, 1\/4, -0.13, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106 (base 10) in base 14?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 5*l = -43*c + 2081, 4*c + 2*l - 2090 = 0. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/9 - 505984*n**3\/9 = 0?\nAnswer: -252992, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g + 4 = -33*g + n, -196 = g - 51*n + 12*n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 + -0.5\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeyyeyyj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2736)*-2*6*6.\nAnswer: -864*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 18050520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*15.4\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -483 (base 9) to base 5.\nAnswer: -3044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03586242 * -4\nAnswer: -0.14344968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3805, 15249, 34485, 61645, 96861?\nAnswer: 140265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - 8) + (-2 + 0)\/1. Which is the nearest to 0.1? (a) -2\/11 (b) 1\/3 (c) n (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9 + 3 + 1 - d. Let p be r(13). Suppose k - 3*k + 382 = p. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 + 2*d**3 + 2*d**3 - 2*d**3 + 4 - 4 + (-d + 4*d - 5*d)*(0*d**2 - 2*d**2 + d**2) + 0*d - 3*d**3 + 0*d to n*d**2 + w + s*d**3 + c*d and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:00 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8. Suppose i = -t + 48 - 1. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) -10146.7 (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 22. Suppose -k - 2*h = 2*k + 18, -30 = 5*k + 5*h. Let t be q(k). Let o(v) = v**3 + 6*v**2 + 6*v + 5. Determine o(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -408 - -612. What is the remainder when p is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**4\/2 + 2*z**3\/3 - z**2 - 2*z - 80. Let a(k) = -4*k**3 + 5*k**2 - 5*k - 5. Calculate 2*a(v) - 5*u(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r + 1. Let f be u(-29). Let a = 150 - f. Solve a*l + 10 = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 53*s**2 + 3*s + 4. Let a be o(-1). Let x = a + -109. Let d be (2\/10)\/(-1) - 506\/x. Solve d = -3*k - 0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1521 is divided by 419.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13181.011 rounded to the nearest 10?\nAnswer: 13180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/39 + (-152)\/(-26). Suppose 4*b - i - 26 = 0. Solve 0 = 4*j + b + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**49*p**(-2)*p**(-7)*(p\/(((p\/p**(-5))\/p*p)\/p)*p)\/(p\/(p**(1\/4)\/p))*(p*p\/(p*p**(-2\/3)))**(-1\/28) assuming p is positive.\nAnswer: p**(53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2820 and 3689760?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/55224 and -137\/50622.\nAnswer: 607464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12730 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1158 (c) -2 (d) -0.01 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 15, 3*s + 2*n - 9275 = 6*n. Let i = 5924 - s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z + 5. Let p = 7 + 1. Suppose -6*y + 4*y + p = 0. Calculate the remainder when 113 is divided by r(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 360*r**2 + 4*r - 30. Let k(t) = -180*t**2 - 2*t + 12. Determine 5*k(j) + 2*p(j).\nAnswer: -180*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20653496873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 1. Calculate i(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 10:16 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*76447403\nAnswer: 30578961.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 41*n**6\/120 + n**5\/60 - 21*n**3\/2 - 37*n**2. Find the first derivative of k(q) wrt q.\nAnswer: 123*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/19, 2, -0.03, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54.14 + -54.146651. What is m rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 2*v**3 + 0*v - 1\/24*v**4 - 10*v**2 + 0. Let j be k(7). Solve -j*l + 2*r = -14, -3*l - r + 18 = r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 * -3\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*u**4 + 0*u**4 - 3*u**4 + (8 - 8 - 2*u**2)*(2*u**2 + u**2 - 2*u**2) - 10*u**4 - 18 + 18 + 0*u**4 - u + 0*u**4 + u**4.\nAnswer: -5*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1) + 209\/99 + -5. Sort u, -30, -3\/13 in descending order.\nAnswer: u, -3\/13, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 2\/19, -0.133, 464?\nAnswer: -0.133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11823*b**2 + 11823*b**2 + 8*b**3 + 7*b)*(2*b**2 + 2*b**2 - 5*b**2).\nAnswer: -8*b**5 - 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/12 - 7*u**3\/6 + 7*u**2 - 2*u. Suppose -10*o + 50 = -0. Let c be z(o). Calculate the highest common factor of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2073\/6)\/(2\/(-4)). Find the common denominator of (-8)\/3*(-147)\/(-70) and 4\/14 + o\/(-56).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 2\/11 (b) 17 (c) -75 (d) -3\/4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {j: 1, f: 2, k: 5, l: 2, q: 10}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/4 + 555*o. Let u(c) = 2 - 2 + 4*c. Calculate w(u(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 81840 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*w = -30 + 24, -4*r + 27 = -5*w. Solve -r*l = -0*n - 4*n + 8, 5*l - n = -2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5999321, 11998637, 17997953, 23997269?\n\"Answer: 5999316*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 8\/(-2))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4111935.02 to the nearest 1000.\nAnswer: 4112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 17*b - 57. Determine y(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/2*4\/(-36). Let m be 21\/(-6) + (-16)\/24. Is u at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*r + 29. Suppose n + 4*q + 17 = -4, -215 = r*n - 2*q. Let i = -24 - n. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110120 - -2133?\nAnswer: -101321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.4, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31124 + -342362\/11. Let -i*k**2 + 10\/11*k - 2\/11*k**3 - 6\/11 = 0. Calculate k.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ygggyyg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {v: 1, f: 6, g: 2, z: 9, o: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 22. Let x = r + -4. Let o = 6 + x. Solve -o + 4 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 10074 - 15246 = 0. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 10761.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.653 to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 1 + 11*r + 2)*(-3 + 2 + 0) + 11 - 11 - 3*r.\nAnswer: -16*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*m**3 + 441*m**3 - 219*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 * 0.2\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 266250224.7041?\nAnswer: 266250224.3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1081 - -119993\/111. Let o = -589 + 588. Which is greater: o or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v - 5. Let d be u(5). Let h = d - -67. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 18*c**2 - 2*c - 2. Let w be a(-1). Suppose -3*i + w = 3. Let s(p) = 3*p**2 - 8*p - 2. Calculate the remainder when s(i) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2592*s = -94*s + 830 - 830 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00464777 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7414937, -7414919, -7414901?\n\"Answer: 18*t - 7414955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3, -8, 4 in ascending order.\nAnswer: -8, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 - 3*c - 1. Let y be -2*(-4)\/6*-3. Let p be y\/16 - 11\/4. Is i(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b**2 - b**2 + 0*b**2)*(-2 + 0 + 3) + (0 + 0 + 1)*(2*b**2 + 3 - 3) - 7*b**2 + 3*b**2 + 0*b**2)*(-4*b**2 - 3*b**2 + 6*b**2).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.094 + -0.08. Let w = h + -0.01399963. Round w to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 5*d - 4. Let j be z(6). Suppose -3*k - k = 0. Suppose k = -0*l - 5*l + 20. Put j, 1, l in descending order.\nAnswer: l, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 0.61, 4, -2\/11?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 12*k + 15 = 3*b, 0 = b - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 2*z + 3. Let m be j(0). Let w(y) = y - 1. Let p be w(m). Suppose -p*h + 4*n + 10 - 24 = 0, 30 = -3*h + 3*n. Which is greater: 0.2 or h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 192194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -421020 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.6 - -1.53. Let v = r + 19.07. Let b = 18.62 - v. Round b to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -297*n**2 - 5786*n + 3076. Determine v(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-9) - (490\/(-3))\/7. Suppose -24*f + c*f = -4. Is 1 + 1058 - (-4 + 2 + f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*-4*((sqrt(800)*2)**2 + sqrt(800)).\nAnswer: 320*sqrt(2) + 51200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 9082.\nAnswer: 72\/4541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20145.9 - 20146. Which is the third smallest value? (a) -46 (b) 1\/6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 201226 = 68091. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 3\/26 (b) 1\/4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 1. Let u be 7\/35 + (-38)\/(-10). Let q(y) = -5*y**3 + 4*y**2 + 4*y + 3. Let p(o) = u*m(o) - q(o). What is the derivative of p(f) wrt f?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - sqrt(3800)*2)\/(sqrt(2) - sqrt(12)\/sqrt(54)).\nAnswer: -57*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.159908276 to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 247 (base 8) to base 5\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 1:39 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3))**2*-5 - ((-1 + sqrt(13) + 0)**2 + sqrt(13))) + -3 + -3 + (sqrt(130) - -3*1*sqrt(130))\/sqrt(10).\nAnswer: -85 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 8*q**2 + q - 4. Let s be i(8). Let l = 15 + s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28 - 4 - 88 - 75 + 36 - 322*g**4 wrt g?\nAnswer: -1288*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*c - 336*c = 360. Suppose -k - 38 = -4*b + k, 0 = b + 4*k - 32. Calculate the remainder when c is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, b: 1, f: 2, h: 1, j: 1, m: 1}. What is prob of sequence hwf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.179 + -0.121. Let i = 1 + -1. Let o be (2\/(-8))\/(18\/(-48)). Put g, i, o in increasing order.\nAnswer: g, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -33*u**2 + 94*u - 718. Calculate o(7).\nAnswer: -1677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - b**2 - 2*b**2 + 11*b + 2*b**2. Let w be q(12). Suppose -d + 0*d - 2*i = 0, w = -i - 2. What is the second smallest value in d, -5, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(1*(0 - 4)). Suppose 9 + j = -2*r. Let d(u) = -2*u - 4. Let g(t) be the third derivative of -t**4\/12 - t**3\/2 + t**2. Calculate r*d(z) + 6*g(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2 and 49\/73285?\nAnswer: 146570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*q + 6184*q - 135486 = 0 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -1\/6*o**3 - 1\/120*o**5 - o**2 + 1\/16*o**4 + 0 + 0*o. Determine h so that j(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.41 + -0.01. Suppose -11 = 4*h - 27. Let m be (2\/12)\/((-1)\/h). What is the nearest to t in -4, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:06 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 25*k**5\/3 - 43*k**4\/8 - 2717*k**2 + 2*k. What is the second derivative of s(z) wrt z?\nAnswer: 1000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119.7 + 118.7. Which is the fourth biggest value? (a) -2 (b) w (c) 1\/8 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = -10*q + 5*q - 0*k - k - 27, -k - 30 = 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*d + 384, 4*d - 192 = -0*q - q. Suppose q = 2*k + 36. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 2*g - 95, -250*f = -252*f + 5*g - 237 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 822044.9m in nanometers?\nAnswer: 822044900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 1 + 2 + 22 + 2. What is the greatest common factor of y and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a - 22*a = 22*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 3 - 3)*(-1672 + 8517 - 23781 - 6426 + 8252) as c + y*l and give y.\nAnswer: 15110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3585, 2, -4, 360\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 20 + -26 + (1 - (-1 + (15 - -4))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 17 + 3461*m - 38 + 5 - 1138*m to the form a*m + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7844 by 9.\nAnswer: -7844\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2. Let g(k) = -2*k - 4. Calculate w(g(r)).\nAnswer: -20*r**2 - 80*r - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t + 6. Let f be g(0). Suppose -94 = 2*z - f*z + 5*s, 2*s + 4 = 0. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706634?\nAnswer: 2, 353317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let h be (-140)\/(-15) + (-47 - -38). What is the second smallest value in o, h, 65?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*i - 5*x + 24, -3*x + 10 = i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17518063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*j + j**4 + 2*j**2 - 155*j + j**3 - 3 - j**2 + j**3 as g*j**2 + q*j**3 + y + n*j**4 + a*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -144 in -0.2, 2\/3, 11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/27)\/((-2)\/6)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (58 - 2160\/30)*((-12)\/10 - -1). Which is the third biggest value? (a) x (b) 30 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0869395532 to 4 dps.\nAnswer: -0.0869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 10*i**2 + 7*i**2 + 1 + 0 as p*i**2 + j*i + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 3*r - 756. What is the remainder when 427 is divided by r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -131*d + 138*d - 189. Solve -19*x - 40 = -d*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) -2865\/4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 9. Let c(d) = 2*d**3 - 4*d - 3. Let q(t) = -t**3 - t - 1. Let z(k) = i*q(k) - c(k). What is the second derivative of z(w) wrt w?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2075, -4154, -6235, -8318, -10403, -12490?\nAnswer: -14579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, z: 1}. What is prob of picking 1 z and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -3) + 5 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*b**4 - 7*b**4 - 20*b**4 + (b**2 - 4*b**2 + b**2)*(-2*b**2 - 24*b**2 + 0*b**2) to t*b**3 + c + k*b + q*b**4 + y*b**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/30 and 93\/28419920.\nAnswer: 85259760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q**2 - 31*q**2 + 3*q**2.\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7470 by 3.\nAnswer: 2490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 2*n + 0*n + 0 + 2*n + 0 + (3 + 1 - 2)*(3*n + n - 2*n) - 4*n - 2*n + n - 264*n + 1227*n + 274*n.\nAnswer: 1236*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120068, -240137, -360206?\nAnswer: -480275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04215*-13.\nAnswer: -0.54795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -277, -710, -5, 5.\nAnswer: -710, -277, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 1)**2 + -2 + -2*(sqrt(176) + 2)**2.\nAnswer: -185 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*171\/(-399)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9359 - -102947\/11. What is the third smallest value in 2390, -4, h?\nAnswer: 2390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 17*f - 3. Suppose 0 = 2*t - 4*b - b + 45, 0 = 3*t + 3*b + 36. Let l be (-6)\/t + (-8)\/(-5). Is a(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w - 5. Let f(u) = -4*u - 9. Let o(v) = 3*f(v) - 5*h(v). Let p(y) = -4*y - 4. Let s(t) = -t + 3. Let b be s(6). Determine b*p(g) + 7*o(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-532)\/(-154) - -1) + 12\/22. Suppose -6 + 36 = 2*r. Solve -10 = -a*l + r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14 - 1)*26\/(-390). Put i, -3, 21 in ascending order.\nAnswer: -3, i, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1903662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*d - 200*d - 78*d.\nAnswer: -337*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 117.6. Let n = -2.6 + s. Is n at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 21 - 39 = 0. Suppose -47*o + 51*o = m. Let j(y) = 6*y. Let u be j(2). Solve -i - o*i = -u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -3 (c) 4 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3751, -9\/4, -2\/5?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0013852507 - 5820\nAnswer: -5819.9986147493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 8*t**2 - 2*t + 5*t - 3*t.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*w + 107 - 299 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16032860 + -12?\nAnswer: 16032847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Let x(p) = -63836279*p. Calculate x(h(o)).\nAnswer: -127672558*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.7202597 or 1?\nAnswer: 3.7202597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*b**3 - 2*b**5 + 4*b**5 + 12*b**3 + 4*b**2 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, q: 9, a: 1, u: 4, v: 1}. What is prob of sequence avq?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24322229*j - 17525310?\nAnswer: -24322229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 0*s**3 - 4\/5*s**5 + 3*s + 1 + 0*s**4 + 0*s**2. What is the derivative of n(h) wrt h?\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 - 17 = -24*d. Which is bigger: d or -11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 1, -1\/11, 2, 0.4, 6, -6045?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 1222?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.2. Suppose 21 = -9*u + 10*u + f, -4 = 4*f. Which is the nearest to d? (a) 0.3 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 7. Let b be 68\/8 + (-3)\/6. Give h(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y**3 - 10*y**2 + 12*y + 3. Let k be a(6). Suppose -i + k = -5*h, 0 = 2*h + 3 - 13. Suppose 0 = -d - 9*d + i. List the prime factors of d.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + 19*w - 12. Let f(b) = -6*b**2 + 7*b**2 + 0*b**2 + 6*b - 4. Let o(p) = -7*f(p) + 2*z(p). Suppose o(d) = 0. What is d?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2709*b + 375*b + 109*b to s*b + f and give s.\nAnswer: -2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x**2 - 14*x**2 + 16*x**2)*(-2*x**2 + 2*x**3 + 2*x**2) + (-4*x**2 - 7*x**3 + 4*x**2)*(x - x + 10*x**2).\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {t: 2, j: 1, m: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 + 113)\/(10\/(-90)*-9) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 5:02 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 3*r**2 - 1. Let c be g(-2). Let h = 12 - c. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 1 + q**4 + 4*q**2 - 4*q**2 + 3*q. Differentiate t(u) wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/54 and (0 + (-45)\/(-105))*(-217)\/(-44).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8. Let m = -1.5 - h. Let s = 8.59 - 8.99. Which is the closest to -2\/5? (a) -3 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11130 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 6*v + 3*v)*(1 - 3 + 3) - 32 - 107*v + 32.\nAnswer: -109*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-85)\/(-25) - 6\/15. Suppose -2*p - f + 106 = 3*p, 0 = -t*p - 3*f + 54. What is the least common multiple of 20 and p?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 146244*c - 1170053. Calculate v(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1598072\/281 or -5686?\nAnswer: -1598072\/281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-30)\/6 + 6)\/((-1)\/(-1)). Solve 0 = -3*t + z - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2039869 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + b + 3. Let n(x) = x**2 - 2. Let v(d) = -3*n(d) - 2*u(d). What is v(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4023651258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*v - 66 - 7 = 0, -46 - 24 - 54 = n + 5*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2 - (-653 + 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2*(-1)\/(-2)). Let w be (3 - f)*9\/2. Solve -w - 1 = -5*r, -4 = 3*q - 2*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 344*u - 343*u - 16, u + 16 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162.2 + 1458.2. Let w = k + -1279.06. Let z = -17 + w. Which is the closest to z? (a) -5 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpmxxffxfp. What is prob of picking 3 x and 1 m?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10496 greater than 10497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -462998+1345\nAnswer: -461653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 17*o**3 - 22*o**2 - o + 233. Is f(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887 = 2*b + 2*j - 327, 2446 = 4*b - 5*j. Is b a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/9 + 108178*t**3\/9 + 540814*t**2\/9 - 1406170*t\/9 + 252392\/3 = 0. What is t?\nAnswer: -54084, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 17*c - 16 = -5*d, 4*d = -2*c + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (2 + -6 - -10)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 1. Let n(b) be the second derivative of b**3\/6 + b**2\/2 - 2*b. Let f(u) = -m(u) + 5*n(u). Let c(o) = o + 1 - 2 - 2*o. Determine 4*c(l) + f(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 63, 1, 3, -3 in decreasing order.\nAnswer: 63, 5, 3, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1030*v**2 - 5*v. Let b be n(4). Round b to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62497.61 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(-3)\/n)*n**(-5))\/(n**1)**(31\/2)*(n**(-1))**(-2\/153)*(n**(-1\/2)*n)**(-2\/37) assuming n is positive.\nAnswer: n**(-198293\/11322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*r**2 + 462*r**2 + 109*r**3 + 158*r**3 - 50*r**3.\nAnswer: 217*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (28 - 68) - -24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 8*p**2 - 15*p - 2. Let d be n(-2). Which is the closest to -1? (a) 5 (b) d (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -5, -11, -19, -29?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j - 131 = 1. Suppose -j*h - 15*h = 18*h. Solve -k + 3*l = 16, -3*k + h*k - 4 = 2*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(2\/20))\/(-22 - -24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 122\/15, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t + 21725 = -2*t. Let k = t - -809. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42051404 and 22304?\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 434440*x = 434443*x - 27, 5*x - 35 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.7 and 0.0099.\nAnswer: -0.01683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.37844826762222 + 2.\nAnswer: 5.37844826762222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 319253 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3\/3 - 47*o + 769. Let u(k) = -6*k**2. Give u(l(b)).\nAnswer: -6*b**4 + 564*b**2 - 13254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-3 - -2) - 3664\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2163.\nAnswer: -6489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 372 or 383?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 371086127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 50*h - 177. Let v(k) = -23*k + 88. Determine -4*c(s) - 9*v(s).\nAnswer: 7*s - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 672052959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16527695011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -3*x - 12. Sort -0.2, 0.4, x.\nAnswer: -0.2, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.054 and 184.67.\nAnswer: 9.97218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3516*q**2 + 3571*q + 54. Calculate s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10485439141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 7\/((-28)\/(-24)). Suppose j*y = 2*n + 5*y - 449, 3*n - 669 = 3*y. What are the prime factors of n?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 18, 0, -377, -3, -1 in ascending order.\nAnswer: -377, -3, -1, 0, 1\/5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/12*(-1)\/8\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032 - -10211?\nAnswer: 13303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*k + 20*k + 24*k - 311*k + 23*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4055)\/(-2)*6\/45*9. Suppose 2*r + p = c + r, 2*c - 4882 = -2*r. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2341 + 8242. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44687\/8 + 5569. Let f = 4\/559 + 37437\/2236. Let s = f + t. Which is the third biggest value? (a) 2\/3 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 504808*k**2 + 1514386*k - 5048020.\nAnswer: 2*(k - 2)*(k + 5)*(k + 252401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3061?\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(20\/9))\/(g*g**(-15))*(g**32*g)\/((g**(-4\/11)*g)\/g) assuming g is positive.\nAnswer: g**(5206\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1, 4, -5, -4, 5, -393 in ascending order.\nAnswer: -393, -5, -4, 1, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i = -5*c + 42, 5*c - 924302 = 4*i - 924308 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162 and 330?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxze when four letters picked without replacement from {e: 2, z: 5, x: 2, s: 11}.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348160 is divided by 1741.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 9:28 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -154. Suppose -2*l = x*d - 16, -l - 6*d + 9 = -3*d. Solve -3*o = -5*o + l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/18)\/(2\/12). Suppose d*w - 3*w = -27. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1339685 and 2635.\nAnswer: 41530235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20902363.29 - -20.427\nAnswer: -20902342.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbbib. What is prob of sequence ibbg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 7 + 3. Let l(j) = 4*j**3 - j**2 + 1. Let f be l(2). Suppose -f = -b*p + 3. Calculate the greatest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 - -103. Suppose s = -n*o + 254, -4*s - 3*o = -0*o - 1016. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -4, 1\/1562, -0.732?\nAnswer: -0.732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 + 8052*n\/13 + 2637638.\nAnswer: -2*(n - 6617)*(n + 2591)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352165.\nAnswer: 5, 37, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-12) - (-34)\/(-6). Let i be (h + 3)*1\/3. Which is greater: i or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 385 = -g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 231*l**5\/5 + 327*l**2\/2 - 182. What is the second derivative of h(b) wrt b?\nAnswer: 2772*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -8 + (8 - (9 - (8 - -16))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 125*n**2 - 127*n + 459. Calculate g(124).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15 = 3*n, 10*x = 9*x - 4*n + 10 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.583 + 1.583. Let o = -29.5 - -30. Which is the closest to r? (a) -4 (b) o (c) 0.3 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8921711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16782 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.141 minus 4?\nAnswer: -2.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916908069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2474013 by 4.\nAnswer: 2474013\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/9)*a*a*a**(-6\/5)*a\/(a\/((a*a**(-1\/4))\/a))*a**(3\/7)\/a*(a*a**(-1))**17\/((a\/a**(-1\/5))\/a*a*a**(3\/5)) assuming a is positive.\nAnswer: a**(-431\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + x + 4*x + 25500, 0 = y - 3*x - 5110. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/1)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6*r = 32. Let h = r - -24\/5. Which is the second smallest value? (a) h (b) -0.4 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -u - 15. Suppose 267 = 5*k - 2*k. Suppose k = v - u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49*211450\nAnswer: 10361050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 - 4*c**3 - 2*c**3 + (2 - 2 + 3*c**2)*(-c + 0*c + 0*c) + 21*c + 2*c**3 - 21*c to the form k*c**3 + f + y*c + z*c**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/85*2\/(2\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/4 + 5*r**3\/3 - r**2\/2 - 3*r - 2. Let k be i(-5). Factor -k*o**4 - o**3 - o**2 + 5*o**3 - o**2.\nAnswer: -2*o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 69 = -195 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**3 + 4*b**2 - b + 8. What is o(-3)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/3))**(5\/2)*(s\/(s**8\/s)*s)\/(s**6\/s) assuming s is positive.\nAnswer: s**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227 + 537. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -114 - (50 - (-115 - -180)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421593767 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a + a)*(-a**2 - 2*a**2 - 2*a**2).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 118184489 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337 + -338. Which is smaller: -8\/333 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 12355 = -4747. Let s = z + 2822. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 2:33 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 312 + -314.104. Let f = 31 - 29. Let k = f + r. Round k to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/6 - 2\/6. Let h = -103 + 106. Suppose 4*t - v - 4*v = 65, -15 = -o*t - h*v. Calculate the lowest common multiple of 8 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65436)\/(-1476) + (-180)\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - -11?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.1 in 8\/19, 307, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*h - 1, 2*h - 13 = 5*y. Let x = -0.35 - 17.65. Let q = 17 + x. Which is the closest to -1? (a) q (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 58*a + 460. Let t be o(-7). Suppose -2*h + 3*q = q + 2, 3*h + q - 17 = 0. Solve 5*i + l = 3, -t*i + 5*l = h*l - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.1. Let o = 361\/238 - 2\/119. Let j = 5 + -1. What is the closest to k in 1, o, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272792 divided by 5246?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, u: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*f - 4*f + 109, 2*a + 4*f = 86. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4067 (base 9) to base 10.\nAnswer: -2977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 22 = 3*l, l - 5*m - 30 = -4*l. Let b be (-42)\/(-49)*(15 + 3 + -4). Solve 0 = b*h - l*h - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -756937 by -2.\nAnswer: 756937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11934*y - 47746. Calculate d(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*r - 12, b - 5*r + 8 = -12. Solve 4*n = -3*m, -4*n - 2*m + m - 8 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 5*j - 151. Suppose -10*g + 4*g = 0. Suppose 5*p = 2*u - 120, g*u - p = u - 46. What is the greatest common divisor of u and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from {i: 15, d: 4}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 1:38 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/15)*z\/z**(3\/8)*z)\/(z**(-2\/65)*z*z)**(2\/121))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5)*(0*n + 0*n + n**3 + 0*n**3 - 3*n**3 + 4*n**3 + (-2*n**2 + 2 - 2)*(3*n - 4*n + 3*n))*(1 - 1 + n**2).\nAnswer: 10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -119*i - 3621 - 1989 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j - 510. Let y = -90 - j. Suppose 207 = 3*m - y. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1183.000001854 + 1183. What is o rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c**2 - c + 6. Let w be s(-6). Suppose 4*v - 9*v + w = 0. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlrlrlllllrrl. Give prob of picking 2 r.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 77514000 to the nearest 1000000.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17*q**3 - 3*q**2 + 3*q. Let l(c) = -35*c**3 + 5*c**2 - 5*c. Calculate 5*i(p) + 3*l(p).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)*j)\/j)\/(j*j*j\/(j\/((j**(2\/11)\/j)\/j))*j*j)*(j\/j**(2\/9))\/j**(-5)*((j**(-2)*j)\/j**6)**25 assuming j is positive.\nAnswer: j**(-17464\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3875 = 172*q - 2499 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -9. Calculate the remainder when 4\/(-8) + (-290)\/g is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -24*f. Let p(a) = -9*a. Let z(d) = -65*d. Let c(t) = 15*p(t) - 2*z(t). What is c(l(x))?\nAnswer: 120*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 7*y - 8*y + 28, 95*z - y + 23 = 99*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 492 - 493. Which is the closest to -0.2? (a) -4 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/5 - 1993*f**2\/5 + 3172*f + 7940 = 0. Calculate f.\nAnswer: -2, 10, 1985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - 11\/22. Suppose 5*w + 0*t - 3 = -4*t, n = 5*w + 5*t. Solve -22 = 4*y - g, -5*y - 16 - w = 3*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*j + 11*x, 0 = 46*x - 49*x for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 20 = 4*w. Let t(k) = -5*k + w*k + 0*k - k. Give t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122307 or -122311?\nAnswer: -122311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 - 3 - (-551)\/38. Let z = -28 - -56. Which is greater: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**4 + 2*o**4 + 2*o**3 + 2*o**4 - 6*o**4 - 1 to the form y*o**2 + x*o**4 + q + a*o + r*o**3 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Let s(a) = -4565640*a. What is r(s(i))?\nAnswer: 9131280*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11148256 divided by 2?\nAnswer: 5574128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76176772 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/5)*v)**(-2\/33)\/(v**(-2\/7)*v**(-3)) assuming v is positive.\nAnswer: v**(1209\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 1, p: 2, m: 8, h: 2}. What is prob of picking 1 m and 1 j?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(2\/(48\/(-100))))\/((-36)\/90).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p**5\/4 + 197*p**4\/4 - 6949*p**3\/4 - 1125*p**2\/4 + 3467*p\/2 + 232 = 0. Calculate p.\nAnswer: -29, -1, -2\/15, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2418 (b) 3325 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11007 (base 8) in base 13?\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 12. Let i be 10\/5*1 + x. Solve 0 = i*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - a + 2 = -5*a, 96*j = -a - 1733 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j + 2*j - d, -3*d = 5*j - 10. Solve -4 + 0 = -j*y - 5*s, -5*y + 4*s - 23 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3, 5, -1, -2507, -123 in increasing order.\nAnswer: -2507, -123, -2, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3721*l**4\/7 - 1525732*l**3\/7 + 156425046*l**2\/7 - 5127460*l\/7 + 42025\/7.\nAnswer: (l - 205)**2*(61*l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8675.928 milligrams in kilograms?\nAnswer: 0.008675928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 528405703 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -9848416.\nAnswer: -787873.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q + 2*o - 22, 2*q + 4*o = 22. Suppose -4*n - q + 33 = -2*w, -n + 13 = -3*w. Put 0.3, -1, w in decreasing order.\nAnswer: 0.3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2876 and 5.\nAnswer: 5.2876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -18*x**2 - 55*x + 1. Let r be c(-3). Solve 2*q + 8 = -r*l, -5*l + 1 = -4*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1191 = 5*r - 2*r, r = 12*n - 3563. What is the highest common factor of 33 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -59*l + 3. Calculate the remainder when a(-1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15018 - 15023.0756. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17100410 not equal to 17100410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, -0.1, -2, 287 in decreasing order.\nAnswer: 287, -0.1, -1\/2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 500*h - 129. Is f(37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/10 - i**4\/12 - i**3\/6 + i**2\/2 - i. Let v(q) = q - 3*q**2 + q**3 - 1 + 2 - 3 + 0*q**3. Let k be v(3). Determine b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359983100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v - 117 = 0. Let a = v - 36. Suppose -f = 5*u + 10, 5*u + 13 = a. Let y(i) = i**2 - 9. Calculate y(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/231 and -5\/10527.\nAnswer: 73689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 4*x - 3531. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -2*w**6 - 241*w**5\/5 - 454*w**4\/3 - 568*w**3\/3 - 112*w**2 + 5*w + 587. What is v in g(v) = 0?\nAnswer: -14, -1, -2\/3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 19 + 3 = 25*m. Let c(h) = 5*h**2 + 4*h - 31. Let s(k) = -k**2 - k + 6. What is m*c(y) + 11*s(y)?\nAnswer: -y**2 - 3*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*((sqrt(1900) + 0 - sqrt(1900)) + sqrt(1900)) - sqrt(1900) - (-4 + (sqrt(1900) + 1)**2)) + sqrt(1900)*2 + sqrt(1900) + 1 + -2.\nAnswer: -1900 - 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5743 bigger than -57417\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21061301.\nAnswer: 1481, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 326.9142 microseconds?\nAnswer: 0.0003269142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2484 + -0.1484. Which is the second smallest value? (a) z (b) 1\/8 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113233 - -2003?\nAnswer: -1111230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 14) in base 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -1 + 11. Let p(j) = j - 3. Suppose i - 41 = 5*x, -4*x - 53 = x + 2*i. Let t(a) = 4*a - 13. Determine h*t(q) + x*p(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 818.384um?\nAnswer: 0.0818384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17109 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, j: 4, y: 4}. Give prob of picking 3 y.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 62.528*140\nAnswer: 8753.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(-3*(-9)\/270).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239 + -219. What is the greatest common factor of 28 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Suppose -j*t + 4*p = -0*t - 89, t - 25 = -p. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 33*h**2 + 2*h + 0*h - 32*h**2. What is the tens digit of i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -106*k - 2809\/6 - 6*k**2 = 0.\nAnswer: -53\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 10*w + 5. Let l be g(4). Let v = -32 + l. Let b(a) = a + 6. Let r be b(6). Solve -v - r = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 7 + 19)*(-3*r + 0*r + r) as n + o*r and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123668*-0.6148.\nAnswer: 76031.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838640?\nAnswer: 2, 5, 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 8. Let u be l\/15 - 214\/10. Is 124\/6 + (-7)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 63, 0, 1\/4, -22 in increasing order.\nAnswer: -22, -6, 0, 1\/4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5486370, 10972705, 16459040?\nAnswer: 21945375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-49 + 15 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*i - 18 - 19*i**3 + 4*i - 2*i**4 - 18*i to u*i**4 + a*i + k*i**3 + l + m*i**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1c29b5 (base 13) to base 15.\nAnswer: e355d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9224801, 9224799, 9224797, 9224795, 9224793?\nAnswer: 9224791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 68*t**3 - 1. Let c be l(1). Let o = 111 - c. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 6. Suppose 15*r - 110 = 26*r. Let o be (17\/(-10) + (-2)\/r)*2. Let c(h) = 10*h - 30. Calculate o*c(l) + 16*s(l).\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngx when three letters picked without replacement from xgknnyee?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 4:01 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**(-8\/9)\/(((m*(m*m*(m*m**(11\/3)*m*m*m)\/m*m*m*m)\/m*m)\/m)\/(m\/(m*(m\/m**(-18))\/m))) assuming m is positive.\nAnswer: m**(-307\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/78 + 5*x**3\/39 + 6*x**2\/13 + 30*x. Solve i(f) = 0 for f.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.63 in -0.4, 2, -4\/5, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 325 - -19038?\nAnswer: 19360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 170, 357, 574, 797?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13587704 != 13587699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40330 + 0?\nAnswer: 40330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 11820.\nAnswer: 130020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:24 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 4. Determine x(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3435, -3433, -3429, -3423, -3415, -3405?\nAnswer: -3393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 2*x + 2. Let n be f(2). Suppose -4*u - n = -5*h, u = -3*u - h + 6. Solve -o + u - 4 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.0617?\nAnswer: 0.1851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 - 31 = 4*z + 21*t - 64 - 28, z = -4*t + 31 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 10*h - 7. Let p be (-2)\/4 - (-19)\/2. Let m be s(p). Suppose -m*b = -22 - 6. Calculate the remainder when b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41603923 to the power of 1\/2, to the nearest integer?\nAnswer: 6450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, -442, -1524, -3180?\nAnswer: -5410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 9*o**2 + 22*o + 19. What is h(-8)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24121 + 3685*z - 86*z + 24121 to the form v*z + y and give v.\nAnswer: 3599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6159 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -2 - (28 - (2 + 5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/164128 and -76\/107709.\nAnswer: 3446688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11221122 (base 3) to base 8.\nAnswer: -7030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.5161 weeks in hours?\nAnswer: 3110.7048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*w - 154. Is 5\/w - 219\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20*z + 21. What is a(5)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156090.5 decades in millennia?\nAnswer: 1560.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075\/(-90)*2*(-63882)\/17745?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 107. Suppose 0 = -b*f + 10*f + 5292. Suppose -4*z + f = -0*z. What is the greatest common factor of z and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -14 + 10 + 31\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 14*b - 5. Let x(w) = 4*w**2 + 15*w - 5. Let l(s) = 5*g(s) - 4*x(s). Let k(q) be the first derivative of l(q). Differentiate k(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**6\/3 + 224*f**3\/3 + 3*f**2\/2 + 1804*f - 1231. What is the second derivative of h(j) wrt j?\nAnswer: -80*j**3 + 448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(30\/(-2))*234\/195.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 + -106. Let g(w) = 2*w + 6. Let b be g(-6). Does b = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2. Let i(z) = -z**3 + 10*z**2 - 2*z + 23. Let q be i(10). Suppose 2*x + 3 = -w + 8, -x - 5*w = 11. Let o(s) = -3*s - q*s + x*s. Give p(o(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:05 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -127094, -254234, -381374, -508514, -635654, -762794?\n\"Answer: -127140*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -192 + 0*f**2 + 2\/3*f**3 + 0*f. Let s(t) = 2*t - 11. Determine s(c(o)).\nAnswer: 4*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4281293 to the nearest integer?\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10266 - -28433. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((0 - 0) + 17 + -21) - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h + 18 - 20 + 27*h to the form a + y*h and give y.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -114, -151 in descending order.\nAnswer: -2, -114, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -1 + 0 + 9*i - 7*i + 44*i**2. Let y be v(1). Solve -3*c - 2*c - 3*z = 40, -4*z - y = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 35.42. Let x = 0.08 - w. What is the third smallest value in x, 1, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1928*q**2 + 856*q - 856. Give c(1).\nAnswer: 1928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66976 take away -2479567.715?\nAnswer: 2412591.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2246810 rounded to the nearest ten thousand?\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 + 154. Suppose 10*y = 5*y + u. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 15. Let b = 512 + -5626\/11. Put b, w, 4\/9 in decreasing order.\nAnswer: b, 4\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -s + 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-2 + 1\/3). Let g be o - 0 - (1 - 0). Is 8 a factor of g\/((-39)\/(-12) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, v: 6, s: 3}. What is prob of sequence vvve?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6043 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g + 2. Let d be j(3). Calculate the greatest common divisor of 50 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/46779645 and 88\/4252695?\nAnswer: 46779645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b - 19*b - 19*b - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1 + 2\/1. Suppose 8 + 4 = s*b. Let j(y) = -1360 - 1365 + y + 2726. Calculate j(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -205.\nAnswer: 43\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.325 and 752.8.\nAnswer: 244.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6301 + 14874 = 204*n + 2407. Solve -15*q = -152 + n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 7:30 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128528, -128526, -128524, -128522, -128520?\nAnswer: -128518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44803320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.041*223616\nAnswer: 9168.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*u**2 - 108*u**2 - u + 51*u**2)*(-u + 5*u - u).\nAnswer: 6*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + -2 + sqrt(11)) + 1.\nAnswer: -5*sqrt(11) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 greater than or equal to 268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2, -390, -6, 0.4 in increasing order.\nAnswer: -390, -6, -0.3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 153*f - 38. What are the prime factors of h(53)?\nAnswer: 2, 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748146 + 748146 - 9*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -194*g + 1\/2*g**4 + 0*g**2 + 192 + 0*g**3 + 43\/5*g**5. What is the derivative of u(v) wrt v?\nAnswer: 172*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*q**4 + 301 with respect to q.\nAnswer: -204*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243103?\nAnswer: 7, 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31111233 - 3?\nAnswer: 31111230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3 - 236*k**2 + 231680*k + 26726400 = 0.\nAnswer: -160, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 41*g**4\/12 + g**3\/6 - g**2\/2 + g. Calculate the remainder when a(1) is divided by -1 + 0 + -1 + 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grfmmrmrffrmrgmgr. Give prob of picking 2 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 5*v + 6. Let j(p) = -p**2 + 5*p - 6. Let x(a) = 2*a + 4. Let q be x(-4). Let n(s) = q*j(s) - 3*i(s). Suppose -2*o + 10 = 2. What is n(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glll when four letters picked without replacement from llgl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 731 + 749. Find the third derivative of 7*d**2 + n*d**3 - 7*d**5 - 296*d**3 wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*l + l + 340, 0 = 3*c - 5*l - 188. Factor 15*r**2 + 71 - c + 2*r**3 + 3*r**3.\nAnswer: 5*r**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0228 to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (1*sqrt(637)*-3 + sqrt(637) - sqrt(637)) + 5 + -3)**2.\nAnswer: -84*sqrt(13) + 5732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 24. Let t be ((-21)\/(-9))\/(10\/30). Let d be v(t). Sort 5, d, -1 in decreasing order.\nAnswer: d, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11052*o + 187893. Give x(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*z**6 + 963*z**5 + 2*z**3 + z**2 + 84*z - 5 wrt z.\nAnswer: -480*z**3 + 57780*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 12*a - 7. Let f be r(-12). Let l = f - -13. Let h(x) = 0 + 2*x - 6 - 2. What is h(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 + 131.92. Let a = t - -0.78. Let d = a - 4. What is the second biggest value in 0.2, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29.46 less than or equal to 2.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 39*p**2. Let v(i) = 6545*i. What is v(j(d))?\nAnswer: 255255*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 - -2. Let v = 60 - 55. Let o = -5737\/5 - -1148. What is the closest to i in v, 0.04, o?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 486\/8 + (26\/208)\/((-2)\/12) and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 30. Is 15 a factor of z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 + 6*i + 1. Let r be t(-6). Calculate the common denominator of -83\/2 and -1 - 1*r\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/23 or -94.1271?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16766, 33532, 50302, 67076, 83854, 100636, 117422?\n\"Answer: 2*i**2 + 16760*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 561*a**5\/4 - 193*a**4 - a**3\/6 - 1843*a + 1. Find the third derivative of d(i) wrt i.\nAnswer: 16830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 231. Let b(c) = 48*c**2 - 94*c. Calculate b(h(v)).\nAnswer: 48*v**2 - 22270*v + 2583042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 11. Let p be (2\/x)\/(1\/2). What is the tens digit of p + (-1)\/((-2)\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -139*x**2 + x. Let v(d) be the first derivative of d**2 - 147. What is y(v(c))?\nAnswer: -556*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*2049.09\nAnswer: 6147.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zbbzbzzzzzbb?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -303845.\nAnswer: 3\/303845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 8:53 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855 - 593 = 39*n - 557 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -715958, -1431906, -2147854?\nAnswer: -2863802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385651.\nAnswer: 7, 37, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2378*i + 38 = -3*o - 2379*i, -i = -4*o - 46 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(-8 + 3 + 3)*(-12 + 0 - 5)*(-1 + 1 + 3*j) to the form s*j + d and give s.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i - 7*i - 7*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84e (base 15) in base 16?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256 (base 14) to base 8.\nAnswer: -724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*b + 244, -33 + 801 = 3*t + 3*b. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, 1 in ascending order.\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) - (-10)\/36. Suppose 0 = -4*l - 13 - 3, 2*l + 4 = 2*i. Let x be 3 - (-1 + 1 - i). Is x <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23665057 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/9 (c) -1456 (d) 2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**3 + f**2 + 2*f. Let q(z) = -z**3 + z. Give -2*h(y) + 10*q(y).\nAnswer: 2*y**3 - 2*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4, 2*n + 16 = 4*r - 0. Let p be ((-3)\/(-2))\/((-17)\/34). Let y be (-27)\/p*(-1)\/(-3). Solve y*s = -n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 + 7*f**2 + 10*f - 15. Calculate the remainder when 1173 is divided by o(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 42383 = -18613. List the prime factors of p.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(190)*-1 + sqrt(190))\/(sqrt(1440)*2 + sqrt(1440)).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 73. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*n = -0*n - 7260. What is the lowest common multiple of 250 and n?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(sqrt(1872)*2 + -1)**2 + 2*(5 + sqrt(208) + 0 + (sqrt(13) - (sqrt(13) + 1)) + sqrt(13) + -5)**2.\nAnswer: -89216 + 556*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 1782645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 98470, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 plus -169284.92?\nAnswer: -169382.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.71223 milliseconds to hours.\nAnswer: 0.000071031175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - h**4 + 11*h + 23 - h**2 - 3*h to c + p*h**4 + w*h**2 + b*h + k*h**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 9) + -55 - (187 + -208)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 1, q: 4, r: 1, z: 8}. What is prob of sequence ooz?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 5\/(-20)*-20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 - 327*z - 7492. Give d(-52).\nAnswer: -1304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303111320 - -11?\nAnswer: 303111331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 402199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*t**3 - 4985*t**2 - 30460*t + 19040.\nAnswer: -5*(t + 7)*(t + 136)*(7*t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 46 = -51 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140791?\nAnswer: 7, 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301*s = -298*s - 3*n - 42, -2*n + 42 = 12*s. Suppose 0 + 1\/2*z**3 - 1\/6*z**s - 1\/6*z**2 + 1\/6*z**4 - 1\/3*z = 0. Calculate z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -5, 24, -1\/9, 664, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 737.\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -130*u + 31. Let g(t) = -841*t + 186. Let n(s) = 2*g(s) - 13*q(s). Calculate n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by 44.\nAnswer: 93\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3701.\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -71300852.8 rounded to the nearest 100000?\nAnswer: -71300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 5 = -3*v, 4*t = -4*v - 656. Let m = t + 180. Calculate the remainder when 36 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-46128)\/(-5859))*((-9)\/12)\/3?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122506739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 8 + 10. Let b = 196 + c. What are the prime factors of b?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 114 = -3*p + 6*s, 3*p + 2*s - 112 = 0. What is the remainder when p is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -158983209 at least -158983214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + 2 + 4*a + 2*a + 2*a**2. What is x(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2722 is divided by 171?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 0. Let v be 1\/((-1)\/6*d). Let m(g) = g**3 - 5*g**2 - 7*g + 6. Let s be m(v). Solve s = -2*h + 4 - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2*z**5\/5 + 289*z**4 - 55294*z**3 - 167620*z**2 - 168200*z - 3407. Suppose t(k) = 0. What is k?\nAnswer: -1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 divided by 96.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 12:50 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 10. Determine g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 3*h**2 - h - 6. Let f(j) = j**2 - j**3 + 25*j - 17*j - 1 - 8*j. Determine a(y) - 3*f(y).\nAnswer: 2*y**3 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-28)*(-1645)\/564*18\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/7 - 7*-14. Let r = -67 + t. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 944464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -4\/5 (c) 2\/129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1484*t**2 - 5*t + 2. What are the prime factors of z(1)?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -384, -386, -388, -390, -392?\n\"Answer: -2*f - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -8.6?\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6084 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.06 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9*0.104\nAnswer: 0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -21. Let q = a + 0. What is the highest common divisor of 33 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, -8, 30 in increasing order.\nAnswer: -8, -5, 19, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 0)*(6 - 2 - 2) + 9 - 13 - 6)*(0*a + a - 3*a) as k + l*a and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 19*p - 6. Let a = 40 + -95. Let k be (-320)\/a - -3 - (-2)\/11. Let t be b(k). Solve t - 8 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.016?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157950 + 157950 + 16*q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/(-476) - 8\/(-28). Let d = 2.13 - 0.13. Let l = -0.7 - -0.6. Which is the nearest to s? (a) d (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/52 + (-5)\/(-4) + 0. Suppose -2*r - u + 2*u + n = 0, -2*u = -3*r + 2. Suppose 5*z - 2*i - 591 = -r*i, 5*z - 593 = i. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3*s - 45243 = -45271, -2 = 3*d - 13*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0838 less than -36?\nAnswer: -36.0838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 0.6\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 32*b - 25. Let u be h(-31). Calculate the remainder when (-5 + (0 - u\/6))*15 is divided by -11*(-5 - 2*-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*m = -55, -1196 = 4*t - 2*m - 1176 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -188 + 190. Suppose -n*h - 8 = -72. Calculate the remainder when 58 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -664 in 0.06, 0.01, 2, 2\/35?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q**2. Suppose 43*n - 38*n - 25 = 0. Suppose -11 = -n*t - 1. Let j(s) = -32*s + 17*s - 4*s**t + 15*s. Give j(x(a)).\nAnswer: -900*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -343 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 61, 204, 477, 922, 1581, 2496, 3709?\nAnswer: 5262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8332 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467303507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c**2 + c)*(-4*c**3 - 3*c**3 + c**3) + (-4*c**3 + 4*c**3 - 2*c**4)*(-4*c + 2*c - c).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/2 + -2)\/((-6)\/(-48)). Suppose -p = 2*i - 0*i - 1, l*i = -4*p + 8. Suppose c = -p*c + 1388. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/3 + 1860634*z\/3 + 620212 = 0?\nAnswer: -1, 930318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-5))\/1)\/(84\/(-210))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - d - 2 - 3*d. Let s be j(-5). Suppose -4*x + 0*x = s*t - 13, -x = -5*t + 37. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 347*h - 374*h + 81 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 + 94. Suppose -3*h + 16 = -2*j - 5, -3*j + 16 = 5*h. Which is the biggest value? (a) 1\/8 (b) j (c) 3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + (sqrt(931) + sqrt(931)*4)*4 - -1*((sqrt(931) - -3*4*sqrt(931)) + sqrt(931) + sqrt(931))) + 2)**2.\nAnswer: -980*sqrt(19) + 1140479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - 11*i**2 + 7*i - 1. Let v(u) = 6*u**3 + 16*u**2 - 10*u + 2. Calculate -7*c(p) - 5*v(p).\nAnswer: -2*p**3 - 3*p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/29))\/(r\/r**28))**(-38) assuming r is positive.\nAnswer: r**(-30894\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*80\/(-112).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - 2. Let a = -27 - j. What is the nearest to a in 3, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 601979 and 2737.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 - 12*z**2 - 15*z + 5. Give s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k - 9. Does 6 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {k: 1, o: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = 2*x - 0*x, 3*x = -3. Let j = t - 0. Suppose j = 4*d - 34 - 2. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1427672 divided by -2?\nAnswer: 713836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by -96504\nAnswer: 85\/96504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -57 + 13 + -4 + (0 - 3).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 1 + -1 - (-1916 + 1927).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 241, -3, -3\/5, -2\/5, 4, 470 in ascending order.\nAnswer: -3, -3\/5, -2\/5, 4, 241, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.73 + 35.27. Let g = 36.87 + -1.17. Let o = h - g. Which is the smallest value? (a) -3 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*h**5 - 2*h + 2*h + (4 + 2*h**2 - 4)*(-h**3 - h**3 + h**3) + h**5 + 6 - 6.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 35859 = -18580. Let a = b + -4259. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 4*j = -6. Let v = 4 + j. What is the remainder when v is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-5)*w)\/w)\/w*w)**(3\/2)*(w**(-1\/3))**19 assuming w is positive.\nAnswer: w**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 199*q**2 - 126*q. Let i be j(8). Suppose -54*w + 58*w - 5*r = i, 3*w - 8773 = -2*r. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -704, 1, 11 in descending order.\nAnswer: 11, 1, -704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -7 (c) 381 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -117. Let w be 2\/((-2)\/(-1)) - -2. Suppose 4*u = 2*m + 44, -3*u - w*m - 2*m + 46 = 0. Calculate the remainder when y is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25601 + -25593. Let s(d) = -20*d**3 + 8*d**2 + 10. Let f(q) = -7*q**3 + 3*q**2 + 3. Calculate l*f(x) - 3*s(x).\nAnswer: 4*x**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Suppose -16 = -a*x - 0*x. Calculate the highest common factor of 36 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j\/(j**(2\/15)\/j*j)*(j\/((j\/(j\/j**(-6)))\/j))\/(j\/(j**(-7)\/j)))**(5\/14) assuming j is positive.\nAnswer: j**(-46\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 36 = 9*y. Let i(h) = -20*h + 2. Let f be i(-2). What is the tens digit of y\/(-18) + 1841\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 + 31 = -3*k + q, -5*k + 3*q + 7 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1625 and 910.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.075\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -181, -172, -151, -112, -49, 44?\n\"Answer: x**3 + 2*x - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 923237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 - -8.7. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -283 + 223. Is 6 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/3340 and 27\/58.\nAnswer: 96860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3332 and 0.16.\nAnswer: 533.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -844a + -21?\nAnswer: -8470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 729\/1045 - -1\/418. What is the closest to 2\/3 in n, -3, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 36 = -2*f, -3*f = -2*b + 10 + 19. Let w = f + 22. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000227831598 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 2\/5 (c) -0.13911\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 70 = 3*k, 5*b + 3*k - 234 - 20 = 0. Solve 35*x + 361 = b for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1512 + -178417\/118. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100200 = -1162*v - 842*v for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 8*p + 2. Suppose -4*x + 18 = -3*y, 0*y - 4*x = 3*y + 18. What is the tens digit of d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/12 - (-1)\/6. Suppose -6*q + 5*q = v. Let l be (3\/(-2))\/(5\/(-10)). Solve -l*j = -q*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 (base 7) in base 4?\nAnswer: 10030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 5) to base 16\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -152184 divided by 68?\nAnswer: -2238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r = -9*r + 8*r + 265 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.74 - 1.8. Let r = -2.06 - k. Put 1.2, -0.2, r in descending order.\nAnswer: 1.2, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + ((-2)\/(-1))\/1. Let x = g - 3\/2. Let l = 1 - -2. What is the nearest to l in x, -1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12 - 318\/24)\/((-1)\/4). Solve -5*x + 5 + 15 = 3*f, 26 = x + c*f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -608 - -585. Let x(n) = -n**3 - 22*n**2 + 13*n - 25. Is 21 a factor of x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 47 = 33 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o + 5. Let g(x) = x - 1. Let p be g(1). Let l(d) = 6*d + 0*d + d + p - 4. Give -5*i(t) - 6*l(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11002 + -7853. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3514 + -0.9514. Let u be ((-23)\/1)\/((-2)\/2). Put 5, u, s, -0.1 in descending order.\nAnswer: u, 5, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171.02 - 171. What is the second biggest value in 0.5, 0.3, v, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19 + 1 - 7 - 51*q - 1 wrt q?\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/39)*w)**24\/(w*w\/(w**(-20)*w)*(w\/(w\/(w\/w**(2\/17))))\/w) assuming w is positive.\nAnswer: w**(961\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**2*z**2 + 308*r**2 + 322*r*z**2 wrt r.\nAnswer: -2*z**2 + 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1442*v + 69. What is the units digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.5 - 3. Let o = k - 0.4. What is the closest to -2\/17 in -0.5, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(112)\/sqrt(4) - (3 + (sqrt(7) - 2*sqrt(7)))))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -2070 and -2458 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 + 11 = 0. Let p = -3 + g. Let -j - 2*j**3 + 6*j - p*j = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t + 13*t - 8399 - t**2 + 8398 - t**3 to d*t + b + k*t**2 + n*t**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -2405350?\nAnswer: 2405343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1232*q + 673. Is f(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c + 52*c - 27*c - 595 + 595.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 15060?\nAnswer: 6024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*w - 3, -2*w - 3 = n + 2. Factor 8*c**3 + 5*c**n + c - 7*c**2 - 5*c**3 - 5*c**4 + 3*c**3.\nAnswer: -c*(c - 1)**2*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*16\/(-12)*(-9)\/12. Factor -1\/5*f**x - 2\/5*f**3 + 1\/5 + 3\/5*f - 3\/5*f**4 + 2\/5*f**2.\nAnswer: -(f - 1)*(f + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 56 = 5*c + 5*s, -3*s - 4 = -2*c. Suppose j - c = -3*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 3*u**4 + u**3\/6 - u**2\/2 - 2*u. Does 12 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.9. Let o = 0.1 + -1.1. Let r be 6\/(-5) + (-752)\/(-235). Sort a, -2\/9, r, o in decreasing order.\nAnswer: r, a, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*t - 18, -7*t = -5*t + 2*l + 6. Let g(w) = -w**3 + 6*w**2 + 21*w - 9. Is 27 a factor of g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**5 + 5 - 5 + (-3*n**5 + 2*n**5 - n**5)*(-2 + 0 - 2) + (-2 + 0 + 1)*(n**5 + 5*n**5 - 4*n**5) - n**5 + 0*n**5 - n**5 - n**5 + 0 + 0.\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.3 (b) -0.4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**3\/5 - 28*s**2\/5 + 112*s\/5 - 16 = 0.\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2817316.367 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 1144\/65 - -21.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047154 to six dps.\nAnswer: 0.000472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 25*n + 69 = 208, -3*n - 27 = -3*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (-3 - (-5 - -7)) - 4) + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16929?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*4*(-4)\/8*2. Let l be -10*3*c\/20. Solve -5*z = -2*b - 5, -l + 3 = -3*z - 4*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4*r + 340*i**4 + 2*i**2 + 2*i*r - 476*i - 4 wrt i.\nAnswer: -36*i**2*r + 4080*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.2 and -149.\nAnswer: 3009.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 17*b + 18)*(2 - 5 + 1)*(-5 + 1 + 3).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0*r**3 + 0*r**4 + 0*r + 0 - r**2 - 1\/60*r**6 + 1\/20*r**5. Let v = -48 + 44. Let d(m) = -m**2. Give v*d(n) - x(n).\nAnswer: 2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66152718263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -691\/4, 0.1, 1761.\nAnswer: -691\/4, 0.1, 1761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 10. Let w = d + 15. Which is the nearest to -1\/4? (a) 4 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -38*k + 20 - 3\/2*k**2. Let q be p(-12). Is q at most as big as -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2415258 and 28064?\nAnswer: 38644128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 - -303.1. Round g to the nearest integer.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6069 (b) 2 (c) 0.1 (d) -8\/11 (e) -2 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geengqdqzqeedqeneee. Give prob of picking 2 q.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6030 + 4166675.6\nAnswer: 4160645.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1357 and 1356 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 3\/17 (c) 1\/82 (d) -0.2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.9 > 0.103852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*r + 10*r + 46*r - 418*r.\nAnswer: -572*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 724 = -7*s + t, -4*s = -3*t - 2893. Let a = -177 + s. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290375 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - l**2)*(4 + 0 - 2) + 4*l**2 - 3*l**2 + 0*l**2 + 2 - 2 + 2*l**2 + 2*l**2 - 2*l + 2*l)*(2*l**3 + 3 - 3).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 4.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202809\/20 - -10143. Find the common denominator of -97\/46 and m.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159306273 and 89649?\nAnswer: 159306273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-65 + 171 + -61).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 5*n**2 + 2. Let x(g) = -g**3 + 9*g**2 - 8*g - 5. Let z be x(8). Let h be y(z). Suppose -3*u + 7 = -h. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50\/7, 1, -0.3 in descending order.\nAnswer: 50\/7, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*q**2*s - 201*m*q**2 - 3*q**2 - 142*q*s**3 wrt s.\nAnswer: -m*q**2 - 426*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-115*y - 39*y - 2*y)*(2*y**3 - 5*y**3 + 2*y**3) + (3*y**3 - 5*y**3 + 0*y**3)*(1 + 6*y - 1).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1016*i**2. Let o(a) = -2*a**2 + 50. What is o(l(q))?\nAnswer: -2064512*q**4 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3561945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let p be 1\/z*(1 + -1). Let l be 3\/(-5)*(-2)\/(-6). Is p less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(1 + (-3)\/4). Let o be ((-2)\/(-4))\/(1\/v). Let x(d) = 2*d**2 - 3*d + 1. Let q be x(3). Calculate the highest common divisor of q and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70845638 is divided by 513374.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Suppose 6 + 0 = 3*a. Let w(p) = -a - 2 + p + 1 + 5*p. What is w(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3372.42 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77 times -3502799?\nAnswer: 2697155.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516 and 111660594.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 9*w**3 + 136*w**2 - 126*w**2 + 6*w**3.\nAnswer: -3*w**3 + 10*w**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18196 + -16254. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 198*d**3 + 180*d**3 - d**2.\nAnswer: -18*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2887?\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + (-180)\/24)*3\/12.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -1\/4, -0.5.\nAnswer: -0.5, -1\/4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 5*p**2 - 8*p - 8. Let r be o(-3). What is the greatest common factor of 325 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-26) + 335271699\/2847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in 0.048, 3, -0.9, -3\/7?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -17*l + 9*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 12. Find the second derivative of l*x - 23*x + 14*x**4 + 1 - 1 wrt x.\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 329301 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380 + 6*j - 177 - 4*j + 7*j**3 - j.\nAnswer: 7*j**3 + j + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 3\/144233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.393549ml to litres.\nAnswer: 0.001393549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 349128\/11 - 31674. Let k = 5350\/77 - g. Let q = 26\/23 + -171\/253. What is the common denominator of k and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -129. Solve -2*f + f = 5*t + 17, t = -f - s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f**2. Let n be x(1). Suppose 4*q + n*s - 2*s = 46, -5*s + 67 = 4*q. Let t = 22 - q. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**5\/5 + 1603*n**4\/4 + 5069*n - 7397. Differentiate a(b) with respect to b.\nAnswer: -4*b**3 + 4809*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -284022823202281?\nAnswer: 284022823202280.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20010102011 (base 3) to base 7.\nAnswer: -1011364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1225, -1755, -1595, -745, 795, 3025?\nAnswer: 5945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38251 = -4*s + l, -3*s + 17911 = 2*l - 10780. What is the thousands digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:14 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4950 and 5717250?\nAnswer: 5717250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164608 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54.033 + 54. Let s = -6109 + 6104.967. Let k = s - c. What is the biggest value in k, 0.4, 0.28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 8*z**2 - 7*z + 7. Suppose 5*f - 185 = 10*f. Let q = f - -42. Suppose q*l - 23 = -y - 6, y = l + 5. What is r(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -43*w + 3\/4*w**2 + 57\/4 = 0?\nAnswer: 1\/3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 9*i - 14. Let b be m(10). Let r = 11 - b. Suppose 86 = n + n. What is the remainder when n is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 10 - 1)*(-5 + 11 - 3)*(-1 + 3*n + 1)*(-2*n + 0 + 0) in the form i*n**2 + l + u*n and give i.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s\/(s*s**(2\/15)*s)))*s**(-2)*(s*s*(s*s**3\/s)\/s*s*s)\/s**(-4\/7))**34 assuming s is positive.\nAnswer: s**(8704\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 8*h**2 - 10*h - 8. Let f be v(-9). Calculate the common denominator of 13\/20 and (-745)\/6*f\/(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45851 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/4, -1\/5, 0.03, 2 in ascending order.\nAnswer: -9\/4, -1\/5, 0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950690 is divided by 475340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-8)\/42*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + (sqrt(704) + -1)*2 - sqrt(704)) + -2 + 5 + -5)**2.\nAnswer: -128*sqrt(11) + 2832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(48)\/sqrt(4)*2).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*k**2 - k - 2*k - 18*k**2 + 10*k**2 + k as o*k + h*k**2 + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 - 66*p + 120.\nAnswer: 3*(p - 20)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896*q - 892*q + 116 = 0 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 3*d**2 - 12*d + 1. Is 12 a factor of k(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1.02, 4\/6945?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/23, -4, -223, -1\/4, 14 in increasing order.\nAnswer: -223, -4, -1\/4, -1\/23, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9*(4 - 1). Let s = i + 3. Solve -5*d + s*d = 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.8 - -19.97. Which is bigger: n or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/615300 and -32\/7325.\nAnswer: 615300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**3 - 7*s**2 + 12*s - 9. Determine q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 0.17863.\nAnswer: -0.02137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55120 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 25*d + 20 = -24*d, o - 2*d = -5. Let n(x) = 475 + 8*x**2 + x**3 - 476 - o*x**2 - x. Determine n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(1 + -1). Suppose 2*x + 3*x = r. Suppose x = 6*b - 2*b - 20. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12934439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6336160?\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -45.88. Let a = q + 0.12. What is the closest to a in 1\/2, -1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4846.0005704 - -4846. What is g rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**3 - 4*u**2 - 6*u + 13. Let m(s) = -6*s**3 - 5*s**2 - 7*s + 14. Suppose 1052*x - 144 = 1028*x. Give x*m(p) - 7*w(p).\nAnswer: -p**3 - 2*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/4*618\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:06 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + 84 + (-501556)\/3058?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 970, 3290, 7806, 15250, 26354, 41850?\nAnswer: 62470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 - w + 2. Let g be f(3). Suppose 0 = s - 4*d - 13, -s = 3*s + 3*d - g. What is the remainder when 50 is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 616075748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let l(w) = -w**2 + 5583 + 2*w**2 - 2*w - 5585. Let p(s) = -2*s**2 + 5*s + 5. Suppose 2*o + 8 = -2. Let a(u) = o*l(u) - 2*p(u). Determine a(f(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 0*r**2 - 1\/2*r**3 + 0 - r. Let n(b) = 3*b**2. Calculate i(n(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -9. Let m(q) = 526*q**2 + 2630*q - 5. Let d be m(-5). Put r, 8, d in descending order.\nAnswer: 8, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3, 0.27, 4, 3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, -3\/8, 1, 1\/9, 0.070527?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 855160 and 5.\nAnswer: 855160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2508, 2510, 2512, 2514, 2516, 2518?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -342, -403?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 54 - 54)*(0*t**4 + 0*t**4 - 2*t**4).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159089392 by 5681764.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24906598 divided by 12453299.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 33, 79, 155, 267, 421, 623, 879?\n\"Answer: i**3 + 6*i**2 - 3*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2728*s - 16839*s = 1044214 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 19 - 15)*(3*m**5 + 5*m**5 - 4*m**5) + (-4*m**4 - 3*m**4 + 5*m**4)*(-m + 1 - 1).\nAnswer: 50*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:51 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b3 (base 15) to base 10.\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 20 = -4*y. Suppose -5*r - 3 - 7 = 0, y*m - 5*r - 1546 = 0. What are the prime factors of m\/15 - 4\/(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**6\/40 - 2*g**5\/15 + g**4\/6 + 13*g**2\/2 + 28. Let o(s) be the second derivative of i(s). Factor o(d).\nAnswer: d*(d - 2)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 12)*11\/(-132)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -29\/2 (b) -3\/7 (c) -3018 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2012 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 19*v + 1046. Let t be n(14). Suppose -a - 149 = -5*m + 256, 0 = 4*a - 20. What is the highest common divisor of t and m?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -66. Suppose 37*r = 18*r. Let j be (26\/f)\/(r - -1). Which is smaller: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 232*j - 1155. Calculate x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 654 + 646 = -3*y, -2*y = 3*i - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -67*a + 193*a - 63*a - 65*a. Let s(f) = -18*f**2 - 1. What is z(s(l))?\nAnswer: 36*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72887505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184074?\nAnswer: 2, 3, 11, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 8. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165849202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.83 + -317.83. Let m = -209.2 - s. Let j = 105 - m. Is j less than -9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:15 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/((-1015)\/(-30)) + (2 - 22\/14). Put 4, -150, a in decreasing order.\nAnswer: 4, a, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 139343, 1114316, 3760673, 8914106, 17410307, 30084968, 47773781, 71312438?\n\"Answer: 139282*n**3 - n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 2*v = -4*c - 14, -c - 8 = -4*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 9525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:15 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4523 from 0.3.\nAnswer: -0.1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3541 = -2*z - 312, 2*d - z = 2141. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/32*(-88)\/726\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z + 12. Suppose 2*k = z*k - 8. What is the remainder when 2 is divided by 1\/k + (-14)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/10*425\/(-4165).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 995*s - 1015*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3920332113.14 from -2.\nAnswer: -3920332115.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 48. Let k(l) = 8*l + 4. Let i(x) = -9*x - 3. Let g(a) = -3*i(a) - 2*k(a). What is the remainder when b is divided by g(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 3, j: 9, a: 4, c: 1}. Give prob of sequence ac.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 44 - 44 - 32*l**2 + 35*l**2. Let k(x) = -21*x. Calculate f(k(j)).\nAnswer: 1323*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(120 - 45 - 17)*(-2 + 1 - 1)*(s - 2 + 2)*(0 + 3 - 5).\nAnswer: -464*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -235, -3021, -138 in descending order.\nAnswer: -138, -235, -3021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 2. Let s be f(1). Let h be (-12)\/(-9) - s\/(-3). What is the highest common divisor of 4 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -13, -20?\n\"Answer: -7*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -11*a**2 - 2*a + 2. Let b = 4512 - 4517. Let s(r) = -12*r**2 - 3*r + 2. Give b*s(q) + 6*g(q).\nAnswer: -6*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17927 and -3?\nAnswer: 53781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b4 - -40a?\nAnswer: 6c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1248.4 - -1250. Which is the second smallest value? (a) r (b) -10 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1146 and 52\/3.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 - 5*o - 24 = 0. What is o?\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 2. Let j be n(3). Let r be j + -3*(-112)\/12. Let i = r + -22. Solve i*k - 3 = 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/6 - 1\/(-2). Suppose 0 = 5*m + i - 1, 0*m + 3*i = -4*m - y. Calculate the common denominator of -1*m + (-294)\/54 and 43\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + -32. Let p be 2 + 4\/3*(-39)\/g. Calculate the highest common factor of p and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.179 + -178301.3846.\nAnswer: -178299.2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r - 0. Let d be ((1 - 2) + 6)*r. Solve j - 2*s - 5 = 0, 0*j + d = 5*j + 2*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*5\/546)\/((760\/64)\/19)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 13*n**2. Let f(c) = -9*c. Determine j(f(u)).\nAnswer: 1053*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/60 + 11*h**4\/24 + 695*h**3\/3 + 2*h**2 + 4016. Differentiate m(s) with respect to s.\nAnswer: 6*s**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -18 + 17 + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (208\/140 - 4800\/2100)\/((-756)\/(-15) + 2)?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 5*c. Let z be a(4). Let m(o) = o**2 + 21*o - 34. Let l be m(-22). Let k = z - l. Solve k*w = 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/396 and -17\/65685862.\nAnswer: 1182345516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125051*n**5 - 3*n**4 - 6*n**3 + 114*n**2 - 5277?\nAnswer: 7503060*n**2 - 72*n - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(36) - sqrt(17)) + -5)**2.\nAnswer: 20*sqrt(17)\/3 + 293\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 48776 = -4*q + 48984, -2*u - 336 = -6*q for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311002*n**3 + 3*n**2 - 49*n - 22760?\nAnswer: -1866012*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/4 + 2*r**3 - r**2\/2 - r + 3. Let v be n(-6). Which is the third biggest value? (a) v (b) -1\/6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9051313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 180.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 8. Let j = 14 + -9. Let t(a) = 2*a + 3*a - 2*a - 7 + 2. Calculate j*i(o) + 8*t(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 261949181 to the power of 1\/4, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26085.3 - 26063. Which is the closest to 0? (a) f (b) -0.3 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184026 by -61342.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.199 and 1.\nAnswer: 0.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 21\/(-35) + (-69)\/(-15). Let r = q + 8. Solve -3*b = -r + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 4. Suppose -j*q + 12 = -4. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000868833192 rounded to 7 decimal places?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/58 + 181\/406. What is the closest to -1\/10 in 0.4, q, -4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.1 + -3.3. Let k be 1\/(-2)*0 + 2. Is k > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 133.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120113618 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8099*v**4 + 10*v**2 + 2*v - 6?\nAnswer: -194376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:42 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.21*0.0366.\nAnswer: 0.666486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 8*t + 14. What is l(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 4, 3, -5 in increasing order.\nAnswer: -10, -5, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let t be 14 + (-1 + l)*-1. Let h be 42*(-1 + (0 - -2)). What is the greatest common factor of t and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/15)\/(-3)*5. Solve -4 = -b - h, -a = b - 4*h + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.06 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -0.2 (c) 11096 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3\/4 (c) 68 (d) 10 (e) 4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12386, -3606, -4 in descending order.\nAnswer: -4, -5, -3606, -12386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -14*m**3 - 9*m**2 - 4*m - 2. What is o(-3)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + q**2 - q**2 + (3 + 0*q + q - 2)*(-1662*q - 981*q + 480*q - 72*q).\nAnswer: -2238*q**2 - 2235*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -39*r + 276. Let i be x(6). Let n(v) = -5*v + 214. Calculate the lowest common multiple of 32 and n(i).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 21 (c) 49 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - -17016?\nAnswer: 1703b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.6*5849544\nAnswer: 21058358.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16760342 is divided by 236061.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 534472594 and 14?\nAnswer: 3741308158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q - 185. Let y = q + -129. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*g - 15 = -2*b, 3*g = 9. Let m = -9 - b. Suppose -6 = -4*s + 2. Solve f + s = -m*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -17 + 14 - 34\/(-10). Let f = -6 - -11. Which is the third biggest value? (a) i (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/8 of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -560 + 512. Solve -o*v = 8, -h - 18 = -0*h + 4*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 9*n**3 + 0 - 25.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + -1 - 2 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30*(-3 + 20\/6). Let s be ((-12)\/5)\/(84\/(-10) + 8). What is the second derivative of -7*h - s*h + u*h**2 - 13*h**2 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**21*v**3\/v)**(-2) assuming v is positive.\nAnswer: v**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9966948.\nAnswer: 2, 3, 830579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 21. Let n(g) be the second derivative of -g**4\/24 + g**3\/3 + g**2\/2 + g. Let t(u) be the first derivative of n(u). Calculate t(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 6c2?\nAnswer: -6c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-160)\/720 + (-2738)\/(-9) is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4310 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 - 1626*j + 15759. What is k(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22513 by -900.\nAnswer: 22513\/900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7861735 and 595?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 0)*(-2)\/(-4). Suppose 44 = -4*o - 4*q, m*q - 26 = o + 4*q. Is 425\/10 + o\/(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1958 + -1959. Which is the nearest to 2? (a) 0.013 (b) -0.5 (c) 1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c + 470*c + 1043 + 3*c**2 + 1040 - 2081 + 163*c.\nAnswer: 3*c**2 + 604*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -3 (b) -2\/13 (c) -21\/253 (d) 2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:53 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32c31 (base 13) to base 7.\nAnswer: -532434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -s + 22*s. Suppose 3*n - 8 - 7 = 0. Calculate the remainder when n is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - n + 1, 0 = -7*v + 11*n - 10*n - 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4 = -k, -5*o + 6*k = -k - 12 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:56 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*z + 23*z + 14*z)*(-24 - 16 - 19) in the form t*z + q and give t.\nAnswer: -1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -4*f + 70. Suppose n = -o - 2*o + 48, f = 3*o + 2*n. Solve 7 = -5*y + 4*w, w + o = -y - 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) -2 (b) 3 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121988687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b - 12. Let d be c(-4). Suppose 5*n + u - d = 0, -5*n = -u - 2*u - 24. What is the highest common divisor of 9 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3648*k**4 + 8345*k**2.\nAnswer: -87552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2*i, -3 + 1 = -i. Let z be u*(-3 + 0) + 3. List the prime factors of z + -2 + (-13)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*x = 288, 0 = -0*p - 5*p + x + 324. Solve 33*s - p*s = -165 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p. Let w = -50 + 54. Let j(r) = -1 - 3 - w*r**2 + 4. Calculate d(j(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Let t(f) = 3*f - 4. Let z be t(i). Let r(j) = -5*j - 8. Let o(l) = 2*l + 3. Let w(m) = 11*o(m) + 4*r(m). What is w(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(-2*j**2 + 2*j**2 + 3*j**3) + (-172 + 322*j + 172)*(-2*j**2 + 3*j**2 - 3*j**2))*(3 - 2 - 2).\nAnswer: 647*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 548266 or 7127454\/13?\nAnswer: 7127454\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*d = -275*d. Solve d = 4*u - 26 + 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-35))\/((-288)\/270)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + (6 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = 3. Let g = -7 + o. Suppose 2*z + c + g*c - 2 = 0, -3*z + 26 = -4*c. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/65*(-2)\/(-1))\/((-56)\/(-20))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1640 and 17180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocoomomomm. What is prob of picking 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.4322.\nAnswer: 0.2161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*t + 80, -4 - 4 = -2*w. Let p = t - 18. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-2 + -5 + -1). Let d = 45\/7 - i. What is the closest to 2\/9 in -1\/9, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 p when three letters picked without replacement from fgzpnhzfg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*d - 5*v, 5*d = -v + 6*v. Let u be (-4)\/((-156)\/60 - 6\/(-10)). Put u, d, -4 in descending order.\nAnswer: d, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2 + 5*g**2 + g**3 - 3 + g**2 + 0*g**2 + g. Let c = 1 + -7. Give r(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) -170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, u: 3}. Give prob of sequence uu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 9*o**2 + 11*o + 5. Let f(m) = -4*m - 6. Let x be f(-4). Let a be c(x). What is the units digit of (-7 - -3)*a\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 - 253*r - 1595. Give v(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 4 + 0\/8)*1. Solve 4*m - 3 + 9 = -2*x, -g*m = -3*x - 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -41 (c) 2\/7 (d) 4\/9 (e) -0.3 (f) 88 (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. What is the third derivative of 0*l**g - l**4 - 3*l**2 - 9 + 9 wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8620 is divided by 4307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -465855, -931689, -1397523?\nAnswer: -1863357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-323)\/5814)\/(-2 - (-6 - -2))\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 7*t = -56. Put 0, t, -70 in decreasing order.\nAnswer: 0, t, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -186\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:59 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162545 is divided by 161289?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**3 - 3 + 4 + 5*w**3 - 6*w + 4*w as r + z*w**2 + y*w**3 + s*w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 17 + t**2 + 12 - 2*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 - 26*(-3)\/6 and 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.34810015 + 0.2?\nAnswer: 124.54810015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/24 and 77\/87?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181*v**4 - 18*v**2 wrt v?\nAnswer: 4344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 23*z**2 - 9*z + 16. Let g be o(11). Solve 4*q - 18 = -g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -2)*6 - (sqrt(396)*2 + 3))**2 + -4 + -5.\nAnswer: -720*sqrt(11) + 6552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*i + 70, 12*i = -16*d + 11*i - 164 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from {p: 2, t: 8, w: 2, o: 5}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12 - (1 + (-26)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 5*f**2 + 5*f + 11. Calculate z(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4038564305607 - 0.5.\nAnswer: 4038564305606.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-nine quarters of a century?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-8)\/(-20))\/(1*2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 1. Let q = 90 - 94. Let c be p(q). Suppose -3*f = -3*y - 120, y + 85 = -0*f + 2*f. Calculate the greatest common factor of f and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 905, -2, 2 in decreasing order.\nAnswer: 905, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/25218 and 7\/2.\nAnswer: 25218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-248)\/(-155))\/((-4)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 180*m**2 + 17*m - 73. Let y(b) = 89*b**2 + 9*b - 37. Let x(i) = 4*g(i) - 7*y(i). Is x(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/(-11661)*(-13)\/(-4)*-12?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.9 and -3.11.\nAnswer: -14.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3598.03431 to one dp.\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 43\/157392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/8438 and -97\/22.\nAnswer: 92818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13803 and 7383?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 10*o**2 - 3*o. Let j = 30 + -21. Suppose 0 = -4*l - 49 + j. Is f(l) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 26.4 (b) 1\/11 (c) -1\/3 (d) -0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1600 + 1636. Let r = 0.2 - 0.4. Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310 - 298 + 527*m + 608 - 2504*m.\nAnswer: -1977*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.809 - -0.009. Let p = o - 0.2. Let s = 0.9 + -1. Is s greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1609*s**5 + s**4 - 3177*s**2 + 58649*s + 13?\nAnswer: 32180*s**3 + 12*s**2 - 6354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 5*j - 206. Give v(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40058 = -2914*v + 156618 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14\/(-3) - 13734\/(-189) and 52.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**2 + 1 + 9*f**2 - 2 + (-2 - f + 2)*(0*f + 3*f - 4*f) - 3*f**2 - f**2 + 0*f**2.\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -8. Let w be 1\/3 + 1\/n. Let q = 4 + -8. Which is the smallest value? (a) q (b) w (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrccwvswcsrcrr. Give prob of picking 1 s and 2 c.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766596538 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r - 34. Determine u(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 21, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 148*c**2 + c + 1. Let r be k(-1). Suppose -s = 4*g + r, 6*s - 4*s = 4*g + 160. Let z = 83 + g. What is the highest common factor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 15*d = -8283. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -66*x**2 - 1746*x + 65. Give w(-27).\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753669.\nAnswer: 17, 43, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-166763)\/1474 + 113)\/((-6)\/110).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 11:17 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vywa when four letters picked without replacement from {v: 4, a: 8, y: 5, i: 1, w: 1}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 246648876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6422 = -11*x - 11684. Which is smaller: -1645 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or 0.16?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g + 1)*(19 + 4*g + 0*g - 2*g).\nAnswer: 2*g**2 + 19*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 66*f**3 + 336*f**2 - 64*f - 447. Determine o(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*i - i + 0*i)*(-i - 2 + 2) - i**2 + 0*i**2 - i**2)*(-3*i + 3*i + i**2) to j*i**4 + t*i**3 + k*i**2 + z + b*i and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -6*s + 76, 0 = -4*y + 3*s + 7396 - 7460 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12504 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*(sqrt(4131)\/sqrt(3) + sqrt(17))**2.\nAnswer: -1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -87 (b) 2\/17 (c) -229 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 - -7 - (10 - 6) - -7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**3 - 2*a**2 + 2 - 35*a**3 + 13 + 39*a - 13 + 17*a**3 to the form d + f*a**3 + m*a + x*a**2 and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 68, 140, 256, 422?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*-6*(-1)\/7. Suppose -4*u = y - w, -4*u + 5*y = y + 4. Which is the third smallest value? (a) u (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 140 - 104 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m - 217*m - 90*m - 7140 = 0 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3. Let v(p) = 6*p**3 + p**2 + 4*p - 5. Let s be v(1). Let x be (0 - s\/(-9))*6\/(-4). Let o(k) = k. What is x*m(t) - o(t)?\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = 23. Let r(c) = 8*c - 37. Let w be r(x). Solve -2*f - 5*y = w + 2, 4*y + 22 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.2. Let p = -3.91 + 1.91. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y. Let m(w) = 29 - 16 + 21 - 23*w + 21. Determine s(m(p)).\nAnswer: 23*p - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -411, -716, -1039, -1368, -1691, -1996?\n\"Answer: 2*r**3 - 21*r**2 - 256*r - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12922 is divided by 2583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2864884 divided by -8?\nAnswer: 716221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*z - j, -309*z - 4*j = -10123 + 11034 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 5*u + 15 = 0, 4*l - 5*u + 8 - 21 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, 1\/4, 0.37, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13707604?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllaa. Give prob of sequence alll.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -559c0 (base 13) in base 6?\nAnswer: -3155431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 5:15 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 equal to -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6273703780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*w**2)*(5*w**3 - 2*w**3 + 0*w**3) - 2*w**5 + 2*w - 2*w + (3*w**2 - 3*w**2 + 2*w**3)*(7 - 3 - 2)*(w**2 - 1 + 1).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/36 + u**3\/6 + u**2\/3 - 8*u. Determine y so that i(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 438 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 5*t**2 + 2*t - 6. Let w = -95 + 43. Let k = -37 - w. Calculate the remainder when s(6) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -892*q + q**2 + 1773*q - 881*q. Let j(i) = 8*i - 1. Let n be j(1). Let a(w) = -5*w - 10*w + 6*w - n*w. Calculate r(a(s)).\nAnswer: 256*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6194604 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1035811024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 + v**2 - v**2)*(-4 + 3*v + 4)*(-1 - 3 - 21) + (-v - v + 3*v)*(-v**2 - 3*v**2 + 3*v**2) in the form m*v + i*v**2 + c + q*v**3 and give q.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 10*t - 3059. Give h(-60).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6722034 is divided by 1668.\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:59 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:10 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45, -326, -1089, -2574, -5021, -8670, -13761, -20534?\n\"Answer: -40*f**3 - f**2 + 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -77. Let x(c) = 8*c**3 - 2*c + 3. What is the remainder when x(2) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 205638290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -828.5250256.\nAnswer: -834.5250256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(637) - (sqrt(637)*-2)**2) + 3)*1.\nAnswer: -21*sqrt(13) + 7635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 13*y**2 - 15*y - 13. Give l(12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -392*i**4*j + 12*i**4 - 42*i*j + 6*i - 4*j + 1 wrt i.\nAnswer: -4704*i**2*j + 144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9043114 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from ekekeeekeeeeee?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66887165*y**4 + 43113822*y + 2 wrt y?\nAnswer: 802645980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(288))\/sqrt(9) - (4*sqrt(288) + sqrt(288) + 4)**2.\nAnswer: -7216 - 476*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 1 + 4*x**2 + 1.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322036.\nAnswer: 2, 11, 13, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 1 - 2*n - 3*n + 0. Let x(b) = 14*b**3 - 4 + 11 + 0*b + 6*b. Let i(u) = 6*r(u) + x(u). Differentiate i(w) with respect to w.\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + h - s - 17, -2*h = 2*s + 14. What is the closest to 1\/3 in h, -3\/2, -0.012?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.013 - 0.387. Let n = -260 - -261.97. Let x = n + 0.03. Put x, d, -2 in decreasing order.\nAnswer: x, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -757 + 3?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181018, -362029, -543040, -724051?\nAnswer: -905062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + -2.2. Let x = -15 + 13.8. Let k = z + x. What is the nearest to k in -1\/2, 5, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2151 (base 15) to base 13.\nAnswer: -3295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.1, 3, 10.4 in decreasing order.\nAnswer: 10.4, 3, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 2*l**2 - 2. Let u be n(3). Suppose u = 5*b - 13. Sort b, 5, 1 in decreasing order.\nAnswer: 5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -3396549.\nAnswer: 1018964.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200525 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r + 6 = 0. Let m(v) = -4*v - 3 + 2*v**r - v**3 + 2*v**3 + 0*v. Calculate m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 69*q - 71*q + 3*x, -q - 3*x = -29. Is 2\/4 + 236784\/q + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -10?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*g + 3 = -0, 2*i - 2 = -4*g. Let f be (-1 - i\/(-1))*1. Suppose f = d + d - 6. What is the greatest common divisor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -230, -1985, -6816, -16283, -31946, -55365, -88100?\n\"Answer: -260*m**3 + 22*m**2 - m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -8) + -40 + 8 - (7 + -39).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + b. Let n be u(-2). Let m = 34\/345 - 4\/345. Sort n, 1, m in descending order.\nAnswer: n, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 137 and 0.1373.\nAnswer: 18.8101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18480254494869 take away 0?\nAnswer: -18480254494869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32150.8 meters in millimeters?\nAnswer: 32150800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnttnntntnnnnnttnn?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.065 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 1\/1344*o**8 + 7\/24*o**6 + 11\/420*o**7 - 147*o**2 + 0*o**4 + 1 + 0*o + 0*o**3 + 5\/6*o**5. Factor w(m).\nAnswer: m**2*(m + 2)*(m + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2414309 to the power of 1\/2, to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2 + 26124*u + 26120 = 0. What is u?\nAnswer: -6530, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/5350 and -51\/11770.\nAnswer: 58850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 14 + 18. Let m(k) = 216*k - 406. Let l(c) = 43*c - 81. Let b(t) = n*m(t) + 11*l(t). Find the first derivative of b(x) wrt x.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 10*y - 1. Let b be r(9). Let o(m) = m**2 - 7*m + 6. Let n be o(b). Let g be ((-4)\/n)\/((-36)\/21). Sort -1\/7, 0.1, g in ascending order.\nAnswer: -1\/7, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-3\/14)\/r)\/r*r*r**(4\/19))\/((r*r**(-6\/7)*r)\/r**(-20)))**(-16) assuming r is positive.\nAnswer: r**(47128\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 0.1273\nAnswer: -4.0736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let f(k) = -k - 8. Let w be f(-11). Suppose -6*a + w*a = 0. Let b(c) = -140*c**2 + 134*c**2 + 0*c + a*c. What is b(o(j))?\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 4*c + 2*c)*(-2*c + c + 0*c)*(1166 - 578 - 31*c - 585) to the form r + v*c + f*c**3 + y*c**2 and give f.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 1, t: 1}. Give prob of sequence ttt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11177126*j**3 - 3*j + 2776891 wrt j?\nAnswer: -67062756*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6592828.8 and 0.3.\nAnswer: -1977848.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*4*((-650)\/(-4420))\/(60\/18).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*h - 10696 = 148*h. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:35 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 >= -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 5*k**2 - k + 13. Let c be t(5). Suppose -c*x - 55 = -3*x. Let d = 17 - 28. Is x less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**7\/105 + 27*i**6\/40 + i**5\/60 - 439*i**4\/4 + i**3\/3 + 4325*i**2. What is the second derivative of z(t) wrt t?\nAnswer: -24*t**2 + 486*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330 and 17710.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 51602660?\nAnswer: -51602663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 + 172. What are the prime factors of w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 10, 5 + 4 = 5*z + 3*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 226729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21604383.\nAnswer: 3, 23, 104369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 15 + -16 - (2 - -7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 + 4*c + 9. Calculate the lowest common multiple of a(4) and (0 + -5)\/((-102)\/36 + 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 12:47 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let w be (-50)\/4*((-24)\/(-10) + 0). Let z be 4\/w + 5416\/120. Let u(b) = -z + 5*b**2 + 45. Give u(a(i)).\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 11987?\nAnswer: -11986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + u - 11 + 34 = 0, x = -4*u + 33. What is the greatest common factor of 25 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:21 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 423154 (base 6) to base 14.\nAnswer: c782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27687303 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -21*g + 60. Solve -g*o - 4 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*m - 3313654 - 123348 = 2976581. List the prime factors of m.\nAnswer: 11, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*7\/462*-6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*q - 4 - 12 = 0, -q = -2*y - 27. What is the hundreds digit of (-6)\/(-4)*((-16692)\/18)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(66) - sqrt(66)*-2 - sqrt(66)))\/(sqrt(294)*2).\nAnswer: 4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-9)*(-9)\/6. Let w(a) = 2*a + 14 - a**2 - 14. Let n(k) = 4*k**2 - 11*k. Give z*n(c) - 11*w(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 649*k**3 - k**2 - 7859*k + 15611558?\nAnswer: 1947*k**2 - 2*k - 7859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 8. Let a be -5*(t + (-26)\/(-10)). Factor 0 + 10\/7*c**a - 4\/7*c.\nAnswer: 2*c*(5*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89470, -179248, -269032, -358828, -448642, -538480, -628348, -718252?\n\"Answer: -d**3 + 3*d**2 - 89780*d + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = -119*r + 2835 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 3. Let a be ((-3)\/6)\/(r\/(-10)). Suppose -a*g - b + 2 + 5 = 0, -4*g + 17 = -3*b. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/3530 and 24\/13061?\nAnswer: 130610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*g - 26. Suppose -37*w + 8 = -35*w. Suppose -2*n + 6*n - w = 0. Solve g*q = 21 - n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**4 - 13*z**3\/2 + 4*z**2 + 1. Differentiate a(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/92, 1\/8, -1.4, -6 in ascending order.\nAnswer: -6, -1.4, -1\/92, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 7, 1523, -0.4, -3, -2\/57?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 390 + 874. Let h = -448 - a. What is the common denominator of -1 - (-4)\/(h\/15) and 25\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 12 + 2)*(-2 + 7 - 1)*(5*q - 5*q + 4*q).\nAnswer: -80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -756*r + 758*r - 4*b - 112, -4*r = -5*b - 146 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99769362 to the nearest integer?\nAnswer: 9988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m - 999 + 2205 + 1214 = 0 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*7\/((-28)\/(-30)). Let r = -12 - -17. Suppose 2*l = l + y + v, 5*l - 25 = -r*y. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 10*m**3 + 59 - 97 + 21 + 0*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1747*r - r**3 + 1743*r + 1743*r - 5233*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 3 = -h. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1 - 9 = 0. Let w = m - 1. Let d be 1\/3 - (-4)\/w. Which is bigger: d or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 5. Let j(u) = -u**2. Calculate f(j(o)).\nAnswer: -4*o**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25\/2 - 12. Let k = 0.572 + -0.462. Is k < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l**3\/5 - 266*l**2 - 44*l\/5 + 266 = 0. What is l?\nAnswer: -1, 1, 665\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02841 - -0.24711. Let o = y - 0.218695866. What is o rounded to seven decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 24*h + 164 + 43 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c - -10?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168048 and 882252.\nAnswer: 3529008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203*p**3*w**2 + 18*p**3*w + 2*p**2*w**2 + 2*p*w wrt w?\nAnswer: -406*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.66122 years in centuries?\nAnswer: 0.2566122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7400?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 3*f + 5 - 17, 0 = 3*y + 5*f - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10) - 7\/(21315\/(-2117))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000306968 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = -4*x + 3, 2*x + 15 = r. Let a be (x - -8)*(-4)\/6. Let t(f) = 2*f**2 + 5*f + 6. Let o be t(a). Let g(j) = j**2 - 5*j - 1. Give g(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69443650?\nAnswer: 2, 5, 1388873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**6\/660 - 6*a**5\/55 + 63*a**4\/44 - 90*a**3\/11 + 2824*a**2 - 1. Find o such that m(o) = 0.\nAnswer: 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (8 - -10) + -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -11\/2*q**2 - 3 + 14*q. What are the prime factors of s(-7)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4254 divided by -3?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - 3*l**2 + 31*l - 5 - 24*l. Let m be j(-8). Suppose -57 = -5*i - k, 0 = k + m*k - 8. Calculate the remainder when 41 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -12. Is (-1314)\/12*x\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604898011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 - 4*k**2 - 3*k + 5. Let p(v) = v**2 + 2*v - 2. Let q(n) = -p(n) - t(n). Let u(g) = -9*g**3 - 5*g**2 - 3*g + 5. Determine 5*q(z) + 3*u(z).\nAnswer: -2*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 163366995679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 492*b**2 + 496*b.\nAnswer: -4*b*(b - 1)*(b + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.8 + 3. Let s = 4.8 + o. Let r be (-8)\/2 + (-62)\/(-16). Which is the nearest to 2\/3? (a) 0.2 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 6*y**2 - 5*y - 3. Let h(o) = -3*o**3 + 11*o**2 - 9*o - 6. Let b = 25 - 28. Let n(j) = b*h(j) + 5*q(j). What is n(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -24341 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34763330 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(3 - 6 + 2)*(-26*r + 0*r + 3*r).\nAnswer: -46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2170043, -2170041, -2170039, -2170037, -2170035?\n\"Answer: 2*u - 2170045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*o + 8803*o**2 - 9348*o**2 - 79*o.\nAnswer: -545*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21215661 (base 7) in base 10?\nAnswer: 1802802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50977264*c**4 - 4435*c**2 - 2006*c wrt c?\nAnswer: -1223454336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1411023*n**3 - 3*n - 2953729?\nAnswer: 4233069*n**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/12 and -77\/68033034.\nAnswer: 136066068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 53*b**2 - 55764*b + 119700. What is m(1050)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:38 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11081 is divided by 154.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 8 = 0. Suppose 33 - 8 = 5*x. Solve a*q - 3*q = -x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 0.44. Let l = -1.7 - -1.3. Which is the closest to 0.1? (a) l (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*9 - (18 + -18). Suppose x = 3*g + 6. Let v = g + -11. Sort v, 3, 4 in ascending order.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 87 + -87. Suppose l = -4*h + 24733 - 4209. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 95?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-33)\/(-12))*10. Let y = v + 18. Factor y*x**3 + 0 + 0*x**2 + 0*x.\nAnswer: x**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 208\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 - 4)*(2*u - 6*u + 3*u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-25)\/20)\/((-2)\/5))\/(((-1845)\/(-108))\/41)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + -2 - 40\/22. Let y = 34\/69 + 4\/23. What is the third smallest value in h, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/5)\/((-2)\/55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2790 + -2926. What is the smallest value in 0, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*s - 4*s**4 - 2*s**4 + s + 5*s wrt s?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 7*w**2 - w + 14. Calculate g(8).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -57*s - 5*s - 34 - 2*s + 23*s. What is the tens digit of b(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-10 - (2 + 1 + -2) - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*k + 142*k - 1 = -h, -4*h - 2*k = 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154511 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 14*r**4\/15 - 116*r**3\/15 + 40*r**2\/3 - 16*r\/5 = 0.\nAnswer: 0, 2\/7, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let g(n) be the second derivative of n**6\/180 - n**5\/60 + 37*n**4\/12 + 33*n. Let j(s) be the third derivative of g(s). Give 5*c(v) - j(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 195*d**3 + 154*d - 1?\nAnswer: 1170*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2148 = -0*r + 5*r, -1714 = 4*r - 2*h. Let f = -959\/2 - r. Find the common denominator of f and 48\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6001008 and 69\/6154880.\nAnswer: 240040320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*q + 68 = -177*q. Solve -63*r + 15 = -q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 180 = -41*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15341440 (base 7) to base 11\nAnswer: 916248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5160993 and 0.2.\nAnswer: -1032198.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27) - 2\/9. Let f(r) = r**3 + 1 - 2*r + s*r**3 + 0. What is f(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2814158 (base 9) in base 3?\nAnswer: -2220111011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4185970 divided by 1\nAnswer: 4185970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(35\/(-50))*-1. Calculate the greatest common factor of l and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -12 - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/185909 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 8*m + 143. What is the remainder when 164 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from pppippi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ba80 (base 14) in base 10?\nAnswer: 339584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q. Let k(c) = -873 + 873 + 10*c. Determine r(k(y)).\nAnswer: -100*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558 and 8990?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 + 20*q**2 + 7*q + 2. Let a(w) = -3*w**3 - 25*w**2 - 6*w - 2. Calculate -5*a(n) - 4*y(n).\nAnswer: 3*n**3 + 45*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20046140*b**2*l**3*r + 22*b**2*l**3 + 6*b**2*l**2 - b**2 + 4138*l wrt r.\nAnswer: -20046140*b**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -881 + 221 + 212*b + 5*b**3 - 135*b**2 - 473*b + 841*b.\nAnswer: 5*(b - 22)*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -7, 1, -0.1 in descending order.\nAnswer: 1, 1\/11, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 195577657.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 81557*-9\nAnswer: -734013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/(-39) - 4\/3. Let q be 9\/3 + 9\/p. Which is the second biggest value? (a) q (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15747 to 3 decimal places.\nAnswer: -0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56044986 less than -1.8?\nAnswer: -56044987.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 69 = 5*a, 2*a - 54 = -4*f + 2*f. What is the greatest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 412 (b) 0.5 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2442 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.04, 7, -0.2, 0.2 in increasing order.\nAnswer: -0.2, -0.04, 0, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-3*3)\/sqrt(4).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 770 and 561?\nAnswer: 39270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 - 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -4*z - 0*z. Suppose z*f = 33*f - 30. Find the common denominator of -97\/22 and (-4)\/f - (-2345)\/(-300).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2392*q - 7453 = -2135*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 67, 65, 63, 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -582*x - 3476. Determine n(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1) + (4 - 5)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c - 2\/3*c**3 - 36 + 1\/2*c**2. Let h be 6\/(-2) - (-23 + 19). Determine t(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33965 is divided by 211.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -216 (c) -5 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*i, 12 = -2*i + 3*t - t. Suppose -4*u + 6*a = 4*a + 18, 4*a = 4*u + 20. Let h = u + -1. Which is smaller: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1406, 163, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 12296*n**2 + 7897978*n - 15845156.\nAnswer: 2*(n - 2)*(n + 731)*(n + 5419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 54*j - 2. Let q be o(1). Suppose 0 = -3*t + p + 284, -t - 2*p + q = -31. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 2, k: 1}. What is prob of picking 1 b, 1 k, and 2 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 - 2*p**4 + 20*p**3 + 20*p**2 - 18*p - 18 = 0. What is p?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16335661 is divided by 527?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -16019?\nAnswer: -9\/16019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45002*m**3 - 144*m**2 + 78?\nAnswer: 270012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r\/r**(-7))*r*r)*r\/(r**1*r*r)*r*r)**(-8) assuming r is positive.\nAnswer: r**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12580\/74)\/34*(-2)\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 3:24 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95085320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7, -5, -3 in decreasing order.\nAnswer: 7, 6, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:41 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 269, 1081, 2427, 4301, 6697, 9609, 13031, 16957?\n\"Answer: -f**3 + 273*f**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 1\/3, 0.02 in descending order.\nAnswer: 1, 1\/3, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366 and 15982.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2759, -2777, -2795?\nAnswer: -2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkfkkkkf. What is prob of sequence ff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 30, -5.424, -0.2 in descending order.\nAnswer: 43, 30, -0.2, -5.424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -1561*b**5\/20 + 5985*b**2\/2 - 3287*b. Differentiate a(j) with respect to j.\nAnswer: -4683*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 16. Suppose -3*d + 5 = i - h, 0 = -3*d + 2*i - 2. Suppose 0 = d*y + 2*y - 36. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19 smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23780 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40130868*j**4 + 37621533 wrt j.\nAnswer: -160523472*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -148. Suppose -4*c + 36240009 = u*y, -9497315 = -c - 4*y - 437303. Round c to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 321*n - 318*n + 348, 3*n + 366 = 3*g. Suppose -5*h + 2*v = -0*v - 1164, 5*h - v = 1167. Let p = n + h. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 30428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6394*l + 1733*l**2 + 5784*l**2 - 662*l**2 wrt l?\nAnswer: 13710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -32 - (3 - 1 - 2 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 11*h - 8. Let y be a(7). Let s = y + -77. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + -79. Let t be (y - -1)*(-50)\/(-5). Solve -2*l + 17 = -3*i, 4*i + t = 2*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000341946474 to six dps.\nAnswer: 0.000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688*c = 693*c - 20. Suppose -j + 62 + c = 0. Calculate the remainder when j is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7273673.\nAnswer: 11, 47, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z + 3 = 32*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11095 - 10267. Which is smaller: 0.7 or w?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/60 - l**4\/8 + l**3\/6 + 7*l**2. Determine r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -3)\/((-9)\/(-3))*-1. Let y(k) = -11*k**2 - 2*k - 1. Determine y(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61025 is divided by 20307?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2. Let y(d) = 4 + 2 - 40*d + 6 - 10. Let k(l) = 1080*l - 55. Let a(b) = -2*k(b) - 55*y(b). Determine f(a(g)).\nAnswer: -3200*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyoffoof. Give prob of picking 3 f and 1 y.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g + 18*g - 6*g - 1345.\nAnswer: -g - 1345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w**3 - 298*w**2 + 17*w + 157. What are the prime factors of m(-26)?\nAnswer: 5, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 995358.7 litres?\nAnswer: 995358700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/2 - 1507*t**4 + 2789413*t**3\/2 - 390587274*t**2 + 33587654562*t = 0.\nAnswer: 0, 198, 1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w**2 - 18*w - 6. Let y be f(4). Let p be ((-12)\/(-18))\/((-4)\/6) - -4. Solve 0 = -y*l - p - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/14)\/p)\/(p\/(p\/p**1*p*p*p))*(p*p*p**(3\/7)*p)\/p*p**(-15))**(-33) assuming p is positive.\nAnswer: p**(759\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 368 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -2, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**20\/(q**(2\/9)\/q**(-6)) assuming q is positive.\nAnswer: q**(-176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/3, -7, 0.4, 1\/78, 4.\nAnswer: -7, -2\/3, 1\/78, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7288260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5670 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4*r + 36 = 0, 5*i - 4*r = -r + 8. Suppose 8 - i = 4*g. Put g, 4, -1 in descending order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 18 = -2*g - g, -16 = -2*h + g. Let y(i) be the first derivative of -i**2 + 9*i - 6. Calculate y(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -12. Let a be 147\/12 - j\/8. Let q = a + -11. Is q at most as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 + 16*c**3 + 16*c**3 - 17*c**3 + 22*c**3.\nAnswer: 46*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 76 and 79990.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 8*f + 5. Let h(q) = -6*q**2 - 17*q - 11. Let r(z) = 6*h(z) + 13*s(z). Let g(d) = d**2 + d - 1. What is 2*g(o) - r(o)?\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-27)\/120*22\/(-3) and 91\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -7*n**3 - n**2 - n - 1. Let a(b) = -9*b + 95. Let o be a(9). Suppose 19*r - 21*r + o = -4*g, 5*r = -2*g + 23. What is y(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694, -1391, -2088, -2785, -3482, -4179?\nAnswer: -4876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3)*(2 + 2 - 1)*(0*c + c + 2*c)*(4 - 3 - 2) to l*c + p and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6444 (base 15) in base 16?\nAnswer: 52de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 - -149. Suppose -2*f - 2*f - 3*i = v, -3*i = 5*f + 58. Let q(u) = u**3 + 14*u**2 - 2*u + 7. Does 7 divide q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19*w - 71. Let z be m(4). Solve -19 = z*t + j - 7, -5*t = -j + 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6405, 6279, 6153?\n\"Answer: -126*j + 6531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 + 234. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483 by 22.\nAnswer: 483\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 4*j**2 + 7*j - 9. Let q be p(5). What is the third biggest value in 2, q, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 2916*z - 1062882.\nAnswer: -2*(z - 729)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + y + 0)*(157 - 4*y + 163 + 20 + 50).\nAnswer: -4*y**2 + 390*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 80*d**2 + 8*d - 3. Let s be j(2). Let n = s - 329. Solve n = -2*k - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 30 + 42 - 30\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 4, 850?\nAnswer: 850","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 9*n - 8. Let v be r(-7). Suppose 2*y + 0*y - v = 0. Let i(p) = -p + 2. Let j be i(3). Put j, 1, y in decreasing order.\nAnswer: y, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 4*o - 35, w - 5*o = -7*o + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.8 - -21.801205. Round m to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11272\/14 - -1 - -19*(-5)\/665 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f**2 - 38*f**2 + 153*f**2 - 2*f - 5*f + 3*f.\nAnswer: 86*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3372*h - 145. Let g be (-10)\/35*(-5 - -19). Is f(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 262.94\nAnswer: -254.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401 divided by 6.\nAnswer: 401\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16459 and 16241.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-5 + 4) - -3*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -9 (b) 1 (c) 1\/17 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15002216 is divided by 3750529.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 133110 and 3060.\nAnswer: 266220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1508 and 3029?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/720 + n**5\/60 + 31*n**3\/6 + 41*n**2. Let a(c) be the first derivative of g(c). Solve a(v) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7.4. Let q = d + -0.4. Let y be (1 + -2)\/(-10)*-4. Sort q, 0, y in ascending order.\nAnswer: y, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 321\/7 (b) 2\/15 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.2 + 3198935.94.\nAnswer: 3198901.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*((z**1\/z)\/z)\/z*z)\/z**7)\/(z*z**(2\/3))**(12\/13))**(-7\/10) assuming z is positive.\nAnswer: z**(777\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/226 and (-106*5\/(-30))\/((-48)\/9).\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 343 - 242. List the prime factors of t.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/18 and -61\/1062.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q = -5*n + 45*q + 62, -2*n = 3*q - 21. What is the lowest common multiple of n and ((-2)\/4)\/(4\/(-128))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2677595 is divided by 96.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 3*c**2 + 11*c**2 - 11*c**2 - 4*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k. Let x(i) be the first derivative of -46 - 29*i**3 + 3*i**3 - 15*i**3. Give f(x(s)).\nAnswer: 246*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -971782519 to the nearest 1000000.\nAnswer: -972000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 98?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6237963157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y**2 - 2*y - y = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*2\/4. Suppose -6*g = -g - 25. Suppose 2*k + 5 = g*k + 5*y, 5*k - 3*y = -37. What is the nearest to 2\/7 in k, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179\/340 - -5\/68. Which is the nearest to -5? (a) -3 (b) 4 (c) -0.3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f + 4. Suppose -f*o = 3*s + 2 - 1, 2*o = 2*s + 10. Factor -4*j - 8 - 1\/2*j**o.\nAnswer: -(j + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*2*(4 + sqrt(20)\/sqrt(4))*-6.\nAnswer: -192 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -12463072 = -12463071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167177749, 167177747, 167177745, 167177743, 167177741?\nAnswer: 167177739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-11) + (-194)\/(-22). Suppose -3*f + 22 = -4*s, -4*f + 2*s + b = -37. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -1412, -3384, -6096, -9518, -13620, -18372, -23744?\nAnswer: -29706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4162826 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**5 + 11*p**4 + 132*p**3 - 3*p**2 - 122*p - 8. Let o(u) = u**5 - u**4 + 3*u**2 + u - 2. Let j(i) = d(i) - 4*o(i). Find g such that j(g) = 0.\nAnswer: -7\/2, -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434849.\nAnswer: 434849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -55. Let t(b) = 3*b + 19. Let v be t(-6). What is the tens digit of (v*x\/16)\/(1\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563 + 455 - (2 - 215).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1142 and 14665.\nAnswer: 15807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:05 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 1377*y - 2*y**2 + 47*y**3 - 1372*y - y**4 - 49*y**3 + 0*y**2 to the form g*y + w*y**4 + v*y**3 + k + i*y**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, -0.2, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -391*r - 401. Calculate j(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13.6532us?\nAnswer: 0.0136532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (38\/247)\/(48\/156)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-20)\/(((o**(-5\/3)\/o)\/o*o*o)\/o*o)*(o*o**(-1\/33)*o)\/o*o\/o**(1\/4)*o assuming o is positive.\nAnswer: o**(-687\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220.14549 * -2.\nAnswer: 440.29098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29849279 is divided by 236.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 8*v**2 + 7*v + 5. Let b be r(-7). Let g = 5 - b. Suppose z = -x - 4*x + 7, g = 5*x - 3*z + 1. Solve 2*l - x = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 1:15 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-513)\/36 - 1833\/(-104)*6\/(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 286, 3\/2, -0.3, -0.4, -2\/9, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102131420 + -11?\nAnswer: 102131404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100011 + -11000?\nAnswer: -1011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u = 19*u + 28543. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -54. What is the closest to 6 in a, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - m - 4*m + m. Let j(t) be the first derivative of t**3\/3 + 7. Give d(j(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 3:42 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 992 and -431.3.\nAnswer: -427849.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -3*h**5\/20 - h**4\/6 + 13*h. Let j(t) = 16*t**3 + 11*t**2. Give 2*j(p) + 11*y(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) -3\/10 (d) -4682 (e) 0.033 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 131181 or -52?\nAnswer: 131181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 949297239 to the power of 1\/2, to the nearest integer?\nAnswer: 30811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + 3*x + 17 + 18, -20 = -w + 5*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 + -5 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31617753 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300427, -300423, -300419, -300415, -300411?\nAnswer: -300407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30983 + -31010. Sort -58, r, -4.\nAnswer: -58, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3790*x - 2123*x**3 + 2113*x**3 - 3779*x.\nAnswer: -10*x**3 + 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68504?\nAnswer: 2, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-9)*-3 - (-16)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 0.7 (b) -0.3 (c) 270 (d) -0.064 (e) 0 (f) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 - 1246\/3. Put 5, -0.022, w in ascending order.\nAnswer: w, -0.022, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -5. Let r = -5 + 0. Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 18*m = -88. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55112 - 2\/9*z**2 + 664\/3*z.\nAnswer: -2*(z - 498)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6454 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: Is 72211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 (base 8) in base 15?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -8*m**7\/105 + 483*m**6\/10 - 43802*m**5\/5 + 32761*m**4\/6 + 893*m**2. Determine b so that i(b) = 0.\nAnswer: 0, 1\/4, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(-39))\/a)**43 assuming a is positive.\nAnswer: a**(-1634)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -47686843\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m + 6. Let p = 10 - 7. Let i(x) = -2*x + 2. What is p*g(o) - 8*i(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2114884000 to the nearest 1000000.\nAnswer: 2115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -87*z + 78*z. Suppose 0 = w - a - 16 + 7, 4*a + 6 = -z*w. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**3 + 3*o**2 - 4*o. Let a(f) = f**3 + f. Let h(w) = 4*a(w) + n(w). Let c be h(3). Suppose -25 = -c*y - y. Solve g + 4*g + y = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -0.9403?\nAnswer: -0.9403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101211200021111 + -2?\nAnswer: -101211200021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211 - 7. Let s = -386.9 + t. What is s rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 22. Calculate the remainder when p is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((3 - (-1475)\/(-490))*-2). Let d be 7\/p + 460\/14 + -3. Calculate the highest common divisor of 48 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641255 (base 10) in base 6?\nAnswer: 21424435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*a**2 - 28*a**2 + 99*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + a + 1, j - 3*a + 12 - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-15640)\/(-255))\/(-46)*((-225)\/2)\/3\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + -231. Let u be 2\/7 - h\/35. Let i(r) = -r**3 + 3*r**2 - 3*r - 4. What is i(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*x + 2 = 13 + 2 + 15, 11*a - 212 = -18*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + f**3 - 2*f**3)*(6 - 2 - 1) + (0*f + 3*f - f)*(f**2 - 4*f**2 + 2*f**2) + 2 - 2*f**3 - 2 - 2*f**3 - 2*f**3 + 6*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 3. Let i(s) = 7*s + 6. Let u(z) = 4*i(z) + 9*r(z). Let c be u(3). Calculate the remainder when c + 53 + 2\/(-1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3045939753 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (-6*((sqrt(270)*2 - sqrt(270) - sqrt(270)) + sqrt(270)))\/sqrt(10) + -3)**2.\nAnswer: 144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*1\/5 - 944\/(-80). Let o(g) = 2*g**2 - 22*g - 20. Calculate the smallest common multiple of 20 and o(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/4 and ((-155)\/(-25))\/((-2)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 434462587*y**5 - 8177*y**2 - 11*y + 8?\nAnswer: 26067755220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50f - 0?\nAnswer: 50f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1376 is divided by 643?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t**2 - 7*t**2 - 13*t**2)*(377*t**3 + 350*t**3 + 147*t**3).\nAnswer: -9614*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*x + 25 = 2*t, t + 2*x - 8 = 0. Suppose -39*o = -t*o - 429. What is the remainder when 388 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 107 = -23. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 32747910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74328430 to the power of 1\/2, to the nearest integer?\nAnswer: 8621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -12300322303121?\nAnswer: 12300322303120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = 3*h. Suppose -5*n - 10 = h*q - 0*q, -n = 5*q - 20. Let l(y) be the second derivative of -y**4\/12 - 2*y**3\/3 - 7*y**2\/2 + y. What is l(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/18 + 4*z**3\/27 + 7*z**2\/9 + 8*z\/9 + 7. Factor l(m).\nAnswer: -2*(m - 4)*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -1\/295, -11, 83?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/60 - 5*a**4\/24 - a**3 + 25*a**2. Give b(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*m - 6, -2*m + z + 17 = 2. Let x be 1\/(1\/2) - (15 - 14). Let l be (-2 - 0)\/(4\/(-10)). Solve f + m = l*r, -f - f = r + x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5539, 5621, 5699, 5773, 5843, 5909?\n\"Answer: -2*c**2 + 88*c + 5453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j**2 + 23*j - 11. Let s(g) = 4*g**2 - 8*g + 4. Suppose -2*h = 4*x - 5*x + 6, -5*x - 2*h + 30 = 0. Calculate x*c(w) + 17*s(w).\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11539, 11198, 10631, 9838, 8819, 7574, 6103?\nAnswer: 4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 at least as big as 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432482 (base 9) to base 15.\nAnswer: -51575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2. Let o(r) = 168*r**2. Calculate f(o(a)).\nAnswer: -56448*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 994.2753 centimeters?\nAnswer: 9942753000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4\/5, 56, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*d - 48. Differentiate d*x**3 - 11*x**3 - 3 - 12 wrt x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4 = -116. Let z be u\/32*2\/3. Which is the nearest to 0.1? (a) -2\/11 (b) z (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:18 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 54.99663.\nAnswer: 219.98652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2*4.\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91015?\nAnswer: 5, 109, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -51801.775 less than -6.099?\nAnswer: 51795.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/64953 bigger than 13.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*s + 5*s. Suppose -3*l + s*k + 13 = 0, l = 5*l - 5*k - 22. Suppose 0 = -m + 18 + l. Calculate the highest common divisor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(68\/(-2)))\/(3\/((-201)\/(-2)))*-2?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/159 and 29\/57.\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-322)\/805)\/(0 - 1). Let y be (-35)\/175*(2 - 3). Which is the fourth smallest value? (a) g (b) -0.07 (c) -0.1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 6*p**2 + 5. Let w be c(3). Let q(o) = 55*o**2 + 2*o + 2. Let v be q(-2). Let m = -3268\/15 + v. What is the nearest to w in m, -3\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38178, -38181, -38182, -38181, -38178?\n\"Answer: q**2 - 6*q - 38173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/((b*b\/(b\/(b*b**(-2))))\/b)))\/b*b\/b**(1\/6))\/(b**(-2\/7))**(-15) assuming b is positive.\nAnswer: b**(-187\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812381*q - 812381*q - 42*q**2 + 41*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1394271563 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(396)*-5)**2 - sqrt(396)) + ((-2 + sqrt(396) + 3)**2 - sqrt(396)).\nAnswer: 89497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 - 362. Let d(a) = a**2 + 3*a - 4*a**2 + 5*a**2 + 11. Is d(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -49182, 5, 9 in ascending order.\nAnswer: -49182, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/12 - -1)*-27. Let a be 157\/g + 60\/(-135). Solve 5*r - 7 + a = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (45 + -23 - 43)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6300*l + 4444. What is the thousands digit of s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -5)\/((-15)\/(-30)). Solve 2*d + k = -m, -5*d + 3*k - 15 = 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + sqrt(468) - sqrt(468)) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*t + 116*t - 36*t - 42*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 10. Calculate w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 + 8*v - 104. Let i be j(9). Let f = -291 + i. Which is bigger: f or -1\/432?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61.03*-399.\nAnswer: -24350.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -20. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602948?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/(-53)*(-1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83639600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33169010.632 + 4\nAnswer: -33169006.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Let y = 5 + -3. Let p(d) = y*d + 3 - 3. Determine w(p(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-18)*-6*(2 + 1). Let k be (g + 7)*(0 + 4). Calculate the greatest common factor of k and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4092047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0432691 + 19.665777\nAnswer: 19.6225079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*g + 23, -2*g + 8 - 35 = -5*v. Suppose b + 6*f = f + 153, -2*b = -v*f - 306. Calculate the common denominator of 5\/2 and (-6)\/21 + b\/(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 - 3*x + 12. Let l be u(-5). Suppose 64 = 4*p - h, -p - l*h = 2*h - 16. What is the remainder when 61 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26\/25 - 6\/25. Let w = -778 - -772. Which is the third biggest value? (a) w (b) o (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c + 4*c + 2*c + c**2 + 7. What is the tens digit of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + 0*w)*(-w**4 + 3*w**4 + 0*w**4) + w**4 - 3*w**5 + 4*w**5 + w**5.\nAnswer: -2*w**5 + w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5547*l + 246467 = 3411*l - 855367 for l.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 883692, 883302, 882914, 882528, 882144, 881762?\nAnswer: 881382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 11*a + 96. What is f(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 4 (c) 1727 (d) -2\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 + 63 - 63 + 3*v - 5*v**3 as f + x*v + i*v**2 + j*v**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - o - 42. Let z = o + 85\/14. Which is the nearest to z? (a) -4 (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -11. Let y(r) = -r - 2. Let k be y(11). Let m = d - k. Solve 5*s = m*o - 40, -2*o + 2*s = 6*s + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 27*w. Let g(i) = 951*i. Give g(r(d)).\nAnswer: 25677*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + 1 + sqrt(325)*3 + 1*sqrt(325)*-6 + 4))**2.\nAnswer: -9720*sqrt(13) + 108216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*l - 6, -4*z - 10 = -6*l + 4*l. Suppose l + 59 = 20*g. Solve 3*t = g*f + 9, 1 = 2*f + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24394 is divided by 21516?\nAnswer: 2878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 24*s**3. Let m = 0 + 1. Let p be n(m). Let b be ((-15)\/(-50))\/(p\/(-10)). What is the third smallest value in b, -1, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1121 (base 3) to base 13\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139223727 minus 24?\nAnswer: 2139223703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -0.020166163.\nAnswer: 0.379833837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) -0.3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 3*j. Let s be (-9)\/(-4) - (-7)\/(-28). Is j not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2960 divided by 185.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 457\/154 - (9 - 6). Let r = o + 7\/22. Which is the third smallest value? (a) 5 (b) r (c) 1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -42. List the prime factors of 70\/(2 - -3) + r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -18, 268, 32, 2.\nAnswer: -18, -5, -3, 2, 32, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5713\/45 + 627\/5. Find the common denominator of a and -92\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2430250 by -250.\nAnswer: 9721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 95808 divided by 4?\nAnswer: 23952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 12*k - 4 - 3\/2*k**2 - 1\/2*k**3. Determine v(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.64 + -3.94. Let q = 0.1 - -1.9. What is the third biggest value in q, 0.2, j, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*u**3 - 43*u**2 - 3*u + 17205 wrt u?\nAnswer: 9*u**2 - 86*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -28. Let c(q) = -77*q - 34. Is c(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {o: 7, w: 1, e: 1, b: 2, h: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6724760 and 5640.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 12 = a. What is the units digit of (3\/a)\/((-6)\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 5*q + 6, 2*m - 14 = -m + q. Solve -3*u = 3*a + 2*u - 22, 29 = -m*a + 5*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 4*s - 2770. List the prime factors of s.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 52 = -8. Is (175\/r)\/((-1)\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -338963.47384243 + 338963.5. Let q = -3.97384543 - i. Let v = -4 - q. Round v to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/1)\/((-16)\/8). Does 33 divide 33\/60*1156 - n\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 4 + 0*x**3 + 0*x - 15\/2*x**2 - 6\/5*x**5 + 0*x**4. Find the second derivative of k(h) wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*l + 4, -4*u + 6*l + 36 = l. Suppose 2*j**3 - 2\/3*j**u - 2*j + 4\/3 - 2\/3*j**2 = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -183\/1364 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47683 + 13584. What is t rounded to the nearest 100?\nAnswer: -34100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose 0 = -q*w - 3*w + 10. Suppose 4 = r - 2*h, 0*h = w*r + 4*h - 24. What is the lowest common multiple of r and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, -1, 4\/7, -2\/15, 6480?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b - 94 + 128*b**2 - 8*b**2 - 61*b**2 - 697*b**2 - 1045*b**2 wrt b.\nAnswer: -3366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, a: 5, u: 6, t: 1, m: 3, z: 4}. Give prob of picking 1 a and 3 u.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001049 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.01278.\nAnswer: -0.001278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105253 (base 6) in base 15?\nAnswer: -1172c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 11100.\nAnswer: -1\/3700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*x + 27 + 52 = -133 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a - 80 + 80 + (-1 + 1 - 2)*(-a + 6*a + 5*a).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(704) + sqrt(704) + 0 + sqrt(704) + sqrt(704)))**2 + 4.\nAnswer: 281604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s**3 - 8*s**2 + 9*s**2 - s**2.\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-7 + 3 - 4)) + (-14 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + -8238?\nAnswer: -8282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*p = -9*p + 8, 0 = 3*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 23*b**2 - 40*b + 38. Let h be s(-21). What is the nearest to 1 in 2\/95, 0, h?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*n + 34 = 0, 0 = 3*i + i + 2*n + 36. Let j be i\/(32\/(-468)) - -3. Let p be (14\/4 - 3)*6*5. Calculate the highest common divisor of j and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 at least as big as -277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 8*d - 5. Let f be z(4). Suppose 10*p + 70 = f*p. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 65712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -8*w**2 + 197*w + 97. Calculate m(25).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 4. Let f be d(-3). Let l = 9.4 - 9. Let r = -0.06 + 3.06. Which is the closest to -2\/3? (a) f (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -295, -2, 0.02995, 3, -3 in descending order.\nAnswer: 3, 0.02995, -2, -3, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5985763144 to the power of 1\/3, to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -6, -1169 in descending order.\nAnswer: 4, -3, -6, -1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -138.41101?\nAnswer: -138.41101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32288864864*i**4 - 62597904016*i**3 - 3919186392*i**2 - 80654380*i - 551368 = 0.\nAnswer: -41\/2006, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6020 (base 7) to base 13.\nAnswer: c35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (10 + (16 - 19))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 49 = -36. Let u = -11 - t. Suppose -3*g + 0*g = -u. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122122 (base 4) in base 9?\nAnswer: -2277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**4\/4 - 7*q**3 + 10*q**2 - 69*q - 356. What is a(-22)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 110.98 - 94.98. Which is the closest to 6\/5? (a) 5 (b) 4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*(-6)\/78*-8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - ((sqrt(72)*4)**2 - sqrt(2) - sqrt(2)) - (-3*sqrt(2)*-2 - sqrt(2)).\nAnswer: -1152 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 3, k: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 10:19 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 1873*s - 281760. Determine m(-140).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 11*x + 122. Let y be g(17). Calculate the greatest common divisor of 152 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 4*b**2 + 2*b + 3. Let v be (-44)\/(-10) - (-12)\/(-30). What is the units digit of j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 430?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q. Let z(u) be the first derivative of -16*u**2 - 3*u - 5036. Calculate z(s(f)).\nAnswer: 288*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let o(i) = 191*i**2 + i + 1. Is o(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 377*j**2 + 7*j + 157. Is p(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 + 168 = 9*t - 323. Solve 0 = -t*n + 101*n - 12 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 0*m**2 + 5*m**2 - 12*m**3 + 13*m**3 - m**2 - 10. Let z be p(-3). Solve z*i - 2 = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390716 by 520.\nAnswer: 97679\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from ptutp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**4 - 34*b**3 + 38*b**2 + 42*b - 36.\nAnswer: 2*(b - 3)**2*(b + 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*x - 7 = 9, 0 = 3*o + 5*x + 4. Suppose 2*z - 4*w - 40 = -o*z, 2*w - 57 = -5*z. Suppose 0 = -0*q + q - z. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4 - 288*b**3 - 585*b**2 - 294*b = 0 for b.\nAnswer: -1, 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**6\/2 - 5*p**4\/6 - 6*p. Find the third derivative of h(x) wrt x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2*j**2 - 339*f**2 - 2*f*j**2 - 3*f*j + 2*j**2 + 4 wrt f?\nAnswer: -6*j**2 - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/4)\/(2\/(-16)). Let y = 38 - c. What is the smallest common multiple of (4 + (-40)\/25)*(-5)\/(-2) and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 16. Let p be g(16). Suppose 24*s - 48 = 8*s. Suppose s*o - 7 - 5 = p. Solve 0 = -o*i - 2 - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/2 + ((-1275018)\/2520)\/73 and -19\/48?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 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: What is the common denominator of 129\/46816 and 48\/121?\nAnswer: 514976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 152940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1554*g**3 + 1556*g**3 - 4673*g**3 + 1560*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 13, y: 5}. Give prob of sequence yy.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**7\/14 + 7*o**6\/10 - 21*o**5\/10 + 2*o**4 + 137*o. Find j such that l(j) = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-2)*5\/15. Let t(g) = -3*g + 1. Let a(m) = -8*m + 3. Let f be -2*57\/6 - (-4)\/2. Determine f*t(u) + s*a(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.09498?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:18 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 93*d**2 - 250*d**2 + 79*d**2 + 84*d**2 - 4*d**2. Let o(w) = -3*w + 68. Let m(l) = 13*l - 273. Let h(v) = 4*m(v) + 18*o(v). Give h(t(y)).\nAnswer: -4*y**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 7*t**2 - 6*t + 2. Let d be j(-6). Let n(l) be the second derivative of -1\/6*l**d + 4*l - 1\/72*l**4 - 1\/12*l**3 + 0. Factor n(m).\nAnswer: -(m + 1)*(m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5710045, 5710068, 5710105, 5710162, 5710245?\nAnswer: 5710360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 3. Let o be d(-3). Solve 5*u - m + 10 = 0, o*u - 6 = 3*u - 2*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {g: 2, y: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.56 - 8.56. Put 0.1, -28, 4, x in increasing order.\nAnswer: -28, x, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqw when three letters picked without replacement from {q: 1, g: 1, a: 1, w: 3, n: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 13 + b**2 - 5 in the form q + r*b + k*b**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/(-10)*150\/(-20). Let v = n - 100. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 divided by -4\nAnswer: 147\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19\/4 of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 17*c**2 - 6*c + 22. What is p(9)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -7*w + 2*w. Let u = 20 + w. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1620))\/(sqrt(324)*4 + sqrt(9)).\nAnswer: 6*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10519 and 6908.\nAnswer: 462836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.591*312.04.\nAnswer: -184.41564","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Divide -17765 by -43.\nAnswer: 17765\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (((6*2*sqrt(98) - sqrt(98)) + sqrt(98))*-5*-6)**2)*-6.\nAnswer: -152409540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -14 - 1. Suppose 4*o + w = 5*o. Suppose 6*u = j + 3*u - 1, -2*j = -u - 2. Solve o*s - 4 = 4*r, 3*s + 5 = 4*r + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 12*i**2 - 8*i + 78. Let y be p(12). Sort -9, -4, y, 0 in ascending order.\nAnswer: y, -9, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, 4750, -0.25?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8125, -65554, -221551, -525400, -1026385, -1773790?\n\"Answer: -8214*k**3 + 69*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*t**4 + 6587*t**2 + 8*t - 53501?\nAnswer: 924*t**2 + 13174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 555*v**3 - 14*v**2 - 11*v - 11. What are the prime factors of a(4)?\nAnswer: 3, 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139 + 204. Let v = 28 + y. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -8. Let h = l - -14. Find the third derivative of 2*s**6 - 2*s**h - 2*s**6 + 0*s**2 + 3*s**2 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17995 is divided by 189?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (7 - (3 + 4 - 6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvrrrrrrrrrr. Give prob of picking 2 r.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4761 or -4759?\nAnswer: -4759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -576*a + 870. Determine r(3).\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 times 2053.29?\nAnswer: 841.8489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -15*u + 7. Give j(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 97520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, m: 7}. Give prob of sequence ppp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*k**3 + 2*c*k*w - 2*c*w - 102*c - 200*k**2*w wrt k.\nAnswer: 12*c*k - 400*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 + 12*j**2 + 114*j\/5 + 56\/5.\nAnswer: 2*(j + 1)**2*(j + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*w**3 - 4 + 149*w**3 + 4 - 12*w - 7*w - 3*w.\nAnswer: -9*w**3 - 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -1078, -3605, -8514, -16597, -28646, -45453, -67810?\nAnswer: -96509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 206426462 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*l**3 - 4*l - 2*l**2 - 4 - 63*l**3 - 38*l**3 - 8*l - 5 as b*l**2 + d*l + n + g*l**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x**5 - 44*x**4 + 164*x**3 + 8*x**2 - 192*x = 0. Calculate x.\nAnswer: -8, -1, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**3 + 3*w**2 + 26*w + 18. Let u(k) = 26*k**3 + 7*k**2 + 53*k + 34. Let c(p) = 3*u(p) - 7*x(p). What is c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321541 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -175744, 1, 1071 in increasing order.\nAnswer: -175744, 1, 1071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*-3*-6 + -5*(sqrt(1216) + 1) + sqrt(1216).\nAnswer: -5 + 112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3311 by 3311.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69223 divided by -31.\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 154 = 158. Solve v*b + 3 = -1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 - -378. Let g = a - 114.0000059. Round g to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -255548, -255549, -255550, -255551, -255552?\n\"Answer: -i - 255547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -49255 at most as big as -49681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 7 - (-3 - (-2 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85985 + 112476. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 40, -11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3888 and 21384?\nAnswer: 42768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:23 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1620) + 2 + sqrt(1620) + sqrt(1620) + sqrt(1620) + sqrt(200)\/(sqrt(60)\/sqrt(6)).\nAnswer: 2 + 74*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109931.\nAnswer: 211, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 7. Let c be o(5). Let x = 20 + -20. Solve c*g + 12 + 0 = x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2809389*x + 683649*x + 1145717*x.\nAnswer: 4638755*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 4*n - 6. Let c be t(-6). Suppose 4*p = -u - c, 5*u - 2 - 4 = -2*p. Let a be (-675)\/189 + 6\/(-14). Sort 1, a, u in decreasing order.\nAnswer: u, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + ((-932)\/54)\/(24\/(-27)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1)\/((-2)\/22). Let j(g) = 2*g - 43. Let i(b) = -b**2 + 8*b + 36. Let u be i(9). Let v be j(u). Is a equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 34*j + 213. Let d(r) = -2*r. Determine d(c(q)).\nAnswer: -68*q - 426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/1711 at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -63*l - 1. Calculate v(1).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291004161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*-12 + -2. What is the units digit of 38\/i + 5\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114453\/14 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 - -152. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 26026*p + 31 + 25969*p - 31 - 54*p**2.\nAnswer: 3*p*(p - 19)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**4*j))\/j)\/(j\/j**(2\/21)))**(-10)\/((j\/(j**(-1\/3)*j))**30*((j\/j**3)\/j)\/(j\/(((j*j\/(j\/j**(1\/2)))\/j)\/j))) assuming j is positive.\nAnswer: j**(2249\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 144, 503, 1234, 2469, 4340, 6979?\n\"Answer: 22*m**3 - 12*m**2 + m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*y - 58, -2*n - 5*y = -0*n - 30. What is the first derivative of -6*v - 107 + n*v**2 + 10*v - 3*v**2 - 5*v wrt v?\nAnswer: 14*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 20*c + 2*v - 58, -123 = -4*c + 3*v. Solve -c*o + 19*o - 33 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003193682 rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let n(m) = m**2 - m + 1. Suppose -13*k + 17*k = 16. What is the remainder when k is divided by n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 0 + 3110*r**2 + 0 - 3113*r**2. Let v(g) = -5*g**2. What is -5*v(q) + 8*z(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -2\/13, -3.8, -0.4, -5, 3, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 220*w**2 - 9*w - 5. Give n(-1).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 251?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*d - 9*d**5 - 9*d**5 + 19*d**5 wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(4\/(-8) - 0) + 1. Sort n, 5, 3 in ascending order.\nAnswer: n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198 * -0.26782\nAnswer: -53.02836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 25 = -q. Solve q*l + 4 = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2140 and 2620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80689848 is divided by 770.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3838 + 3841. Sort 4.2, 5, -2, g, 10 in increasing order.\nAnswer: -2, g, 4.2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496370 to the power of 1\/2, to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/9, 4, -2\/13, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 342\/66 + (-5)\/(-33).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*4*(-4)\/16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3340*m**2 - 3337*m + 3 = 0.\nAnswer: -1, 3\/3340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 176640.\nAnswer: 529920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, f: 2, q: 2, l: 4}. Give prob of picking 1 q and 2 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320110 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: -670524*-0.2\nAnswer: 134104.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3137936 and -5\/1176726?\nAnswer: 9413808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -6 (c) -592 (d) 10\/29 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - k + 3*a - 13, 5*a = -k - 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v - 234 = -3*x, 0 = 4*x + 8. What is the remainder when v is divided by (-1)\/(-2) - (-195)\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15866*b**2 + 3*b + 9019*b**2 + 8727*b**2 - 3*b. Let t(h) = 3*h. Determine t(n(c)).\nAnswer: 5640*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532615, -1065226, -1597833, -2130436, -2663035, -3195630, -3728221?\nAnswer: -4260808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4 + 570366*d**3 - 27111492180*d**2 + 162648420552*d = 0.\nAnswer: 0, 6, 95058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(-22)\/(-154)*(-7)\/((-966)\/(-9))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - -14. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296428 to the power of 1\/2, to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + 20. Suppose 2*v - 1 = w + 4, 3*w + 5*v = n. Calculate the smallest common multiple of (22\/(-6))\/(w\/(-15)) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Let m(w) = w - 5 + 7 - 2. Let x(o) = 2*o**2 - 3*o. Let h(n) = -3*m(n) - x(n). Calculate a(h(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 10. Let k be d(-8). Suppose -3 - k = -7*p. Suppose 0 = p*q + 2*q - 1430. Calculate the highest common divisor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -825 divided by -1?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3604*r + 18022. Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 34872535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k - 3*k + 19*k + 2*k to y + c*k and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*y - 75*y - 781 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 268 = -4*c. List the prime factors of c\/(-10) + 2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 1947.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -536, -805, -1074, -1343, -1612?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Let q = u + -5.6. Let z be -1 + 2 + 15\/(-9). What is the smallest value in q, z, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7948 and 141272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + i**3 + 0*i**3)*(i**2 - 3*i + 3*i) - 2*i**5 + 5*i**5 + i**5 - 3*i**5 + 4*i**5 - 3*i**5 + i**5 - 3*i**5 + 4*i**5.\nAnswer: 3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 434 - 20 = 0. Let n = b + -54. Let i(d) = 3*d**3 - 3*d**2. Let j be i(2). Calculate the greatest common divisor of n and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 507501 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36240 plus -3.93892?\nAnswer: 36236.06108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -2*c - 4*m - 159, -2*c - 368 = 181*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52790, -53396, -54002, -54608, -55214?\nAnswer: -55820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 23120?\nAnswer: -23120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**3 - 4*c**2 - 2*c. Let l be f(-2). Let m be (4\/(-6))\/(l\/(-486)). What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1912864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let z(o) = -o. Let q(l) = f(l) - 4*z(l). Let v(i) be the third derivative of i**5\/20 + i**2 - 16*i. What is q(v(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g + 8. Give o(-9).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2902 is divided by 104.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1989 - 7b94b?\nAnswer: -80607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**6\/15 - 6128*p**5\/25 + 588286*p**4\/5 - 312528*p**3 + 234090*p**2 + 5676. Determine q, given that w(q) = 0.\nAnswer: 0, 1, 765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58691 (b) -3\/2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*g = -361 - 1699 - 372 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*-1*(-24)\/(-90)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*(2 - 2 + 2 + 2*d).\nAnswer: 4*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 11*u**2 + 11*u + 12. Let z be y(12). Suppose -7*n + 3*n - 16 = z. Let p = 1 - n. Solve -2*f = 3*f + p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 + 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/5 + 8346*b**2\/5 + 23218572*b\/5 + 21531355768\/5 = 0.\nAnswer: -2782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95780401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159740 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: Factor 3*s**4 - 12*s**3 + 18*s**2 - 12*s + 3.\nAnswer: 3*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1298 (b) -1 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-450)\/(-21))\/(-10)*14\/4 and -95\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 56. Suppose -271 = -d*g + 1262. List the prime factors of g.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 333.\nAnswer: 56\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 3*i + 0*i - 2*i + 5*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/20 - (-1)\/2. Let j(u) be the second derivative of u**4\/12 + 3*u**3\/2 - 9*u**2\/2 - 5*u. Let k be j(-10). Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2. Let m(k) = 4*k + 14. Let s(i) = -i - 3. Let u(v) = -3*m(v) - 14*s(v). Determine u(p(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38799369749 from 5.\nAnswer: -38799369744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14528293)\/39 - 9)\/((-4)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -0.2, -12.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 24*z**2 - 20*z + 110. List the prime factors of m(-19).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4 - 11\/30*p**6 + 0*p**5 + 21*p + 0*p**2 + 0*p**3 + 0. Find the third derivative of w(r) wrt r.\nAnswer: -264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f - 0*f. Suppose 5*t + 4*i = 18, -5*t = -3*i + 4 - 8. Solve t*g - 3*d = -f - 0, -5*d = -20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3 (c) -2\/9 (d) 0.07025\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6321441?\nAnswer: 3, 7, 43003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26365.\nAnswer: 5, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4 + 70*b**3 - 868*b**2 + 1440*b = 0.\nAnswer: -45, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1025 + 5149\/5. Let y(x) be the first derivative of -c*x**2 - 5\/2*x**4 - 8\/5*x - 6*x**3 + 6. Solve y(d) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -38, 103, 334, 685?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830\/(-9360) - (-15 - 6462\/(-432))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let n(u) = u + 10. Suppose 2*i = 2*c - 8, -4*i - 12*c = -7*c + 43. Calculate the remainder when t is divided by n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 12*f + 4. Let l be i(-12). Let z be -7*-12*(2 - (-11)\/(-7)). Let d be (z\/54)\/((-1)\/(-6)). Solve -3 = n + s, -d*n - l = -0*n + 2*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 134294*h**2\/3 + 1502951300*h + 3005723544.\nAnswer: (h + 2)*(h + 67146)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:12 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = -11. Suppose 4*r - 56 = o, 2*r - 19 = -j*o + 31. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 2. Let t(x) = 1685*x + 2022. Give 1011*j(z) - t(z).\nAnswer: 337*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 3*o + 3*o + (-2 - 2 + 1)*(-o + 4*o - 4*o) - 2*o - 2 - 5 + 0*o.\nAnswer: 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -217, -505, -1, -33?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792648127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 9*y - 5. Calculate the remainder when 34 is divided by t(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 895*t = 850*t + 225. Let h(n) = 20*n**2 + 2*n + 1. Let s be h(-4). What is the third derivative of 586*i**5 - 21*i**2 - 303*i**5 - s*i**t wrt i?\nAnswer: -1800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166.690022694 - -166.69. Round c to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**25)**(-2\/5) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 32 - 20 - (-2 - -29) - -6\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 - 3*u**2 + 2*u - 2. Let f be h(2). Let q = f + -10. What is the least common multiple of q and (-2 - -3) + 7*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(1\/(-12)). Suppose 5*z = t*n - n - 68, n - 2*z = 22. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 5*y - 2. Let d = 0 - 5. Determine c(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.37394 decades to years.\nAnswer: 733.7394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p - 23*p - 2*p**4 + 2*p**4 - 8*p**4 wrt p?\nAnswer: -96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3313750 is divided by 74.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*n + 29049998 = 0, -2*n = 4*u - 6*n + 23240004. Round u to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*a + 2 = -a, -5*q + 12 = -4*a. Suppose -18 = -2*s + n + n, -q*s - 3*n = -22. Suppose -s - 2 = -9*p. Which is greater: 8\/17 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 421727 and -0.059.\nAnswer: -24881.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*x = 5024 - 1781. Solve -5*d + x = 32 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -665, -1469, -2587, -4019, -5765?\nAnswer: -7825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -589 - -245. Let n = 866 + d. Does 25 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-105*(-308)\/990)\/((-1)\/(-18)) is divided by 77.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 27*q - 1071. Suppose 0 = -79*n + 76*n + q. What is the highest common divisor of n and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, s: 5, n: 3, d: 4, g: 1}. What is prob of sequence dgas?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/4)\/(3\/684). Suppose -3*x = -0*x - z. Suppose 3*p + 2*p + 3*f - 187 = 0, -4*f - 42 = -p. Calculate the greatest common factor of p and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**3 - 543*v**2 - 613*v - 70. Calculate s(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 2) + (-5 + -891)\/(-4). Suppose 0 = 232*y - a*y - 1167. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 68 - 12. Suppose l*d = 10*d + 12. Solve d*k + 8 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1471065 and 766119.\nAnswer: 2913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540*-5.\nAnswer: -2700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 - -248. Suppose -p = -7*l + 296. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s - t - 9, -3*t + 3 = -s. Let i(w) = 3 - w**2 + s*w**2 - w - w**3 - 3 + 4. Let o(m) = -88*m - 1139. Let j be o(-13). Give i(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6062253 to the power of 1\/2, to the nearest integer?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-6*t**3 - t**2 + t**2) + 3*t - 3*t - t**3 + (-1 + t**2 + 1)*(-3*t + 3*t + 2*t) - 1 - 2*t**3 + 1 - 3*t**3 + 5*t**3 - 3*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 31. Solve 2*c - 25 = -5*g, g = -4*c - b*g + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/282*0\/(-3))\/(1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 15) to base 7.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s**3 - 3*s**5 + 12*s**4 + 0*s**4 + 2*s**3 = 0 for s.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-51))\/((-1)\/1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from villgpapa. What is prob of sequence gp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.12 (c) 2\/13 (d) -1\/5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-1)\/(-4)*6. Let x be 4\/(-6)*3*2. Let k(n) = n - 1. Let z be k(x). Sort 4, z, f in increasing order.\nAnswer: z, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.78 - 19. Let o = j - 0.18. Which is the second biggest value? (a) -5 (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 3. Determine h(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcog when four letters picked without replacement from {z: 2, f: 2, g: 1, o: 7, c: 1, r: 1}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-35)\/(-9) - (-83)\/(-747)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1359, 2716, 4073, 5430, 6787, 8144?\n\"Answer: 1357*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1778, 6672, 14682, 25808, 40050, 57408, 77882?\n\"Answer: 1558*f**2 + 220*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 893, 0, -0.3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29879, -3, 3, 1, 0.4, -4 in descending order.\nAnswer: 3, 1, 0.4, -3, -4, -29879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 1036032 = 118*h. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 15 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9631 + -0.0369. Which is the third biggest value? (a) 4 (b) 1\/15 (c) h (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2134 and 24926?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124777997 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 334851 and 9?\nAnswer: 1004553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82 + 30a0?\nAnswer: 301a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -569 less than 7231814522?\nAnswer: 7231815091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*y = 1026*y - 80*y - 20380 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(30\/(-8))*(13450\/(-19368))\/((-2)\/72)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11073 a factor of 1118417292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2 + 18165*o + 36318 = 0. Calculate o.\nAnswer: -6053, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -36.96. Let f = n + -23.96. Which is the third smallest value? (a) 0 (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31350 and 25050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 268. Let w = y + -63. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9100 or 9080?\nAnswer: 9080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.09, 1, 4, 668?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6 - -3 - (9 + -16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -326 - 5210023\nAnswer: -5210349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-2)\/4)*2. Let m(n) = 4*n**2 - 5*n + 4. Let h be m(2). Solve q*x = -4*g + 3, 5*g - h = -2*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715 - 715 + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 10 - -2) + 11 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -65, -13, -31, -138, -2 in decreasing order.\nAnswer: 3, -2, -13, -31, -65, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-171)\/(-399) - (-880)\/(-126) and -47\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -2 + 4\/3. Let p(i) be the first derivative of 1 + 1\/2*i**2 - 5*i + 1\/4*i**4 + g*i**3. Calculate p(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268624 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) -1\/14 (c) 18\/49 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i + 39197. Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -278.\nAnswer: 16.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:49 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -78*z + 7717. Let i be c(99). What is the closest to 1 in i, -0.0146, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-11)\/(z\/(z\/((z\/z**41)\/z)))*z**(-4\/5)*z**17\/z assuming z is positive.\nAnswer: z**(226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (2 - 2 - 2)) + 204 + -200?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, 1\/14112, 1392 in descending order.\nAnswer: 1392, 2, 1\/14112, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 196 - 208. Let x(y) = y**2 + 4*y - 87. Let l be x(w). Let b(p) = -p**3 + 8*p**2 + 8*p + 10. Determine b(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5\/16 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3129421485 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s - 55 = 0. Suppose 8*i + 31 - s = 0. Solve y = 2 + i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {x: 6, n: 4, l: 3, j: 2, k: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5501 + -0.0501. Let g(b) = -2*b - 4. Let p be g(-6). Suppose 5*v + 2*t = -0*t + p, 12 = -4*v + 3*t. What is the nearest to 6 in a, -0.3, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/2 - 15*j**4\/4 + j**3 + 33*j**2\/2 - 37*j\/2 + 21\/4 = 0.\nAnswer: -7, -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2064823.74 rounded to the nearest 1000?\nAnswer: -2065000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -20404.\nAnswer: 40808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*o**3 + 334*o**3 - 187*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.15 + 3.85. Let d = -0.149 - 9.851. What is the smallest value in d, q, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5001 + -2.4999. Let f be ((-1)\/(-2))\/(2\/12). Let x = 1.6 - -2.4. Which is the second biggest value? (a) x (b) -2\/3 (c) j (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 5 = -13*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 392854840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 0*d**2 - 2*d**2)*(-1 + 5 - 3)*(-453939*d**2 + 2 + 453907*d**2 + 0).\nAnswer: -64*d**4 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 100020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108627?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((36\/(-12))\/3))\/((-3)\/21)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 563363 (base 8) to base 15.\nAnswer: 3b54a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + 0 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 38. Which is bigger: 7\/6 or m?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 68*a**2 + 15*a + 2978. What is v(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:30 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 2. Let u be f(-3). Suppose 3*v - 3*l = l - 4, 0 = 3*v - l + u. Find the first derivative of 3 - 2*o**4 + v - 4*o**4 + 5*o**4 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-24)\/(m**(-34)\/m*m*m))**(-1\/6) assuming m is positive.\nAnswer: m**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 5*n**2 + 70*n - 84. Let c be b(-7). Solve c = 10*r - 6*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 36 = -4*x + 20, -x - w + 5 = 0. Let h(l) = 0 + x*l + 0 - 8*l. What is h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 5 (c) 3 (d) 38 (e) -0.4 (f) -721 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*s - 3*n + 4, 0 = 5*n + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - 3*p**3 + 6*p**2 - 4*p**2 - 1413*p + 1507*p to the form z*p + g*p**4 + b + q*p**3 + j*p**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -372\/2065 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 13*l**8\/336 + 3*l**6\/40 - l**4\/3 + 5*l**3\/6 - l**2 - 45*l. What is the second derivative of i(h) wrt h?\nAnswer: 260*h**3 + 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 820 - 18571?\nAnswer: -17651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8888397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 53.3, -11\/9?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2652*b**2 - 6215*b**2 + 1769*b**2 + 1775*b**2.\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42572 by -14.\nAnswer: -21286\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x**2\/3 + 61335*x\/2 - 229975\/6 = 0 for x.\nAnswer: 5\/4, 9199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 386*n**2*o**6 + n**2*o**3 - 594*n**2*o**2 - 3*n*o**2 wrt o.\nAnswer: 46320*n**2*o**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) 0 (c) 30\/19 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55362.\nAnswer: 2, 3, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 220*v + 23881. Give u(80).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(1\/11))**(-5\/9) assuming x is positive.\nAnswer: x**(-5\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6885\/(-1800) - 3\/(-15) - -4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + 3 - 10 - (35 - 40)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8343 <= 8354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.44881 + 10282.53881. Let g = -10215 + h. Let u = g + -52. Round u to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31226 is divided by 695.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/18 and 31\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81752 or -90732?\nAnswer: -81752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 3:38 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 121291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 495\/(-63) + -6*3\/(-2).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - b**2)*(-15983 - 23079 + 59104) in the form c*b**2 + n*b + u and give c.\nAnswer: -20042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, y: 3, k: 3, q: 6, b: 3}. What is prob of sequence kk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**3 - g**2 + g - 5. Let m(u) = -13*u**3 - 2*u**2 + u - 9. Let b(n) = 4*m(n) - 7*y(n). Let o be -12 + (50\/(-15))\/(3 - (-230)\/(-69)). What is b(o)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3758580221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-697)\/(-205) - (-1 + 2)*3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782753731?\nAnswer: 1723, 454297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3145 and 1615?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1461 and 18.\nAnswer: -26298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 356*l - 61 = -353*l, -6*l = 4*f - 14*l - 13 - 11 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m - 1\/9*m**3 - 2\/3*m**2 + 229. Factor d(i).\nAnswer: -i*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-319)\/715 - (-3)\/5. Let m = 0.02 - -0.08. Let b = m - 0.1. Put b, -1\/9, g in decreasing order.\nAnswer: g, b, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -34a07694?\nAnswer: 34a07690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*(26\/39)\/(9\/3). Solve x*d = 5 - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 374263 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4458694 - 0.2.\nAnswer: -4458694.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/42 - 56\/(-6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**2 - 3*a + 3. Calculate y(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 534681593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -48492 divided by 5388\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 2*g - 2 - 5*g + 4*g. Suppose 5*v + 8 = -2. What is the units digit of w(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 + 2*a - 2*a + (-3 + 4 + 1)*(2*a**2 + a - a) + 0*a**2 - 5*a**2 + 2*a**2 - 912*a + 6*a**2 + 912*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1216) + -1)*3 + 1)*-5*1 + 1)**2.\nAnswer: -84960*sqrt(19) + 9853081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 11:20 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-4) - (8 + 1313230\/(-169240)) and 65\/4.\nAnswer: 16924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (sqrt(392)*2)\/(sqrt(16)\/(sqrt(64) - sqrt(4))) + -3)*-2)**2 + -4)*-4.\nAnswer: -56576 + 4032*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 + 2.1. Let o be (-6)\/(7\/(-2) - -2). Let t = o - 9\/2. Sort r, t, 4 in descending order.\nAnswer: 4, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {n: 2, k: 11}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352.08 rounded to the nearest ten?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 506 + -591 + (0 + 1 - (32 - 37))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 34. Suppose -3*s - m + 24 = 0, -s - 4*s + 40 = k*m. Solve -4*v - s = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, g: 11, q: 4}. What is prob of picking 1 q and 1 e?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -18712292782957?\nAnswer: -18712292782956.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.234 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110210211102 - -11?\nAnswer: 110210211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 5, y: 2, p: 5, l: 3}. Give prob of sequence plp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/(-9) - -2 - 0. Let s = -1 - q. Put 2, s, 0.5 in descending order.\nAnswer: 2, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114321.\nAnswer: 3, 53, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 65*s**7\/7 - s**4\/6 + 1417*s**3\/6 - 2*s + 61. What is the second derivative of f(z) wrt z?\nAnswer: 7800*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/115*2 + (-2)\/(-2208)*42. Let b be 12\/(-16)*3522\/12069. Let o = b + -1\/298. What is the third biggest value in 0, q, o, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 7*q + 10. Let v be b(8). Suppose -o + 3 = v*o. Solve -o = 5*n - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2))**(-11) assuming s is positive.\nAnswer: s**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**3 + 14*y**3 + 10*y**3)*(5*y + 0*y - 3*y) + 0*y**4 - 2*y**4 + y**4 + (2*y**2 + 1 - 1)*(-y + y**2 + y).\nAnswer: 37*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165667 to the power of 1\/2, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2281.2 (b) 86 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 1)\/(-2)*1. Solve -2*w = -7*w + c*q + 3, 4*q + 4 = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 821*t**4 + 574*t**2 - 34*t**2 - 273*t**4 + 118*t**2 wrt t.\nAnswer: 13152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 832.\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:58 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d - d)*(419 - 104 + 270)*(-1 - 1 + 0).\nAnswer: 2340*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m**2 + 7*m - 4. Let r = 97 + -93. What is b(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.1. Let h = -53\/57 - -24\/19. What is the nearest to d in h, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from {w: 3, y: 9, d: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 149, 293, 437, 581, 725?\n\"Answer: 144*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6*k = 2*w - 10, -4*k = 12. Suppose -w*j + 620 = 8*j. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -16*s**4 - 4980*s**3 - 312204*s**2 - 383740*s - 76500 = 0.\nAnswer: -225, -85, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-18))**(4\/13) assuming j is positive.\nAnswer: j**(76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a microgram in nanograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3413838 and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(4) - (sqrt(84)\/sqrt(3) + sqrt(7)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 542 + 1235?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21*39\/(-182))\/(6\/8). Let l be (-6)\/4 - 42\/(-12). Solve -a*d - 16 = l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31543 or -31551?\nAnswer: -31551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82348 by -173.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 8*w**2 + 8*w + 11. Let g be l(-7). Suppose 0 = r + g*r - 50. Let p be (-2)\/(-4) + (-17)\/(-2). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccv when three letters picked without replacement from {d: 5, v: 3, c: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -11, -2148, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22426878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70, -14, 68, 182, 334?\n\"Answer: l**3 + 7*l**2 + 28*l - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 2 + sqrt(832) + -4)**2 - (sqrt(1573) + (sqrt(1573) + 2)*1 - sqrt(1573))**2.\nAnswer: -108*sqrt(13) + 1755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 - -208. Solve -w + 2*r = -9, -3*w - z = -3*r - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/7 + 130*f**4\/7 + 1450*f**3\/7 + 3750*f**2\/7.\nAnswer: -2*f**2*(f - 75)*(f + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4 = -6. Let y = w + 23. Let h = y + 10. What is the highest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 124, 108, 76, 22, -60, -176, -332?\n\"Answer: -v**3 - 2*v**2 - 3*v + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-14))\/((-10900)\/(-1464960))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14495568.\nAnswer: 2, 3, 301991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -712, -1067, -1422, -1777, -2132?\nAnswer: -2487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 73. Suppose 0*l - 15*l + 292500000 = w. What is l rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/120 and -31\/1656.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -41. Sort y, 0.3, 1\/4.\nAnswer: y, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/x**1*x)\/x)**(-15)*x**4*(x*x**(2\/25))\/x*(x**(-2\/15)*x*x\/(x*x**(-1\/3)))\/((x\/(x*x**(-2\/7))*x)\/(x\/((x**(3\/4)\/x)\/x))) assuming x is positive.\nAnswer: x**(-16629\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58141?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 100\/24 + (-30)\/(-20) - 4\/(-3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133058 by -5.\nAnswer: -133058\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15967 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 200*n**2 + 4*n + 800.\nAnswer: -(n - 2)*(n + 2)*(n + 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4357 - -2437. What is w rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*c + 10, 13 = -c - 4*y + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 g when three letters picked without replacement from wzggwwggwcgzgwgggww.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + a + 2*a + (-3 + 3 - 2)*(-a + 5*a - 2*a))*(21 - 8 - 79*a - 14) in the form v*a**2 + o + f*a and give v.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 u when three letters picked without replacement from qqqquqququqqquuuqq?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22165562 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (593*i - 135*i + 30*i)*(-i**3 - 2*i**3 + i**3)*(0 + 0 + 2*i).\nAnswer: -1952*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 68*p**2 - 17*p + 1219. Is z(68) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 + 3*r**2 + 4*r - 3. Let o = -3870 - -3873. Let p(u) = 11*u**3 - 5*u**2 - 7*u + 5. Give o*p(h) + 5*d(h).\nAnswer: 8*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 570\/171*(1 + 2). Let t(d) = 423*d + 211. Is t(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 + i**2 - 5*i**2 + 5*i**2 + 4*i**2 + (-i - 5 + 5)*(i - 1 + 1))*(-2*i + 7*i + 2*i).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 10 - 55 - (2 - (2 + 9))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*j = 120, -j - 72 = -3*m - 6*j. Let p = -24 + m. Solve k = -4*o - 13, p*o = 5*o - 4*k + 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/((-9)\/(-12)). Let t = z + 12. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 58. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*c - 3*c + 5*u, -u - 6 = -2*c. Let g be c\/10*(5 + -1). Suppose 2*z = g*x - 6*x + 40, 3*x - 30 = 3*z. Solve -5*t = -x - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32395 by 6479.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -11771 (c) -1\/20 (d) 0.3 (e) 6\/5 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (0 - 10)) + 11 + -2 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11480 - 11480 + 4*p. Let k(r) = -52*r - 2. What is f(k(q))?\nAnswer: -208*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6373146707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*s = 111*s - 126. Let u be -5 + (s\/27)\/((-1)\/(-33)). Solve 0 = 20*w - u*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1043\/298)\/(7\/444). What is the highest common factor of 111 and j?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u + 97. Determine q(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310366 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/4 - 371675*t - 1486680.\nAnswer: -5*(t + 4)*(t + 297336)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -0.06 (b) -0.3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) -1 (c) -48\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216180 and 2204.\nAnswer: 119115180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*b + 352, -2*b + 139 = -b - 4*c. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a meter in centimeters?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {s: 11, f: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + 6*(-2*sqrt(180) + -1))**2.\nAnswer: 720*sqrt(5) + 25945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -15*x. Let p(f) = -23*f**2 - 17*f**2 - 27*f**2 + 74*f**2. Calculate j(p(c)).\nAnswer: -105*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1038430, -1038431, -1038432, -1038433?\nAnswer: -1038434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10874.37582ns in weeks?\nAnswer: 0.00000000001798011875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (4 - 5) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59171766 rounded to 3 decimal places?\nAnswer: -1.592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83*q**6 + 350*q**5 + 58*q**2 - 42*q + 2 wrt q?\nAnswer: -9960*q**3 + 21000*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 6:32 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 34456?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -299*w**2 + 91*w + 91. Let v(i) = 10*i**2 - 3*i - 3. Give 3*f(h) + 91*v(h).\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 783491 * 26\nAnswer: 20370766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + (-4)\/(-14). Let a = 2 + r. Calculate the remainder when (40 + 2)*a\/2 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31222 + 212?\nAnswer: 31434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(770\/7)*((-6)\/(-15)*20 + -56).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22582)\/(-7189) + (0 - 3). Let f = -1\/79 - s. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -5 - -20) + 4 + -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 265730 to the nearest 1000.\nAnswer: 266000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38944*v + 38948*v - 82 = 3*x, 2*x + v + 40 = 0 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 4. Let d be (-2)\/m - (-31729503)\/27. Let g = -75167 + d. What is g rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 10. Sort k, 1, 5 in increasing order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31918228?\nAnswer: 2, 73, 281, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 863 or 52?\nAnswer: 863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-8))\/((-2)\/12). Let l = -11\/6 + b. Let u = 0.0407135 + 3.9592865. Sort u, 4\/7, l in descending order.\nAnswer: u, 4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17990*-0.3.\nAnswer: -5397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 829 divided by 44\nAnswer: 829\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1374, -1375, -1376, -1377, -1378?\n\"Answer: -a - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 3*f**2 - 3*f + 3. Calculate the smallest common multiple of w(2) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 810*n - 110. Let x(c) = -58*c + 8. What is -4*i(u) - 55*x(u)?\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5136571 litres?\nAnswer: 513.6571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 1, g: 1, t: 1, n: 2, a: 2}. What is prob of sequence pt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**(-6\/11)*f)\/f*f)\/f**5*f**(-4)\/f*f**(-8)\/f)**(-11))**(-5\/13) assuming f is positive.\nAnswer: f**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -1071*z + 9. Let f(m) = 1066*m - 11. Determine -5*f(h) - 6*j(h).\nAnswer: 1096*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, 612, 678, 456, -150, -1236, -2898?\nAnswer: -5232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -6) + (-9 - 0). Let b = 45 - 30. Let x = i + b. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*p = 3*p + 7768 + 782 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 5*p + 2. Let r(s) = -s**3 - 4*s**2 - 4*s - 3. Let i be r(-4). Suppose g + 3 = i. What is the smallest common multiple of g and m(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-9.\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 226249 and -0.5?\nAnswer: 226249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 - 2\/(-9). Suppose y + k*y = 20. Calculate the remainder when 4\/5*(-5)\/(-3) - (-1136)\/12 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = n - 4, -14 = 2*a - 5*n. Let c be (4\/12)\/(a\/27). Suppose -7 = -5*x - w, 0 = c*w - w + 6. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 a when three letters picked without replacement from aaaasaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24941.78 kilograms to milligrams.\nAnswer: 24941780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, n: 1, s: 1, j: 1, v: 1}. What is prob of sequence pvn?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/8 and 151\/119736672.\nAnswer: 119736672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + -1 + 2 + 6*(-1 + sqrt(432)))**2.\nAnswer: -960*sqrt(3) + 27673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352622 is divided by 155?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 0 + 0 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86227\/984 + -701\/8. Let z = y + -2030\/123. Let l = 3799 - 53103\/14. Calculate the common denominator of z and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157 - 106. Let c = f + -51.000046. Round c to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + 18. What is the least common multiple of (73 + -64)*(-8)\/(-3) and j?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -33*v + 507. Let m(f) = -f**2 + 3*f + 4. Let u be m(4). Let x(w) = w + 18. Calculate the smallest common multiple of z(15) and x(u).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 777 = -2*f, -2*i + 5 = -2*f + 313. Suppose -4*w = -9*w - 3*n + 1633, -2*w + 4*n + 648 = 0. Let a = w - i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 2*w - 1. Let g = -16 + 7. Calculate the remainder when f(4) is divided by ((-9)\/6)\/(g\/48).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 16 = 0. Let a(x) be the first derivative of -6*x**2 - 15*x + 50. Let j(s) = 3*s + 4. Let u(g) = p*a(g) + 15*j(g). Calculate u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**3 - 6*t - 6*t**3 + 22*t**3 - 20 - 6*t**3 + 2*t in the form m + l*t**3 + s*t**2 + z*t and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 15*w**2 + 2*w - 18. Let k be u(15). What is the highest common factor of 18 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -42. Solve -4*l + g*m + 9 = -4, -m + 4 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271296 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3, 6 in descending order.\nAnswer: 6, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-66))\/((-4)\/(-3)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/6))\/v)**40 assuming v is positive.\nAnswer: v**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3547203657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5))**50\/((f*f**(-11\/2))\/f**(3\/10)) assuming f is positive.\nAnswer: f**(-1226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.356 - -12.04728. Let b = -5.77 + a. Let f = -0.08 - b. What is f rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*s + 98*s + 97*s - 296*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2292817, -2292783, -2292751, -2292721, -2292693, -2292667, -2292643?\n\"Answer: -p**2 + 37*p - 2292853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/5 (b) 4 (c) 2\/3 (d) -7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22 + 11*s**4 - 22 + 10 wrt s?\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*f + 25 = 350*f. Solve f*u + 2 = 7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 11, -48 in increasing order.\nAnswer: -48, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/(-1690)*(3\/24)\/((-3)\/(-12)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1248, -3369, -6362, -10227, -14964?\nAnswer: -20573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 1050\/(600\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8 and (-6)\/(-9) - (2 - (-874)\/(-336)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 82128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -7*(-2310)\/(-539)*(2 - 884\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251572186.\nAnswer: 2, 23, 2591, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let p(a) = -13*a - 3. Give -p(c) - 5*q(c).\nAnswer: 8*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13.19 times 1.4\nAnswer: 18.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.3. Let i = -203.9 - -204. What is the closest to i in -1\/9, -1\/2, x?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 120666?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -124587, -250725, -376863?\n\"Answer: -126138*r + 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/4 + 2)*0 - 0. Solve w = f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 5*x**2 - 1. Let n be i(-5). Let r be (-14)\/(-4) - (-4)\/8. Put n, r, 6 in decreasing order.\nAnswer: 6, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2 + 5 - ((2*sqrt(6) + sqrt(6))\/sqrt(2) - sqrt(3)))**2 - (sqrt(3) + 0 + 5)*5.\nAnswer: -45*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 16. Let p be g(11). Let h = p - 0. What is the common denominator of 44\/h + (-8)\/20 and 99\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 6*t. Let c(m) = -4*m. Calculate c(p(l)).\nAnswer: 8*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 503\/504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60.07 and -0.3?\nAnswer: 18.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - k = -9, -81*k + 78*k = -3*d - 3. Let i = 5 - 5.6. Let t = 0.2 + i. What is the third smallest value in t, d, -23?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/42)\/((-6)\/(-63))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)\/sqrt(32))**2 - (sqrt(121) + sqrt(121)*-1)\/sqrt(11)) + ((sqrt(275)*-1)**2 - sqrt(275)) + -3)*5.\nAnswer: -25*sqrt(11) + 5495\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 + -12313?\nAnswer: -13133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, o: 1, t: 6, v: 1, r: 4}. What is prob of sequence ettv?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 12*s - 8*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(90) + 3*sqrt(90) + sqrt(90)))\/(-3*3*sqrt(320)).\nAnswer: -25*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 8*v. Calculate s(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 8 = -7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjjejzjeejq. Give prob of picking 1 j and 1 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 20. Let i be (-1)\/(3\/r - -1). Suppose -5*h + 241 + 58 = -4*j, -2*h = -i*j - 120. What are the prime factors of h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 4*r**3\/3 + r**2\/2 + 3*r + 1. Let k(g) = g**2 + g + 1. Calculate 2*k(h) - x(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4 + (-3 + 0 + 1)*(-1 + 3 - 4) - 5 + 5 - 9 + 4 - 5 - 1)*(70 - 70 - 39*o)*(6*o**3 - o**3 + o**3).\nAnswer: 1404*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 25\/2*u**3 + 1\/20*u**5 - 15\/2*u**2 + 5\/4*u**4 + 0*u - 4. Let f(t) be the second derivative of s(t). Factor f(d).\nAnswer: 3*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 7:25 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.40786 minutes to hours.\nAnswer: 2.890131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = 5*v, -57*v + 15 = -58*v + 3*i. Is 71 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8 + 142*z - 1 - 173*z + 615*z**3 wrt z.\nAnswer: 3690*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 889615625 to the power of 1\/3, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3880, -7761, -11642, -15523, -19404?\n\"Answer: -3881*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -113 and -0.0453.\nAnswer: 5.1189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 59*o**2 + 799*o. Give s(38).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 5*o - 27. Let i be z(8). Let a be (2 + i)\/(2\/(-6)). Solve a*h - 1 = -10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*n + 51, -4*n - 26 = 3*x - 5*x. Let l(b) = b**2 + 9*b - 1. Let z be l(n). Is z bigger than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9204034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 11 - 8 + 0*n. Let d be w(-4). Let y(s) = 11*s**2 + s. Calculate the least common multiple of 12 and y(d).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-27))\/(306\/(-27)*6\/(-24))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -5 + 2 + 20 + -12. Solve -n = k*n + 56 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:54 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 0.4, -2, -2\/3, 1 in ascending order.\nAnswer: -2, -2\/3, 0.4, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/3, -2, 3, 175, 2, 7330 in descending order.\nAnswer: 7330, 175, 3, 2, -2\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + 0. Suppose 2*a - n = 3*v + 11, -4*a + 5*v = -75. Solve m + a = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:09 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 337685045 to the power of 1\/2, to the nearest integer?\nAnswer: 18376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c - 430 + 1886. Calculate the remainder when 424 is divided by c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4000949 (base 10) to base 12.\nAnswer: -140b445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 248 - 47. Does 67 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t - 2. Let b(z) = 5*z - 1. Let d be 2\/(4\/10) + 2. Let r(g) = d*b(g) - 6*x(g). Differentiate r(v) with respect to v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14161 + -14156. Sort -8, -1\/37, a, -0.5, 4 in increasing order.\nAnswer: -8, -0.5, -1\/37, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 + 445*i**2 - 112*i + 99. Calculate x(111).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(252))\/((sqrt(192)\/sqrt(12))\/sqrt(4))*1)**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2. Let f(v) = -v - 2. Let z(l) = 6*f(l) + 5*k(l). Calculate z(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 6*v + 5*v)*(-2 + 1 + 2).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-1 - -1 - -42). Let s(p) = 5*p**2 - 72*p - 65. Let c be s(15). Let d = m + c. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 683857844.\nAnswer: 2, 17, 89, 112997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773302118 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c6d (base 15) in base 5?\nAnswer: 301203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 6945 - 608 + 210.\nAnswer: -z - 7343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110584 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -417 - -697. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = 41*p - 34 + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 2*h + 0*h + (-5 + 5 + 2)*(-4*h + 0*h + 2*h) - 2 + 5 - 1 - 2*h.\nAnswer: -7*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/((-100)\/(-15)))\/((-11)\/(-132)). Solve -12*h = -20*h + r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26961, -52493, -78025, -103557, -129089, -154621?\n\"Answer: -25532*d - 1429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 10*w + 3*w**2)*(0 - 1 + 0)*((4 - 2 - 5)*(-6 + 3 + 1) + (3 - 2 + 1)*(3 - 6 + 4)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:41 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2*n - 17 = 7*b, -2*n + 13 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150713707 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -19*o - 211. Let w be m(-13). What is the greatest common factor of 20 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114800 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140 - 115. Solve y - 2*p - 13 = 0, -4*y - 2*p = -9*y + x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 4*z - 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)\/i**(-2\/5))\/(i\/i**0)**(-13\/2) assuming i is positive.\nAnswer: i**(133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -f - 8, 0 = -0*f - 2*f + 8. Let c(v) = v**3 + 5*v**2 + 5*v + 1. What is c(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 2, a: 3}. What is prob of sequence awa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 + 4*s + 2. What is k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075 a factor of 408049425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*((u**(-2\/25)\/u)\/u)\/u*u*(u**(9\/2)*u)\/u*u**1\/(u*u**6) assuming u is positive.\nAnswer: u**(-129\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 17.09. Let g = 0.01 - r. Is -2\/17 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w + 0*w - 2*w + 3. What is the tens digit of y(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 25, 4*r - 33 = 2*u + 3*u. Let x(o) = 74*o**3 + o**2 + 2*o + 1. Let s be x(r). Let w = -961 + s. Round w to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 - 2*a**3 + a**3)*(a + 4*a**2 - 3*a**2 - 3*a) - 176*a**3 + 176*a**3 + 5*a**5.\nAnswer: 9*a**5 - 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y - 3*y)*(-30 + 5 - 55) + 1 - 8*y - 1 - 4*y + 4*y + y.\nAnswer: 153*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 6. Let y(x) be the third derivative of x**5\/60 - x**4\/3 + 4*x**3\/3 - x**2. What is the units digit of y(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8096484792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (18 + -26 - (6 - 15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vto when three letters picked without replacement from {o: 7, t: 4, v: 4, k: 3, g: 1}?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84 - -86. Solve 2*a = -4*c - 15 + 5, -f*c = 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 + 9 - 25) + 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + ((-9)\/(-6))\/(270\/100)*9. Find w, given that -1\/4 + 1\/2*w - 1\/2*w**j + 1\/4*w**4 + 0*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 48, 88, 144, 222, 328?\n\"Answer: j**3 - j**2 + 26*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 1\/30*i**6 + 4\/3*i**3 - 1\/10*i**5 + 89*i + 0*i**2 - 1\/3*i**4 - 2. Let q(j) = 0. Calculate j.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46926423*a**2 - 51450143 wrt a.\nAnswer: 93852846*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 17\/(102\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -1)\/((-1)\/(-121)). Let l be g\/(3 + -1 + -3). Let i = -67 + l. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814794077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (23\/(138\/324) + -11 - -12)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2322)\/189)\/(-43))\/((-176)\/462)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 6*v + 8. Let n be z(2). Suppose n = 17*o - 115451 - 74898. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-22)*h)\/h*h**(-44)*(h\/h**(2\/13))**(-41) assuming h is positive.\nAnswer: h**(-724\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = 4*p, p + 16 = 4*i - 9*i. Let m = i - -13. What is the smallest common multiple of 7 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*g + 111 = 5*g, 4*g = -2*h - 68. Let z = -32 - h. Suppose 6*r - z*r - 176 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13, 2, -4, 3, 0.5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + f = -22, -m - 2*f + 7*f = -14. Solve w = 3*w + 3*z - 5, 0 = w + m*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141816423.\nAnswer: 3, 7, 101, 66863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 110*l - 1230. Give w(11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.227054539 to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 + -2 + -3 + 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 + 3*p**3 + 5*p**2 + 18*p - 231. Calculate the remainder when 125 is divided by f(10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f*f**6)\/f))*f*f**(1\/3))\/((f\/((f*f*f\/(f**(-7\/4)\/f)*f*f)\/f))\/(f*f**(14\/3)*f*f)) assuming f is positive.\nAnswer: f**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1050)\/(-200)*-15)\/5\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oopo when four letters picked without replacement from oforpopfppfproo.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -611\/795 - -27\/265. Let w = -6.4 - 24.6. Which is the nearest to d? (a) w (b) 5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r = -128*r + 828. Calculate the remainder when 1097 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2161784 divided by 156\nAnswer: 540446\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + o**2 - 4)*(-3 + 0 + 0)*(91 + 76 + 18)*(1 + 0 - 3).\nAnswer: 1110*o**2 - 1110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -326636? (a) 0 (b) 1\/3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/3 - 136*n**4 - 7262*n**3\/3 + 5248*n**2 - 8075*n\/3 = 0.\nAnswer: -19, 0, 1, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -4 (c) 19\/4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135331 + -63?\nAnswer: 135235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 13*t = 24. Suppose 3*s = -t, -5*m + 0*s - 3*s + 188 = 0. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71041386 by -35520693.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 306553, 613103, 919651, 1226197, 1532741, 1839283, 2145823?\n\"Answer: -x**2 + 306553*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 < -364115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 0, -1, 8, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (-1*sqrt(125) + -5) - sqrt(125))**2 + sqrt(125).\nAnswer: 55*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**2 + t + 2. Let r be f(-3). Let a = 873\/7 - r. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (9 + 18)\/((-3)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8746, 8802, 8894, 9022, 9186, 9386?\n\"Answer: 18*s**2 + 2*s + 8726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/34992 and 167\/254016.\nAnswer: 6858432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 577976 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 20*p**3 - 17*p**2 - 38*p.\nAnswer: -p*(p - 19)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxtabbnn. What is prob of sequence ax?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2. Let c(f) = -3*f**2 + f. Calculate -5*c(b) - 4*x(b).\nAnswer: -b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-3 + 0 + 5)*(-2*g - 18*g - 3*g).\nAnswer: 46*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 101?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/35, 4, -64, -3, 4\/7, 1\/4.\nAnswer: -64, -3, 2\/35, 1\/4, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 5 + (-18 - -10) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555491 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6510 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -21?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncccgrcrpnnrnrnnrr. Give prob of sequence cgpn.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4602 - -2685. Let f = x - -4819. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 331.\nAnswer: -74\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.319 + 0.009. Let r be (-2 - -1)*-3 - (9 + -8). Let v be (r + 7\/(-2))*(-12)\/45. What is the closest to v in 2\/3, -0.2, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-9)*((-54)\/(-12) + -6). Solve 5 = -c + i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2486269451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*i + 46*i - 19*i + 555)*(-2*i + 6*i - 3*i).\nAnswer: -i**2 + 555*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = w - 23 + 1, 4*w - 13 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 - 2*h**2 + 9*h**2 + (2*h - h - 3*h)*(2*h - 4*h - h) + 2*h**2 - h**2 + 0*h**2)*(2 - 3 + 0) in the form v*h**2 + i*h + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 11724095 and -0.4.\nAnswer: 11724094.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty ninths of a hour?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 41 = -t, -4*t = -8*t + 4*p - 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -356, -502, -648, -794, -940?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 9*x - 6. Suppose -63 = 5*q - 48. Determine o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15 - 43*x**3 - 9*x - 9*x**2 + 24 + 26*x**3. Let p(d) = 8*d**3 + 4*d**2 + 4*d - 4. Give 4*i(l) + 9*p(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 0.2, -4\/23, 1\/8, -369802?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3704, 6406, 10906, 17204, 25300, 35194?\nAnswer: 46886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-3945)\/60. Let g = o + -49. Suppose 3*s - 5*c - g = 0, 2*c = 5*c - 15. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 222*h**2 - 2*h + 2. Let b(g) = -1111*g**2 + 11*g - 11. Determine -4*b(z) - 22*k(z).\nAnswer: -440*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35 + -3958.7.\nAnswer: -3958.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 = 18. Suppose 3*o - 16 = -2*f, 3*o - g*f = 21 - 0. Suppose d = o*d. Solve d = -r - r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (113 - (-102 + 93)) + -82.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - a + 13 + 0*a - 8*a + 0 + 6*a.\nAnswer: -a + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20969 - -20969. Put w, -3, -9959, 5 in increasing order.\nAnswer: -9959, -3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -4.7. Let r = 1 + u. Suppose 5*z - 3*p - 40 = 0, 3*z - 3*p - 16 = 14. Put 0.4, r, z in decreasing order.\nAnswer: z, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 207*o**3\/4 + 51*o**2\/4.\nAnswer: 3*o**2*(o - 17)*(4*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:37 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 - (0 - (-1 - -4 - 14)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 4*y**2 + 9*y - 11. Let k be z(5). Let x = k - 49. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 145 = -o - 3*o, -3*q + o + 125 = 0. Suppose 5*m - 120 = -k, -2*k + 44 = 4*m - 46. What is the remainder when q is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*q**5 - 9844*q**3 - 2802182*q**2 wrt q.\nAnswer: 1800*q**2 - 59064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194620?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8673b - -1038?\nAnswer: 87777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**3 - 220*z**2 + 98*z**2 + 122*z**2.\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1362110600 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960133705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h*t**4 + 10555*h*t**2 + 873383*h wrt t?\nAnswer: -12*h*t**3 + 21110*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 4, 9, 7.\nAnswer: -2, 0, 4, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 262067 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30250 - -30420. Calculate the highest common divisor of 19295 and c.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvqvqvvq. What is prob of sequence qqv?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) -29 (b) 9 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l - 73. Does 27 divide t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*(sqrt(5) + 1*sqrt(5) + 3)*-3)**2.\nAnswer: 312*sqrt(5) + 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 878591, 1757323, 2636055, 3514787?\n\"Answer: 878732*r - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/27 and (0 - 18631)*77\/240009 - 6\/(-1).\nAnswer: 28053","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11705, 13897, 16089, 18281?\nAnswer: 20473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1298 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 317, 1301, 2933, 5207, 8117, 11657, 15821, 20603?\n\"Answer: -s**3 + 330*s**2 + s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 619498939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 8:39 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 6. Let i = -3.5 - -3. What is the third smallest value in 0.3, r, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2, 14, -11\/4, 0.3, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1867, -3733, -5599, -7465?\nAnswer: -9331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 103*m**5\/60 - m**3\/2 + 2*m**2 + 1752*m - 1. Let v(g) = 8*g. Determine h(v(o)).\nAnswer: 6592*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100001 (base 3) to base 2\nAnswer: 11110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 148. Let q = a + -66. Suppose 4*i + 2*s - s = 11, 0 = i - q*s - 29. Solve 4*u + 8 = 0, -x + 0*x - i*u = 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*t = 2*t - 62, -2*w - 25 = -t. Suppose -4*l + 28 = 4*v + 68, -3*l - 28 = 2*v. Let u = l - w. Solve u*j - f - 9 = 0, -2*j - 5*f = -0*j - 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 824 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, b: 4, d: 1}. What is prob of sequence bdb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - (-3364)\/58)\/((-6)\/17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1259*i + 78403. Determine s(62).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7986 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1118.99 + -1119. Sort 0, h, -15 in descending order.\nAnswer: 0, h, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2396*a + 9690 = -16666 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1473450.\nAnswer: 2, 3, 5, 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 528859, 2115831, 4760785, 8463721, 13224639?\nAnswer: 19043539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*f - 29. Let c be 1456203\/f + 22\/(-44). Let h = -411898 + c. Round h to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-132)\/(-77))\/(2\/14). Put -1, o, -47 in increasing order.\nAnswer: -47, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -420\/22081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 180940639 + -527.594\nAnswer: 180940111.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a factor of 50531460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + -1 + 2 + (sqrt(75))**2*-4).\nAnswer: -5*sqrt(3) + 1495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1885 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040453869?\nAnswer: 7, 13, 11433559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1171*r**3 + r**2 - 3*r + 10. Let c be t(2). Let k = -4879 - c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43075 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/7 and 41\/3060?\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*y + 2 - 16, 4*y - 2*b = -4. Let g(f) be the first derivative of 0*f**y - 5 - 1\/10*f**4 + 0*f - 4\/15*f**3. Factor g(u).\nAnswer: -2*u**2*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzzf when four letters picked without replacement from {r: 2, z: 4, f: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4221 = 3*v, -44 + 40 = 2*j. Is v less than 1410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/((-225)\/(-3590)) + (-2)\/(-5). Calculate the greatest common divisor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 630761040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387337594?\nAnswer: 2, 7, 83, 333337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 + -40. Let w = -33 + i. Solve 18 = -2*p - 3*r, p = w*p + r + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 6*c = -x - 39178, 5*c - x - 48972 = 0. Let h = c - 6543. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323748 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -g + 9, 4*q + g + 3 = 5. Which is the second smallest value? (a) q (b) -0.5 (c) 2\/7 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-206\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + 3*r**2)*((-2 + 6 - 1)*(7*r - 7*r - 11*r) + 1 - 1 - 11*r).\nAnswer: -132*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6687\/11 + 609. Suppose -4*v + 14 + 17 = 3*c, -3*v + 48 = 5*c. Calculate the common denominator of (-5)\/(-1 - c\/(-5)) and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqyyqyqqyxqqxqyyy?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/14*((-4)\/4*2)\/(200\/(-80)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/374678 and 25\/2.\nAnswer: 374678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/100*(-15)\/126. Let f(z) be the third derivative of -z**2 + 0 - 1\/60*z**5 + 0*z + 0*z**4 - w*z**7 + 1\/60*z**6 + 0*z**3. Factor f(y).\nAnswer: -y**2*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 23 = 2*x. Let p = 11 - -11. Suppose 210 = -x*h + p*h. Calculate the highest common factor of h and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1442 and 742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1 (c) -374 (d) 1.233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/24*(-120)\/(-15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -572 divided by -2?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5a + -5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -22. Let m(c) = c - 6. Let q be m(4). Let l = v + q. What is the lowest common multiple of 7 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtr when three letters picked without replacement from rttrrrr?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:18 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71425 and 2975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**4 + 39*m**3 + 478*m**2 + 837*m + 388. Let q(c) = -5*c**4 + 118*c**3 + 1435*c**2 + 2512*c + 1168. Let p(s) = -3*q(s) + 8*t(s). Factor p(j).\nAnswer: -(j + 1)**2*(j + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 take away -836?\nAnswer: 835.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -13863 - 2421. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 19418?\nAnswer: 1\/19418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 - -127. Let y(k) = -4*k**2 - 4*k**2 + k**2 - 7 - 2*k - k**3. Is y(z) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 5*b**2 - 5*b**2 + (5*b**3 - 7*b**3 + 0*b**3)*(2 - 2 - 2*b) to f + y*b**3 + z*b**2 + k*b**4 + q*b and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94000964?\nAnswer: 2, 23500241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 9. Let h be z(-4). Suppose -3*t = -h*v + 29, -10 = -v + t + t. Suppose v = -0*m + 4*m. Is m at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**2 - 64376580*o = 0.\nAnswer: -12875316, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {z: 1, e: 1, x: 2, g: 1, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbw when three letters picked without replacement from {w: 2, b: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 202 * 163.\nAnswer: 32926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207258, 828445, 1863766, 3313227, 5176834, 7454593?\nAnswer: 10146510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/210 and -193\/2100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7799\/12 - -655. Calculate the common denominator of ((-132)\/16)\/((-12)\/28*3) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*q - 2\/3*q**4 - 4\/3*q**3 - 2\/3*q**2 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**2 + m. Determine u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (530\/(-212)*(-3)\/5)\/((-300)\/(-16))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k + k**3 - 7*k**4 + 6*k**4 + 0*k**2 - 2*k**2 + (0 - 2 + 1)*(10*k**4 + 0*k**4 + 8*k**4) + 18*k**4 + 12 - 12.\nAnswer: -k**4 + k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6)*0\/(-1). Suppose d = s - 6 + 3. Suppose 1\/3*z + 1\/3*z**s + 0 - 2\/3*z**2 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one fifths of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 2952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 139.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v - 2*v + (1 - 2 - 1)*(-2 + 2 + 2*v) + (4 - 5 + 0)*(-v - 2*v + 5*v) + 2 - v - 2)*(-1 - 5 + 3).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*f = 4, 4*n - 13 - 1 = 2*f. Suppose 0 = 8*s - 2*s - 36. Solve c = n - s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 331712946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38\/201, 36, 2\/3 in descending order.\nAnswer: 36, 2\/3, 38\/201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {f: 1, z: 1, x: 2, d: 1, e: 1, y: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 150 = 2*b. Let v = b + 94. Suppose 9*c = 4*c - 4*s + v, -8 = -c + 5*s. What is the remainder when 51 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(1\/8)\/m*m)\/m))\/m*m\/(m*m*m**(-5)\/m))\/(m**(-20)\/((m**(-4)\/m)\/m*m)) assuming m is positive.\nAnswer: m**(159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33*-0.16.\nAnswer: -0.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) -4 (c) 3\/2 (d) -0.6 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54761274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (606*z**2 - 23443*z + 23443*z)*(5 + 1 - 3 - 1) as u*z**2 + i + x*z and give u.\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -10212010201?\nAnswer: 10212010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3415*k - 1066. Let u(i) = -3*i - 1. Let s(b) = 2*u(b) - 2*v(b). What is the first derivative of s(q) wrt q?\nAnswer: 6824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-15)*900\/(-240)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 = 0, 0 = 6*x - 3*x + 5*m - 2158. Factor a**5 + a**3 + 14*a**3 + 4*a - x*a**2 + 734*a**2 + 7*a**4.\nAnswer: a*(a + 1)**3*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.294 - -16. Let y = 184.706 - c. Let g = 185.00000117 - y. What is g rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -600, -887, -1174, -1461?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*s - 3*f, -s = -2*f + 4 - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 330*u - 9. Let v be q(8). Let n be 6\/21 - v\/21. What is the common denominator of 31\/6 and ((-285)\/n)\/(8\/10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - j**2 + j**2 + (j + 4 - 4)*(1 - j - 1) - 2*j**2 + 3*j**2 - 2*j**2 + (-3*j**2 + 4*j**2 + 3*j**2)*(8 - 6 - 12).\nAnswer: -43*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**3\/21 - 6*g**2\/7 - 27. Suppose f(u) = 0. Calculate u.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*d + 99 - 15 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54.4 - 82.4. Let o = 3.4 + -35.4. Let n = z - o. Which is the third biggest value? (a) 1 (b) 5 (c) n (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 6:52 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d - 53. Determine p(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5\/5 + 4094*h**4\/5 - 2066*h**3\/5 - 18424*h**2\/5 + 1640*h + 8192\/5 = 0. Calculate h.\nAnswer: -1024, -2, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(27) - (-4 + (sqrt(81)\/sqrt(3) - sqrt(27)) + sqrt(27))) + 3)*4)**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:31 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 5*d - 30165, 2*x + 3*d + 30141 = 0. Let b = x - -4975. Round b to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48, 45, 38, 27, 12?\n\"Answer: -2*j**2 + 3*j + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Suppose 4*s + 3*g - 33 = 0, 2*s = -m*s - 5*g + 35. Suppose 6*k = 530 - 110. Calculate the remainder when k is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143125 (base 6) to base 15\nAnswer: -40ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(832) + 1) + -4*(sqrt(832) + 1).\nAnswer: -48*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 22*i**2 + 9*i - 61. What is the units digit of s(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2711288?\nAnswer: 2, 227, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) -26 (c) 5 (d) 0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j + 5. Let f = -15807 - -15802. Let y(r) = -13*r + 4. Determine f*o(i) + 6*y(i).\nAnswer: -8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 - 5 = 0. Suppose 0 = -g + l*g + 16. Calculate the remainder when 15 is divided by ((-2)\/4)\/(g\/64).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3048 and -0.51.\nAnswer: -0.2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 20. Suppose -d*r + 164 = -84. What is m in -135*m + 12*m**2 + 79 + 55*m - r = 0?\nAnswer: 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(12\/(-28)))\/(119\/(-34))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*i - 19226, -87*i + 84*i = -3*g - 19230. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 - 111*g**3 + 1521*g**2 + 5295*g + 3666 = 0.\nAnswer: -47, -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 d when four letters picked without replacement from mfdjmtdmjmjjjjmmmjmj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214845 (base 9) to base 6.\nAnswer: 2425452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 12\/139 (b) -0.04 (c) -5 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6935500 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1370 and -7\/185?\nAnswer: 50690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-13 + -1 + 4). Suppose 0*f = 5*f - x. Solve 2*n + h = -4, 16 = -f*h - 2*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -3*f - 12. Suppose 2*u = 2*k - 216, 318 = 3*k - f*u - 6. What is the remainder when k is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**9\/504 - p**8\/168 - p**7\/420 + p**6\/180 + 13*p**3\/6 - 11*p. Let l(r) be the second derivative of n(r). Factor l(i).\nAnswer: -2*i**2*(i + 1)**2*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*o - 9*o - 8*o + 14*o**3 + 2 - 8*o - 5*o**3 to the form d*o**2 + q + n*o**3 + c*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14538 not equal to 14544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 12*s + 12. Let w be n(13). Let u = 1558 + -408. Calculate the highest common factor of w and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305.2 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -148 (b) 0 (c) 0.1 (d) -2 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Suppose -44 = -4*g + 2*g - n*f, 50 = 3*g - f. Suppose 2*o + 2 - 8 = 0. Solve -q + o*q = -2*m - g, 0 = -q - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10812227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, g: 5, z: 1, w: 1, j: 2, k: 1}. Give prob of sequence qqwk.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + h = -t - 0*t - 25, -2*t - 865*h = -846*h - 272 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -6, -11, -20, -33?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -3649 in descending order.\nAnswer: 3, 1, -3649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35730 (base 8) in base 6?\nAnswer: 154532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-24)*(-1)\/((-85)\/(-561)))\/(-1)*12.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-36696)\/36*(-444)\/8?\nAnswer: 11, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253793 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -123380.75649956 - -2?\nAnswer: -123378.75649956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1100) + 1 + sqrt(44)*5)*-4)**2 + ((sqrt(11) + ((-1*sqrt(110) - sqrt(110))\/sqrt(10) - sqrt(11)))*-5)**2 + 1 + 3.\nAnswer: 640*sqrt(11) + 71520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6\/11)*u*u\/(u*(u**(13\/4)*u)\/u))**1 assuming u is positive.\nAnswer: u**(-79\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -17200206 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/10 smaller than -0.2522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Let v(p) = 4*p + 10*p - 15*p. Calculate v(k(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - v**2 - 4*v**2 + 7*v**2)*(-v + 3 - 3 + (0*v + 3*v - 2*v)*(2 + 1 - 4)).\nAnswer: -4*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4360, 4373, 4404, 4459, 4544, 4665, 4828, 5039?\nAnswer: 5304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 512166785 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u + 2*u**2 + 5*u**2 - 3*u**2 - 4*u**2 + (0*u + u + 0*u)*(3 - 3 - u) + 2*u**2 - u**2 - 1 + 3*u**2.\nAnswer: 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 25, 30, 35?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17972*i**4 + 7*i + 2775. Let q(m) = 8989*m**4 + 3*m + 1388. Let o(c) = 2*h(c) - 5*q(c). Find the second derivative of o(w) wrt w.\nAnswer: -108012*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5 + 16*k - 7*k - 13*k + 5. Let h(r) = -2600*r - 2. Determine v(h(o)).\nAnswer: 10400*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 921006.261 microseconds in weeks?\nAnswer: 0.0000015228278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 1\/2*w**2 + 12 + w. Let b be v(1). Solve -2*c = b*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1260148375 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -7*j**2. Let c(w) be the third derivative of 709*w**5\/20 + 12242*w**2. Determine b(c(q)).\nAnswer: -31668903*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/10, -22, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 8*v - 4737. Suppose -n - s + v = 0, -24*n + 21*n = -2*s - 1836. What are the prime factors of n?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -2 (c) 0 (d) 11710 (e) 148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*l - 2, -4 = 13*l - 15*l - 4*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**3\/3 - 5. Let z(i) be the first derivative of 1 - 1\/2*i**2 + 0*i. Give z(l(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.32 and -4111489.527?\nAnswer: 4111486.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -95, 1, 3\/4, -0.01, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.40253 (b) -1\/3 (c) 2\/11 (d) 2 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/56 and 35\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*u + 65 - 22 = -5*g, -27*u - 4 = -23*u for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/23010 and -141\/301990?\nAnswer: 53452230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - -7.6. Let d = -0.94 - 10.06. Let g = d + x. What is the second smallest value in g, 5, -20?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 + 266.7. Let o = -1 + 1. Let u = o + -2. Which is the nearest to 0.1? (a) m (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 6. Let a be s(0). What is the tens digit of 135\/4 + a\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -309.2 - -308. Let l = 0.1 - -1. Let j = l + b. Sort j, -4, -1 in descending order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 (base 16) in base 2?\nAnswer: 11010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184492007*n**2 + 20717888*n - 1?\nAnswer: -368984014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497.18*10.\nAnswer: 4971.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 6*y + 44. Determine h(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -4 - 22 - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96139.76 grams in tonnes?\nAnswer: 0.09613976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + p**4 - 3*p**4 + 3*p**4.\nAnswer: p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1109 + -1032. Suppose 0 = -n + 3*n - 26. Calculate the remainder when p is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12510 (base 15) to base 14.\nAnswer: 17479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12*w = 507. Let v be (-26)\/w + (-88)\/(-6). Let c(t) = 2*t - 8. Let m be c(11). Calculate the highest common factor of v and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1578, 1125.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (4 - 0 - 11) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.1, 385?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26183093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -227, -192, -157, -122, -87, -52?\n\"Answer: 35*k - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 517, 516, 515, 514, 513, 512?\n\"Answer: -q + 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-812)\/1218)\/((-6)\/(-81))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32245, -203, 5 in descending order.\nAnswer: 32245, 5, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(108))**2 + 4 - (-1*sqrt(12) + (sqrt(30)\/sqrt(2))\/sqrt(5)).\nAnswer: sqrt(3) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3608 at most as big as -33147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.53, 0.1, -0.1?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2908772405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/21*4\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 234, 238, 242, 246?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25728 = -1054*l + 1051*l. What are the prime factors of l?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/27)\/(755\/906). Let r(o) be the first derivative of 5\/9*o**4 + 0*o - 12 + v*o**5 + 8\/9*o**2 + 32\/27*o**3. Solve r(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -144340?\nAnswer: 2742460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 16400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/11)\/((-4503)\/(-8778)*28)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/14*14\/8*-2. Let r(f) = -f**2 - 3*f - 2. Give r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/25, -44, 1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 829822563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -q - 3, 0 = 2*q + q - 4*x + 16. Let g be 4*(14\/q + 4). Factor -1\/2*f**g + f - 1\/2.\nAnswer: -(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1637? (a) -2 (b) 0.4 (c) -5 (d) 4 (e) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oowoowtgowh. What is prob of picking 2 w and 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -272, -267, -260, -251, -240, -227, -212?\n\"Answer: n**2 + 2*n - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*11.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/10)\/(1\/(-2)). Suppose g = 2*p - 1. Suppose 0*d + 6 = -3*d, 3*d + 2 = -4*o. Which is the closest to 0.1? (a) p (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - ((-1 - (0 + 4)) + (-13 - (-59 - -39)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8, 14, 46, 88, 140?\n\"Answer: 5*d**2 + 7*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 12*m - 33. Let j be g(-10). Let x = 41 + -70. Let n = x - -15. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 6. Suppose -371 = 5*k + s - 2*s, 0 = z*k + s + 154. Let i = -38 - k. Solve i = -5*g - 4*x, 0*g + 5*g = 4*x - 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21423 and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6364821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44392881*o**2 - 2*o + 459062593?\nAnswer: -88785762*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rruu when four letters picked without replacement from rrdrrdrrrudrrru.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/64)\/((-3)\/(-4)). What is a in t*a**2 + 3\/2*a + 1 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -255, -542, -1043, -1830, -2975, -4550, -6627?\nAnswer: -9278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228500, -457110, -685846, -914708, -1143696, -1372810?\nAnswer: -1602050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16, -3, -1 in descending order.\nAnswer: -1, -3, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36041 + 6279. What are the prime factors of k?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/15*(-5)\/45\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 8}. Give prob of picking 1 n and 1 s.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.81094742 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -17.54 (b) 0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*-1)**2 + -2 + sqrt(128))*-2.\nAnswer: -252 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*b**3 + 2834*b**2 + 2847*b**2 - 3*b - 5681*b**2.\nAnswer: -71*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = 16. Calculate the lowest common multiple of x and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1078, -1556, -2024, -2476, -2906, -3308, -3676?\nAnswer: -4004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -0.3, -4, -2, 0, 0.05 in increasing order.\nAnswer: -4, -2, -0.3, 0, 0.05, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71.3 and 0.27.\nAnswer: -19.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8142575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 66. Let a = z - -22.91. What is the smallest value in -4, -3, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 6 = 0. Solve i + 2 = -z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**3\/3 + 5*z**2 - z + 1. Let w be t(8). Suppose 0 = 5*v - 0*v - 75. What is the greatest common divisor of w and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*q + 265 + 119 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1736\/(-310) - 2)\/((-2)\/(-5))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -623, -1246, -1869, -2492, -3115?\nAnswer: -3738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1546b2 (base 13) to base 11.\nAnswer: -3287a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40997 is divided by 6830?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2116 + 2119. Sort 11, 0, 5, i in ascending order.\nAnswer: 0, i, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36803 is divided by 1531?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r + 2. Suppose 2*o + 5*j + 10 = 4*o, 4*o - 3*j - 6 = 0. Let n be s(o). Solve n*v + 11 = 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39007 - -39005. What is the fifth biggest value in -8, 1, 0.5, 4\/25, r?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 = -2*g, 0 = -243*k + 247*k + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = 70. Let l be -2 - (48\/u + 1). Let v = -321 + 2565\/8. Sort l, -5, v.\nAnswer: -5, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4) - 2\/(-8) - -2629. Let u = f + -7814\/3. What is the common denominator of u and (3\/(-11))\/(180\/96)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 833219 or 833223?\nAnswer: 833219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 8272044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*m - 26, 0 = a + 4*a - 2*m + 2. Let u be a\/8 + (-119)\/(-28). Suppose -4*r**2 + 3 - u*r + 4*r**3 + 1 + 4 - 4*r**2 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35095\/9 and -3899 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5084?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8439637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-148)\/(-10) - (-3)\/15. Let q be 34\/10 + (-6)\/x. Suppose -w - k = -q*k - 61, -2*w = 5*k - 95. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 96, 169, 260, 375?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most 596679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14591196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/33, -0.1, -1.4, 1\/4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 48.1289km?\nAnswer: 4812890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 q when three letters picked without replacement from {x: 4, c: 4, q: 9}?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 2*m - 1. Let i(b) = 7*b**3 - 8*b**2 + 24*b - 6. Suppose 0 = 10*x - 6*x + 4. Let t(z) = x*i(z) + 6*h(z). What is n in t(n) = 0?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2 - (-3 + 1)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3\/8, -0.14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72949 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 55038*k**3 + 9*k**2 + 9*k - 20. Let i be f(5). Round i to the nearest 100000.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213258243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 31*h**5\/20 - 39*h**4\/8 - 26*h**3 - h**2 - 34. Let f(r) = -7*r**2 + 9*r + 12. Let t(i) = -27*f(i) - 2*p(i). Factor t(g).\nAnswer: 3*(g - 4)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3676*r**2 - 23126*r + 6420.\nAnswer: 2*(r - 6)*(1838*r - 535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 7. Let o be z(-4). Suppose -o*d = 4*a - 3*a, 54 = -5*a + 2*d. Let f = 39 + a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(-90)*((-7)\/1 + 1). Suppose 17*n - 191 = 166. Solve -3*p - g*p + n = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-5) + 14\/70. Suppose 3*z - 2*z - 2*p - 5 = 0, v*z = -4*p + 10. Sort z, 0.2, 2\/7 in decreasing order.\nAnswer: z, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4)*5)\/(16\/32)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12108 + -10?\nAnswer: -12118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (13 + -15)) + (7 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/213367097 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 523737269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 71743500 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555 times -0.3?\nAnswer: -466.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194449 = 3995*n + 46634 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*o + 122, -2*o - 9 = o. Let l = q - -28. Solve -l = 5*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 13. Suppose i = -d + 10 + 5. Let r = -1193 - -1220. What is the remainder when r is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y. Let k be q(-2). Suppose k*a - 3*a + 1 = 0. Solve 5*f - 5 = 4*d, -2*f - 2*d + a = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnvgngpvvnpghpvh. What is prob of sequence nnv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j + 1. Calculate the common denominator of a(6) and 32\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eses when four letters picked without replacement from {e: 7, s: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*r**2 + 15*r**4 - 25*r**4 + 3 + 11*r**4 wrt r?\nAnswer: 4*r**3 - 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596*q - 2*q**3 + 795*q + 801*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 26077, -2, 5, 3, 74.\nAnswer: -2, -1, 1, 3, 5, 74, 26077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 964 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7748*h = 7710*h + 5145884. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (0 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2213*u + 13490. Calculate z(6).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10*j - 1. Let g(t) = t + 19. Let q be g(-20). Determine p(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 15*p + 2. Let z(s) = -14*s - 2. Determine 5*a(f) + 4*z(f).\nAnswer: 19*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -59, -91, -125, -161, -199?\n\"Answer: -o**2 - 27*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 55528221 - 0.25\nAnswer: 55528220.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11795784 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78*q - 326*q - 72*q)*(-1 + 1 - 2*q + 3 + q - 3 + (-1 + 1 - 2)*(2*q + 0*q - 3*q)) + 2*q**2 - 4*q + 4*q.\nAnswer: -474*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3839?\nAnswer: 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 433140.4l?\nAnswer: 433140400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556927 to the power of 1\/2, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9 = o. Let i(x) = x - 2*x + o*x + 1. Let v(h) = 8*h + 5. Let p(m) = 9*i(m) - 2*v(m). Find the first derivative of p(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m**2 - 23*m + 7. Let h(g) = -7*g**2 + 15*g - 5. Let t(r) = -7*h(r) - 5*v(r). Let u be t(10). Solve 3*y - 7*y - 16 = u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + f**2 - f + 14. Let m(l) = -3*l**2 + 22*l - 7. Let h be m(7). Calculate i(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:28 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 25?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5958907 > -29794528\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7084 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -190 - 290 - 423 + 14*p + 255 + 5*p + 4*p**3 wrt p?\nAnswer: 12*p**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4871970?\nAnswer: 2, 3, 5, 54133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 90 = 19*v. Which is the biggest value? (a) -1\/6 (b) 0.5 (c) -3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 31*a**2 - 11*a + a + 3*a.\nAnswer: 31*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/2, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5855 (base 15) to base 4\nAnswer: -10211003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -12156530595?\nAnswer: -12156530610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**3 + 5*d + 1. Determine o(-2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4 = -4*c, -4*i + 2*c - c = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9 + 10\/(-90). Solve -2\/9*h**5 - a - 4\/9*h**2 - 4\/9*h**3 + 2\/3*h + 2\/3*h**4 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 63*(-171)\/54*(-2)\/3. Solve -s*h = -134*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + -7 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4245*h - 75 + 140 - 4251*h. Let b(c) = -4*c**2. What is l(b(i))?\nAnswer: 24*i**2 + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q. Let k(h) = 616399228*h**2. Calculate k(i(j)).\nAnswer: 2465596912*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1449, -1448, -1447, -1446?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5303 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35667*f**2 - 192*f + 11 wrt f?\nAnswer: -71334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*d + 235*d - d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f + -12de?\nAnswer: -130d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 8*u = 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {z: 7, n: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8990847km to meters.\nAnswer: 899.0847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 50*q**2 + 208*q + 22. Calculate b(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6637686.2 - -8.8.\nAnswer: -6637677.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 4 = 7*q. Let l(i) = i + 4. Let k be l(-5). Let j = -23 - -24. Put k, j, q in descending order.\nAnswer: q, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 82.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 + 3 + -8 - (9 + -20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 9*a**2 + 9*a - 6. Let f be n(-10). Solve -f*w - 3*h = 25, w = -3*h + h - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/3*378\/(-280)\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1169*a**2. Let r(c) = c**2. Give m(r(y)).\nAnswer: 1169*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 5*c**3\/3 + 3*c**2 + 16*c + 18. What is the remainder when i(-5) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, -7, 4\/5, -470\/11 in descending order.\nAnswer: 4\/5, -0.27, -7, -470\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -11, -7.79, 1\/3, -35, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 3148 + 29. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v - 3*q = 6, -q = 4*v - 33. Suppose 0 = -5*u + 23 + v. Sort 1, 2, u in descending order.\nAnswer: u, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/t**(-3\/7)*t)))\/t**(1\/12))\/(t\/t**(-1\/5))**(1\/46) assuming t is positive.\nAnswer: t**(22403\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t + 3438 = -200*t - 150*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 32324.93 centuries?\nAnswer: 3232.493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -5. Let l be 0\/((-2 + 4)\/i). Solve -4*z = -5*a + z - 15, l = -a + 3*z - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 14*q**2 - 17*q. Let a(n) = -n**3 + 5*n**2 - 6*n. Determine 17*a(c) - 6*t(c).\nAnswer: -5*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 361*z**3 - 17*z**2 - 13*z + 13. Let u(h) = 60*h**3 - 3*h**2 - 2*h + 2. Let m(s) = -6*l(s) + 39*u(s). What is the third derivative of m(b) wrt b?\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - l + l + (-2 + 1 + 0)*(-l**2 + 3*l - 3*l) - 2*l**2 - 4*l**2 + l**2 - 4*l**2 + 5*l**2 + 2*l**2)*(13 - 13 + 10*l**2).\nAnswer: -30*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 481 = 499 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -41 (b) 4 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*i - 381*i + 7288 + 25261 - 7649 = 0 for i.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(242) - (sqrt(242) - (sqrt(242) + -2))) + -2)**2 - (2 + sqrt(242))*-4*-2.\nAnswer: -88*sqrt(2) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84329, 337397, 759301, 1350143, 2110025, 3039049, 4137317?\nAnswer: 5404931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15566 divided by -34\nAnswer: 7783\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249280239.\nAnswer: 3, 13, 491677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -16. Let c(l) = 1 - 2*l**2 + 19*l**2 - l**3 - 2 + p. Let w be c(17). Solve s + 12 = -4*g, w*g + 12 + 3 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 127*h\/3 + 938\/3.\nAnswer: -(h - 7)*(h + 134)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/4, 1, -19, 1.5, -0.1, 5, 7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:25 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 3141585000 to the nearest one million.\nAnswer: 3142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 16*q**2 + 42*q + 111. What are the prime factors of t(-16)?\nAnswer: 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 20 + 2)*(1 + 13 - 9)*(-3*u + 2*u - u).\nAnswer: 350*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 0 - 5) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 0*p - 2*p - 6*p - 3*p - p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*x - 3487*x + 565*x.\nAnswer: -3060*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -36*k**2 - 252*k + 544. Let m(f) = 23*f**2 + 168*f - 363. Let j(y) = 5*b(y) + 8*m(y). Factor j(i).\nAnswer: 4*(i - 2)*(i + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (2 + sqrt(275) + 2 + sqrt(275)))**2*-3.\nAnswer: -873 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6215 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 323740 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:26 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 1 - l**2 + 1 - 33*l**4 - 3096*l + 3099*l in the form n*l**2 + a + q*l + c*l**4 + i*l**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 4*d. Let m(q) = -3 + 2*q**d + 2 + q**2 - 3*q**3. Suppose 7*a = 3*a + 4. Determine m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 1, -44\/61?\nAnswer: -44\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*o**2 + 18*o**2 - 24*o**2)*(21*o - 14*o + 23*o).\nAnswer: -1560*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 745428694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/609)\/(2*(-1)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/((65\/20)\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -241 - 239 + 2961*n - 2943*n - 117 + 116. What is p(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a + 675 = 37*a. Let u(s) = s + 44. Let y be u(-19). Calculate the greatest common factor of a and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = 8. Let p(b) = -b**3 + 3*b**2. Suppose -6 = 2*n - 4*g, -6 = n - 2*n - g. Let u be p(n). Put -4, t, u in ascending order.\nAnswer: -4, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/6 (b) -2 (c) 1\/260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 552*a**2. Let w(i) = -357*i**2. Give w(h(m)).\nAnswer: -108779328*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**6\/120 - 3*a**5\/40 + 4*a**3\/3 - 69*a. Factor k(x).\nAnswer: x*(x - 4)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1123 + 3321310013?\nAnswer: 3321302230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -46379417 bigger than -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125*x + 3475*x - 757*x - 246*x.\nAnswer: 3597*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-390)\/975)\/((-4)\/(-15)))\/((-9)\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(11) + 3 - ((sqrt(99)\/sqrt(3))\/sqrt(3))**2.\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.08 + 20.08. What is the nearest to 1\/9 in o, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -14*r**2 + r - 5. Let g(s) = -7*s**2 - 3. Let d(c) = -c**2 + 14*c - 3. Let o be d(14). Let t(u) = o*q(u) + 5*g(u). Does 7 divide t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.4495556 (b) -0.5 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r - 29*r - 96*r + 2030 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -55\/157?\nAnswer: -55\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*a + 4 = 0, 4*a = 2*g + 3 - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o - 28 + 28)*((2 + 2 - 5)*(0*o - o - o) - 6*o + 4*o + 3*o) as g*o + y*o**2 + a and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-880)\/(-50) + (-2)\/(-5). Let y = -100 + v. Let t = y - -115. Calculate the greatest common divisor of t and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6573052 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(4\/(-354))*-3. Let j = l + 101. What is j rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -2*x. Let s be 2*(231\/x - 1). Suppose r = -3*z + 25, 3*r + 5*z = 2*z + s. Round r to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -23.2. What is the smallest value in -6, x, 0.5, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 12962?\nAnswer: -12964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(176) + 3)**2.\nAnswer: 24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w**3 - 2*w**2 + 1. Let i be b(-1). Suppose -2*o = -i - 78. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 186832 > 186832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**2 + 28164*m + 253800 = 0.\nAnswer: -9, 7050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27470950 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1894590 and 12630600.\nAnswer: 37891800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1178.8336 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3096.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6509*d**3 + 5297*d**3 + 284*d**3.\nAnswer: 12090*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 148220087215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-2 - 0))\/(-2 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m + 28. Let q = m - -25. Calculate the remainder when ((-28)\/10)\/(1\/(-5)) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 922388569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67042?\nAnswer: 2, 33521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0*x**2 + x**2 + 5*x + 5 - x + x**2. Is t(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/16, -0.53, 1\/1476.\nAnswer: -0.53, -5\/16, 1\/1476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**2*o**2*q + 6*i**2*o*q - i*o - 2*i*q + 337*o**2*q wrt i?\nAnswer: 8*o**2*q + 12*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(4) - sqrt(7)) + -4 - (sqrt(280)\/sqrt(5) - sqrt(56))\/sqrt(8))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 38808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-762)\/(-8)*(-7)\/(147\/(-28)). Let q = 131 - o. Solve -4*f + 11 = 4*b - 13, 0 = 5*b + q*f - 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 256\/15*o**3 - 1\/15*o**6 + 0*o - 16\/3*o**4 + 1\/525*o**7 - 2 + 11*o**2 + 22\/25*o**5. Let w(h) = 0. Calculate h.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -14. Solve 0 = -i + k, 2*i = -r*i - k + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3587)\/(-8229))\/((-68)\/(-264))?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + r - 2*r**3 - 4 - 4*r**2 + 2. Let p be w(-3). Let h = -14 + p. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-1 + sqrt(156))\/sqrt(12) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 32\/(-13 - -15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2298*m - 26. Let w be z(-5). Let h = -4483 - w. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24566 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2. Let s(f) = 24*f. What is s(r(b))?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/4, -2\/11, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*m**2)*(2*m**2 - 2 + 2) + 3 - 3 + m**4.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.156 + 3.256. What is the nearest to 2\/5 in 1\/65, 0.5, m, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -132, -157, -148, -99, -4, 143, 348?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -162a43a5?\nAnswer: 162a43a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2556 by 4.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 18778 + 18778.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + c6?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1181206595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 + -159?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5664\/480 + (-2 - (-33)\/15). Suppose 6*o - 5*g - 40 = 4*o, -51 = -3*o + 3*g. What is the highest common factor of o and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 11*j**2 + 5*j + 19. Let f be c(13). Suppose -258 = -3*s + 3*a, 0*s - 5*s + f = -a. Suppose 2*u + 5*u = s. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5110430 + -5100?\nAnswer: 5101330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 + -79. Let h = -1 + 8\/9. Let q = 25\/3 - 26\/3. What is the closest to q in 2, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6114734 to the nearest integer?\nAnswer: 2473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -589.502 to 0 decimal places.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/4 - i**4 + 59*i**3\/2 + 145*i**2 - 693*i\/4 = 0 for i.\nAnswer: -9, -7, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/35, 1, -0.2, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = m - 22, 2*p = -2*m - p + 19. Solve d = -3*j - 5, -d + m = 5*j + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108974?\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - (sqrt(102) + sqrt(102) + -1*sqrt(102)*-1 - sqrt(102)))\/(2*sqrt(150)).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-7))**(-5\/13)*(d\/d**(-1\/6))\/d**7)**(-26) assuming d is positive.\nAnswer: d**(695\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 30 = -z. Let g be (2\/6)\/(-10 + 968\/96). Suppose 5*t - 45 = g*w, w + z = -2*w. Solve s + t + 0 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2\/7 + 26708806*y\/7 - 13354402\/7 = 0.\nAnswer: 1\/2, 6677201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33967 and -1.4.\nAnswer: 47553.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*d - 18 = -h, -7*d - 27 = -3*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f**4 + 1997*f**3 + 123546*f**2 - 218852*f - 72568 = 0 for f.\nAnswer: -193, -94, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -5, 0 in decreasing order.\nAnswer: 42, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -25452 + 139564.3387\nAnswer: 114112.3387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 910070.98455.\nAnswer: -910069.98455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -10*m**2\/3 + 12182*m + 73132\/3 = 0.\nAnswer: -2, 18283\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 1804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 447 + -252. Let v be (-2)\/(36\/s) - 3\/18. Suppose 56 = 3*d - 7*d. Which is bigger: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37)\/(-8) + (-6)\/(-16). Solve 4*q + 30 = -g*o, 2*q + 0 + 16 = -3*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (78\/(-18))\/(3\/(-18)). What is the greatest common factor of 195 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 22*p**2 + 31*p**2 + 11*p**3 - 9*p**2.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + -1 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.04, -2\/3, 1, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a66 (base 13) in base 11?\nAnswer: -6315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0113701+-0.206\nAnswer: -0.1946299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7\/4)\/h**(3\/23) assuming h is positive.\nAnswer: h**(-173\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5474, 524, 38 in increasing order.\nAnswer: -5474, -4, 38, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/21 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:45 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f - 2*b, -2*b = 2*f - b - 6. Factor -6*h**2 - h**f - 5*h + 4*h - 11*h + 4.\nAnswer: -(h + 2)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 2 - (157 - 122)) + -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -11. Let t(m) = -m + 8. Let k be t(8). Is k greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.77 - -0.17. Let z = -669 + 641. Let n be ((-8)\/20)\/(z\/(-105)). Is u not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2 - 4304*i**4 - 3393 + 1552 + 5635 wrt i?\nAnswer: -17216*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -69.1. Let l = 4\/413 + 2859\/3304. Is u greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.26 * 0.05.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14140.\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*p - 4 = 0, -2*z - 9*p = -17*p - 40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15614.0019246 + -15614. What is n rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v + 9. Let i be (-3)\/(9\/(-8))*6. Let g = i - 13. Let l = 11 - 4. Let s(n) = 2*n - 4. Determine g*q(w) + l*s(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5467 is divided by 2712.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-15))\/((-4)\/(-18)). Is -4 + (-2130)\/(-5) - l\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 4 + 14. Let x be (t - -1)\/(2\/(-12)). Solve 6*q - 4*q - x = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 0.654?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**7*b**(-1\/5))\/((b\/(b**(-2)*b))\/(b\/(b\/b**(-1\/9)))) assuming b is positive.\nAnswer: b**(256\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 + 53*h**2 - 1108*h + 1056. Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11001*f + 1. Let b = -3 + 2. Let i be u(b). Round i to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -182 and 1.39.\nAnswer: -252.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 4 in descending order.\nAnswer: 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 68405314?\nAnswer: 478837198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 6*j + j)*(-4*j - 11 + 11)*(2*j + 3*j - 3*j).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38342.\nAnswer: 2, 19, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 22. Let p be -6*((-14)\/m)\/7. Let w(d) = -d + 4. Let s be w(4). Solve -4*t - 8 + p = s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5612?\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48855.18ns to minutes.\nAnswer: 0.000000814253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a**3 - a**2 - a + 1. Let b(q) = -q**2 - 4*q + 6. Let f be b(-5). Let u be p(f). What is the highest common factor of u and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41.5*-480943.\nAnswer: -19959134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**2. Let c(f) = -4*f**2 - 9*f**2 + 3 + 18*f**2 + 0*f**2. What is q(c(p))?\nAnswer: 75*p**4 + 90*p**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -3, 3, -5, -1 in increasing order.\nAnswer: -69, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1640765 to the nearest 1000.\nAnswer: -1641000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-23) - ((-803)\/23 - 7). Let l(t) = 11*t**3 - t**2 - t - 1. Let h be l(-1). Let i = h + u. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113 - 72 + 690*i**2 - 41 + 3*i - 13*i to h*i + u + v*i**2 and give v.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -698 + 985. Let g = h - 288. What is the third biggest value in g, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9108 = 187*l + 128*l - 117*l for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15152616 and 2?\nAnswer: 0.30305232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 2)\/2*1. Let a = u - 0. Find the third derivative of 0*j**2 - a*j**2 + 5*j**4 - 3*j**4 wrt j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -15*i + 245. Calculate the greatest common divisor of i and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 10*w - 6. Suppose 0 = -6*h + h + 50. Let a be o(h). Let y be (-18)\/a + (1 - 1). Solve -y*s - 8 - 1 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 1, 0.4, -0.45, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 84.25447 centuries?\nAnswer: 8425.447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a7 - 76?\nAnswer: -21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5372.064g in micrograms?\nAnswer: 5372064000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-18)\/2*21\/(-9) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1053, 4273, 9659, 17211?\nAnswer: 26929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -4. Let t = v - 15.1. Put -0.5, t, 0 in increasing order.\nAnswer: -0.5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -4)*1\/(-1). Suppose h = -4*y + 10. Is 7 a factor of -6*(33\/(-6) + y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648370.\nAnswer: 2, 5, 23, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 96*p**2 - 8*p - 321. Give o(-48).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.142019l in millilitres?\nAnswer: 5142.019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -1199?\nAnswer: 1318.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 - -51. Let j = 268 + s. Is j a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-392)\/(-42)*18\/2. Suppose -5*m - x = -9*m. What is the remainder when 79 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.7 * -1\nAnswer: -21.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e + 2f2?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24050 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*t + o + 1, -2*t - 3*o + 8 = 0. Let l be (-1 + 1 + -6)\/t. Factor 0 - l + 1 + 5*b - 3*b**2.\nAnswer: -(b - 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 3*l - 2. Let z be 6\/(-4)*2 + 2. Let y be m(z). Suppose -4*k = -r - 156, 2*r - 22 = -k - y*r. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -630295, -1260592, -1890889, -2521186?\n\"Answer: -630297*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -114351321?\nAnswer: 114351313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61545925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1377140 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*p - 3*d, -d + 3 = p + 13. Which is the nearest to 2\/5? (a) -0.4 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - q**2 - q - 1. Let j(r) = 25*r**3 - 21*r**2 - 27*r. Let w(u) = j(u) - 12*p(u). What is w(10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -1, -3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4645 = 211*i + 841 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6618806 and 554367?\nAnswer: 218420598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -3*a + w + 414, -4*a = -5*w - 587. What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 13 + 5)*(2*q - 3*q - 2*q)*(2*q + q - q) as s*q + a*q**2 + b and give a.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or 23.5455?\nAnswer: 23.5455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 151, 127, 83, 13, -89?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72, 522, 1350, 2550, 4116, 6042?\n\"Answer: -y**3 + 195*y**2 - 128*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z + 5*z - z. Let t(f) = -f. Determine m(t(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 76*l**2 - 8*l + 301. Let x(u) = -19*u**2 - 1. Determine -4*x(a) - y(a).\nAnswer: -a**3 + 8*a - 297","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 7*q - 11. Let h(d) = 1. Let g(b) = -h(b) - r(b). Let u be g(-8). Solve -2*l = 2*x - u, x + 3*x - l + 21 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 + 9*s + 2 - 7*s + 12*s**2. Let x be (2 - 3)*2 - -5. Is w(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t - 2*b - 4, 3*t = -b + 16. Let m(k) = k**3 - 5*k**2 + 4*k - 4. Let v be m(t). Is 2*1 + (v - 2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**3 - 13*z**2 - 26*z + 13. Let f(s) = -7*s**3 - 9*s**2 - 17*s + 9. Let x(q) = 8*f(q) - 5*t(q). What is the units digit of x(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 30)*(-2)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2 + 196*y + 5. Determine t(-42).\nAnswer: 2357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7*h + 12. Suppose -2*f - 7*c + 2*c + 32 = 0, 0 = -f - h*c + 18. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -990252 + 990225.00091. Let d = -3.3 - -30.3. Let j = y + d. Round j to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 4*c**2 - c + 1. Let p be x(-4). Suppose -67 = -n - p*d, -3*d - 2*d = -2*n + 119. Suppose -r + n = r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 7, v: 12}. What is prob of sequence jv?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 597. Let q(z) = -2251 + 2251 + 2*z. What is q(d(y))?\nAnswer: -2*y - 1194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 17*p**3. Let s(z) = -3509923*z + 3509923*z + 16*z**3. What is 5*r(d) - 6*s(d)?\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + sqrt(1377) + 3*sqrt(1377) + -1 - 2*(sqrt(1377) + (-1 + sqrt(1377))*4 + -1).\nAnswer: -54*sqrt(17) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/140)\/(0 + (-3)\/(-30)). Solve -4*n - 4*d = 0, c*n - 4 - 2 = -5*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4806292*k - 2652778?\nAnswer: -4806292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5\/6449, -0.5, 0.333 in descending order.\nAnswer: 0.333, 5\/6449, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21814.77cm to meters.\nAnswer: 218.1477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -33*i - 161. Let n be y(-6). What is the greatest common divisor of 1073 and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 2. Let h be j(-3). Let s be ((-3)\/(-6))\/((-1)\/20). List the prime factors of s\/h + -2 - -2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -0*y. Let a = y + -1. Suppose -a*k - 3*k + 4*z + 137 = 0, -5*z + 97 = 3*k. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:00 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -2, -1\/4, -0.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*a - 1147*a = -817*a + 765*a + 173533 for a.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113 less than -5131.4?\nAnswer: -5131.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -32. Let f = 10 - 7. Let j = -2 + f. Sort j, 4, w.\nAnswer: w, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 0*z = -i - 4, -12 = 5*z + 3*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/84 - (18\/(-2) - (-14912)\/1631).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 191 times 0.4\nAnswer: 76.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k\/k**(-5))**(-18\/7) assuming k is positive.\nAnswer: k**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 + 2 + (-4)\/12. Let i(l) = -36*l - 3. Let r be i(x). Calculate the remainder when (0 - -12)\/(r\/(-338)) is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*t - g, -4*g = -4*t + 3*t - 16. Let d be (-7575021)\/15 + 1 + t\/(-10). Round d to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (1153\/(-6))\/((-3)\/(-9)). Let b = 546 + z. Calculate the common denominator of (3\/(-2))\/((-6)\/106) and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110 (base 4) to base 16.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20278185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 104 = 484. Let y = f + -58. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 3*h**2 - 6*h + 1. Let a be o(5). Is (22 - a)\/((-3)\/(-14109)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324303843 + 1324303843 + 4*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 4*m**2 + m + 1. Let u be b(3). Let y = -4 + u. Let h = y - 4. Solve 0*i + 5*i + 25 = -h*g, -3 = 3*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2 - -6)\/4)\/((-1)\/(-3036)). Suppose 133*n - 131*n - w = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -f - 5*u - 19, 0 = -4*f - u - 133. Is 17 a factor of f*(2 + 21\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49840775111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -3023.91.\nAnswer: 1814.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3289c2 (base 16) to base 3\nAnswer: 20020021022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349 divided by -6.\nAnswer: 349\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10940 + -10747. Is w greater than or equal to 188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 772.\nAnswer: 3\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {s: 1, b: 1, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9805 divide 1810389331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36339477 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {a: 4, b: 3, k: 7, h: 2, j: 1, g: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.22596.\nAnswer: -0.11298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717102 is divided by 301886.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 3*f**2 - 6*f - 6. Let d(r) = 9*r + 2. Let n be d(2). Let k be 4\/(-6) - n\/6. Let a be t(k). Solve -6 = 4*j - a*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84944?\nAnswer: 2, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 1:28 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -154, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2556833?\nAnswer: 907, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-6)\/10)\/((-9)\/(-90)*2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13234335 + -514?\nAnswer: -13235253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (2 - -1) - -162. Suppose 3*x + 0*x = l. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b - 326950 = -3*q, 1307611 = 4*b - 9*q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = q - 421, -2*d + 10 = q - 408. Suppose 6*n - 13*n + q = 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11511*f - 3605. Is n(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 684, 1548, 2758, 4314?\nAnswer: 6216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33673 (base 9) to base 11\nAnswer: 15934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*a + 444 = 0, -26*b + 2*a = -31*b + 1070. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96658 by -62.\nAnswer: 1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/997, 3, 3\/5, 1\/3, 0.03 in descending order.\nAnswer: 3, 3\/5, 1\/3, 0.03, 4\/997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 438, 1521, 3242, 5601, 8598, 12233?\n\"Answer: 319*r**2 + 126*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + -25. Let c be (-2)\/7 - f\/21. Suppose -3*m + m = -c. What is the lowest common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 1\/6*s**3 + 0*s + 0 - 1\/12*s**4 - 1\/40*s**5 + 2*s**2 - 1\/360*s**6. Let r(d) be the first derivative of t(d). Calculate r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x + 8. Let k(c) = 35 - 5*c - 159 + 39 + 41 + 40. What is 13*k(z) + 6*w(z)?\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*l - 4 = -3, -18*a - 2*l - 72 - 73 = -31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 945710 by 3.\nAnswer: 945710\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*d - 3961, d - 12 = -3*d. Suppose -x = -7*s - s. Calculate the remainder when s\/3 - (-48)\/36 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/3 (b) -37 (c) -2\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 3, n: 7}. Give prob of sequence ll.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42 times 11.05\nAnswer: -464.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*d + 88 - 20. Let x = -24 + 24. Solve x = -2*w - 5*v + 17, -d*v - 3*v = -5*w - 45 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**2 - a**5 + 0*a**2 - 6*a**5 + 5*a**5 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h**2\/11 - 114*h\/11 + 108\/11 = 0. What is h?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(-2218*s + 555*s - 953*s) as i*s + r and give i.\nAnswer: 2616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115845.1 rounded to the nearest 100?\nAnswer: 115800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**5\/2 - 21*c**4 - 60*c**3.\nAnswer: -3*c**3*(c + 4)*(c + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2853)\/1902)\/(66\/40)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -38119.\nAnswer: 4\/38119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 16) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3576 (base 10) to base 7\nAnswer: -13266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*o**3 + 19224*o**2 - 14099910.\nAnswer: 627*o**2 + 38448*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504 divided by -46511.\nAnswer: -504\/46511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -61744?\nAnswer: -61741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2931*p = 2901*p - 810 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (204\/18 - 3)\/(20\/1656). Calculate the greatest common factor of y and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 4*l**2 + 278 - 278.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -2\/709, -28, 5?\nAnswer: -2\/709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/56807, 2\/3, 1\/3, 1 in decreasing order.\nAnswer: 1, 2\/3, 1\/3, 3\/56807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -675 divided by 95\nAnswer: -135\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -69. Suppose 0 = -2*b - 2*p + 1636, 5*b + 0*p = x*p + 4130. What is b rounded to the nearest 10?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 7249 = -13871. Is x greater than or equal to 525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1631, -1622, -1607, -1586?\n\"Answer: 3*l**2 - 1634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) -3 (c) -257\/4 (d) 2 (e) -18 (f) -0.4 (g) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q**2 + 114*q - 29. Let p be y(-10). Are p and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 2. Let p(z) = -z + 10. Let t be p(8). Let q be x(t). Suppose q = 2*g + 3*g + b - 66, 0 = -4*g - 3*b + 55. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6601\/(-92))\/(-41))\/((-5)\/(400\/(-12)))?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -308.9 - -332. Let y = 23 - g. Let o be 1\/((-1)\/3) - -4. Sort o, y, 0.2, 0.4.\nAnswer: y, 0.2, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23276074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1618 and 75\/76.\nAnswer: 61484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1555 + -1551. Solve j = -z*t + 10, 2*j + 5*t - 5 = 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 591042870 divided by -6\nAnswer: -98507145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9735 is divided by 52.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 785 - 785.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j. Let j + 1\/5*g**2 + 0*g + 1\/5*g**3 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.319033 to three decimal places.\nAnswer: -0.319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Suppose 5 - z = 2*o. Suppose -5*m + 5*s - 1 = 29, 10 = o*s. Let d(q) = 9*q - 1. Give d(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 400\/28 + (-7)\/((-49)\/(-2)). Let b(x) = 10*x + 9. Let h be b(v). Is h at most as big as 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 + m**3 + 0*m**3 + 4 - 22*m + 22*m + 8*m - m**2. Determine g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 16221*t**2. Let i(o) = 33*o. Determine i(k(s)).\nAnswer: 535293*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -7*q**6\/30 - 543*q**5\/5 + 1247*q**4\/4 - 469*q**3\/3 - 312*q**2 + 187*q. Let k(s) = 0. What is s?\nAnswer: -312, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12160782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77875480 rounded to the nearest one million?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -3*q - m, -3*m = 4*q - 2*m - 246. Find the second derivative of 23*l + 24*l + 17*l**2 + 7 + 20*l - q*l wrt l.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**2\/5 + 3534*w + 5203815 = 0.\nAnswer: -2945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {c: 6, z: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27928*c - 223605 wrt c.\nAnswer: -27928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30777223 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*f - 570786*f**2 - 1081*f**3 + 55*f + 570786*f**2.\nAnswer: -1081*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 10. Let b be k(8). Let h(g) = -g**3 + 11*g**2 - 17*g - 5. Let y be h(9). Let x be (-8)\/(-3) - (-2)\/(-3). Solve x = -b*i - y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438978 to the power of 1\/2, to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 445664.3 meters in micrometers?\nAnswer: 445664300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95628 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2 - 20 + 29 + 55 + 12 - 14*s. Let g be c(5). Sort -15\/8, -0.3, g in decreasing order.\nAnswer: g, -0.3, -15\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-24)*(-88)\/(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 121112807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10 = 5*q, 5*g + q + 18 = 3*q. Let m(c) = c - 1. Let s(o) = -5*o + 3. Let a be 1\/2 + 0 - (-9)\/(-6). Determine a*s(b) + g*m(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -33602602.\nAnswer: -3360260.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 264*i - 2 - 2 - 686*i to v*i + o and give v.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 14. Let o = -5 + 8. Suppose -2*c + 28 = -4*p, 5*c - p - 52 = o*p. Let t be k(c). Calculate the greatest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -1\/2*q**2 + 23 + 0*q. Let o(c) = 4*c. Determine m(o(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25615.207 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:37 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6\/c**1)\/(c*c**(-9)*c*c**(-5\/3)))**(-49) assuming c is positive.\nAnswer: c**(-2009\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1640 + 5?\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 2. Let l be o(-2). Suppose 0 = 2*t - 6*t - 8, p + 2*t = -1. Suppose 3*q + l*q = p. Sort 3, q, 4 in increasing order.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1395925.\nAnswer: 5, 55837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3 + 6879*w**2 - 3877224*w - 76171152 = 0?\nAnswer: -19, 1156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-12\/11))\/(b\/(b*b\/((b*b\/b**13*b)\/b)*b*b)*b))**(-18\/5) assuming b is positive.\nAnswer: b**(-2988\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 58 = 5*r, 4*w = -5*r + 3*w + 59. Suppose i - 18 = -3*y + y, 4*y = 2*i - r. What is the remainder when 21 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2400)*1 + -4*(sqrt(48)\/sqrt(2) - sqrt(24) - sqrt(24)))\/(sqrt(1152)*2 + (sqrt(8) + sqrt(40)\/sqrt(5)*-1 - sqrt(8))))**2.\nAnswer: 588\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -11*n - 133. Let i be (1\/2)\/(1 + n\/20). Solve i = 4*z + 2*w, 4*z + w + 3*w = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 280, 473, 682, 913, 1172, 1465, 1798?\nAnswer: 2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 109*x. Let z be u(2). Let s = z - 147. Suppose 3*f + 4*g - s = 0, -5*f - g + 56 + 34 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + o - 83, -3*g = 2*g - 5*o - 200. Let z be (9\/12)\/((-2)\/(-296)). Suppose -14*c = g - z. Solve 20 = -c*x + x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60*-2353624\nAnswer: 141217440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8\/5075?\nAnswer: -8\/5075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316 (base 12) in base 11?\nAnswer: 4262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1822*b**4 + 3475*b**4 - 2280*b**4)*(-2*b + 3*b - 2*b - 6 + b + 0 + 4 + (1 - 1 + 2*b)*(1 + 0 + 1)).\nAnswer: -2508*b**5 + 1254*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*m)\/(m*m\/(m\/((m\/m**8)\/m)))*(m**(-1\/2)\/m)**(-34))\/((m*m**(-4))\/((m*m**(1\/3))\/m))**(2\/13) assuming m is positive.\nAnswer: m**(2438\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 + 16?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/6)\/((-5)\/((-40)\/(-6))). What are the prime factors of o + (-3 - -136) + -4?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2532*t**2 + 5862*t**2 - 684*t**2.\nAnswer: 7710*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/5, -3, 120?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + q = 19 - 66, 4*q = -3*l + 42. Let n = l - -11. What is the greatest common factor of 147 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 3*f + 4*f)*(-30 + 21 - 95)*(-6*f**4 + f**4 + f**4).\nAnswer: -832*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2. Let f(i) = 446*i. What is q(f(o))?\nAnswer: -596748*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 - 9351*v + 9354 = 0. What is v?\nAnswer: -3118, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2868 - 2869. What is the closest to -2\/3 in t, -0.1, 2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1014 - 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7197 * 3.54\nAnswer: -25477.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6102934\/111 + 54982. What is the common denominator of 32\/45 and v?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -5, 132?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 3:35 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from dtdddeeeeee.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*x + 753*x - 2 = -2*d, 3*x - 5*d = 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1452 (base 12) to base 14\nAnswer: -c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**6\/6 + m**5\/5 - m**4\/2 - 2*m**3\/3 + m**2\/2 + m - 46. Factor j(t).\nAnswer: (t - 1)**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194815 is divided by 131?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 6*y**2 - 19*y - 2. Determine j(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -69*w - 11. Suppose -3*k = 19 - 4. What are the prime factors of c(k)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - 2*d**4)*(-2*d + d - d + (-5 + 5 + d)*(-3 - 1 + 2)).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 1. Suppose -i - 33 = 3*t, -2*t + 3*i - 7 = a. Let z be (-375)\/2*192*t. What is z rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791728351 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/323 and -49\/171.\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19633, 39266, 58899?\nAnswer: 78532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2734*l. Let x(j) = -18*j. Calculate c(x(o)).\nAnswer: -49212*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 (base 15) in base 14?\nAnswer: -61c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6 - 2. What is the smallest value in 4\/9, y, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 344 = -18*x + 539 + 625 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954 divided by -1668?\nAnswer: -977\/834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 3*n - 8. Let f be a(-7). Let g = -18 + f. Suppose 4*p - 32 = g*t, p - 10 = -4*t + 16. Is 8 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10)*(-3 + -2). Let n be 2\/(-6) - 5\/(-15). Solve n*k - x*k = 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/20 - 11*v**4\/12 + 5*v**3\/3 - 11*v**2 - 511*v. Calculate y(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312499 to the power of 1\/2, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 4*r - 2. Let i be m(-4). Suppose -3 = -2*j + 1. Calculate the remainder when (-7 - -6)\/(i\/10) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/13243 and 113\/246.\nAnswer: 79458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799708.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*p + 165914 - 185221 = 0 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -14*a + 42, -24 = 71*k - 70*k + 5*a for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by 8078477?\nAnswer: 148\/8078477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39\/2*m**2 + 6 + 24*m + 9\/2*m**3 = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 32*i**2 - 6*i + 6. Let b be z(1). What is the third derivative of 21*k - 32*k**4 + 10*k - b*k + 8*k**2 + 2*k**3 wrt k?\nAnswer: -768*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3310*d - 5806. What is the remainder when l(2) is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123250569 divided by -363571\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -309*h**5\/2 + 730*h**4 - 1217*h**3\/2 - 791*h**2 + 666*h - 36 = 0. Calculate h.\nAnswer: -1, 6\/103, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 26 = -5*g, -3*n + 5*g = -0*n + 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihpeilh. Give prob of sequence lh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386660 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:39 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024)*-1 - sqrt(168)\/(-2*sqrt(8)))\/((sqrt(108) - sqrt(108)*-4*1) + sqrt(108)) + 0)**2.\nAnswer: 3703\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(13))*-6*2*6.\nAnswer: -72*sqrt(13) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -2\/115, -1\/187, -1?\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*w - 2*w**2 - 19*w)*(4 + 4 - 4)*(-3 + 4 + 0)*(1 + 1 - 1).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-228)\/570)\/((-2)\/(-20)))\/((-4)\/(-12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 168*m - 1 + 14)*(0*m - m**2 + 0*m).\nAnswer: 168*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51404 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 185514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 1\/28, -7\/5 in decreasing order.\nAnswer: 1, 1\/28, -7\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*k + k - 1, -5*k - 5*f - 25 = 0. Does 12 divide (-1)\/((15\/k)\/300)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4341 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:06 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003532856 to five decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19331, -20003, -20675, -21347, -22019?\nAnswer: -22691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11126902?\nAnswer: 2, 347, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 3*d - 5. Let k be y(1). Solve -z - 4*j + k = -5*z, 4*z = 2*j - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 2*q. Let n be f(-5). Let t(d) = d**3 + 8*d**2 - 12*d + 20. Let k be t(n). Round k to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 2*u = -144. Suppose 9 - 29 = -5*c, 3*c = -k + 16. Suppose -4*t + 2*t = -4*j + 52, 0 = -k*t - 8. Calculate the greatest common factor of j and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 280 or 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-542)\/4)\/((-45)\/90).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 27, 2\/15017, -3?\nAnswer: 2\/15017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -62*x - 867. Let u be c(-14). What is the highest common divisor of u and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.533 - -3.533. Let n = 0.2 + 0. Which is the biggest value? (a) y (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 22 = -2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*(0 + o + 0)*(15*o + 47*o**2 - 45*o**2 - 2*o**4 - 4*o**2).\nAnswer: -6*o**5 - 6*o**3 + 45*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24304, 48765, 73226, 97687, 122148?\n\"Answer: 24461*g - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m. Let r(h) = -14*h. Let k(v) = -43*v. Let z(f) = 2*k(f) - 7*r(f). Calculate g(z(l)).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245358?\nAnswer: 2, 3, 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(363)*2 + 0 + sqrt(363) + 4)**2 + 4 + 3.\nAnswer: -440*sqrt(3) + 9098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 106. Suppose k + i = 2*k. Suppose -5*p + 26 = -k. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1\/(13\/(-2)). Let l = -43.5 + 44. Put l, -1\/7, j in descending order.\nAnswer: l, j, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/2 + 37*r**3\/3 - 19*r**2\/2 + r + 378. Give p(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -518*j + 96 + 54 + 102 + 252 + 48 wrt j?\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 754*c - 164*c + 1180 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 144*a**5 + 6*a**4 + 6*a**3 + 228*a**2. Let q(g) = g**4 + g**3. Let z(m) = -6*q(m) + y(m). What is the third derivative of z(p) wrt p?\nAnswer: 8640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**2 - 31*q + 16. Let y be m(6). Let b(n) = -6*n**3 - 3*n**2 - 6*n - 3. Let l be b(-3). Calculate the highest common factor of l and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p + 14. List the prime factors of d(-25).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01580679127 to five decimal places.\nAnswer: -0.01581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -29, 3, -4, -2 in increasing order.\nAnswer: -29, -4, -2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a**2 + 182 + 185 - 520 - 128*a + 154 to the form c*a + q*a**2 + o and give c.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 13*i**2 - 28*i + 12. Let g be r(17). Let p = -683 + g. What is the greatest common divisor of 477 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24377664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 197346.\nAnswer: 789384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y + 8. Let m(u) = -8*u + 7. Give 6*m(j) - 5*s(j).\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 2*m - 2*p, -5*m - 3*p + 2*p = -351. Calculate the remainder when m is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -19. What are the prime factors of s\/(3\/6*-2*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y - 4*g = 2, -g + 8 = 5*y. Let n = 74.47 + -74. Let s = n - 0.07. Which is the nearest to y? (a) -2 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 599, 1526, 3261, 6074?\nAnswer: 10235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = 2*u + 17670, f - 8839 = -u. Suppose 3*i = -2*i + 4*b + f, 4*b - 8 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -750699, -750700, -750701, -750702?\nAnswer: -750703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 - 70. Let b = 34.9999987 - j. Round b to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5313 or -637409\/120?\nAnswer: -637409\/120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -15*o**2 + 66*o - 30. Let z be (9\/6)\/((-6)\/16). Let u = z + 0. Let n(i) = -3*i**2 + 13*i - 6. Let l(y) = u*p(y) + 21*n(y). Factor l(v).\nAnswer: -3*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601609817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99)\/sqrt(729).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609 a factor of 2207649088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -1225, -2759, -4917, -7705, -11129, -15195?\nAnswer: -19909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 8 = 17*m + i, -m - 5*i = 40. Put m, -31, -2 in decreasing order.\nAnswer: m, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -152537*h - 915224. What is b(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**23*b**(2\/65)\/b*b\/((b*b**(-1\/28))\/b)*b\/((b*b\/b**(-5\/3))\/b) assuming b is positive.\nAnswer: b**(122303\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 281*g**2 + 102*g**3 - 281*g**2 + (-2*g**2 + g**2 - g**2)*(6*g - 3*g - g) + 0*g**3 - 3*g**3 + 4*g**3.\nAnswer: 99*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1051*y**3 + 590 + 949 + 523*y**3 + y**4 + 2*y**2 + 530*y**3 as u*y**3 + v + h*y**4 + s*y**2 + m*y and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 = 3*p, -r - 2 = -3*p - 9. Which is the biggest value? (a) 5 (b) 0.3 (c) 0.1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*o - 82 = 12, -2*w = 2*o - 44. Solve 4*t - 6*t = -3*k - w, -5*k - 8 = 3*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 + 1. Let r be s(-1). Let n(t) = -t**2 - 4*t + 2. Let m be n(r). Is 13 a factor of m\/(-3) + 208\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p - 17. Is 14 a factor of o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = h - 2, 0*k + 2*k - 31 = -3*h. Let v = -4 + h. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-92*r**2 + 180*r**2 + 81*r**2)*(0*r**2 + 2*r**2 + 3*r**2) to p*r + m*r**2 + i*r**4 + z*r**3 + c and give i.\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19438?\nAnswer: 2, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1861*f - 2 - 1603*f - 4 to the form m*f + r and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47302243?\nAnswer: 37, 1278439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1834590648?\nAnswer: 2, 3, 11, 6949207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 7:13 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105 is divided by 2102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 57. Let c be (-7 - h) + 2 - -40. Let p = 147 - 138. Calculate the greatest common factor of p and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109192200 to the nearest one million.\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + h**2 - 1105*h + 17111*h.\nAnswer: -2*h**2 + 16006*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 35 = 4*n. Is 13\/2 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.65 + -0.23. Let d = g + -4.62. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28478184*t**3 - 67970*t**2 - 3*t - 30 wrt t?\nAnswer: 170869104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1189, 1746, 2291, 2818, 3321?\n\"Answer: -l**3 + 564*l + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.13981 - -141.82981. Let o = w + -141. Let l = o - 0.748. Round l to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -55\/2. Let h = -50090 + 50095. Let i = 8 + -7.7. Put h, 1\/9, n, i in decreasing order.\nAnswer: h, n, i, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9772, -10486, -11680, -13360, -15532, -18202, -21376?\nAnswer: -25060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -4 (c) 3 (d) 0.5 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 - 8342*t - 7 - 3.\nAnswer: -8342*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1416*f + 1397*f + 1401*f - 5612*f + 1401*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21850502 is divided by 305.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 30*r**4 - 427*r**3 - 1020*r**2 + 1476*r.\nAnswer: r*(r - 41)*(r - 1)*(r + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(752\/31584)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 10*h**2 + 3*h - 17. Calculate w(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 5*m**3 + 72*m**2 + 19 - 35 + 15.\nAnswer: m**3 + 72*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2671376 decades?\nAnswer: 2.671376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*l - 4*w - 4 = 457*l, -5*l - 41*w = 41 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/60 + n**4\/12 - n**3\/6 - n**2. List the prime factors of w(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137.92*-3416.\nAnswer: -471134.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -721003.31 * -5\nAnswer: 3605016.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 12*l + 12 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 = -0. Calculate the remainder when (5 - -3)*(-5)\/(-2) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000215448 to 6 dps.\nAnswer: -0.000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 0.1 in decreasing order.\nAnswer: 0.1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 5. Let r be z(6). Which is the smallest value? (a) -5 (b) r (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 4665?\nAnswer: -4656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10833394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 13 + 3. Let j be 14\/(-4)*(7 + -11)\/2. Solve -4*r - 5 = -q, w*r - 2*r + j = 5*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 a factor of 181330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/13987 + -41965\/27974. Let u = 16\/9 + -19\/9. What is the nearest to -1\/3 in 4, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t**2 + 747*t + 211. Determine y(-94).\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -354 - -504. Let z = -147 + d. Solve 0 = -2*f - 2*g - 0 - 10, -z*f + 4*g = 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxcc when four letters picked without replacement from cxcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -6. Let v be (-21)\/(-9) + (-1)\/z. Solve 6*o**5 - o**4 + 3*o**4 - 7*o**3 - 4*o**5 + 5*o**5 - 2*o**v = 0 for o.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 58\/90989?\nAnswer: 58\/90989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*r - 3 = 0, 0 = -r + 2*r - 1. Suppose 0 = 3*k + a*k - 120. Suppose -4*w + 16 + k = 0. What is the highest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26897 divided by 4997.\nAnswer: -26897\/4997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16011)\/231270*10\/(-3)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - g - 161, 0 = -7*t + 5*t + 3*g + 67. Calculate the lowest common multiple of t and 104.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + c + 3*c)*(-5 + 4 + 0) + 8*c + 0*c - 2*c + c - 5*c + 3*c + (-c - 2 + 2)*(-3 + 5 - 4).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 0 + 14 + 1 + r**2 + 2*r + 2. Is f(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 19*p**2 - 3*p - 4. Suppose -22*x + 108 = -10*x. Calculate the lowest common multiple of a(x) and 5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*s - 40 = 3*s, s - 16 = -4*l. Let x(i) = -i + 9. Let v(w) = -w + 10. Let n(d) = -3*v(d) + 4*x(d). Calculate n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4 + 219\/2*m**2 + 173\/2*m + 91\/2*m**3 + 43\/2 = 0.\nAnswer: -43, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19977, -1, -17 in decreasing order.\nAnswer: -1, -17, -19977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52869*y**3 + 39*y**2 + 5246623 wrt y?\nAnswer: 158607*y**2 + 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67835632 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -5?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -723, -652, -459, -84, 533, 1452, 2733?\nAnswer: 4436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -1 (c) 5 (d) -79 (e) -11 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.58 to one decimal place.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -498, -502?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 3. Let x(b) = b**2 - 2*b - 4. Let t be x(3). Let q be (-1 - -1)\/(1*t). Let h be k(q). Is h less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 - 2*q**2 + q**4 + q**2 + (3*q**3 - q**2 + q**2)*(1 - 2*q - 1)*(-93 + 13 + 17).\nAnswer: 379*q**4 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98337403 to the power of 1\/2, to the nearest integer?\nAnswer: 9917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/748 and 151\/96?\nAnswer: 17952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 12*r**2 + 22*r + 133. Let z be j(-11). Solve -6*h = -3*h - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + i - 2*i - 143 + 107)*(2*i**4 + 2*i - 2*i).\nAnswer: -2*i**5 - 342*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 24. Solve -4*k + r - 10 = 3, -4*r + x = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 - -1?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 174106 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9)\/(140\/126).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*d**3 + 2031*d**3 + 99*d**3 + 2*d + 2633 wrt d.\nAnswer: 12930*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9231 and 50712037.\nAnswer: 3077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:55 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 55*m - 146. Determine w(6).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 0.0923?\nAnswer: -0.2077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, -17.2, -1\/8, 1\/4, 1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -12*c + 34*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 3565690\nAnswer: 3565694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 52430566 divided by 26215283\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*p**3 - 7*p**2 + 7*p**2 - 6 - 8 wrt p.\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n - n**2 + 20 - 20. What is the tens digit of q(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6715 - 186. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 2*y + 4. Give q(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 = j + 19, -16 = 4*c. Let y be ((-6)\/j)\/(2\/5). Let r(u) = u**2 - 709*u + 12444. Let o be r(18). Put 5, -4, o, y in decreasing order.\nAnswer: o, 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -31.017. Let a = w + -19.017. Let c = 19.0000046 + a. Round c to seven decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4196 + -4198. What is the closest to 1\/2 in s, -0.5, 2\/5, 13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260975 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 7*p - 3. Suppose 6 + 15 = -3*d. Let b be j(d). Let l = -54 + b. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2112202 (base 3) to base 5\nAnswer: 24411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/12547 + -14968421\/1882050. Let f = x + 78\/25. Calculate the common denominator of 91\/38 and f.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, -1501 in decreasing order.\nAnswer: 5, -16, -1501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8072137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 251 = t - 2*s, 86 = t + 3*s. Calculate the remainder when t is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 1. Let i be (10 - 9)\/((-2)\/(-4)). Sort m, i, -4 in decreasing order.\nAnswer: i, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 132*l**2 - l - 2. Let w be k(-1). Suppose q + 2*b = w, 3*q + 7*b - 4*b - 387 = 0. List the prime factors of q.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172609?\nAnswer: 101, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q = 0. What is r in 2\/3*r**4 + 0*r**3 + 2\/3*r**5 + 0*r**2 + 0*r + q = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 1456.86.\nAnswer: -1456.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/11 - 1536*f**2\/11 + 393216*f\/11 - 33554432\/11.\nAnswer: 2*(f - 256)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**5 + 736*t**4 - 35172*t**3 + 175640*t**2 + 12398800*t - 12540000 = 0.\nAnswer: -15, 1, 38, 50, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 4*c, -5*t - 1033 = c - 1071 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(2 - (-1)\/(-1)). Let k = -1.89 - -1.96. Which is the closest to -0.1? (a) n (b) -1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -19*p**2 + 63*p - 47. Let o be u(4). Let m(a) = 9*a**3 + 4*a**2 + 4*a. Let t(s) = -225*s**3 - 99*s**2 - 99*s. Determine o*m(w) - 4*t(w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let h(a) = 341*a**2 + a. What is h(f(p))?\nAnswer: 1364*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164775*q**3*w**2 + 133*q**3*w - q**3 + 10*q**2*w**2 + 3*q**2*w - 3126*q*w - 2*q wrt w?\nAnswer: 329550*q**3 + 20*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0109764 rounded to 4 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3174*c. Let w(t) = -27*t - 3. Give w(o(b)).\nAnswer: 85698*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2604\/25 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 14) to base 11\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-108)*110\/33*(-12)\/(-2)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 + -17 - 1*-3. Is 21 a factor of ((-1)\/(-3))\/(z\/(-24)) + 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Suppose 0*t + 3*f = 2*t - 9, -t = 3*f + 9. Put q, t, -1 in descending order.\nAnswer: t, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1\/1484 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -488 - -2438\/5. Let v = 2173\/6 + -363. Are s and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13912, -55650, -125216, -222610, -347832, -500882?\n\"Answer: -13914*h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 2240212*o\/3 - 627318725618\/3.\nAnswer: -2*(o - 560053)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2. Let p(m) = 402*m. What is p(o(b))?\nAnswer: 2814*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -473579.6 - -473580. Let j = -137.721 - 0.279. Which is the third smallest value? (a) f (b) 2\/3 (c) j (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -899.68 + -3\nAnswer: -902.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74509 + -40716. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 9, -22, 7.\nAnswer: -22, -5, 0, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6346483566 to the power of 1\/3, to the nearest integer?\nAnswer: 1851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13291 - 11279. What is the remainder when d is divided by 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**2 + 56*k**2 - 30*k**2 + 367*k**3 + 434*k**3.\nAnswer: 801*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 40 = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/11 (c) -0.02 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2480 + -2479. Let y = -44.37 - -1.37. Which is the nearest to -1? (a) y (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyjo when four letters picked without replacement from {j: 2, o: 5, m: 3, h: 3, y: 1, z: 1}.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 38235 = -5*m, -4*m = 4*o - 2*o - 30584. List the prime factors of m.\nAnswer: 5, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24\/150*-20*-105 is divided by 77.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49 and 3\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7 = -u + 62, -2*u = 2*d - 140. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f**2\/2 + 1786097*f\/2 - 255157.\nAnswer: (f + 255157)*(7*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 56 = -3*r - 0*r, 0 = 3*r - 3*t - 60. What are the prime factors of (-4)\/2*(-184)\/r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -26, -1, -5 in descending order.\nAnswer: -1, -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15904, 16117, 16332, 16549, 16768, 16989, 17212?\nAnswer: 17437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 - 137. Let k = 17.0001005 + x. Round k to six decimal places.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1965*d**2. Let i(s) = 12*s**2 - 10*s + 20. Let g(b) = -11*b**2 + 9*b - 18. Let f(l) = 10*g(l) + 9*i(l). Determine z(f(x)).\nAnswer: 7860*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142 * -50.55.\nAnswer: -7178.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 495, 4\/5, 1.3, 0, 0.1, -1 in descending order.\nAnswer: 495, 1.3, 4\/5, 0.1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2361*l**2 + 4 - 1 - 2 + 4*l - 2425*l**2 + 2*l as i*l + w + u*l**2 and give u.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1423 + 75411\/5692. Let l = 57 + -66. Find the common denominator of (-10)\/l + (-25 - -22) and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28983864 divided by 1\nAnswer: 28983864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -103574, -207120, -310668, -414218, -517770, -621324, -724880?\n\"Answer: -r**2 - 103543*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-27) - (12280\/(-18))\/10. Calculate the highest common divisor of o and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 1. Let h be u(1). Suppose 2*p + 6 = l, l + 0*l + 5*p - 34 = h. Let x = l - -26. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from {i: 2, h: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y**2 + 4*y + 7. Let o(s) = s**3 - 3*s**2 - 3*s + 2. Let j be o(3). Let u(f) = 8*f**2 + 4*f + 8. Let z(h) = j*m(h) + 6*u(h). What is z(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -392\/33 = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, x: 1, b: 1, y: 1, r: 1}. Give prob of picking 1 q and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -46932952?\nAnswer: 46932950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 4498*g - 4507*g + 69.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 399670082 divided by -7?\nAnswer: -57095726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10379?\nAnswer: 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550) + sqrt(550)*-1 + sqrt(550))\/sqrt(11))\/(sqrt(100)\/(sqrt(10) - sqrt(10)*-2)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -12. Let i = 6 + m. Suppose -22*d + 27*d - 2*q - 91 = 0, -3*q + 6 = 0. What is the least common multiple of d and i?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - ((sqrt(65) - sqrt(65)*2)*4 - sqrt(65)))*-2*-1)\/((sqrt(405) - (sqrt(405) + sqrt(405) + sqrt(405)*1))*4 + sqrt(405) + 4*-2*sqrt(405)) + 5.\nAnswer: -4*sqrt(13)\/45 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 1. Calculate d(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(0 + 1 + 1)*(10*x**2 + 143*x**3 - 10*x**2).\nAnswer: 572*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-1)\/(-1) - -5. Let y = -11 + 19. Let u = y - r. Solve 5*j + u + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11689853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 403111110 (base 5) to base 12\nAnswer: 659740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 11*c - 20 = 0. Is 4 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88839 is divided by 830?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.51949 + 161.55751. Let v = -163 + k. Round v to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 0 + 1 - (36 - (18 - -16))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -454, -163, 326, 1013, 1898, 2981?\n\"Answer: 99*h**2 - 6*h - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.581413s to microseconds.\nAnswer: 1581413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88055\/19 or 4634?\nAnswer: 88055\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3*(b\/b**0)\/b*(b**(1\/3))**(-11)*(b**6*b**4)**(1\/11) assuming b is positive.\nAnswer: b**(8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 8 = -b - 2*l, -4 = -3*b + l. Suppose 2*i + 6 = b, 2*t - 3*t - 2 = 2*i. Solve t*x - 25 = -5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 204. Calculate the common denominator of s\/12 + 1\/(-2) and -93\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 107. Let i(a) = -3*a + 14. Let h(y) = -4*y + 11*y - 15 - 14. Let r(q) = 4*h(q) + 9*i(q). What is r(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473077 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 - -2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.98, 0.2, -125\/7?\nAnswer: -125\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199517\/102960 + 2\/6435. What is the common denominator of 61\/160 and w?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(4*t - 3*t - 3*t) + 0*t + t + 0*t - t + 2*t - 2*t + (-t - 4*t + 2*t)*(2 - 3 - 1))*(-4*t**2 + 0*t + 0*t).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 107, 99, 73, 23?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 27*i**2 + 10*i - 6. What is u(6)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -559*d - 273. Let b(p) = -31*p - 15. Let y(c) = 91*b(c) - 5*u(c). Let w(n) = -6*n**2 + 2*n**2 + 3*n**2. Give w(y(x)).\nAnswer: -676*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.69822265 to 2 decimal places.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 0.254, -1\/5, -0.4, 31\/8.\nAnswer: -2, -0.4, -1\/5, 0.254, 31\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 - 29*v - 16. Determine t(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 133*z**2 + 32*z - 2. Let q be (0 - -3)*6\/18*-5. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - n)*(-2 + 4 - 1) + 9*n - 9*n + 2*n + 129.\nAnswer: n + 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5797 - 5799. What is the second smallest value in -0.1, a, -0.0648?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 320, 652, 974, 1280, 1564, 1820, 2042, 2224?\n\"Answer: -u**3 + u**2 + 336*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2, -1\/6, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6 - 64. Suppose -3*a = 2*a - 405. Let i = a + l. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5514.\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132915 is divided by 2827?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q**2 - 8*q - 5. Let x = -9 - -5. Let o be 9 - x\/(4\/(-3)). Is f(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 9891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-65))\/(-1 - (-2)\/4). What is the fourth smallest value in -0.023, -1\/3, 3\/2, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 2*a**7\/105 + a**6\/6 + a**5\/5 - 5*a**4\/6 - 8*a**3\/3 - 33*a**2. Factor h(t).\nAnswer: 4*(t - 1)*(t + 1)**2*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132926947?\nAnswer: 132926947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-126)\/189)\/((-26)\/6). Which is the fourth smallest value? (a) 4 (b) -165 (c) 1 (d) r (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.26. Let h = 62.83 - 64.83. Which is the second biggest value? (a) z (b) h (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 28*v**2 - 1044*v - 2772.\nAnswer: 4*(v - 21)*(v + 3)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + ((1*sqrt(605) + -1)**2 - (1 + sqrt(5) + sqrt(245) + 0)) + -3).\nAnswer: -3030 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-5*sqrt(190)*-2 - sqrt(190)*1*6))\/(-2*(sqrt(160) + 1*sqrt(160)*5)))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-20)\/8)*(-16)\/(-3). Suppose 14*f = 8*f + c. Suppose -5*t - y + 387 = -3*y, -f*t = -2*y - 308. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1394 = 5*h - q, -h + 3*q - 4*q = -280. Find the third derivative of 39*p**3 - 1308*p + 128*p**2 - 9*p**2 + 1306*p - h*p**3 wrt p.\nAnswer: -1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65876832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 19*p + 40346 = -h, 0 = -4*p - 5*h + 40382. Does 97 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*w - v, -3*v - 10 = w - 6*v. Let m(p) = 3*p + 0*p - 4 - 4*p - 4 + 32*p**w. List the prime factors of m(-2).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 - -0.5. Let g = 0.02 - -1.08. Let u = g - 0.8. What is the biggest value in 2\/3, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18640000 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9 = 3*p - 0*j, -2*p = 6*j - 58 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7214?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:49 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13881\/110 - -185\/22. Let w = -135 + z. Suppose -5*s = 15 - 5. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4613334 by -33.\nAnswer: 139798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:58 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*o - 10868 = -49*o - 149*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(49)\/sqrt(7)) - sqrt(2)) + -1)*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m**2 - m + 5. Let u be w(5). Suppose 5*f - 20 = -u*f. Calculate the remainder when 6 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88273 - 72591 = -63*s + 31*s. What is the highest common factor of 44 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from gua?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -6180241778296.\nAnswer: -6180241778299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttt. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-3)))\/(w**(4\/13)\/w))**(3\/14)\/((w\/w**(-1\/2))**(-10\/13)*(w*(w\/(w**(-2\/3)*w))\/w*w)\/((w\/(w\/((w**(-4)*w)\/w)*w))\/w)) assuming w is positive.\nAnswer: w**(-1562\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 66*s + 8 = -61*s, -16 = -2*u - s. Solve 30*l = -u*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**2 + 5*i**2 + 10*i**3 + 4*i**2 + 3*i**2 - 2.\nAnswer: 10*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1577 (base 9) to base 10.\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.09 - -5.8. Let v = a + 2.36. What is v rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 1, 5, 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)*p)**43)**(-5\/7)\/((p**(-3)*p\/((p\/(p*p**(4\/9)))\/p*p))\/(((p\/(p*p*p**(2\/9)))\/p)\/p)**(-1\/19)) assuming p is positive.\nAnswer: p**(-46955\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2. Let a(n) be the first derivative of -3*n**2 - 11*n + 2544. Give a(w(k)).\nAnswer: 36*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xopxxplollxl. What is prob of picking 1 l and 2 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (1 - (-6 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10136, -40228, -90390, -160622?\nAnswer: -250924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011010012 + -12111?\nAnswer: 2010220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 206215803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6900.929588 to 0 decimal places.\nAnswer: 6901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 245\/30 + (-13 - -5). Determine l so that -1\/6*l - 1\/3 - 1\/6*l**4 + 1\/2*l**2 + c*l**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-376)\/(-1598) + (-190)\/85 + 0 + 91\/45\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 1914677 = -241*v - 656599. List the prime factors of v.\nAnswer: 2, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022233 - -211222?\nAnswer: -211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6302889*w**6 - 9434801*w**2 wrt w.\nAnswer: 756346680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by -12.\nAnswer: -77\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*o - 14 - 59, -47 = -2*o - h. What is the remainder when o is divided by (-13)\/(2\/((-2)\/1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 8*v + 5. What is z(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -1717?\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1028, -5, -136836, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 133\/(31920\/(-11820)) - 1\/(-4)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 2*r + 1. Let x(c) = 2759*c**2 - 18*c - 9. Give -18*s(l) - 2*x(l).\nAnswer: -5554*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -c + 30, r - 2*r - 3*c - 14 = 0. Let m = r - -13. Suppose -3*h + 9 = 3*k, 5*h + 17 = 3*k - 0*k. Solve -k*f = -m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-24)\/(-10) - 2. Which is bigger: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3 + 56*d**2 + 5494*d - 181548 = 0.\nAnswer: -54, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + 10. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**2 + 136920*b - 1171692900 = 0.\nAnswer: 17115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-12) + 62\/(-6). Let x be (-7)\/(-3)*q\/(-35). Let y(r) = -r**3 - 12*r**2 + 8*r + 82. Let j be y(-12). Put j, -0.5, x in decreasing order.\nAnswer: x, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 222*x\/11 + 436\/11.\nAnswer: 2*(x + 2)*(x + 109)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2647381, -2647409, -2647447, -2647489, -2647529?\nAnswer: -2647561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clcrlcclc. Give prob of picking 2 l and 1 c.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - 221?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-16)*(-16)\/(-10). Put o, 3, -3, 6 in increasing order.\nAnswer: o, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/8 - 7*g**3\/3 - 2*g**2. Let n(w) = -w**3 + 2*w**2 - w + 3. Let x be n(3). What are the prime factors of h(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1986 (b) 0 (c) -0.4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**4 + 36*h**2 - 30 wrt h?\nAnswer: 4*h**3 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53127929 + 3*m**3 - 53127929.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuejv. Give prob of picking 1 j, 1 e, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 + -107. Let m = a - 85. Suppose -3 = 4*w + m, 28 = 2*y - 5*w. What is the highest common factor of 63 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 + 40*s**2 + 200*s = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*h + 466 = -41*h - 98*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 0.2 (b) -0.33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2.5. Let l = -8 - -7. Let a = 3.1 - 7.1. What is the second biggest value in a, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - a + 4*a = 19, -12 = -3*a. What is the remainder when 18 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 3*r - 958*r**3 + 136*r**2 - 136*r**2.\nAnswer: -958*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1. Let j(a) = -2*a + 1. Let n be j(1). Let r(v) = -v + 6. Let h(l) = -l + 2. Let c be h(8). Calculate c*m(f) + n*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 905.6488 to 0 decimal places.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8577 and 0.5?\nAnswer: -4288.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1669 and 18?\nAnswer: -30042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -27*f - 1353. What is o(-52)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6 - 8*o**3 + 8 - 10 - o**4 + 3*o**4 as x + l*o**2 + d*o + u*o**3 + s*o**4 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41252863 to the nearest integer?\nAnswer: 6423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(1 + sqrt(99)) - sqrt(176)*1*-1).\nAnswer: -5*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 253321\/8 - 31743. Let s = 78 + c. Which is greater: s or -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102815491 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*c + 4*c + 20*c - 9*c in the form u + g*c and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 - -194. Let v = -949 + 1032.8. Let q = v - o. Round q to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -28*m**4 + m**3\/2 + 15*m**2. Is x(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107.3 - 107.27638. Let b = -0.022 + j. Round b to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - (1\/(-8*(-9)\/720) - 4). What is g in 0 + 18\/7*g**m - 212\/7*g**2 - 48\/7*g = 0?\nAnswer: -2\/9, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8372 is divided by 2789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njykhkoon. Give prob of sequence ko.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128642 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8*j = -19827. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) + (-470)\/(-20). Which is bigger: 25 or x?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-75)\/24 + 3 - (-5)\/120*51. Solve 3*t + 42*m = 38*m - 28, -c*t = 2*m + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 3*b + b - 3*u, -6*u - 3118 = -130*b - 4*u for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 + i**3)*(-3*i - i + 6*i) - 4*i**2 + 4*i**2 + 45*i**4 + (-3*i**3 + i**3 + 3*i**3)*(0*i + 0*i - i).\nAnswer: 46*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*q + 2397 = 68*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-10)*9\/18*-10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = 15*v + 360. Let r be (-22)\/55 + -2 + (-24)\/v. Let j = -24\/19 - -350\/247. Which is greater: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dov when three letters picked without replacement from mmkmmdovmkmdkdddkd?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = -4*j + 30, 3*m + 5*j - 31 = 0. Suppose -r = -m*r + 4. Let c(q) = -q + 7 + 5*q - 2 - 3 - 8. What is c(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 7 - 6 + 11 - 5*a as n*a + d and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80d3 (base 15) to base 12.\nAnswer: -138a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4445 = 236*c - 418 + 6357 for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 332, 3, 23\/5, -1 in decreasing order.\nAnswer: 332, 23\/5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, -0.2, -3, -3.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 110*x - 3. Let a(l) = 2*l. Calculate b(a(j)).\nAnswer: 220*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than or equal to -162631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c)**(3\/4)*(c*c**(13\/3)\/c*c)\/c**(1\/10) assuming c is positive.\nAnswer: c**(89\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -939.36134 and 0.3.\nAnswer: -281.808402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 367692869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-426)\/(-18) - 2\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 0 - 0) + (2 + -4 + -7 - 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.236 + -0.2457. What is b rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -941.\nAnswer: -25\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1156 - -1156. Is o equal to 43\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1233 + -22?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22738*h + 92 = 22715*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*t - 1239*t + 633*t.\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/96 and -53\/8722080.\nAnswer: 8722080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*b - 50, 2*q - b = -2*b + 110. Suppose 0 = 5*a - 2*g - q, 0*a - 3*a - 2*g = -40. Calculate the least common multiple of a and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 457 - 282. Calculate the highest common factor of x and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58402950?\nAnswer: 2, 3, 5, 83, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p - 3. Let q(o) = o**3 - o**2 - 4*o + 1. Is q(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**(3\/10))\/c**(-1\/7))**12)**(2\/29) assuming c is positive.\nAnswer: c**(1548\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-32))\/(785\/628).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**2 - 5*a**2 - 4*a**2 + (1 + 0 + 0)*(-4*a**2 - a**2 + 0*a**2).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 divided by 4?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 51*q**3 + 1. Give f(1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4030 - 2266. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354.914937 rounded to 1 decimal place?\nAnswer: 354.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -16*x**3 - 21*x**2 + 42*x + 533. Let f(u) = -u**2 - u + 1. What is 126*f(p) - 3*g(p)?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from uiii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 4)*7\/(-98). Suppose 2*y = g - 2 - 0, 2*g + y - 9 = 0. Which is the closest to j? (a) 3 (b) -2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by -569?\nAnswer: -188\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21112309 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56638281161 - 56638281154 + 113276562315 + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + h + 14, 4*n + 10031*h - 10033*h + 12 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-9) - (4 - (-922494638)\/(-234)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/7 - (-2)\/(-7). Let o(i) be the second derivative of -i**3\/6 - 7*i**2\/2 + 308*i. Determine o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let h be i(-5). Suppose 0 = -5*t - h*f + 125, -4*t - 3*f = -0*f - 99. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**4))**(-4\/19) assuming w is positive.\nAnswer: w**(16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 6*m - 1925. Let h be l(-41). Which is bigger: h or 119\/38?\nAnswer: 119\/38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70144.3 + 73467. Round r to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84646 + 48135438?\nAnswer: 48050792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 529021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16379 + -2029. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*h - 2834 = 3623, -5*m + 10775 = 4*h. Let q = m + -1499. What is q rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-35) + 174\/10 + 2. Let j(w) = w**3 + 7*w**2 - 2*w + 5. Let f be j(-7). Calculate the greatest common divisor of f and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2740\/160 + (-1)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*t + 18, -56 = 4*x + 4*t - 4. Let w(v) = v**2 + 13*v + 72. Calculate the remainder when w(x) is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088*v + 5 - 1085*v + 6.\nAnswer: 3*v + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11104 - 11104. Let t = -31 + 19. Which is the biggest value? (a) j (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 - 2\/(-3). Let s = 89\/110 + -1\/110. Which is greater: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28769?\nAnswer: 13, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3456, -6356, -8696, -10476, -11696, -12356, -12456?\n\"Answer: 280*n**2 - 3740*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -69. Let l = h - -12. Let i = 86.4 + -86. Sort i, l, -16 in increasing order.\nAnswer: -16, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*5*(-6)\/195?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1103*212702.\nAnswer: 23461.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/4))**(1\/64)\/((l**(1\/3)*l)\/(l*l**(-2))))\/(l**5*l**0*l*(l\/(l*l**(2\/7)\/l))**(17\/4)) assuming l is positive.\nAnswer: l**(-61015\/5376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 1. Let z be u(8). Let q = 4 + z. Sort -2, 0, q.\nAnswer: q, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(1872) + 2 - sqrt(1872)) + sqrt(1872) + -1 + 0)**2 + -4.\nAnswer: 168*sqrt(13) + 1917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 1, k: 1, o: 3, s: 1}. What is prob of picking 1 s and 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/37 + 284\/1295. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 6044*g**2 + 12104*g.\nAnswer: -4*g*(g - 1513)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36720955884743\/225900640 + -344776258\/2121. Let y = 4\/1997 + b. What is the common denominator of 59\/6 and y?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -10) + -3 - (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284203 or 284124?\nAnswer: 284124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 - (-628)\/20. Suppose -4*t + 6 = -t. Suppose -s = -5*a - 28, 4*s - t*a = s + y. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*l - 4*t - 23, -4*l - 3*t - 22 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, -1\/8, 5, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7 + 1 = 0. Differentiate 2 - 5 - q - 6*d**4 with respect to d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1592 and 5373?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 2*a**2 - a**2 + (4*a - 5*a - 3*a)*(-2*a + 5*a - a))*(0 - 3 - 3).\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -21894*q**2 + 6*q - 2. Let h(x) = x**2 - x. Let m(f) = -5*h(f) - k(f). Let n be ((-4)\/6)\/(4\/(-18)). Let i be m(n). Round i to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)*k)**(-1\/34)*k**(-2)\/(k\/(k\/(k\/(k*k**0*k*k)))) assuming k is positive.\nAnswer: k**(-7\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 - -10?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 4. Let g be ((-8)\/14)\/(b\/7). Suppose 7*w + 203988 = -g*h + 3*w, -3*h = -5*w + 306015. What is h rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 - 11*g**2 - 3*g - 22. What is n(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 65 - (151 + (76 - 281))\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 6 = 21*q. Solve q = -s + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -303*j**3 - 300*j**3 + 611*j**3 + 12*j**4 - 3*j**2 - 5*j + 6*j to i + x*j**4 + u*j**2 + h*j**3 + a*j and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -28.04. Is 0.02 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 2*b. Let h be p(-2). Suppose 3*y - 15 = -h. Solve y = -3*x - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1872) + sqrt(1872)*1 - sqrt(1872)) + -5 + (sqrt(1872)*-1 + sqrt(1872))*-2 + -5 + (-2 + sqrt(13) + -1 - -1*(0 + sqrt(13))) + -5)**2.\nAnswer: -588*sqrt(13) + 2989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let s(c) = 2*c + 2. Let u be s(b). Suppose -u = 6*h - 2*h. Put h, 5, -3 in ascending order.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/1)\/(-2 + 1). Let a be 1*(-2 + (2 - -1)). Let t be c*1*a\/(-2). Which is bigger: t or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -159*w + 95*w + 576 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -17 - 2\/15*p**3 - 18\/5*p - 6\/5*p**2. Factor l(b).\nAnswer: -2*(b + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13240 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283636, 1134732, 2553302, 4539358, 7092912, 10213976, 13902562?\nAnswer: 18158682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukoo when four letters picked without replacement from uukuuokuuuo.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53.2 + -53. Suppose 3*g = 2*p - 15 + 2, -5*p - 2*g = 15. Let x be (2*5)\/(-2) - p. Which is the second biggest value? (a) 3 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 500 = 3*s, 2*d + s = 187 + 313. Let g = 255 - d. Solve -7*z = -g*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -30272251?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -73, -224, -507, -964, -1637, -2568?\n\"Answer: -7*h**3 - 3*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -109501, -218922, -328329, -437716, -547077, -656406?\n\"Answer: c**3 + c**2 - 109431*c - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, z: 1, v: 2, q: 4, o: 2}. What is prob of picking 1 k, 1 v, and 1 o?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -23*g**6\/60 - g**5\/30 - g**4\/12 - g**3\/6 + 17*g**2. Let i be b(-1). Let z = i - 43. Solve z = -2*x + x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -797\/853 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 262*j**2 + 25303*j - 25303*j to the form c*j + r + k*j**2 and give k.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 + 2 = 0. Let j = 39 - m. Calculate the remainder when j is divided by 50\/15*6\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16102 or 16170?\nAnswer: 16102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u*u**(8\/7)*u)\/u)\/u**(1\/2))\/(u\/u**5*u**3))**(8\/15))**(-42) assuming u is positive.\nAnswer: u**(-296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 + 19*i**2 - 3265*i - 530972.\nAnswer: -4*i**3 + 38*i - 3265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*z + 51*z = -2*v + 12706, v = 6*z + 6353. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = -a + 2, -3*l + 10 = 2*a. Suppose -5*x + 56 = 3*o - 3, 0 = 4*o + a*x - 77. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -229.593 and 3.\nAnswer: -226.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13465*t**3 + 13464*t**3 - 26844*t**3.\nAnswer: 85*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/((o*o\/(o*o**2))\/o*o*o)*(o**(-2)\/o)\/o*o*o**2)\/((o**0*o*o)**16)**(1\/64) assuming o is positive.\nAnswer: o**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 1) + (3 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-24 - 1) - (-109 + 21 - -88)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 7 + 17. Put b, 0, -4 in ascending order.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208253323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 3*n = 2, 0 = 2*x - 3*x - 4*n + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:19 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.89 and -3691.3.\nAnswer: 3285.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 = 6. Let p(m) = m - 3. Suppose 5*u - 12 = -2*r + 3*r, -4*r - 4*u + 24 = 0. Let g be p(r). Solve g = 3*c + b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, -3, 1\/8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -6, 1\/2, -0.2 in decreasing order.\nAnswer: 1\/2, -2\/15, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800935?\nAnswer: 5, 41, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p = -318 - 342 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.945 times -0.01?\nAnswer: 0.01945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397 + 386 = -11*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9 - 34 = 0. Let f be (1*-142)\/(12\/(-3) - -3). Let i = f + -145. Sort 2, i, y in ascending order.\nAnswer: i, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675696250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13965802?\nAnswer: 2, 6982901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8964 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1)*(-18)\/(-3). Let s be (11\/(-42933))\/(1\/i). Let h = s + -134039\/23418. What is the common denominator of h and 113\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1475 (base 11) in base 16?\nAnswer: -769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:28 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 16 = -3*b, 5*r = -b + 175 - 189 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5810055.\nAnswer: 3, 5, 79, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/484)\/((-10)\/22)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17 + -43.83. Are -0.1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 2. Let f be g(-2). Let t(o) = o**2 - 9*o - 6. What is the remainder when t(-6) is divided by 1\/f - 585\/(-20)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 122580 - 1012?\nAnswer: 121569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -70. Let n = t + 70. Let -1\/4*k**4 + 0*k**3 + 0*k**n + 0 + 0*k = 0. What is k?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2978 + 2981. Solve -5*j = 15, 4*r + 8*j - a*j + 3 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (880\/64)\/((-2)\/(-16)*2). Let s be 1*2\/(-8)*(-40)\/v. Let w = 4.15 + -0.15. What is the closest to w in 2, -0.4, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5\/5 + 4718*p**4\/5 - 9432*p**3\/5 - 2*p**2\/5 + 9433*p\/5 - 4716\/5 = 0. Calculate p.\nAnswer: -1, 1, 4716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*x + 30 = 5*x, -3*l + x + 10 = 0. Suppose 4*n = -4*r, -3*r + 3 = l*n + 8. Solve -6 = -5*d + 3*p, 6*p = -3*d + r*p + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10 = 3*l, -g + 6*g - 14 = 3*l. Suppose 13*j - 8*j = 10. Suppose 0 = -j*z + 3*z - 5. Solve -4*n + 1 = z*m - g*m, 4*n - 2 = -2*m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -3*q**2\/2 + 3. Let t be (-1)\/(-2*1\/6). Let b(f) = 18 - 18 - t*f + f. Calculate l(b(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 159627105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1992 and 1344.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48014106 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**2\/5 - 276*l - 1384\/5 = 0?\nAnswer: -1, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from cffccffcfcccfccffcf.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*d**2 + 1 - d**2 + 4*d**2 + 0*d**2 + (-3*d + 4*d - 2*d)*(-2*d - 3 + 3))*(16*d - 2*d + 6*d) to g + u*d**3 + x*d + s*d**2 and give u.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**3 + 2*x**2 + 4. Let i = -4 + -147. Let v = -142 - i. Let n(z) = -11*z**3 - 4*z**2 - 9. Calculate v*j(r) + 4*n(r).\nAnswer: r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2312 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -2753996950777.9.\nAnswer: -2753996950777.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 64 + 5*f - 6*f + 35*f**2.\nAnswer: 32*f**2 - f - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -331081475 - -168399071. Let r = b - -162683428.99321. Let w = 1025 - r. Round w to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 285837991*b - 250278039 wrt b.\nAnswer: 285837991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16630, -31488, -46334, -61162, -75966, -90740, -105478?\nAnswer: -120174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 2*p + 21. Let r be g(7). Suppose -12*n + r = -11*n. What is the remainder when n is divided by 82?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838*b + 175115 = 138243 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 45745, -2, -0.2, 38, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1 - 14\/6). Let h = 13 + o. Let m(n) = 3*n - h*n + 5 + n. Determine m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 2*a + 1. What is g(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mommjmommmmzmmm. What is prob of picking 2 o?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45497 = -3*s - x, -4*x + 6 = -x. Suppose 5*t = -5*f + 46270, 3*t = 4*f + s + 12569. What is t rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -11*y**2 - 5*y + 5. Let f(v) = -39*v**2 - 18*v + 18. Calculate -5*f(z) + 18*q(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**5\/20 - i**4\/12 - i**3\/6 + 35*i. Let p(m) = 42*m**3 + 35*m**2 + 35*m. Let c = 37 - 2. Determine c*x(f) + p(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3788266?\nAnswer: 2, 463, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-10)\/m*m)\/m*m**(-15)*m*m**(2\/37)\/m**(-2\/13))**(-4\/23) assuming m is positive.\nAnswer: m**(45776\/11063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4110 and 1215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16616)\/1474)\/62)\/(1\/(-374))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 8*s - 1. Let o be m(-9). Suppose -o*v - 10 + 50 = 0. Suppose -v*d = -2*d + 9090000. Round d to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.18 - 4.08. Let o = 1172 + -1174. What is the nearest to o in -10, -0.4, 0, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40327 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/3)\/d))\/(d*d**(2\/41)\/d*d*d) assuming d is positive.\nAnswer: d**(76\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1357.9 - 1295. Let s = -53.69 + i. Let z = s - -0.99. Round z to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10820368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a - 0?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1203 = -69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.022 and 522977.8.\nAnswer: 11505.5116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*a - 157*g + 158*g, -2*a + 4 = g for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**5 - 108*k**4 - 554925*k**3 + 9450426*k**2 + 25762070340*k + 51481901400 = 0?\nAnswer: -295, -2, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-3 - 0) + -1. Let n = 1.6 + 0.4. Let j = 3.48 - 3.98. Which is the closest to y? (a) j (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 449274 * -0.2.\nAnswer: -89854.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -2*i**7\/7 + i**6\/120 + 11*i**4\/3 + 13*i**2 + 3. What is the second derivative of t(j) wrt j?\nAnswer: -720*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 - 4*q**2 + 4*q. Let b = 42 - 38. Let x(m) = m**2 - m. Calculate b*x(r) + c(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p. Let c(u) be the first derivative of -u - 1. Let i(k) = -k + 4. Let j(q) = 4*c(q) + i(q). Determine j(a(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 189. Let h(n) = 2*n**2 - 3*n + 2. Let t(w) = 23*w**2 - 33*w + 22. Let b(d) = -22*h(d) + 2*t(d). What is b(r(q))?\nAnswer: 8*q**4 - 1512*q**2 + 71442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z\/(z**6*z))\/((z**1*z)\/z**(-2)) assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 - 226859342352.\nAnswer: -226859342352.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**3*v - 606053*q**3 - 4*q**2*v - 29*q**2 + 8*q*v - 4*q + 2*v + 7 wrt q.\nAnswer: -18*v - 3636318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998026 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y**3 + 1181*y**2 - 116*y - 242. Determine p(118).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -481.000694 to two dps.\nAnswer: -481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.224334 nanograms in micrograms?\nAnswer: 0.000224334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*i - 22 = 0, -4*p + i + 8 = -2*p. Let w be (-2 + 3)*(-2)\/p. Suppose 0 = 2*h + 2*h + 12. Which is the nearest to -0.3? (a) -1 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.3 + -3. Let o = 0.07 + -6.97. Let n = o - -7. What is the closest to n in -2, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2291828802 to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, g: 1, c: 1, s: 2, q: 3}. What is prob of sequence gqq?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. Let q be 5199\/9*(d - -196). Suppose 4*y - q = 107355. Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/38 or 745?\nAnswer: 745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o - o)*(70*o + 88*o - 9*o) + (2*o + 0*o + 0*o)*(-o + 4*o - o) + (2*o + 3 - 3)*(-o - 4*o + 2*o).\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.6 and 0.89.\nAnswer: 10.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqwhyppyyypyqy. What is prob of sequence pp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 3. Let d(r) be the first derivative of r**4\/4 - 3*r**3 + r**2 + 13. Is d(i) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*v - 468 - 1116 = 0, -a - v = -778. Let x = a + -223. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4685 - 124*a - 4685)*(-19 + 19 - 2*a) + 5*a**2 - 4*a**2 - 3*a**2 as f + k*a**2 + c*a and give k.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 77 + 45 - 122 - 19*v. Let c(d) = 12*d**2 - 27. Let k(y) = y**2 - 2. Let b(q) = 2*c(q) - 27*k(q). Calculate r(b(u)).\nAnswer: 57*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2071 divided by 12?\nAnswer: -2071\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 4*t**2 - t**2)*(3 - 4 + 0) + t - 5*t**2 - t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + -101 + 39 + 227.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 58 = -k. Let a be -4*(0 + 0 - 1). Suppose 3*x + l = -0*x + k, 2*x + a*l = 10. Calculate the remainder when 24 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + h + 0*h)*(-280 - 176*h**3 + 280) + h + h**4 - h in the form w*h**4 + i*h**3 + c*h**2 + p*h + g and give w.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*w + 157755 - 141681 = 0 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 22300244?\nAnswer: -22300304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 3*k + 1. Let d be h(3). Let g = -46 + 48. Suppose g*n = 3*n - d. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196838?\nAnswer: 2, 3, 66491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 29*l. Let p(v) = -16018*v. Determine c(p(d)).\nAnswer: -464522*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549765?\nAnswer: 3, 5, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/234 - 11648\/(-32448)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*m - 876 = -m + 99*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4 - 52. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(3*sqrt(8)*-2).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/g**(5\/2))*g**(4\/3)*g*g\/(((g*g*(g**(-2\/5)*g)\/g)\/g*g)\/g)*g\/g**(3\/7) assuming g is positive.\nAnswer: g**(1009\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100012 (base 3) in base 15?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(2 + (-7)\/2). Suppose -5*j + 5 - 14 = -2*l, -5*l + 30 = -5*j. Find the second derivative of -l*t**n - 2*t - t + 8*t**3 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 4*k + 11. Let b(m) = m**2 + 2*m + 5. Let q(p) = 7*b(p) - 3*g(p). Give q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - 43?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 358 - 354. Solve k*m = 12*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1386, -2730, -4040, -5322, -6582?\n\"Answer: -n**3 + 23*n**2 - 1406*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4123 at least as big as 16591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 570 - 247. Calculate the remainder when g is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5. Calculate the smallest common multiple of 2 and (1 - -1 - -8)\/h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l**0))\/l))\/(l\/(l\/(l*l**(3\/4)))*l)*(l**(1\/9)\/l)\/l*l*l\/l**5*l assuming l is positive.\nAnswer: l**(-167\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85757975?\nAnswer: 5, 53, 59, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1, -91\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/21 - (-160)\/(-140).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530099.\nAnswer: 37, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t - 32 = 0. Sort -3, t, -5 in decreasing order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -293542005*t**2 + 179238429?\nAnswer: -587084010*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -4\/7, -493, 138 in increasing order.\nAnswer: -493, -42, -4\/7, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 63680.03 to the nearest 1000.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -3\/2*d**2 + 5 + 0*d. Let l(j) = -2*j. Give o(l(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*c - c - 154, 0 = -2*g - 4*c + 52. Let y be (-3)\/((-1)\/(-6)*-1). Let k = g - y. Calculate the remainder when 26 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.4301064 rounded to 2 dps?\nAnswer: 65.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/330*-2*(-11607)\/(-106) and 73\/68.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 23*n**5 + 15*n**2\/2 - 2*n + 132. Find the second derivative of o(y) wrt y.\nAnswer: 1380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = -2*v + 76, -3*v = 24956*i - 24953*i - 96 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 8. Suppose 13*s = p*s. Suppose 2 = v - 2. Solve s = -v*m + 3*u + 15, -u = 4*m + 3*u - 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + -1)*58\/(-54) + -1. Sort 1, t, -1\/8 in descending order.\nAnswer: 1, t, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let t be b(5). Let h = 7 + t. Suppose 0 = h*u - 2 - 4. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*m**2 + 14*m**2 - 33*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and -6 + 44 + -1 + (-8 - -7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14383?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10642 is divided by 367.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 405d1 + 286?\nAnswer: 40877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {t: 1, a: 1, q: 3, n: 1, p: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3 - 62*k**3 - 86*k**3 + 22*k**3 + 65*k**2 wrt k?\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 339224022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.6 + 18.6. Sort 0.1, 1.7, o.\nAnswer: 0.1, 1.7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*s + 82, -2*s = -b - 38 - 34. Suppose -161081 - 3199 = -224*c - 331*c. What is the greatest common factor of s and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 l when four letters picked without replacement from llcccycyc?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:04 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166 by -45.\nAnswer: 166\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*z - 53*z + 21*z)*(-4*z + 7*z - 2*z) to the form n + v*z**2 + i*z and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 54*u**2 + 3*u**3 - 28*u**2 - 26*u**2.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-34 - -1) + (-3 - 1) + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/3 + 2070212*o**2 - 68316754*o\/3 = 0. What is o?\nAnswer: 0, 11, 3105307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 0*m**4 - 4*m**4 - 5 + 5 - 3*m**4 + (-4*m**2 + 2*m**2 + 3*m**2)*(0*m**2 + 5*m**2 - 3*m**2).\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-17)*94\/(-1081)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 10*b**2 + 10*b + 13. Let x be p(-9). Find v, given that 13*v**4 - 7*v**2 - 4*v - 30*v**x + v**2 + 19*v**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((80\/6)\/(-10)). Suppose 0 = -2*m + 4*m + 5*u - 593, f*m - 880 = 2*u. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -s + 2*s, -5*s + o - 6 = 0. Let p be (6\/6)\/(s\/(-3)). Solve 0*m + 3 = g - m, 2*g - 5 = p*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793971 divided by 1877?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22631947?\nAnswer: 13, 17, 102407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - 39. Let z be (-170)\/p*156\/196. Let l = z + 16\/49. Which is bigger: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v + 4*d - 0*d, 6 = 2*d. Suppose -8*c + v*c = -26. Find the common denominator of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 428*f - 63138. Give r(-116).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -15*a - 130. Is 3 a factor of t(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 898*0.04.\nAnswer: 35.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(-6))\/(7\/(-196)*-20 + 1628\/(-1554))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-1))\/(22\/33) - 2. Let t(g) = g**3 + g**2 + g + 1. Let y be t(-1). Suppose w + 2*w = y. Solve w = -5*z + 10 + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 3, 8, -135 in descending order.\nAnswer: 8, 6, 5, 3, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-30) + 5\/75*-118. Is 152 + 4\/v*6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-12))\/((-10)\/8*17\/(-85))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {w: 3, q: 6, g: 5, r: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 6*t + 4*t + (3*t - 3*t - t + (1 - 2 + 3)*(6*t - 3*t - t) + 3*t + 2*t - 4*t + t + 3*t - 3*t)*(-3 + 6 + 11) as n*t + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0\/(-1))\/3)\/1. Let n(r) = y + 27*r + 214*r + 0 + 1. Let v be n(1). Calculate the highest common divisor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 19 = -5*b, -6*b = 5*f - b - 35. Let w(h) = -35*h + 1473. Let x be w(42). Solve f = -x*p - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 5, -1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -5*b + 6*o + 3851, 5*o = -b + 766. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*s = 27. Suppose -75 = -s*x + 21. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -3)*2 + sqrt(72).\nAnswer: -6 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 1\/3*b**6 + 0 - 5\/6*b**4 + 9\/10*b**5 - 2\/3*b**3 + b - 1\/3*b**7 + 0*b**2. Solve v(m) = 0 for m.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-7 - -12) - 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q = 139123 - 541531. What are the prime factors of q?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/48 + 5*j**3\/12 - 2*j**2 + 92*j - 149. Let a(h) be the first derivative of i(h). Find x such that a(x) = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0)\/y*(y*y**2*y)\/y)\/(y**1)**(-31) assuming y is positive.\nAnswer: y**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -17 + (-5 - -18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*r*s - 47*a*s*t + a*t - r*s*t**3 + 10*r*t**3 - r*t**2 wrt s.\nAnswer: -2*a*r - 47*a*t - r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.302418*2.\nAnswer: -4.604836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 9237\/5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 32373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 bigger than 392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*g + 0*g = 27, -2*u - 4 = -2*g. Suppose u*m = m. Suppose -2*p - p - 3*n + 24 = m, p - 8 = -2*n. Solve 0 = 5*o + 28 - p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 325, 1257, 2799, 4951, 7713, 11085?\n\"Answer: 305*w**2 + 17*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 280438365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffsffffmfsfff. What is prob of picking 1 j, 1 f, and 1 s?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13281611.\nAnswer: 7, 67, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.04, -183, -0.5 in descending order.\nAnswer: 1\/3, 0.04, -0.5, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 16\/13?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2 - 394*p + 1191 = 0.\nAnswer: -397, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 212206 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:06 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 35*p**3 - 3*p**2 + 5*p - 4. Let u be o(3). Let c = -591 + u. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 26. Find the common denominator of (0 + g\/(-10))*1 and 89\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 42 = -6. Let h be 783*106 - -2 - (8 - y). What is h rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34009817 rounded to 3 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -23201, 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (24\/7)\/(23\/((-1449)\/(-18)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**2\/6 + 1505*v\/2 - 2255\/3 = 0 for v.\nAnswer: 1, 902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -5*z - 43, -49*h = -z - 44*h - 39 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n. Suppose -2*d + 3*x = -91, 2*d - 2*x - 96 = -n*d. What is the remainder when d is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*w**4 + 8*w**4 - 12*w**4 + (-64*w**2 - 52*w**2 - 34*w**2)*(w**2 - 3*w**2 + w**2) to p*w**4 + o + j*w + y*w**3 + a*w**2 and give p.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 43717*j\/5 - 22377082\/5.\nAnswer: -(j + 518)*(j + 43199)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (10\/6)\/((-1395)\/(-5766)*(-4)\/(-18))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*w**2 + 41*w**2 - 394 + 394.\nAnswer: -160*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (34\/6 - -1)*(6 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -6462?\nAnswer: 2\/3231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 29*f**2 + 551*f - 212. Let m be b(42). Let p be 708\/(-30)*(-10)\/66. Let j = -166\/33 + p. Is m smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**2 + 3*d - 3*d)*(7 - 3 - 6)*(2 + 0 - 1) to a*d**2 + q*d + z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000527 to 6 decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d + 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r - 48. Let c be p(-9). Suppose 2*j = -5*q + 9, 4*j + c = -5*q + 3*q. Solve 0 = -4*b + 5*v + 16, -5*v - 29 = q*b - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 3*x**3 - 3*x**3 - 3*x**3 + 5*x**3 - 21*x**3 - 2*x**3 - 9*x + 9*x + (-x**2 - 4 + 4)*(1 - 1 - x) - 4*x**2 + 2*x**3 + 4*x**2.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2\/9, 2, -72 in decreasing order.\nAnswer: 2, -2\/9, -1, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33123786?\nAnswer: 2, 3, 17, 324743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 8:00 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 8462935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 4*l - 1. Let v be c(0). Let w be v - (-15)\/(-3)*(-3)\/5. Solve 5 = -s + t, 2*t = -w*s - 2*t + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2.9, -43, 2\/11, 2, -5, -13, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3 + 3)*(-4*i**3 + 3*i**3 + 2*i**3) - 1266 + 1266 + 45*i**4.\nAnswer: 43*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*((1*sqrt(114) - sqrt(114)) + sqrt(114)))\/((-4*sqrt(6)*-4 + sqrt(6))*-5))**2 + 4.\nAnswer: 1175\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -327340.5009 to the nearest 1000.\nAnswer: -327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -879062\/9 + 97418. Let d = a + 256. Factor 2\/9*n**2 + d*n + 0.\nAnswer: 2*n*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 6*g. Solve 3*d - 15 = 3*h - g, 0 = -2*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 11:02 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 2. Let c(v) = -32 - 6*v + 12 + 22 + 11. Let r(m) = 6*c(m) - 39*n(m). Give r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, g: 3, o: 2, q: 1, u: 2}. What is prob of picking 1 v and 2 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 21. Let k be m(-18). Put k, 0.02, 3 in descending order.\nAnswer: 3, 0.02, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4803406 to the nearest integer?\nAnswer: 2192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by -1515822?\nAnswer: -58\/757911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 3*r**4 - 2*r**2 - 9*r - 3 + r**3 + 9*r as d*r**3 + i*r**2 + v + p*r**4 + h*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.8373053 to two decimal places.\nAnswer: -34.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 1152*j**3 + 82908*j**2 - 10368*j - 746496.\nAnswer: 4*(j - 3)*(j + 3)*(j + 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02892 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -77\/2*m**2 + 91 - 5\/3*m**3 - 30*m. Factor i(v).\nAnswer: -(v + 15)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*((-9)\/3 + 3). Let q = 54 + u. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731827?\nAnswer: 731827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i - 486. Let t = i - -225\/2. Find the common denominator of (-136)\/50*15\/6 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c = -727 + 746 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + -7)*(1 - 43\/(-2)). Suppose 5*n - 2*f - 531 = 0, -89 - 127 = -2*n + 2*f. Calculate the highest common factor of z and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1720.8 - 1721. Which is the closest to -5\/9? (a) 0.7 (b) -0.9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*f**3*i*w + f**3*i + 3*f**3*w + 336*f**3 - f**2 + 29*f*i*w + 7066*f*w wrt f.\nAnswer: 156*i*w + 6*i + 18*w + 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/9 + (-592)\/72. Let b = c - -12. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2437*y**2. Let t(g) = -84*g. What is q(t(w))?\nAnswer: 17195472*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/30)\/(-11*(-13)\/(-6435))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, l: 3, d: 2, g: 6, c: 2}. What is prob of picking 1 c and 2 l?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose g - 6*i = -i - 58, d*g + 68 = -2*i. Calculate the common denominator of 2\/4*g\/5 and 45\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/5, 2, 2\/3, -3\/2 in increasing order.\nAnswer: -3\/2, 2\/3, 9\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8366129?\nAnswer: 8366129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-12)\/s*s)\/(s**(6\/7)\/s))\/(s**(-2\/7))**10)**(-43\/4))**3 assuming s is positive.\nAnswer: s**(1161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8375.98621 rounded to the nearest 100?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7725871, 7725881, 7725897, 7725919, 7725947, 7725981, 7726021?\nAnswer: 7726067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541160 a multiple of 668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:47 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 904\/18 - (-4)\/(-18). Find the second derivative of -9*r - 23*r**2 + n*r**2 - 27*r**2 - 13*r**4 wrt r.\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328329367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/9*o**2 + 52\/9*o - 160\/9 = 0.\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*l = -2*l + 180 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/50382 and 143\/9330?\nAnswer: 251910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4) - 2\/4. Let m(w) be the third derivative of 7*w**5\/15 + w**3\/3 - 347*w**2. Let a be m(y). What is the greatest common factor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/15)\/(f**(3\/7)\/f*f))\/((f**(3\/4)\/f*f)\/((f\/f**(-9))\/f)) assuming f is positive.\nAnswer: f**(3229\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 17 + 773*v + 1426*v + 2694*v - 17. Let m(j) = j. Give m(a(x)).\nAnswer: 4893*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3725 or 0?\nAnswer: -1\/3725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4*-2)\/(138\/92)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -1, 10 in descending order.\nAnswer: 10, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-759600)\/27*(-105)\/(-14). What is r rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*n - 3*c = -261*n - 62, -4*c = 8. Solve -8*o + 25*o - n = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407654.\nAnswer: 2, 13, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -430*g*r**2 - 3*g*r + 5*g + 2*r**2 + 3*r wrt r?\nAnswer: -860*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + 72*b**2 + 405*b - 16. Calculate m(-29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 2)\/6 + 24\/(-13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1340997*0.33.\nAnswer: 442529.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or -3.784?\nAnswer: -3.784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.58 or -3?\nAnswer: -2.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.025, 1\/8, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 334158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c - 3*c - 1368 = 0. Suppose 11*p - 13*p - 8 = 0, 2*k - 5*p = -c. Sort 5, k, 3.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16*19863\/63)\/(8\/28).\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3424744\/7 - -13637292087\/27874. Let d = g - -28\/181. What is the common denominator of (-9 - -2)*(-20)\/(-8) and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*p - 8 = -2, 3*p + 2 = t. Solve y + 4*m = -t + 1, 4*y - 4*m = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k - 24 = -39*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5320)\/90 - 14 - 4520\/(-4068).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20488, -20489, -20490, -20491, -20492, -20493?\n\"Answer: -b - 20487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/27 and 47\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344132403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3156.828 to the nearest 10.\nAnswer: -3160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119031508841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + l**2 - l + 21. Let b be d(0). Let x be (-7)\/(b\/12) + 2 + 1. Which is smaller: x or 3\/74?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggl when four letters picked without replacement from {l: 1, c: 3, q: 2, g: 7, i: 1}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 - 1572?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4896 and 47430.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b - 9 - 2 + 24 with respect to b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 2*w + 3. Suppose 0 = -5*t - 8 - 2. Let g be ((-3)\/5)\/(t\/10). Determine y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -13*h + 3. Let w(r) = -90*r + 20. Suppose 0 = -3*i - i - 48. Let m be (-3)\/i*(17 + -5). Let a(j) = m*w(j) - 20*q(j). Let t(l) = 2*l. What is a(t(k))?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26268.\nAnswer: 2, 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 8 = -4*p. Differentiate -3*o + 2*o + 1 - 2 - p*o wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8530*b - 42759. Determine j(5).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1872 - -1893. Solve 9*l = x - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9769179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14428, 29054, 43680, 58306?\nAnswer: 72932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4048*l + 16. Let a be q(2). Suppose 2*s - a = -14*s. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4275, -4368, -4605, -5058, -5799?\n\"Answer: -12*u**3 - 9*u - 4254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295, -635, -991, -1369, -1775?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 18}. Give prob of picking 4 o.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 113 (b) 0.105 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20012 divided by -2\nAnswer: -10006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 651 + 289 = 4*n. Let h = n + -151. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 66, 96, 126, 156?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919918911?\nAnswer: 43, 643, 69439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/52416 and -151\/96.\nAnswer: 52416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w - 7*w + 16*w**2 as d*w + s + h*w**2 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 327519 and 1359.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 169*d**2. Let p(b) be the second derivative of 6*b**3 - 12619*b. Calculate p(k(l)).\nAnswer: 6084*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(8)\/(-1*sqrt(4)) + 4*(sqrt(2) + sqrt(20)\/sqrt(10)*1)*-5)**2.\nAnswer: 3362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8602*l - 1. Let q be f(-2). Let b = -11443 - q. Suppose 0 = -5*u - 4*j + 35778 - b, j = 4. Round u to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**8\/20160 - f**5\/20 - 2*f**2. Let x(y) be the third derivative of k(y). Let p(l) = 2*l**2. Calculate x(p(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3180 by -795.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74562 + -19671. What are the prime factors of v?\nAnswer: 3, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3303060 and 108?\nAnswer: 29727540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*s**4 - 718*s**2 + 1 wrt s?\nAnswer: 1488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 6*i - i)*(3 - 2 - 3)*(0*i**2 - i**2 - i**2)*(-3*i**2 - i**2 + 5*i**2).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 76\/20)\/(126\/270)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 23, -3, 0 in descending order.\nAnswer: 23, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 23*u**2 + u - 23. Let c be n(23). Put 9, 11, 3, c in ascending order.\nAnswer: c, 3, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 + 367 = 7*h. Let w = h + -64. What is the highest common divisor of w and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 1, 114, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -214368 and 63?\nAnswer: 214431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 4*m**2 + m - 11. Let c be s(0). Let q = 0.56 - -2.34. Let y = -3 + q. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-5\/4)\/s**(-1)*(s**(-6))**49 assuming s is positive.\nAnswer: s**(-1177\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/766723 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)\/k)**(-5)*(k**(-1\/3))**36*(k**(-1))**0*k**(-2\/5)*k*k*k**(-4) assuming k is positive.\nAnswer: k**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 + 390*w + 760 = 0. Calculate w.\nAnswer: -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3981 = -6*t + 2517. Let q = 1526 - t. Let s = q - 65119\/147. Are 1 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 310, 3255, 11242, 26791, 52422?\n\"Answer: 420*x**3 + x**2 + 2*x - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 313 + -322?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 29, 3, -35, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 11. Calculate u(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 55.7. Suppose 4*q = 0, 0 = -5*n + n - 2*q. Which is the nearest to n? (a) 2\/3 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3812.78mg to nanograms.\nAnswer: 3812780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -2 - (5 + -4)*-50. Let k = -2 + 5. Suppose k*a - 40 = -m, -i = -0*a - 4*a - m. What is the lowest common multiple of 22 and a?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 203\/660 and -83\/264660.\nAnswer: 264660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 6*y**2 - 8*y + 10. Let d be w(7). Suppose 2*s - 4*a = 26, 2*s + a - 2 = 4. Solve 4*i - d*i = s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Suppose -t = -k*t. Suppose t*m = -m + 35. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 788, 1201, 1632, 2087?\nAnswer: 2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6728 - -22977. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36528 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 0. Let o = -0.552 - -0.252. Which is the third smallest value? (a) u (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:10 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -43. Suppose w = 3*t - 4*a - a, t = -4*a + 50. Suppose 3*k + 5*s = 134, 5*k - 212 = 5*s + t. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*r = 16, -2*r = t - r - 7. Suppose 1895 = t*l + 170. Does 66 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 14*b + 85 = r, 2*r = -2*b + 160. What is the third derivative of -r*y**6 + 2*y**2 - 5 - 4*y**3 + y**2 - 60*y**6 + 4*y**3 wrt y?\nAnswer: -16200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 83. Let p(t) = 22*t + 7. Let r(o) = 16*o + 10. Let s(j) = -3*p(j) + 4*r(j). What is z(s(y))?\nAnswer: -2*y - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.447 less than 0.0475706?\nAnswer: -1.3994294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*q - 41, 351*q - 354*q - 117 = -4*y. What is the lowest common multiple of 492 and y?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12243 and 265.\nAnswer: 61215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Let t be (-1*(1 + 4))\/(38 - 39). Solve -6 = -t*b - 26, p*b + 11 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5476519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1724925906 and 1606?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (sqrt(1008)*1 + -1 - (sqrt(1008)*-2*3 - sqrt(1008))))**2 + 4.\nAnswer: -64509 - 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 42. Calculate the remainder when (-1)\/(-3)*0 - (t + -62) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -309, -1333, -3039, -5427, -8497, -12249, -16683?\n\"Answer: -341*x**2 - x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnni when four letters picked without replacement from {n: 2, i: 5, q: 8}.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**3 - 8*b**2 + b + 4. Give s(3).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 + -58.28. Let s = 58.1 + y. Let i = 0.3 - 0.2. What is the nearest to s in -0.3, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, -1, 1\/12, 259, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 19*k**2 - 1. Let h(n) = 21*n**2 + 29*n - 1. Let z(g) = -5*g**2 - 7*g. Let u(q) = 2*h(q) + 9*z(q). Let a be u(-3). Is o(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -31*x + 15*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x + 1924 = 2564 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 391937741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - sqrt(170)*-1*-3)\/(-5*sqrt(10)*1 + sqrt(10)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 350.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 5 - 20\/11. Let z = -43.587 + 43.087. Which is the closest to j? (a) z (b) -1\/4 (c) 3 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of ((5707100\/98)\/(-31))\/((-2)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-25 + -6 + 5)) + (48 - 54).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = o + 3*i - 4, o - 5*i = -30. Let h be ((-32)\/3)\/4*15\/o. Let t be (6\/(-10))\/(-11 - -10). Which is the biggest value? (a) 2\/3 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -457, -662, -853, -1030, -1193?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/4 - 725*u\/2 - 525625\/4 = 0?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u + 2. Suppose -4 + 8 = -2*a. Is z(a) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/((y**0*y)\/y)*y\/y**(-3)*y*y\/(y\/((y**(-2\/7)*y*y)\/y*y*y)))\/((y\/((y*y**(-2\/15)*y)\/y))\/((y\/(y**(-8)\/y)*y)\/y)*(y**2)**6) assuming y is positive.\nAnswer: y**(1006\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - n**2 + 7*n + 7. Let z be w(-3). Let j be (-2 + z - -36)*(-13)\/(-13). What is the highest common factor of 228 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 298.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3875 and 3000?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 70 = 2*y + 64, y - 1 = 4*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + d)*(-54*d - 34*d - 22*d) - 3*d**2 - 2*d**2 + 6*d**2 as u*d**2 + t + n*d and give u.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/(-25))\/((-99)\/1155). What is the second smallest value in -2\/9, -2\/13, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 643 divide 63576625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*x**2 - 15*x**4 - 14*x**2 + (30*x**4 + 86*x**4 + 49*x**4)*(4 + 0 - 2).\nAnswer: 315*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-12))\/(-5)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4\/15, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 1\/5, 9, 1.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*t + h, 0*t - h - 32 = -5*t. Suppose 4*m = -4*y + 28, 5*m = -3*y - t + 34. Suppose 0 = -y*i + 2*q + 308, -5*i - 3*q + 250 = -157. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -5, 0, -6, -2, -3 in increasing order.\nAnswer: -35, -6, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from mmvvcyvvg.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21644093 is divided by 5956.\nAnswer: 5945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + d + 1 = 0, -511*d + 1 = -2*i - 512*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2665 + 4244. List the prime factors of g.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 0. Let x = -1.86 - 0.92. Let z = 0.22 - x. Which is the third smallest value? (a) z (b) -2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 = 5*n, 54*n - 4*p - 15 = 59*n. Let u = 34 + -39. What is the nearest to n in 0.3, 2\/9, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 7. Let m = 5 + -4.8. Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.4, 0.37, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36232849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, 39, 202, 365, 528, 691?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/43, -1.41, 1.6, -11?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f. Let w = 20 - 12. Suppose -w*l + 20 = -3*l. Solve -1 = -2*x + 3*x + 4*o, -l*x - o - 19 = f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q**(1\/6)*q)\/q)\/q)\/q**(-3))\/(q**(-2\/7))**(5\/7))**24 assuming q is positive.\nAnswer: q**(3964\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*(a*a\/(a\/((a*a**7)\/a)))\/a*a*a**(-3\/8))**(-41))**(-12\/5) assuming a is positive.\nAnswer: a**(9471\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-4 - 0) + 8 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1106 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 653 + -a?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-17)*a)\/a*a*a**7 assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8585208 divided by 6.\nAnswer: -1430868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2430 divided by 243\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/35 of a week in minutes?\nAnswer: 3456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 51456602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*-1*(2 + 1). Let i(y) = -82445*y**2 + 5*y - 10. Let b be i(q). Round b to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -477 + 479.01. Let x = n - 1.9. Let b = x + -0.155. Round b to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50978351 to the nearest integer?\nAnswer: 7140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 1826*z**2 + 4008 + 166*z**2 + 25787*z + 20489*z - 40272*z.\nAnswer: -4*(z - 501)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/4)\/c**(6\/5))**(14\/11) assuming c is positive.\nAnswer: c**(-343\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28, 19.\nAnswer: -28, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 11 = d, 300*d - 298*d + 10 = 2*g. Solve g*t - 7*t - y = -4, 0 = 5*y - 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 68 = 5*y, -2*y - 81 + 7 = -m. Sort m, 2, 0.\nAnswer: 0, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2511)\/36 + (-1)\/4. Let g be (-6)\/r - (-3)\/15. Which is the smallest value? (a) g (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.936 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2\/7, 2\/251, 8, 3, -0.013 in descending order.\nAnswer: 8, 3, 2\/7, 2\/251, -0.013, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 21585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, d: 1, i: 2, g: 1}. What is prob of picking 2 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 49*a + 1480. Let n be u(-30). Let c = 2 + 3. Let g be (0 - c)\/((-2)\/n). Calculate the greatest common divisor of 275 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 172 and 17114.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003048 to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 183*f**2 + 330*f - 1. Give q(-6).\nAnswer: 4607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 465*r**2 - 19165*r - 45664. What is g(419)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -940 = 3*g + 2*z, -4*z + 937 = -5*g - 593. What is the remainder when 10 is divided by g\/(-110) - (-4)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*g + 7201 = -212*g + 22561. Solve -196*w + 204*w - g = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47465 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: What is the hundreds digit of 590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, -142, -3, 2 in ascending order.\nAnswer: -142, -17, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*h + 5*h. Suppose -3*s - h = 3*t, 0*t - 4 = -4*t - s. Suppose 0 = -t*r + 5 + 21. Calculate the highest common factor of 39 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 332*p**3 - 656*p**2 - 16*p.\nAnswer: 4*p*(p - 2)*(83*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11408173501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, r: 3, w: 2, y: 1, f: 1}. What is prob of picking 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 79.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, g: 1, f: 4, r: 4, o: 4}. What is prob of picking 1 g and 2 r?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h + 3*v = 5640, -5*v = 25. Suppose 7*i - h = 5829. List the prime factors of i.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + (-57)\/(-21))\/(5\/(-245)). Suppose -9*u - 70 = -r*u. Solve -2*i - u = -4*o, -4*o + 3*i + 16 = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.864739 months in centuries?\nAnswer: 0.0098872825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52398 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.206. Let v = s + -0.056. Put -1\/11, v, -5 in descending order.\nAnswer: v, -1\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewef when four letters picked without replacement from {w: 4, e: 2, n: 1, g: 8, t: 4, f: 1}?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + n - 4. What is the units digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4 + (-22)\/60. Let g = -143\/45 - -25\/9. Let i = -0.02 + 0.52. What is the closest to g in x, i, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**6\/120 + 13*f**5\/60 - 17*f**4\/24 - 37*f**3\/6 + 4*f**2 - 1. Let n be u(-14). Solve -5*w - 10 + n = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-33))\/((474\/4345)\/((-6)\/(-10)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11 + -10)\/((3\/184)\/3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -0.2 (c) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201405 less than -0.16064316?\nAnswer: -3201405.16064316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3\/25 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -211220110000 (base 3) to base 4\nAnswer: -1232010132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9970913.\nAnswer: 41, 157, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 289827205 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15454, 30895, 46326, 61747, 77158, 92559?\n\"Answer: -5*i**2 + 15456*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 3 + -6 + (-14 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 896\/49 - 1 - 17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-9))\/(6\/9). Let t(g) = 6*g - 5. Let w(v) = 42*v - 36. Let o(i) = p*w(i) + 36*t(i). Let d(y) = -3*y. Give d(o(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 6 = -4*g - 0, 5*g + 12 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 2:10 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354319 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**2 - 3*a - 6*a**6 + 3*a - a**2 wrt a.\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318 + 317.6. Let y = -2 + 6. What is the closest to 1\/3 in y, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -235*j + 233*j + 6. Let r(w) = 6*w + w + 4*w. List the prime factors of r(j).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**3 + 55*o**2 - 30*o - 44. Determine z(13).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -57. Is 7\/18 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**8\/448 + i**7\/120 + i**6\/160 - 11*i**5\/240 + i**3\/6 - 74*i**2. Suppose w(f) = 0. Calculate f.\nAnswer: -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 77181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(153)*2 + sqrt(153))*-2*5)\/((sqrt(180) + sqrt(180)*1 + sqrt(180) + sqrt(180))\/(sqrt(45) + sqrt(180)\/sqrt(4))).\nAnswer: -45*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513801.\nAnswer: 2513801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000037772 rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/(-14) - (-18)\/(-63). Solve 0*x = -a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 6. Let d(c) = -c**3 - 4*c**2 - 5*c - 2. Let h be d(-3). Let u be n(h). Let o = 8 + -7. Sort 0, o, u.\nAnswer: 0, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/15 - (-8)\/(-40). Suppose -s + 1 + 1 = g. Solve 0 = -3*v - s + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 3*x**2 + 5*x + 4. Let m(n) = 3*n + 3. What is -5*m(q) + 3*u(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 + -8 - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -41. Let q = n - -32. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/420 + (-8)\/(-14))\/((-189)\/(-20160)*-496).\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224260754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*y + 33316 = -3349*y + 356704 for y.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 2*w**2 + 7*w + 6. Let k be l(-4). Let r = 259 - k. What is the highest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -118. Suppose -u*l + 15*l = -5640. What are the prime factors of l?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/60 + 2*q**2 - 6*q. Let l(c) be the first derivative of w(c). Let i(p) = -5*p. Give i(l(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 1984*n - 246016.\nAnswer: -4*(n + 248)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 99 = -w, -2*w + 7*w - 15 = 0. Let j(z) = -n*z**2 + 43 - 43. Let m(s) = -s. Determine j(m(i)).\nAnswer: -51*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 3*t + 2683444*a - 2683437*a, 5*t + a = 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -22. Let d = -1.25 + 1.05. Which is the nearest to 1? (a) h (b) -3\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172831831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1129717 - 32431?\nAnswer: -1162148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**3 - 2*l**2 + 2*l + 3. Calculate the remainder when w(-2) is divided by (-52)\/(-5) + (-6)\/15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**7\/42 - p**6\/10 + p**5\/20 + 7*p**4\/12 - 2*p**2 + p. Factor y(a).\nAnswer: -(a - 1)**2*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**2 - 3*q. Let z(o) = -10*o**2 - 5*o. Let d(c) = 5*j(c) - 3*z(c). Let u(v) be the first derivative of -2*v**3\/3 + 13. Give d(u(f)).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 145298 and 3.\nAnswer: 435894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*q - 18, -6*q - 9 = -3*q - 3*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11))**4 assuming i is positive.\nAnswer: i**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -263578?\nAnswer: -263575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 609*s + 364*s - 297 = 676. Let b(t) = -7*t**3 - 4*t**2 + 4*t + 4. Let x(y) = -5*y**3 + y**2 - 3*y**3 - 1 + 3*y**3 + 4*y**3 - y. Give s*b(u) + 4*x(u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 63 = 3*a. Suppose -1 = -5*q - 2*y, -5*q + 3*q + 3*y - 11 = 0. Let b = q - a. Solve -2*s + b = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21\/46 - -537\/874. Let l = 18759 - 1782082\/95. Let t = l + c. Is 0.3 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 2. Let b(v) = -7*v + 28. Let r(a) = b(a) + 14*g(a). Let x(h) = 12*h. Determine x(r(c)).\nAnswer: 84*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-54 - -75) - (2 - (1 - -11))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 13*x**2 + 25*x - 345. What is b(13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhq when three letters picked without replacement from {h: 10, q: 6, f: 1}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -11*k - 3. Let b(m) be the third derivative of -1\/2*m**3 + 0 + 0*m + m**2 + 1\/24*m**4. Calculate b(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-160))\/((-234)\/(-195)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 + 17*p**3 - 355*p**2 - 5957*p - 5586 = 0. What is p?\nAnswer: -21, -14, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 2 + 0*t - 2*t. Let a(b) = -1. Suppose 5*k = -4*f - 14, 4*f + 5*k = 6*k - 2. Let c(p) = f*q(p) + 6*a(p). Give c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 0*u + 0*u**5 + 5*u**6 + 39 + 0*u**4 + 0*u**2 + 25\/3*u**3. Find the third derivative of c(v) wrt v.\nAnswer: 1800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) -6 (b) 4 (c) 476\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 809*z**2 - 387*z - 7294. Calculate x(405).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11856.75894 to zero dps.\nAnswer: 11857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3800)*2)\/(2*sqrt(288) + sqrt(2)) + (-5 + sqrt(475) + -4 + 4)**2.\nAnswer: -246*sqrt(19)\/5 + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**3 - c**2 + 3*c + 3. Let p be k(-1). Solve 3*z - 3 = 0, 2*n = 7*n - p*z - 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 332 + 313 = 669. What is the fifth smallest value in 1, 4, -16, x, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546697\/24 - 22773. Find the common denominator of l and -25\/1674.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9509 + -7.9509. What is the third smallest value in -3, s, 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -860*c + 890*c - 507. Let q(b) be the first derivative of b**3\/3 + b**2\/2 + b - 1. Let y(u) = -4*u**3 + 9*u**2 + 9*u + 9. Give c*q(i) - 2*y(i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**2*m**3 - 13904*f**2*m**2 + 3*f*m**6 + 7*m**3 wrt m?\nAnswer: -18*f**2 + 360*f*m**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 863.867472 rounded to the nearest ten?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/19)*j\/(j**36*j))**(-3\/19))**(2\/19) assuming j is positive.\nAnswer: j**(4122\/6859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.16558 and -0.09.\nAnswer: -0.25558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 105\/(-80)*4*-8*2\/12. Solve -9 + 23 = b*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -1\/36*n**4 + 4*n - 1\/9*n**3 + 0*n**2 + 0. Find w such that b(w) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82, 197, 662, 1313, 2150, 3173, 4382?\n\"Answer: 93*m**2 - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544.8795 centuries to years.\nAnswer: 54487.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716*n**2 - 1442*n**2 + 726*n**2 - 10*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1867*i - 11. Let g be x(1). Let s(c) = -12*c - 23. Let u be s(10). Let r = u + g. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 14 - 5 = 3*d, -d + 17 = -3*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 95, 261, 495, 797?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -525, -665, -807, -951?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 584687?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2053989 - 0.5?\nAnswer: -2053989.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 16, -1030, 0, -5, 80.\nAnswer: -1030, -5, -3, -2, 0, 16, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, -5, 0.3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/118 less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -5\/6 (c) 1 (d) 15\/2 (e) -22\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13830 and 10.\nAnswer: 13830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -32, 5\/12?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100.7 + 17.7. Let z = g - -82. What is the third biggest value in -0.6, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5357 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52.00000135 + -52. Round a to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 8343.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -2*c**2 + 31*c + 62. Let v be z(9). Sort v, 17, 4.\nAnswer: v, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 0*b + 0 + 1\/120*b**6 + 1\/24*b**4 - 1\/60*b**5 - 49*b**2 - 1\/3*b**3. Give h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 95 = -217. Let q = m + -419\/4. Let y = 1 - 1.1. Sort q, 5, y in ascending order.\nAnswer: q, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 11:27 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**16*(x\/x**(-2\/5))\/x*x assuming x is positive.\nAnswer: x**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31934*p + 31920*p + 31942*p - 127722*p + 31937*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -13. Let k = 53 - u. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 - 3*(2 - 13\/3) is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*d = 2*d - 240, -4*h - 4*d = 192. Let b be ((-6)\/4)\/(4\/h). Calculate the remainder when (b - 0)*(-6)\/(-12) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -49*q + 1008. Let z be m(15). What is the highest common divisor of z and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (162\/(-15))\/((-325)\/(-125)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/650 - (-2538)\/(-14976)?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 31. Let u(w) = -w**2 - 5*w - 32. Let v(x) = -5*d(x) + 4*u(x). Let q(o) = -290*o - 300*o + 588*o. Give v(q(f)).\nAnswer: -16*f**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 0 + sqrt(243))*5)**2*-5 - (-4 + (-5 + sqrt(48) + 1 + sqrt(432))**2).\nAnswer: -122280 + 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggvgvgvvvgggv. Give prob of picking 4 v.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 392399, 31, 2\/15, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 11 + 9. Suppose 0 = a*h - 250 - 70. What is the greatest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((4 + -1)\/3). Sort 1, -4, h in increasing order.\nAnswer: -4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j + 41. Calculate the smallest common multiple of g(6) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 7, -6, 2, 29 in decreasing order.\nAnswer: 29, 7, 2, -6, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477520 is divided by 412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0*p - 4 + 2*p - 5 - 4*p. Let d be w(-6). What is the second derivative of 10*h**3 + 6*h + 8*h**3 - 9*h**d wrt h?\nAnswer: 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 46\/5 of a millennium?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 - -154. Solve -3*w + 7*w + b = 0, -4 = -v + w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 0 - 1\/105*r**5 + 0*r**4 + 0*r + 1\/60*r**6 - 2*r**2 + 0*r**3 - 3\/392*r**8 + 0*r**7. Determine i so that g(i) = 0.\nAnswer: -1, 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.568 or 7975?\nAnswer: 7975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4237751?\nAnswer: 7, 605393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b5 - -1?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 0*q + 0*q)*(-5*q**3 + 3*q**3 - 4*q**3) + 4*q - 5*q**5 - 4*q - 2 - q**5 + 2.\nAnswer: -18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6 and 65593.\nAnswer: 65593.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.96 + 1.142. Let o = -0.103 + f. What is o rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*h, 4*c + 2*h + 0 = 6. Let o(d) = -d**2 - 2*d + 10. Let w = 21 + -21. Let k be o(w). What is the greatest common factor of k and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(80) + (sqrt(80) - (sqrt(80) + -3) - sqrt(80))**2 + sqrt(80) + sqrt(80))*5 + 4 + 5 + (-5*(0 + sqrt(80) + 2))**2.\nAnswer: 329 + 640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80? (a) 0 (b) 0.013 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 11b?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**8\/6720 - y**6\/360 - y**5\/30 + 3*y**2. Let l(q) be the third derivative of a(q). Differentiate l(h) wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h + 21. Suppose -228 = 14*z - h*z. Suppose -x = -z - 84. List the prime factors of x.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (3\/(-3) + 2). Suppose 0 = -5*t - 0*t + 15. Let v(m) = 2*m + 5 + 3 - 5 - t*m. Give v(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6085 or 12171\/2?\nAnswer: 6085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29667758*b**2*m - 1097*b - 213*m wrt b.\nAnswer: 59335516*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adbcboai. Give prob of sequence id.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 17 = 5*w - 3*v, 0 = 4*w - 3*v - 31. Suppose 4 = w*h - 40. Let k = 31 + h. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449765 is divided by 826.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 18*i - 33. Give t(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 11. Suppose 3*o + i*o - 15 = 0. Solve -12 = 3*c + c + 3*a, -o*a + 9 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22720 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahy when three letters picked without replacement from {h: 1, y: 4, a: 2, i: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**2 - 7*v + 1. Let c(n) = n**2 + 2*n - 3. Let l be c(-4). Let a be o(l). Solve 0 = -5*r + a*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -296 - -314. Let z be (4\/2)\/(-8)*0. Let -19*a - 3*a**2 + 9*a - h - 5*a + z = 0. What is a?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-2)\/o))*o)\/o)**(2\/53)\/(o**(-2\/19))**(-1\/4) assuming o is positive.\nAnswer: o**(-281\/2014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 1:33 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -22*l + 63*l**3 - 43*l - 142*l**3 + 18*l**2 + 1 + 78*l**3. What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 5*c**2 - 3*c - 4. Does 10 divide p(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t + 4. Does 9 divide 46\/(-4)*(t - 2 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 13*k = -16*k, -2*k - 5 = 3*b. Let g(v) = 58*v**2 + 2*v + 1. Calculate g(b).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38 - 38 + 6*o**2 - 4*o**2 - 15*o + 5*o**3 wrt o.\nAnswer: 30*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -6*k. Suppose k = 12*h - 19*h + 21. Solve 4*y - h*u = -0*u + 14, 2*u - 24 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2480183, -2480387, -2480591, -2480795, -2480999?\nAnswer: -2481203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((7 - 2) + -12 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1461504\/15916 - (12 + 80)\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5378, -7, 0, -1, 3 in ascending order.\nAnswer: -7, -1, 0, 3, 5378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 930003467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4385, -4385, -4387, -4391, -4397, -4405, -4415?\n\"Answer: -r**2 + 3*r - 4387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -2979.\nAnswer: -23\/993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -247, -266, -323, -436, -623, -902?\nAnswer: -1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 28864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(171))\/sqrt(9).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(2*x + 0*x + 17*x) + (92 - 27*x - 92)*(-6 + 0 + 4) - 14 + 14 - 7*x.\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -42. Let i be (102\/(-8))\/(6\/(-32)). What is the common denominator of -61\/10 and (-117)\/i - c\/(0 - 2)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2036 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.92268726 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2585676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -576 + 556 + (-3 - -8) + -1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/53 in -90, -1\/12, -2, -1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:07 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4344, 4348, 4352?\n\"Answer: 4*g + 4340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -2)\/(-4 + 77). Let q = 156\/365 + a. Factor q*g**2 + 6\/5*g + 4\/5.\nAnswer: 2*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2. Let m(p) = 25*p - 4. What is m(a(t))?\nAnswer: 150*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 11:48 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -1224003001?\nAnswer: 1224002440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476944 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-1) - (-5 + -2 - -7). Which is the closest to 0? (a) 3 (b) r (c) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3998*a - 7844. Give q(2).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, -2\/7, 2\/33, -2.3?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from pkkxxfspxffspvx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 18) + 476 + -599?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 + 13*n - 7. What is g(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5) + -13 + 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 1. Let u be d(-1). Suppose u*o = 2*o - 4. Solve o*b - 8 = -0*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*y - 1, y - 28 = -5*k - 19. Suppose -309 = -q - k*r + 45, -3*q = r - 1062. Calculate the remainder when q is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 8*r - 9. Let z be k(-7). Let i be 0 - 5\/(5\/z). Suppose 42 = -421*p + 480*p - 17. Solve g + v = -p, 13 = 5*g - 2*v - i*v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5103))\/(-6*sqrt(36)) + 2 + (2 + -4 + sqrt(343))**2 + 3.\nAnswer: -59*sqrt(7)\/2 + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5367, -10755, -16169, -21615, -27099, -32627, -38205, -43839?\nAnswer: -49535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (23 + (-28 - -18))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 5*s**8\/336 - 7*s**4\/24 + 11*s**2. What is the second derivative of w(l) wrt l?\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 672 = -y, -58*y - 687 = -59*y + d. Suppose -1229 = 3*w - 4*n, -2*w - 408 = -w - n. Let k = w + y. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-22)*10\/15. Let q = -1093 - -1097. Which is the biggest value? (a) -4 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/9)\/(-4)*(-18)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 2*l + 5. Let q(n) = -4*n**2 + 5*n + 9. Let i be (5 - 888\/10) + 1\/(-5). Let t be 4*(i\/16 + 4). Let h(v) = t*g(v) + 3*q(v). Give h(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*k + 6, 42*l + 10 = 4*k + 45*l. Solve x + 5*g = 21, -4*g - 5 + 17 = -k*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 2*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 526, 1204, 2164, 3412, 4954?\nAnswer: 6796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven eighths of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21973*x - 22007*x - 68 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by 1\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*s - 5*y - 4, 2*y + 4 = -3*s. Let f(u) = u + 6. Let d(c) = 2*c + 18. Calculate s*d(h) - 7*f(h).\nAnswer: -3*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435943417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + h + 4 = 0, -5*h = -3*s - 3*h - 1. Suppose -s*l - l - 3*u - 180394 = 0, 3*u + 90194 = -2*l. Round l to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/12 - (-4)\/6. Let m(a) = s - 1 - 1 - a. What are the prime factors of m(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + i - 170 = -4*s, 4*s = -2*i + 682. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -37*l - 10. Let v be d(-8). Is 4 a factor of v\/39 - 4\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53\/11947 or 0?\nAnswer: 53\/11947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*u + 69*u - 212*u + 73*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -207*c**6\/20 + 29*c**5\/60 + 143*c**3\/6 - 410*c**2 - 4. Find the third derivative of j(s) wrt s.\nAnswer: -7452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*k = -235855 - 278681. Does 119 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2 - 280482*c + 56136400 = 0.\nAnswer: -280682, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/143 - (-120)\/55\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 21*g**2 - 10*g + 15. Let h be w(-11). Suppose 6 = -5*i - h. Is 2249 - (i + 8\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 0 + 1)*(-6 - 2 + 3) - 12 - 58 - 5)*((3 - 6 + 1)*(f**2 + 0*f + 0*f) - 2*f**2 + 2*f**2 - f**2).\nAnswer: 135*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 16. Let m(w) = -13*w**2 - 2*w. Let l be m(g). Let p be (-15)\/(-10) + l\/4 - -2. Which is the fourth smallest value? (a) p (b) 9 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*h - 36. Suppose 2*l = 4*l + h. Let k(r) = r + 8. Calculate k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1561, 6209, 13947, 24769, 38669, 55641, 75679, 98777?\n\"Answer: -i**3 + 1551*i**2 + 2*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 + -1 + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4463*d + 4272*d = 5921 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 5. Let g = 59 + -175\/3. Put g, 1, j in increasing order.\nAnswer: g, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -311*d**4\/4 + d**3\/3 - 3*d**2\/2 - 159*d - 302. What is the second derivative of k(u) wrt u?\nAnswer: -1866*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.1795 + -1?\nAnswer: 631.1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 53.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 1.5. Which is the closest to y? (a) -4 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*i - 103*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*f + 4 = -201*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 84. Let i be t(0). Let b = i + -59. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700\/42*(-306)\/(-15)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45358*w - 45390*w + 768 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/(-8)*22\/(-84). Let x = s - 3\/56. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 2*b**4 - b**3 + (-2 + 1 + 3)*(-2*b**4 - 557*b**2 - 3*b + 278*b**2 + 281*b**2) + 3*b**4 + 0*b**4 - b**4.\nAnswer: -4*b**4 + 4*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {y: 5, n: 1, f: 2, h: 6, b: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 65888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 1, n: 2, q: 2, t: 1, h: 1}. What is prob of picking 1 s and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 4561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 983118203 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-5 + 0)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 414. Let l = j - -445. Round l to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 9*x = 135, -26*g - 15*g - 4*x - 20 - 25 - 22 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 6519930576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 156364 + -43.98\nAnswer: 156320.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 48 * -0.151\nAnswer: -7.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 7, -83, -245, -479, -785?\n\"Answer: -36*u**2 + 90*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 8*f + 3. Let s be h(-8). Suppose 0 = -s*l + 2*k + 20, 2*l - 12 = -3*l - 2*k. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a - 12 = -i, i = 3*a - 16. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)\/v*v**(-3)*(v*v**(1\/3))\/(v*v**(-2\/13)) assuming v is positive.\nAnswer: v**(-332\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 85 = 95. Let h be f\/(-6)*(-66)\/(-55). Suppose -4*p = -2*p, 0 = h*z + 4*p - 540. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/1151 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6844 is divided by 89?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*v - 14. Suppose 0 = -8*t + v*t + 340. Let h(m) = 1414*m + 16998. Calculate the remainder when t is divided by h(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/6509 - -6127\/1243219. Let j be 7*75\/315*(-4)\/((-80)\/12). Are j and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/154 - 49\/(-462))*-6?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/11 (b) 11676 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(2\/4*(-6)\/(-15)). Let a = c + 177. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -2. Let q(v) = 24*v**2 - 79. Let l(u) = 13*u**2 - 43. Let r(o) = 11*l(o) - 6*q(o). Let a(w) = -6*w**2 + 4. Calculate j*r(m) - a(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/5 (b) -1\/845 (c) 2 (d) -3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/sqrt(4))\/sqrt(2))\/(sqrt(6) + sqrt(6) + sqrt(96)*-4)*-4.\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170 (base 9) to base 15.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 18\/(-2) - 4. Let c be 1181\/4 + y\/(-12). Round c to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igdnqnnnni. Give prob of picking 1 q, 1 g, and 1 d.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -282909, -565813, -848699, -1131567, -1414417, -1697249?\n\"Answer: 9*s**2 - 282931*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = m - 29, -m + 27 - 2 = 4*p. Let i = -4 + m. Let z = 26 + -26. Solve z*d + i*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.43, -4\/19, 1\/7?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*q**3 - 3287*a - 629*q**4 + q wrt q?\nAnswer: 12*a*q - 7548*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-15))\/(2\/(-40)*-4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5\/2 - 4525*s**4\/2 - 462803*s**3\/2 - 10868283*s**2\/2 + 39151647*s + 13645800 = 0. Calculate s.\nAnswer: -1400, -57, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -1\/20*y**5 - 1\/3*y**3 + 1\/2*y**2 + 0 + 5\/12*y**4 - y. What is the units digit of z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1333510*z**2. Let p(i) = i. Determine p(t(s)).\nAnswer: 1333510*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/808, -5, -3, -1\/4, 1 in decreasing order.\nAnswer: 1, 3\/808, -1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1041727*b**5 + 150034*b - 1 wrt b?\nAnswer: 20834540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 9*u + 7. Let b be w(9). Let r(p) be the first derivative of -p**2\/2 + 9*p + 88. Give r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(-2\/37)\/(o**(4\/7))**(-2\/5) assuming o is positive.\nAnswer: o**(958\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388826574 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14039 - -14039.02. Which is the second biggest value? (a) 14\/13 (b) 2\/41 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*(sqrt(85) - -3*1*sqrt(85))\/sqrt(5) - 5*(-5 + (sqrt(170)*1)\/sqrt(10))))**2.\nAnswer: -360*sqrt(17) + 1777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**2\/7 - 204829392*w\/7 + 2622192489193104\/7 = 0.\nAnswer: 25603674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {p: 2, c: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*h**2*n**2 + 1935436*h - 846070544*n**2 wrt h?\nAnswer: -34*h*n**2 + 1935436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = -5. Suppose -4*q + 60 = -5*n + 13, -4*q - y*n = -23. Let i(x) = 3*x + 5. Is i(q) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69983587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 3. Let o(y) = 203447*y**2 - 8*y. Calculate r(o(u)).\nAnswer: -610341*u**2 + 24*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 186*m - 1302. Give l(-7).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259683 divided by 4.\nAnswer: -259683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + (-8625)\/315 + 19. What is the second biggest value in -5, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 636*d**2*m**3 + 227*d**2*m**2*t + 180*d**2*m - 2*d*t - 772*m**3*t wrt t?\nAnswer: 227*d**2*m**2 - 2*d - 772*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13983\/2212)\/(27\/21) - 1\/4.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/7? (a) 0.1 (b) -2\/27 (c) 3 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7158 - 7095. Solve 0 = -3*b + 4*j + 6, -l*j + 64*j = 5*b + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.6, -58, -0.4, 9\/2, -3\/2?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11*b - 6*b - 30 = 0, 3*b = 5*f + 18. Let q(k) = k**3 - 6*k - 6. Determine q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/((-2790)\/18600).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59611 + 85904. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*h + 1559, 602 = -2*a + 5*h - 479. Let m = a + 331. Is m bigger than -199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s - 7. Let d(i) = i**2 + i - 8. Calculate -4*d(k) + 5*w(k).\nAnswer: k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -29*h**3 + h**2 + 3*h + 1. Let y = 43 - 44. Suppose 0 = -2*s + s + 10. What is the remainder when b(y) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**4 + 174783*u**3 - 5499*u**2 - 2*u + 3 wrt u?\nAnswer: -48*u + 1048698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 7*c**2 + 7*c - 2. Let y be i(-8). Suppose m = 4*a + y*m - 35, -2 = -a + m. Suppose a*g - 7*g + 14 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (0 - -19 - 6 - (1 - 1))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 181*c - 39. Does 28 divide v(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55.33524 millilitres?\nAnswer: 0.05533524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20767 is divided by 5933?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, -457 in decreasing order.\nAnswer: 2, -2, -4, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1039*m**2 - 343 + 3284*m**2 + 343)*(-2 + 1 - 1).\nAnswer: -4490*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**2 - 13*b - 3. Let t be p(-9). Suppose -t - 119 = -5*x. Calculate the highest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u. Let t be 1 + 4\/(-2) + -4. Let s(f) = -5*f. Determine t*s(r) - 6*j(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**3 + 1385*z**2 + 14630*z = 0.\nAnswer: -266, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 11*o**2 - 4*o + 5. Let f be t(4). Let z(y) = -270990*y - 50. Let x be z(f). Round x to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 6*j - 14*j + 0*j.\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 23, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2501)\/(-21) - (298\/42 + -7). Is (t\/(-28) + 6)*1268 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-115 + 605 - 33)*(3*v + 0 + 0)*(3*v**3 - 5*v**3 + 9*v**3) to the form w*v**3 + d*v + y + m*v**4 + f*v**2 and give m.\nAnswer: 9597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times 29\nAnswer: 3.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/5, -3, 10, 4\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*n**5 - n**4 - 24*n**2 - 12*n + 135?\nAnswer: 520*n**3 - 12*n**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104.748 + -9251.9145.\nAnswer: -9356.6625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - i**2 + 2*i - 39. Let a be k(0). Let c = 1 - a. Let y = -41 + c. Let o(u) = -3*u + 5. Let j(r) = -1. Give y*o(h) - 3*j(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 99.\nAnswer: -4, 1, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - p + 5 = 0, 0 = -2*o - 3*o - 13*p + 318 - 408 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((a*a*a**(-19)\/a*a)\/a)\/a))*(a\/(a*a\/(a*a*a**(-13\/6))*a))\/a)**42 assuming a is positive.\nAnswer: a**(-931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.046 and -4870062.4.\nAnswer: -4870062.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, 83, 100, 99, 74, 19?\n\"Answer: -r**3 + 36*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 436758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -46 = -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(-1 + 0 + 3)*(12*s + 0*s + 3*s + (-1 - 1 + 4)*(-2 + 5*s + 2)) as v*s + o and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -104399, -104401, -104403?\n\"Answer: -2*b - 104397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 30 - 30 - 875*q**2 + 2153*q**2. Let c(r) = -3*r**2. Calculate w(c(b)).\nAnswer: 11502*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 3476*j**3 - 844480*j**2 - 37582608*j.\nAnswer: -4*j*(j + 57)*(j + 406)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 260*y + 263*y + 18 = 0, 0 = -4*o + 5*y + 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6116 divided by -11\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2 and -41\/1946.\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1148112*n**4 + 5*n**3 + 270486*n - 4.\nAnswer: 13777344*n**2 + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*c + 5187 = 127*c. Suppose 2*f = -2*f + 6572. Suppose c + f = 7*u. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*k - 118 = 3*k, 5*p = 5*k + 125. Suppose 0 = -p*f + 27*f + 2. Sort f, -5, 3, 5 in decreasing order.\nAnswer: 5, 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 3*j + j. Suppose j = 2*i - i. Let q be (6\/i)\/(1\/(-4)). What is the closest to 0.3 in -2, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b - 17. Let m(k) = 3*k + 6. Let y(j) = 17*m(j) + 6*x(j). Let n(p) = -4*p**2. Calculate y(n(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -918 minus -10.6?\nAnswer: -907.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 63*l - 2. Let q be y(2). Let g = -11 + q. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2603*m**3 - 5751*m wrt m?\nAnswer: -15618*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 11. Calculate the common denominator of (15\/540)\/(f\/(-214)) and -97\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 2. Let w = f + 1. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 3 + 3)*(4*u**3 - 4*u**3 - 2*u**3)*(1 - 2 - 1).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6 = 1, p = s + 92. Calculate the greatest common divisor of p and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -227342790 and 386.\nAnswer: -227342404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 + 101. Suppose g = 3*r + f + 509, g - 5*r = 543. List the prime factors of g.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -1\/3, -2790, 7, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -295590 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 15}. Give prob of sequence ll.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -237, -509, -889?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9653*3848.\nAnswer: 37144744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.27 * -0.06.\nAnswer: 0.6762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/20*25 + (17 - 0\/(-2)). Let f(p) = p**3 - 11*p**2 - 15*p + 29. Determine f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 1 + (-3 - -1). Suppose -m*j + 32 = -4*j. Let z be j\/(-5) - (-2)\/(-5). Let r(f) = -f. Give r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 897?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -97.22.\nAnswer: -6.8054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234837873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5 + 456*l**4 + 453*l**3 - 910*l**2.\nAnswer: l**2*(l - 1)*(l + 2)*(l + 455)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/12*(2 + -5). Let m = -9803.3 - -9804. Which is the closest to p? (a) 0.4 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14 from 0.50435.\nAnswer: -13.49565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 5) to base 4\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/14)\/((-3078)\/399) - (-2)\/(-9)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -457 - -835. Suppose -y = y - p. Calculate the highest common factor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_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: What is -144739402 divided by 1?\nAnswer: -144739402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + 12 + (-264)\/45\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 + 102. Let u = -3.8 - -4. Sort d, u, -5, 5\/2.\nAnswer: -5, d, u, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -b1?\nAnswer: ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*k + 27210 = 9*k + 606*k. Let 657\/2*c**2 + 1083\/4 + 3\/4*c**4 - k*c**3 - 570*c = 0. Calculate c.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -3, -5\/2, 0.064, 4, -0.2 in ascending order.\nAnswer: -3, -5\/2, -3\/4, -0.2, 0.064, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 67, 2, -4097 in decreasing order.\nAnswer: 67, 6, 5, 2, -4097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 less than 6149127?\nAnswer: 6149128.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:08 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q*v*x - 2*q*v + 29722*q*x - v*x - 41*v - 3 with respect to v.\nAnswer: -2*q*x - 2*q - x - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75983891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -3)*3\/6. Let g(u) = 7*u - 45. Let i be g(7). Let s be b + (-22)\/(-2) - i. Solve 0 = 3*k - 3*y + 2*y + s, -k = y + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4666*p - 200681. Give n(-43).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-10 - 15*y + 25*y - 8*y) + 2 - 4*y - 2 to the form p + z*y and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165 + -147)\/((-99)\/44).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = -3*d + 303. Is (1 + 1)\/(d*14\/(-17465)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.8731 + -0.0069. Let z = i + 6.48. Put 5, -33, z, 0 in increasing order.\nAnswer: -33, z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -156 - (-171 + (83 - -6))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n - 20\/7 - 2\/7*n**2 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 14, m: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 104 = 27*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/204)\/((-1)\/((-16)\/14))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 108\/(-45)*5\/(-2). Let p(g) = -7*g**3 + 2*g**2 + 5*g + 4. Let w(s) = 8*s**3 - 2*s**2 - 6*s - 5. Determine d*p(b) + 5*w(b).\nAnswer: -2*b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-352*v**2 + 36*v - 152*v**2 - 34*v)*(v**3 + 2*v**3 + 2*v**3).\nAnswer: -2520*v**5 + 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - ((140 + -5)*2 - -5). Let r = 279 + k. Solve 2*t + r*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5587, 5764, 5941?\nAnswer: 6118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 7*l + 1. What is y(10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/(-36) - 18\/(-24). Let k = -2.382 + 0.582. Which is the closest to n? (a) k (b) 0.5 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 5. Let n be x(4). Suppose -k + 37 = -5*o - 14, o = k - 39. Let m = k - n. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**4 - 3*a**2 - a + 3. Let u(j) = 7*j**4 - 39*j**3 + 177*j**2 - 221*j - 12. Let x(d) = 4*l(d) + u(d). Factor x(o).\nAnswer: 3*o*(o - 5)**2*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*c + 12 = 0, 0 = j + 11*c - 6*c + 23. Suppose 3*g - 68 = -p + 6, j*p - 48 = -2*g. What is the remainder when 274 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = 5*x - 2918*b + 2915*b, -7*x = -b + 206 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 + 58770*b - 62563*b + 2*b**2 - 35 to p*b**2 + f + d*b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 11:22 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12865, -13248, -13871, -14722, -15789, -17060?\n\"Answer: 2*f**3 - 132*f**2 - f - 12734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7590039492 to the nearest integer?\nAnswer: 1965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 10*q**3 - 4*q**2 + 255*q - 45. Let h(m) = -9*m**3 + 4*m**2 - 254*m + 37. Let k(p) = 6*h(p) + 5*i(p). Find the second derivative of k(n) wrt n.\nAnswer: -24*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2155 + 10777\/5. Which is greater: -349 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2. Let v be -1 - (-2 - 14\/2). Let a be n(v). Which is smaller: a or 1\/75?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34568 and 1490?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 369.\nAnswer: 56\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62\/5, -24, 3, -5 in decreasing order.\nAnswer: 3, -5, -62\/5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 298817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 3:43 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 0.48. Let c = 49.9 - 50. Sort c, -3, t in ascending order.\nAnswer: -3, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*s**2*w + 4*b*s**2 + 5*b*w + 2*b + s**2*w + 11*s - 334*w - 1 wrt s?\nAnswer: 6*b*s*w + 8*b*s + 2*s*w + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - f + 4. Let z be t(2). Solve 0 = -2*m - v + 10, -2*v = -2*m - v + z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 11002734 to the nearest ten thousand.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(4 + sqrt(325) + 0)*-1 + -5.\nAnswer: -30*sqrt(13) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -11\/6, -1, 6.7 in decreasing order.\nAnswer: 6.7, 5, -1, -11\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146976.999856242 - -146977. What is f rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -507646 * -8.\nAnswer: 4061168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1588 - 1583. Let y(q) be the first derivative of -10\/3*q**3 + 0*q + 0*q**2 + 0*q**u - 4 + 0*q**4 + 3*q**6. What is the third derivative of y(z) wrt z?\nAnswer: 1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*c - 696*c + 2327 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 248\/(-186)*18\/(-4). Solve t*b + 36 = -6*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-744)\/40 - (-2)\/(-5). Is j less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -82. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5631, 13277, 20927, 28581, 36239, 43901?\n\"Answer: 2*h**2 + 7640*h - 2011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*f + 259 - 169. Let p(m) be the first derivative of 2\/75*m**5 - 11\/15*m**2 - 2\/5*m + 6 + 1\/45*m**6 - 28\/45*m**f - 1\/5*m**4. Factor p(w).\nAnswer: 2*(w - 3)*(w + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -71, 1.1, 0.5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 238816 or 238814?\nAnswer: 238816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1043\/11 - 42661\/77. Is 2\/3 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*m + 8413 = 8406, -9*o = -13*o + 3*m + 28 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/42)\/((-40)\/(-400)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33888, 67776, 101646, 135492, 169308?\nAnswer: 203088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1428\/(-13216) + 43\/(-2537).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17280109.\nAnswer: 7, 11, 17, 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 17 = -s + 3*b, -b - 5 = -4*s. Suppose 2*c = -2*c + 24. Let n be (-2)\/c*-6 - -4. Solve s*m = 3*y + 5*m - n, 2 = 3*y + m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (660960\/26928)\/((-6)\/22).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*p + 259, -27*p + 24*p = -5*z + 634. What is the least common multiple of 20 and z?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(1*sqrt(4)) - (sqrt(39) + sqrt(624))\/sqrt(3) - -5*(sqrt(1300) + 3).\nAnswer: 15 + 46*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -1 (b) -77 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 163 = -r, 5*z - 30 - 195 = 3*r. Calculate the greatest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1998 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89379624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 5, y: 5}. Give prob of sequence ssk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 101895431 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5495 + 5022 + 2433 = -518*l for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 8 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51777000 by -110.\nAnswer: -470700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185483?\nAnswer: 185483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 468.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*f + 223*f = -284 - 116 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, 0, 3, -2, 5 in descending order.\nAnswer: 172, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 3611?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 806049 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18\/49 + 286\/245. Which is the third smallest value? (a) 2\/11 (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-100)*(-305)\/(-915)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.1, 5, -538\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20165 and 925.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 9*f - 4. Give g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.815058 times 0.4?\nAnswer: 10.3260232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/5)\/((-7)\/595). Let j = -17 - q. Solve -j - 8 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 72 - 13 + 5*m - 51*m + 83.\nAnswer: -52*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 407520.6455 rounded to the nearest 10?\nAnswer: 407520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3676430 (base 10) to base 6\nAnswer: 210444302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - s**2 - 4*s - 7. Give q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/36*15*(-35)\/350.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 101011001101?\nAnswer: 101011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*g**2\/11 + 2797032*g\/11 - 5299776\/11.\nAnswer: 2*(g + 73608)*(19*g - 36)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18 = -12, 3*n = -5*v + 9501. Calculate the greatest common factor of 31 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1083, 2166, 3259, 4362, 5475, 6598?\nAnswer: 7731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - 12) + (-17 - 2). Let o = k - -32. Calculate the greatest common factor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66597.\nAnswer: 3, 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 12*n**2 - 7*n**2 + 5*n to j*n**2 + b*n + c and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {l: 1, v: 1, z: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1764, -3528, -5292, -7056, -8820?\nAnswer: -10584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-4\/3)*l)\/l)\/l)\/((l*l**0)\/l)*(l\/l**1*l*l)**(-23) assuming l is positive.\nAnswer: l**(-145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 2*l + 3*l to the form h*l + w and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times -0.29461?\nAnswer: -0.0618681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-82)\/8 - 220\/(-20). Sort -3, 6, -2.4, i.\nAnswer: -3, -2.4, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122 + -65577?\nAnswer: -65455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13353.21 - 13452. Let m = -69.674 - w. Let c = 29 - m. What is c rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.34, 453, -5, 7.1, 0 in descending order.\nAnswer: 453, 7.1, 0, -0.34, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 364077 rounded to the nearest ten thousand?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 4*u + 7. Let r be h(6). Let p(j) = -j**2 + 2*j + 5. Let d be p(-3). Let g = r + d. What is the highest common divisor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 71.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -2) + -1*5. Let c = r - -13. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1538233 less than -1538236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:24 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2273, -9660, -22167, -39800, -62565, -90468, -123515?\nAnswer: -161712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.029 + -0.229. What is the fourth biggest value in w, -1, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 5*f + 1. Let i(a) = a. Let v(b) = -2*i(b) - z(b). Let u(x) = -5*x**2 + 5*x - 3. Determine 3*u(s) - 5*v(s).\nAnswer: -5*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 80 - (0 - (-1 - 10))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 74039822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 2*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -3, -10 in increasing order.\nAnswer: -10, -3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f - 30000000. Suppose f = -2*u + u. What is u rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(44) - sqrt(396)) + sqrt(44))*-6)\/sqrt(4) + -2*sqrt(88)\/sqrt(128) - 4*(2 + sqrt(11) + 0 + sqrt(11)*-1 + 4))**2.\nAnswer: -264*sqrt(11) + 3635\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 take away -1054.375141686?\nAnswer: 1435.375141686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r + 7. Suppose a + r*k + 16 = 2*a, 2*a - 5 = -5*k. Calculate the highest common factor of a and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 6. Let p(v) = 4*v - 7. Let k(y) = 7*o(y) - 6*p(y). Let u(d) be the second derivative of 0*d**2 - 4*d + 1\/3*d**3 + 0. Give k(u(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*m - 2570 = 691*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 120b4 - 66?\nAnswer: 1204c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2\/4 + 90903*w\/2 + 2000229\/4 = 0.\nAnswer: -11, 60613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545814.\nAnswer: 2, 772907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssz when three letters picked without replacement from {o: 4, j: 4, z: 10, s: 2}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 5*s. Suppose 3*w + 29 = 11. Let i be p(w). Does 17 divide 3*4\/i - -15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 1738?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5123, 10260, 15409, 20570?\n\"Answer: 6*g**2 + 5119*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c\/(c*c*c\/(c**4\/c)))\/c*c*c)**(-11\/6))**(-4\/13) assuming c is positive.\nAnswer: c**(88\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**9\/302400 - i**8\/33600 - i**7\/12600 + i**5\/60 - i**2. Let m(c) be the third derivative of w(c). Factor m(z).\nAnswer: -z*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 1\/100*g**5 - 1\/30*g**3 + 0 + 1\/10*g**2 - 1\/60*g**4 + 6*g. Factor d(b).\nAnswer: (b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 49 = -5*w. Let y(b) = -b**3 - 4*b**2 + 4*b - 2. Let o be y(-5). Suppose -o*f - w = -j - 4*j, -4*j + 23 = -f. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00621 + -10173.\nAnswer: -10173.00621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 21\/6 - 70\/(-60)*3. Solve -2 = h, -p - 11*h + j = -15*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89868, -359122, -807876, -1436130, -2243884, -3231138, -4397892?\nAnswer: -5744146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13+-9.927\nAnswer: 3.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5108398*t - 2948635 wrt t.\nAnswer: 5108398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 + 5*m - 14*m**2 + 0*m**2 + 9 + 21*m**2 + m**3 + 2*m**2. Calculate l(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 534, 806, 1080, 1356, 1634, 1914?\nAnswer: 2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 8*s**2 - 8*s. Let f be (42\/((-9)\/3))\/2. Let c be q(f). Let m = 10 + c. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 8*s - 47. Let f be n(12). Let a(o) = 27*o - 7. Let k(r) = r**3 - 4*r**2 + 2*r - 1. Calculate the remainder when a(f) is divided by k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) 6\/11 (c) 22243 (d) -3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 1.2. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (sqrt(3) + sqrt(15)\/sqrt(180))) + 5*3*sqrt(3))*-5)**2.\nAnswer: 198025\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2579771 by 31.\nAnswer: -2579771\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:27 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3692356.\nAnswer: 2, 107, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 11*w**2 - 2*w + 33. Let u be p(11). Let x(d) = d**3 - 10*d**2 - 9*d - 22. Let y be x(u). Solve y = -8*g - 3*g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 3. Let r = -25 + 30. Let s(n) = -n - 2. Let h be (-4 - 2) + (-6)\/(-2). What is h*b(m) + r*s(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2383\/315 - -129\/70. Let i = -6395 + 153575\/24. What is the common denominator of n and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.66 from -521741843.\nAnswer: -521741841.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -6) + -4 - -306. Calculate the greatest common factor of x and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 76041052?\nAnswer: 76041049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*a - 7*a - 43*a - 55*a)*(-4*a**2 + 14*a - 14*a) in the form o*a + i + c*a**3 + m*a**2 and give c.\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286079*n*t**4 + 942*n - 3261 with respect to t.\nAnswer: 1144316*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9459031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. What are the prime factors of (9 - 0) + (8 - o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 12, a: 1, g: 4}. What is prob of sequence uao?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(5) + -6*(sqrt(5) + sqrt(80))))\/(sqrt(22)\/sqrt(2)*1 + (sqrt(275) - 2*sqrt(275)) + sqrt(11)).\nAnswer: sqrt(3)\/87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(3)*2 - sqrt(3)))) - -5*sqrt(352)\/sqrt(8))\/((sqrt(396)*2)\/(sqrt(11) + sqrt(22)\/sqrt(32))).\nAnswer: 35*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2809 = 3*y, 17*y - 20*y - 2795 = -5*l. Let d = y - -1563. List the prime factors of d.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280391 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 367\/234 + 5\/18. Let u = t + -83\/52. Let i be (-15)\/(-13) - 8\/52. Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5132 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2 = -22. Let z(p) be the second derivative of -p**4\/12 + 2*p**3\/3 - 2*p**2 + 2*p + 144. What is z(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose 3*y - r + 6*r = 1, m = y - 4*r - 6. Calculate the highest common factor of y and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*v - 18, -3*v + 4*c - 2*c = -3. What is the second smallest value in 4, 2, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 + 3*s + 8. Let u be k(-4). Let j be 4 + (0\/4)\/u. Let v = 79\/65 - 21\/13. Which is the nearest to 1? (a) -3\/8 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 308*u - 209*u - 99 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.038849\nAnswer: -0.0155396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 7367 = 59*p + 82*p for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 7 + 1 - 38*o in the form x + h*o and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6 + z**2)*(3*z**2 + 3 - 3).\nAnswer: 3*z**4 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 2*q + q)*(-1 + 0 + 0) - 5920 - 151*q + 5920 to the form z*q + w and give z.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2142274 (base 8) to base 16.\nAnswer: 8c4bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 653748.234 - 1472?\nAnswer: 652276.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:34 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -111322302 (base 4) in base 3?\nAnswer: -11120011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4835835.369 from 0.9229.\nAnswer: -4835834.4461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 183602 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*f + 574, 2*c - 7*c + 1000 = -2*f. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 12*q**2 + 36*q + 24. Calculate z(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w**3 + 0 - 2 + 7*w**2 + 11*w**3 + 3*w in the form r + y*w + q*w**3 + v*w**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 6315?\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 6 + 14. Find the second derivative of -4*u + u + 3*u**3 - i*u + 3*u wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:57 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 115, 121, 129?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -2310.2?\nAnswer: 207.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/976 and 101\/16445136?\nAnswer: 1003153296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-5)*(v*(v*v**(1\/4))\/v*v)**38)**4 assuming v is positive.\nAnswer: v**382","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = 2*n + 5*a, -205 = 20*n - 123*a + 118*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -5*u**4\/8 + 2*u**3\/3 - 52*u**2 - 2. Calculate t(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -634 - -634. Suppose y = -2*a - z - 140 + 1501, 2*a - 1373 = -5*z. List the prime factors of a.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/34, -3, -191, 1, 2\/9.\nAnswer: -191, -3, -1\/34, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*s - 4*s. Let a be 15*(s + 26\/(-10)). Suppose 0 = -a*o + 2018 + 130. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*l - 51*l**3 - 34*l + 7*l**4 - 4*l**4 + 22*l**3 + 31*l**3 in the form v*l**4 + q*l**2 + c*l + k + m*l**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-9))\/((-4)\/(-1056)*4). Suppose -b - 33 = -11*h. Suppose -h*c = -0*c - 655. List the prime factors of c.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 7}. Give prob of sequence khk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(110) + -1*sqrt(110))*1 - sqrt(110))\/(sqrt(10)*1*4 - sqrt(10)) - (0 + (sqrt(88)\/(5*sqrt(1152)))**2)).\nAnswer: -sqrt(11)\/3 - 11\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 19*p - 103 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.1. Let o = y - -0.2. Let d = 7.8 + -7.8. Which is the biggest value? (a) o (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -1.6. Let r be 2\/(-2)*(1 - 6) + 6. What is the nearest to 1 in r, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133431573 = -37*u - 29*u - 59354427. What is u rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 6*x + 3*x - 5*x + 2*x + 7*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-11) - 2865\/(-6303).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -1.7. Let s = l - -4.8. Let c = -9888 - -19775\/2. Put -5\/4, s, c in decreasing order.\nAnswer: s, c, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 5*t - 7*y - 30, 0 = 2*t + 3*y - 25. Let z = -2 + 1.8. Let o = z - -1.2. Which is the third smallest value? (a) o (b) t (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1124886328 by -4.\nAnswer: 281221582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by -1.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647075404 is divided by 9862.\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:18 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -521 - -523. Suppose -3*b - k*b + 45 = u, 5*b + 3*u - 55 = 0. Solve 2*d + b - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/3619 and -59\/247126.\nAnswer: 1729882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -101100101?\nAnswer: -101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 15*b**2 + 2*b**2 + 67 + 95 + 241.\nAnswer: -13*b**2 + 467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 7*o + 0 to the form y + k*o and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -46. Is u < -1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5, -3*o = -4*o + 3*a + 30. Suppose 3*z - 226 = -5*i, -5*z - 210 = -2*i - 3*i. What is the remainder when i is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/1)\/((-14)\/14). Suppose -w*f + x = 15, -f + x = -19 + 29. Let r(n) = -2*n + 6. Calculate r(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -400 + 1509. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 143 - ((-4)\/12)\/((-4)\/12). Is f smaller than 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*u + 2 - u - 2)*(-8*u + 5*u + 7*u) to the form s*u**2 + m + l*u and give s.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 313\/2. Let t = 7 - f. Let r = -0.96 - 0.04. What is the second smallest value in r, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -265*j + 261*j. Calculate the greatest common factor of 99 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/(2\/(-8)). Let j be 6756\/(-42) + (s + 4)\/(-14). Let o = j + 274. Calculate the remainder when o is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 465 = -5*j + 826, -j + z = -260. Suppose -4*c - 79 = j. Let k = 122 + c. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -43, 116 in increasing order.\nAnswer: -43, -4, 7, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.1 - 9.1. Let b = -30.6 + 30.7. What is the closest to b in y, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*u + 17*u + 185 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/797 - 45373\/11158. Calculate the common denominator of s and -95\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1207228, 2414235, 3621242, 4828249, 6035256?\nAnswer: 7242263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45900.8 meters in millimeters?\nAnswer: 45900800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64537461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*o**4 + 4*o**4 - o**4 + (3 - 2 - 3)*(-o**3 + o**3 - 2*o**4) - 3*o**2 - o**4 + 3*o**2 - 4 - 2*o**4 + 4.\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 975, 976, 977, 978, 979, 980?\n\"Answer: a + 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*q - 970377 - 2510065. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 831 + -280. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/105)\/((-45)\/525*-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 7 = 3*n. Does 7 divide 0 + 2 + (5 - (n + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1006 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6089*s - 6061*s + 45 = -67 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 586 - 560. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 16 = 2*w. Let x = -5 + w. What is the closest to 0.1 in x, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 + 6*c)*((0*c - c + 3*c)*(0 - 1 + 0) + (-33 + 31 - 68)*(1 - 1 - c))*(3*c - 10*c - 2*c).\nAnswer: -3672*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6060, 5978, 5830, 5604, 5288, 4870, 4338, 3680?\n\"Answer: -2*k**3 - 21*k**2 - 5*k + 6088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmmr. Give prob of picking 1 r and 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 225114120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 1599.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l - 1078 - 1295. Let u = l - -356. What is the greatest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g + 2. Let h be f(-3). Suppose -h*d + w = 6*w, 4*d + 18 = 5*w. Is (1\/d)\/(2\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 2:44 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 26. Let t be (-3 + (-44)\/(-3))*n. Suppose 2*j - t = k - 6*k, 4*j - 5*k = 450. What are the prime factors of j?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = -24*z. Which is the smallest value? (a) 0.5 (b) -4\/3 (c) 0.4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1053 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/7 - 12*c**4\/7 + 16*c**3\/7 + 12*c**2\/7 - 18*c\/7 = 0. What is c?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w. Suppose -113 = -3*f + 283. Let h(x) = -f + 132 + 4*x**2. What is h(u(g))?\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.78 (b) -1\/26 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6874 + 6811.8. Which is the second smallest value? (a) d (b) -2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n + 763. Let l(d) = 4*d + 254. Let j(o) = -8*l(o) + 3*t(o). Let h(p) = -2*p. Calculate h(j(q)).\nAnswer: -8*q - 514","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*v**2 - 5*v**3 + 12*v - 12*v + 3 - 17*v**2 to y + x*v + r*v**2 + w*v**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*l + 9 + 4 = 0, -13 = 5*y + l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*k + 16 = -0*a, 3*a + 12 = 3*k. Suppose 0 = -3*y - h + 29, 0*h + 4*h - 8 = a. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/6 - 3)*1*45\/(-70).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {z: 2, r: 2, t: 1, e: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*b + 8, -2*u - 2*b + 10 = 4. Suppose 4 = -4*x, -u*r - x = r - 83108. Suppose t = 79703 - r. Round t to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3294826, -3294828, -3294830, -3294832, -3294834?\nAnswer: -3294836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/((-2*sqrt(24))\/sqrt(4))*-6)\/(3*(-2*sqrt(162) - sqrt(162)) - -6*(sqrt(162) - (2*sqrt(162) + sqrt(162)))).\nAnswer: -sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16 + 6 = 0. Suppose y - p = -1. What is the third derivative of -g**y + 11*g**4 + 19*g**2 - 52*g**2 wrt g?\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 105\/2 + -4 + 105\/30. What is the highest common factor of 20 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-102)\/110)*125\/(-10). Factor 4\/11 + 8\/11*w**2 + j*w + 2\/11*w**3.\nAnswer: 2*(w + 1)**2*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**3 - 119*u**2 + 498*u - 1. Determine c(4).\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 4 = -11 - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7643557 is divided by 177?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 18*z + 53. What is o(19)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-20)*2*4\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 8:22 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -252067, -1008338, -2268789, -4033420, -6302231, -9075222, -12352393?\n\"Answer: -252090*w**2 - w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 6:07 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2402.9021 + -0.9386.\nAnswer: -2403.8407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 300 (b) 0.09 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 7*o - 51. Solve -b = -o*i - 27, 2*i - 5*b + 24 = 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -377260, -375278, -373296, -371314, -369332, -367350?\n\"Answer: 1982*k - 379242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77409284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4913, 4864, 4815, 4766, 4717?\nAnswer: 4668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -43.742631854?\nAnswer: 39.742631854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-116)\/(6496\/(-70)))\/((175\/(-8))\/(-1))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 22. Is 1\/4 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2255 (base 11) in base 13?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 48a0f?\nAnswer: 48a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69011 - a + 137989 - 68978.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/20*-304)\/((-2)\/470).\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -10. Let b = u - 8. Let c be b\/6 + (-2)\/(-4). Solve c = d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361.023 + 3.\nAnswer: -358.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 332 - 2?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -35\/3. Which is the closest to -3? (a) 0 (b) 2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 47.7. Let a = -58.1 - o. What is a rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 2. Let f be b(3). Suppose -g = -5*g + f. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from reeseeves. Give prob of sequence evs.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 248 - 277. Let r(z) = -5*z - 103. Suppose f = -2*f + 69. Calculate the remainder when r(x) is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from {m: 1, r: 11, t: 8}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-22)*((-16)\/(-36))\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 500.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -9. Does c = 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, -1, 154 in increasing order.\nAnswer: -16, -1, 4, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, and 1 b when three letters picked without replacement from {c: 8, a: 7, b: 5}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -132, -2\/9, -0.1, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(10\/3))**(-13\/5) assuming r is positive.\nAnswer: r**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 2 + -4 + 9. Suppose 0*h + 41 = 2*h + o*j, 0 = 3*h + 5*j - 63. Let t be 14*(-2)\/(-16)*4. Solve -a = 3*l - h, 0*l - 2*l = -3*a - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 22582467731?\nAnswer: 22582467732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131379120485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 6:49 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1962 and 88024476?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/10 at least -957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 561047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -3 + -3 + 5 + 2*sqrt(19))*5)**2.\nAnswer: -150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-6*-2*sqrt(76))\/((-1*sqrt(20))\/sqrt(5)) - (-3 + 2*(sqrt(475) + -2*sqrt(475) - sqrt(475)))).\nAnswer: -1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 27.398 (b) 15 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 169*k**5\/20 + 233*k**4\/12 + 3*k**2\/2 + 192*k - 1. Find the third derivative of r(a) wrt a.\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000046169 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*q - 7865*q**2 - 7866*q**2 - 7864*q**2 + 23593*q**2.\nAnswer: -2*q**2 - 31*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31546 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:01 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07426 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/13)*w**(-3\/2))**(26\/7) assuming w is positive.\nAnswer: w**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*s - s - 34 = 0, 0 = 4*a + 2*s - 92. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**28\/(y**18\/y) assuming y is positive.\nAnswer: y**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**4 + 4*u**3\/3 - 81. Factor l(h).\nAnswer: -4*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 24 = -9. Let f be 2\/(-5)*10\/(-4). Suppose -4*l + a - f = 0, -2*l + 6*l + 4*a - 4 = 0. Put l, o, -5 in decreasing order.\nAnswer: o, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:21 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-3 + (2 - -2)). Is 8 a factor of ((-20)\/12)\/d*24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Let p be 0 + (-1 - -1) + 4. Suppose -p*j + 4*o = 0, -2*j - 2 = -3*o + 3. Which is the third smallest value? (a) j (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**3*m**3 + 26*d**3 - 32*d**2*m**3 - 3*d**2*m wrt m?\nAnswer: -24*d**3*m - 192*d**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 - 12*b**4 - 8*b**3 = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + 600036\/6975 + -9?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/(-84))\/(-16)*1\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250 smaller than 6177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from nggnggnggnnn?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 435123592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -145764 divided by 59?\nAnswer: -145764\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - k**2 - 307*k - 76*k.\nAnswer: -2*k**2 - 383*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41361, 82731, 124101, 165471, 206841?\n\"Answer: 41370*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + -6 - (2 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6448 + 0.5.\nAnswer: 6448.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(-1)*435\/(-232).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/25)\/c*c**(-3\/4))\/(c**7*c**(1\/4)) assuming c is positive.\nAnswer: c**(-227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-18*(-29)\/1827)\/(4*2\/644)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 23. Let f(m) = -2*m**3 - 15*m**2 + 7*m - 1. Let q be f(t). Find the third derivative of 4*r**3 + q*r**2 - 3*r**2 - 6*r**3 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -586*h - 8224. Calculate i(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -12, -23, -32, -39, -44, -47?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19100 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48568983 by -952333.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9415725 greater than or equal to 9415724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 864*z + 3*z**2 - 1524*z + 660*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}