diff --git "a/data/dm_maths/full_data_2/1250_11255.jsonl" "b/data/dm_maths/full_data_2/1250_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1250_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: 1134 - -57306\nAnswer: 58440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r - 20. Let v be 112\/6 - 12\/(-9). What is the greatest common factor of r and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23736*a**5 - 34*a**4 + 65*a**2 - 488476775*a wrt a?\nAnswer: -474720*a**3 - 408*a**2 + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 12 + 12 = 0. Suppose r + f*r = -108. List the prime factors of 3198\/r*-2 + 4\/(-18).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 + 8*n + 3. Calculate q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5330 is divided by 922?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16*2.16\nAnswer: -34.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 449500 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 15, b: 4}. What is prob of sequence bb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 1245\nAnswer: 1244.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.39 (c) 1 (d) 1\/4 (e) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 662*l - 341*l - 322*l + 2*l**4 - 465 - 2*l**2 to i*l**2 + v*l + w*l**4 + z*l**3 + j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 305 + 5?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 893.6673m?\nAnswer: 89366.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (35500\/(-3))\/(-3*(-3)\/54). Round j to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m + 95 = 45*m. Suppose -u + 3*u - 14 = 0. What is the remainder when m is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -932987, -932991, -932995, -932999, -933003?\n\"Answer: -4*b - 932983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1170, 1099, 944, 663, 214, -445, -1356?\nAnswer: -2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -s + 895893, 0 = -14*s + 15*s + 2*a - 895865. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114909.759 - 0.08.\nAnswer: -114909.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12557 - 12566. Which is the nearest to 0? (a) n (b) 1\/2 (c) -0.2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((6 - 8) + (6 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164447506.\nAnswer: 2, 79, 1040807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20*s - 13. What is the remainder when r(4) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1045 - -6?\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-748)\/187*(-9)\/(-12)*-6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + 0.11. Let t = n - -1.75. Which is the nearest to 0.1? (a) 1 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from {q: 5, p: 1, o: 8, t: 5}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 2*s - 3. Calculate the common denominator of (-5)\/2*260\/(-90) and q(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23514366 + 4.\nAnswer: 3.76485634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 14, -2, -4, 0, 3 in increasing order.\nAnswer: -66, -4, -2, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 99.97758um?\nAnswer: 0.09997758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1962 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.57527278 rounded to 3 decimal places?\nAnswer: -3.575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2545878, 5091750, 7637624, 10183500, 12729378, 15275258, 17821140?\nAnswer: 20367024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13*z + 18666 = 0. Suppose 4*i = -f + 1049, 0*f = -2*f + 4*i + z. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2740 = 3*r + 47*r - 3010. Suppose 0 = -5*d - 158 - 32. Let l = r + d. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -12 (c) -1 (d) -13.73 (e) 1 (f) 0.4 (g) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29656124.3236+-2\nAnswer: 29656122.3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -19, 1\/5, 27?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 88\/3. Let u = 49 + -79. Let c = u + 30.13. What is the smallest value in c, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2335*u = 3*f - 2331*u - 52, -2*u = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(81) + sqrt(81) - sqrt(81)) - (1*(sqrt(81) - sqrt(81)*2) - sqrt(81)))\/((3*sqrt(3)*1 + sqrt(6)\/sqrt(2)*-4)*-4).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -670*o**3 - 29*o + 341*o**3 + 366*o**3 + (-4*o**2 + 4*o**2 - o**2)*(-1 + 1 - 2*o) to the form r*o**3 + v + p*o**2 + h*o and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3491017 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 3*c**2 - 4*c**2 - 77.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -3\/7 (c) -5 (d) -0.03922 (e) 0 (f) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5162, 41116, 138558, 328184, 640690, 1106772, 1757126?\n\"Answer: 5116*s**3 + 48*s**2 - 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 - 43950*y**3 + 643823544*y**2 - 3142931670242*y - 9434590609353 = 0. What is y?\nAnswer: -3, 14651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9425 + -138?\nAnswer: -130.0575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7276 - 7276 - 52*d**3.\nAnswer: -52*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (16496\/61860)\/(472\/(-20))\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*m + 8, -3*d + 32 = 8*m - 3*m. Suppose -2*t = -3*l + 3, 5 = t + m*l + 1. Suppose t = 16*y - 19*y + 882. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -3266.6.\nAnswer: -3267.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66186 * 0.4.\nAnswer: 26474.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 453033 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*j = -13, 3*t - 469 = -j - 477 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/10 - (-2624)\/820) + 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 153783.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/3 (b) -106 (c) 2 (d) -121\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -19 + (13 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 927792 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**30\/(u**2\/u**5) assuming u is positive.\nAnswer: u**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - 5 - (0 + 1 + -2). Which is the third smallest value? (a) -5.5 (b) -4 (c) p (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let k(f) = 10174977*f. What is k(g(o))?\nAnswer: 10174977*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uww when three letters picked without replacement from uuwwn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -727096.\nAnswer: 3\/727096","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/966 and 143\/614538.\nAnswer: 98940618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzctztzzzczz. What is prob of picking 2 t?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 131 = -3*f, -f - 3*f - 172 = -2*g. Let m = 92 - 22. Let h = m + f. What is the remainder when 56 is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 212, 225, 242, 263, 288, 317?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83948097 by 27982699.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + 11.6332?\nAnswer: 11.7532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v - 4. Suppose -p - v = -5. Suppose -3*o + 44 = -p*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 times -0.9?\nAnswer: -41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-5\/4))\/(g**(-15)*g))\/(g**(-2\/25))**(-18\/11))**2 assuming g is positive.\nAnswer: g**(17731\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39951 - -66870. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 12. Suppose 0 = f*g + j - 66, -5*g - j = -6*j - 70. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -152, -231, -310?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 19*i - 10. Let z(d) = -9*d + 5. Suppose -3*c = 3*h - 30, 5*c + 5*h - h = 46. Let x(q) = c*y(q) + 13*z(q). What is the derivative of x(v) wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15138*(60\/9)\/(6\/1500). What is t rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 2, e: 7, w: 1, c: 1}. What is prob of sequence ecl?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*p + 126, 2*u + 36 = 2*p - 0*p. Let v be (-400)\/p + (-12)\/(-66). List the prime factors of (-4)\/v - (-284)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1031*f - 1419*f - 9*f**3 - 576 - 54*f**2 + 7*f**3.\nAnswer: -2*(f + 2)*(f + 9)*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012965 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -2, -1 in decreasing order.\nAnswer: 7, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 20 = -16. Suppose t*z - w - 2248 = 0, 0*z + 4*w - 1142 = -2*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -757, 2\/3, 0 in decreasing order.\nAnswer: 3, 2\/3, 0, -757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(2*r - 2*r - 2*r) + (3 - 2 - 4)*(-3*r + 4*r + 2*r))*(-4297*r - 368*r + 11436*r - 2390*r).\nAnswer: -21905*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 4. Let m be 5 - (-6)\/(z + -3). Suppose -m*y = -2*k + 14, -3*y - 7 = -0*k + 4*k. What is the lowest common multiple of k and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g - 2. Let q be y(-7). Let o = 566 - 522. Let s = o + q. Is 7 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p + 10. Let w be z(6). Let i = 17 + w. Calculate the remainder when i + 98 - (-1 + 4) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 3*i - 4. Let s be f(-4). Differentiate -7 + 12*p**4 - 6 + s*p**4 - 1 with respect to p.\nAnswer: 48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v - 9. Let n be d(-2). Let q = 1 + n. List the prime factors of (2345\/2)\/7 - (-1)\/q.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 13*r**2. Let k(o) = -4*o. Give k(a(s)).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15262 (base 7) in base 5?\nAnswer: 114013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139617 - -13.\nAnswer: 139630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 163*t**3 + t**2 - 2*t + 2. Let o be r(1). Suppose 11*g - o - 386 = 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -80*i. Let b(z) = 22*z**2 - 106*z + 12. Determine p(b(j)).\nAnswer: -1760*j**2 + 8480*j - 960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 40*j + 33*j**2 + 32*j + 60*j - 132*j.\nAnswer: 33*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 315. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12105934?\nAnswer: 2, 29, 31, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 8*c - 4. Let n be y(0). Sort -1, -2, n, -5 in decreasing order.\nAnswer: -1, -2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32328 times 0.1\nAnswer: -3232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8043214*r**2. Let u(q) = -q. Give h(u(x)).\nAnswer: -8043214*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2 + 2 = 3*k, 4*k = -3*a - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/5 + 1772*b**4\/5 + 112196*b**3 + 50511648*b**2\/5 + 193184064*b\/5 = 0. Calculate b.\nAnswer: -1396, -186, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2416550 is divided by 126.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1511327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + (-59)\/(-4). Let z(p) = 2*p**2 + 3*p - 4. Let j be z(2). Solve 3*d = a, -4*k = k + d + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 565200 and 11304?\nAnswer: 565200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from oihhoioiohho.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x + 484 - 2*x - 484.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 5 (c) 1 (d) 168\/37 (e) -368\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1095 and 224256?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 598*o**2 + 483. Let p(b) = 11*b**2 + 9. Let h(l) = 161*p(l) - 3*q(l). Let z(j) = -7*j. Calculate z(h(w)).\nAnswer: 161*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**3 - 2730*z**2 + 7*z - 2015?\nAnswer: 6*z - 5460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/8 + 2481625*j\/4 + 2481627 = 0. What is j?\nAnswer: -4, 4963254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 5:19 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.024 - 34.132.\nAnswer: -34.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + ((sqrt(1250) + 5 + 1 + sqrt(1250))**2 - sqrt(1250)) + 4).\nAnswer: 3450*sqrt(2) + 30216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13d10a (base 14) in base 11?\nAnswer: 430689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 2:10 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 109. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 53, 131, 241, 383, 557?\n\"Answer: 16*g**2 - 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -137*s - 320 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110 (base 2) in base 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 333189763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 235d98 + -198?\nAnswer: 235c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-13)*(-468)\/108?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1639, 1633, 1623, 1609, 1591, 1569?\nAnswer: 1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*5\/(-90)*3. Let z = 0.1 + 2.9. Let t = z + -3. Which is the nearest to t? (a) l (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**3 + 7*z**2 + 5*z - 23. What is the units digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264375331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*2*-6 + sqrt(1152) + 0 + -2)*-3 + 2)**2.\nAnswer: 12672*sqrt(2) + 1254592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47383 is divided by 23553?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v - 185*n + 189*n + 238, v - 136 = -3*v - 4*n for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-2*m + 0*m + 0*m) + (-2 - 3 + 6)*(3*m - 3*m - 2*m) - 1 - 4 - 26*m + 6 in the form d*m + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172101?\nAnswer: 3, 57367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) 1 (c) 0.05032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -4, -1.7, 294, -1\/13 in ascending order.\nAnswer: -67, -4, -1.7, -1\/13, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - l = l + 702, -5*p + 5*l = -690. Let f(y) = -285*y + 145*y + p*y. Let h(v) = 28*v. What is f(h(d))?\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/(-36) + 2\/1. Let m = 21 + -20. Determine v, given that z*v**2 + 2\/3*v - m = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 7*t + 0*t = -5*t - 14, -35*t + 105 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6285, 6256, 6229, 6204?\n\"Answer: w**2 - 32*w + 6316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61361 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 59 - (-1 + 2 + 3). Calculate the highest common factor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 3*s**2 + 8*s - 14. What is t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 53. Suppose -4*o = -8, -o - 45 = i*r - 2. What is the lowest common multiple of 1 and r\/6*(-4)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + -6 + -29 + (44 - 20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 74970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 6*f - 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 59 + (19 - 40) - (77 - 2).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 11 = -5*j. Suppose 2*t + 8 = 5*n, n = -0*t - 5*t + j. Are 0 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-1440)*(-32)\/(-6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 14. Let x(b) = -b - 4. Let z be x(-6). Let g be -1 + 1*(z + 4). Solve n + g*d = 5, s*d = 2*d + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.2522363 milliseconds to minutes.\nAnswer: 0.000020870605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1262692 centuries in months?\nAnswer: 151.52304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*r - 6*l**2 + 227*l*r - 2*l + 539*r + 4 with respect to l.\nAnswer: -4*l*r - 12*l + 227*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 8}. What is prob of sequence yy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x + 5. Let p be s(5). Let i = 1256 + -1255.5. What is the second smallest value in p, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 68*b**5\/5 - 91*b**2 - 722*b. What is the derivative of t(w) wrt w?\nAnswer: 816*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.0745 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973003.\nAnswer: 973003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.3 - 18.28. Let t = -4.4 + 4. Sort b, 0.4, t in ascending order.\nAnswer: t, b, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 37*h - 96 = 0. What is the remainder when 70 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 11 = s, -3 = -3*s + j + 2*j. Factor 11*x**2 + 5*x + 21*x**3 + 4*x - 2 - 4*x - 17*x**s.\nAnswer: (x + 1)*(x + 2)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/(-40)*4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2)*(-3)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 59787 = -3*z, 0 = -5*z + j + 31068 + 68595. Suppose i + 10*i - z = 0. List the prime factors of (12\/16)\/(9\/i).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 66 = 4*x, 0 = 4*x - 5*r - 31 - 32. Suppose 25 = -12*y + x*y. Suppose 1380 = -7*h + y*h. What is h rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {e: 5, q: 2, z: 1, u: 2, j: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -68. Let f = -22 - l. Let a(j) = j. Let k(c) = -10*c. What is f*k(m) - 6*a(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 21*w - 15*w**2 + 72*w + 18*w**2 - 2*w**2 in the form o*w**2 + s + b*w and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-17)\/k*k**(-2\/7)*((k*k**(1\/3)*k)\/k)**(19\/4) assuming k is positive.\nAnswer: k**(-209\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 10 = 0, 4*s - 3 = -s - 4*v. Let j = -0.08 - -0.88. Let o = -0.6 + j. Which is the nearest to -1\/3? (a) s (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -58. Which is greater: 11\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 60, 163, 278, 405, 544, 695, 858?\n\"Answer: 6*f**2 + 85*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/12 + 2*r**3\/3 - 5*r**2\/2 - 4*r. Let f be h(-4). Let d(q) be the first derivative of q**2\/2 + 9*q - 2. Determine d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 11. Let s be t(-3). Let g(j) = 15*j - 7. Let l(n) = 44*n - 20. Let y(x) = s*g(x) - 3*l(x). Find the first derivative of y(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 9. What is the units digit of m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 27*s**2 - 3*s + 4. Let m be x(-3). Suppose 0*h - m = 4*h. Let c = -39 - h. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 262821, 262849, 262905, 263001, 263149, 263361, 263649, 264025?\n\"Answer: 2*n**3 + 2*n**2 + 8*n + 262809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 3, 0.14, 0, -29458, 0.09?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3*w + 21*h**3 - 11*h - 345*w**3 wrt w?\nAnswer: 2*h**3 - 1035*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 2)\/(1\/3). Suppose 3*m + p = 5*m. Suppose 3*w + 3 = m*x + 27, w = 2*x + 12. Solve -z + 11 = 2*i, -2*i = -w*z - 6 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9033 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15889745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2422 + 1254 + 1342 + 2*o**2.\nAnswer: 2*o**2 + 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztt when three letters picked without replacement from ttttztztztz.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/11 + 36*k**3\/11 + 760*k**2\/11 + 1404*k\/11 + 62 = 0. What is k?\nAnswer: -11, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1613 = f + 2*f + 5*k, 3*f - 3*k = 1629. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2779909 = 21*o - 2779825 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let g(r) = -11*r**2 + 23*r + 10. Let l(v) = 13*v**2 - 22*v - 15. Let n(u) = 3*g(u) + 2*l(u). What is o(n(d))?\nAnswer: 14*d**2 - 50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39204611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(sqrt(70)\/sqrt(2))\/sqrt(5)*-1 + -2*(1*sqrt(567) + 5 + sqrt(567)))**2 + 2.\nAnswer: 800*sqrt(7) + 11301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11716*s + 11723*s - 35166*s + 51 + 11727*s + 213*s**2 in the form h*s + q*s**2 + t and give t.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -13410?\nAnswer: -13404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74703413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a day in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a51a (base 12) to base 13\nAnswer: -8284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 15*s - 15. Let n(t) = 6*t - 41. Let b(m) = -7. Let g(l) = 5*b(l) - n(l). Give 12*g(q) + 5*o(q).\nAnswer: 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 594, 1198, 1814, 2448, 3106, 3794, 4518, 5284?\nAnswer: 6098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314450485 take away 2905?\nAnswer: 2314447580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:25 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 + 5*v**2)*((-3 + 4 + 1)*(96*v + 152*v + 7*v) + 4*v + 8*v - 7*v).\nAnswer: 1030*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6949.\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15951\/(-4354623))\/(5\/((-315)\/6)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44289689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g - 10*g + 23*g + 73*g**3.\nAnswer: 73*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-2)\/(-10) + (-19448)\/(-260) and 420.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:35 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14261481.\nAnswer: 3, 13, 41, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/7 + 7*k - 390\/7.\nAnswer: -(k - 39)*(k - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 34971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 2*m + 1. Determine k(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3208703, 3208650, 3208597?\nAnswer: 3208544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.5072 * 0.2.\nAnswer: -1.50144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kerscraaaarra. What is prob of picking 1 e, 1 a, and 2 r?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:25 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 52724900?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 483823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 42*f + 608*f + 3240*f in the form a*f + k and give a.\nAnswer: 3806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 + y + 1. Let a(v) = -v**3 + 3*v**2 + 11*v + 8. Let c(n) = a(n) - 5*j(n). What are the prime factors of c(5)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*s - 10248 = -117*s. Let h(x) be the first derivative of -x**4\/4 - 2*x**3 - 2*x**2 - 3*x - 2. What is the remainder when s is divided by h(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1 + 22*k**2 - 22*k**2 - 4*k**3. Calculate p(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*x - 310, -23 = 2*u - 4*x - 155. Suppose r - 5 = u. What is the greatest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64222825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 13*d - 134. What is h(13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 1. Let y be m(3). Let i(r) = -r + 18. Let o be i(13). Solve -1 = -2*q + y*p + 5, p + 18 = -o*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72203729?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 20*q**2 + 11755*q - 11730.\nAnswer: -5*(q - 46)*(q - 1)*(q + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 288 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 451853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 - 2.1. Which is the third biggest value? (a) -0.4 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -6, 119\/6, 241, 0.01 in ascending order.\nAnswer: -6, -3\/4, 0.01, 119\/6, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2018 and 22\/47423?\nAnswer: 94846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1123213*f**4 + 12521632 with respect to f.\nAnswer: 4492852*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150 - (-115269)\/770)*7\/(42\/(-1240)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruuuuubuuuuuu. Give prob of picking 1 b and 1 r.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/3 - x. Suppose 19 = -3*i + 4*i + 2*w, 5*i - 55 = -2*w. Let p(m) = -m + 9 - i. Calculate v(p(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 1. Let r(b) = b. Let h(j) = 2*r(j) + w(j). Let k be h(2). What is the remainder when (3\/(-2))\/(k\/(-10)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -271.527 to the nearest integer.\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*t + 525*t + 30*t**2 - 261*t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-17)\/(-4) - 4). Is p not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*m - 90, -5*f + 0*f - 2*m = -90. Calculate the remainder when 83 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223210031 (base 4) to base 12.\nAnswer: -87325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -36*z**3 - 3*z**2 + 9*z + 8. Let t be n(-5). Suppose 13*v = 2801 + t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-10) - (-119)\/(-35). Let c(d) = -d**3 + 9*d**2 + 1. Let i be c(9). Sort -3, i, b in decreasing order.\nAnswer: i, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 21 - -114 - 4\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*d = -236*d + 220. Let o be (-3)\/((-27)\/6)*3. Let p be 5\/10*4\/o. What is the highest common factor of p and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2 - 5563069*y + 16689216 = 0?\nAnswer: -5563072, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9602*n**2 - 18583*n**2 - 28*n**3 + 8979*n**2.\nAnswer: -28*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*x + 60*x - 624 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9*i + j = 15, -i = 5*j - 3. Let b be -782 - i\/(3 - 6). Let y = b + 2021. What is y rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 68854044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 931986 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3\/8, -25195 in ascending order.\nAnswer: -25195, -3\/8, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116053, -232109, -348167, -464227, -580289, -696353?\nAnswer: -812419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*r + 2 = 4*y - 87*r, -r = 4*y - 1. Solve 193*c - 197*c + 12 = y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2)\/((-4459)\/59878).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308190 is divided by 308146.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:41 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -324*f + 66. Let z(l) = 25*l - 5. Let y(h) = 2*n(h) + 27*z(h). Let k be y(-1). Let q = 30 + k. Which is smaller: q or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3 = -5*x, -3 = -5*z - 5*x + 9*x. Solve -2*k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11908 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbtbt. Give prob of picking 1 b and 1 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2) + 7\/10 + -3. What is the third smallest value in p, -72, 2\/17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94ab1a02 - 1?\nAnswer: 94ab1a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17355971 - 34*l**3 - 12*l + 17355971.\nAnswer: -34*l**3 - 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77296485 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + 13*t - 1. Let i be n(6). Solve -i = -6*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 47?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -113?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2398, -2516, -7430, -12344, -17258, -22172?\nAnswer: -27086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 116*a - 43. Calculate w(39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**4*r + 430617*i*r - i - 108*r + 65699 with respect to i.\nAnswer: -8*i**3*r + 430617*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122688468 + 200*f + 5*f**2 - 122688468 - 200*f.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(0*s - 2*s + 3*s + (0 + 0 + 1)*(-2*s + 2*s + s) + 2*s + s - 2*s - 2*s - 1 + 1 - 3 + 3 + 2*s + 0*s + 5*s - 4*s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 691662 and 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -40856255.2 to the nearest 10000.\nAnswer: -40860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - 2*n + n**2)*(1 + 2 - 2)*(422248 - 422248 - 6810*n**3).\nAnswer: -6810*n**5 - 6810*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1447 divided by 1.\nAnswer: -1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, -2815, -10553, -25611, -50431, -87455, -139125?\nAnswer: -207883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3722*u**2. Let h(t) = -28*t - 13. Calculate h(g(r)).\nAnswer: 104216*r**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 3. Let r(n) = -9*n**2 - 10*n + 6. Let v(i) = -5*i**2 - 5*i + 4. Let y(w) = -4*r(w) + 7*v(w). Give -5*a(k) + 4*y(k).\nAnswer: 4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241\/3 + 81. Let r = -174\/73 + 35876\/657. Let n = r + -52. Sort 4, g, n.\nAnswer: n, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 13 = -m - 8*d, m - d = -13. Let n be (-5 - (m + 4)) + 3. Let r be 16\/108*(-4 + n). What is the closest to r in 0.5, -2\/7, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -3 (b) 315 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 160331476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, z: 1, n: 1, o: 1}. Give prob of sequence zm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7104, 7113, 7134, 7173, 7236, 7329, 7458?\nAnswer: 7629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 1. Let f(i) = -2*i - 3. Let m(s) = -3*f(s) + 7*g(s). Suppose -5*c - 3 = -2*c, -25 = -4*z + 5*c. Let b = 8 - z. What is m(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2500, -3970, -5440, -6910, -8380, -9850?\nAnswer: -11320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12 - (-146)\/12)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 0, 6, -5, -4 in ascending order.\nAnswer: -5, -4, 0, 6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549859 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c - 55. Solve c = -4*h - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*s = 16, 4*s + s - 9 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730871?\nAnswer: 23, 43, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/6))\/j**20*(j**(-2\/3))**12)**(-20) assuming j is positive.\nAnswer: j**(1630\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1320 - 1318. Suppose -1 + 4 = -f. Put -16, f, n in decreasing order.\nAnswer: n, f, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20110320 (base 4) to base 13.\nAnswer: 126a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15834, -32368, -49600, -67530, -86158, -105484?\n\"Answer: -349*r**2 - 15487*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3374*n**6 - 261*n**2 - 2*n + 3?\nAnswer: 404880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111 (base 2) in base 5?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7286*x**2 + 3968*x**2 + 3691*x**2.\nAnswer: 373*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/16187 - 11735573\/32374. Let q = -362 - t. What is the third biggest value in q, 3, 4, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 18 = 4*s - f, -19 = -5*s - f. Solve u = 4*l + s*u + 24, 3*l - u = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 100272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**5 + 2340*u**4*v**2 - 2*u**3 - 6*u**2 + 29*u*v**2 + 7 wrt u?\nAnswer: -120*u**2 + 56160*u*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + -3103?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**4\/2 - 8*d**3\/3 - 3*d**2\/2 - d + 2216. What is n(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71.3*147.\nAnswer: 10481.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 520*d + 19. Let b(t) = 197*t + 6. Let s(k) = 8*b(k) - 3*n(k). Let p(g) = -5*g + 3. Calculate -17*p(i) - 6*s(i).\nAnswer: -11*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (14 - 20))*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2741, -2739, -2737, -2735?\nAnswer: -2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 6. Let p(x) = 1076*x**2. Give p(y(d)).\nAnswer: 4304*d**2 - 25824*d + 38736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 4, -10, 76, -5 in increasing order.\nAnswer: -10, -5, -2, 4, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 9:09 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than 1397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/5*v**3 + 2*v**2 + 2\/5*v**4 - 4\/5*v + 0 = 0. What is v?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11557 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50.81 - -1.19. Let w = k - 51.99958. What is w rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxpspxnjsphnhp. Give prob of picking 1 n and 2 h.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*y + 2 - 12, -y = d + 6. Let o be 2\/(-1) + 4 - d. Let h = 9 - 14. Put 0, h, o in ascending order.\nAnswer: h, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/36973 and -2\/5.\nAnswer: 184865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -24. Suppose -w*p - 24120 = 3*p. Does 16 divide p\/(-50) + (-2)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 2. Let n = 0.2 + -0.6. Which is the third smallest value? (a) n (b) 1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yqoyy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5542, 5608, 5718, 5872?\nAnswer: 6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.960375 - -0.048825. Let f = -0.07 + 28.07. Let m = i - f. Round m to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 130?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8742 - -67.1958. Round i to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5131780, -1, -4 in decreasing order.\nAnswer: 5131780, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16 (b) 0.4 (c) -5 (d) 11\/7 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -73, -124, -185, -262, -361, -488, -649, -850?\n\"Answer: -u**3 + u**2 - 47*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-54)\/(-1701))\/((-2)\/24) + 8\/(-28). Let d be 8\/(-6)*9\/66. What is the second smallest value in d, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537478423.\nAnswer: 653, 659, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 482425 and 1678.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -256000 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*x + 39*x - 4*o + 35, 5*x = -4*o + 45. Let i(p) be the third derivative of p**5\/10 + 7*p**4\/8 - p**3\/6 - p**2. Is i(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3)*o)**27 assuming o is positive.\nAnswer: o**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 442 = -5*r, 0 = -2*r + 5*r + 5*z - 259. Suppose 2*b = 24 + r. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let b(t) = -93*t**l - 7 - 3*t - 83*t**2 + 174*t**2 + t**3. Is b(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -236, -244, 5\/4, -0.5 in decreasing order.\nAnswer: 5\/4, -0.5, -236, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) + (11 - (7 + 2)). Let t be (-8)\/(-10) + 12\/10. Let u(f) = -4*f**3 - t*f**3 - f - 2*f**3 + f**3. Determine u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -5*f + 179*d - 178*d, -f + 6*f - 7*d = -33*d + 8 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + (sqrt(112) + 1 + 2)**2 + -4 - (((sqrt(112)*-1)**2 + sqrt(112))*4 - (sqrt(112) - (2*sqrt(112)*1)**2))*3).\nAnswer: -2571 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.023, -1\/3, -2, -82?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 144*p - 1 = -141*p, -4*t + 25 = -3*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**3\/2 + 215*l**2 - 425*l\/2 = 0. What is l?\nAnswer: 0, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -139*s + 1. Let y(k) = -16*k - 11. Let b(o) = -3*o - 2. Let d(x) = -11*b(x) + 2*y(x). Let m(q) = 3*d(q) - w(q). What is the hundreds digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 9) to base 10.\nAnswer: -829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2358737 or -2358734?\nAnswer: -2358737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2*w. Give s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -12. Suppose -38 = 5*d + 12. Let t(i) = -i**3 - 10*i**2 + 6. What is the remainder when o is divided by t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 18. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.16 + -9. Let y = m + -0.153. Round y to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -39, -50, -61, -72, -83?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 6*d + 272 = 0, 10*t - 39*t - d - 65 = -10*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millisecond in microseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297 - 293. Suppose -4*s + 57966 = 2*a, -3*a - 14454 = -p*s + 43487. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56942.737 - -4.\nAnswer: 56946.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k*o**3 - 382*k*o**2 - 4139*o**3 with respect to k.\nAnswer: 8*o**3 - 382*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3225)\/430)\/(10\/(-8)). Let p(v) = -v - 1. Let l be p(-4). Solve 0 = 3*g - l - n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198*b + 70*b - 2250 + 3480*b**2 - 268*b wrt b.\nAnswer: 6960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5 + 3 + 3*u to the form m + b*u and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 12 = -2*y. Suppose 6 = 3*w - y. Suppose -4*o = -c + w*c - 36, 0 = -3*o - 5*c + 16. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8905 + -8905. What is the second smallest value in 95, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 - -10 - (2 + -1). Let a(w) = -w**3 - 3*w**2 - w - 1. Let i be a(p). Suppose i*k - 12 + 2 = 0. Solve 4*j + k = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*z**2 - 143 + 143.\nAnswer: -114*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6667 (base 16) in base 4?\nAnswer: -12121213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 41*w = -470. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89164102 and 5633?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12*15\/(-2). Suppose 4*a - 40 = -d*p + 30, -5*p + 3*a = -105. Solve -3*h = 3*v + 2*v + 14, 2*v + p = 5*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 13*c. Let l be f(-13). Suppose l = -14*q + 2*q + 10368. Is (-26)\/65 - q\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65932.\nAnswer: 2, 53, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3014 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 = -3*x + 627. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 12:56 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*s + c - 61, -5*s + 58*c - 17 = 61*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6 - 4. Let t = -332 - -335. What is the biggest value in -1\/4, a, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, -89, -304?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 166597*c**2 + 18331 wrt c.\nAnswer: 333194*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -730*v + 9. Let b be (2\/2)\/(2\/(-10)). Is z(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2930894491 to the nearest integer?\nAnswer: 1431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxax when four letters picked without replacement from {t: 4, x: 4, f: 6, d: 1, a: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221734, -221695, -221630, -221539, -221422, -221279?\nAnswer: -221110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 725283431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 6 = -4*f + 23, -5*f + 3*t + 38 = 0. Solve h + 6 - f = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11265, -22527, -33789, -45051, -56313, -67575?\n\"Answer: -11262*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(50) - sqrt(200)))\/((sqrt(160) - -1*sqrt(160)) + -3*sqrt(10)*1).\nAnswer: -sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4*sqrt(28)*-1)**2 - ((sqrt(3388)*1)**2 - sqrt(28)))*-3.\nAnswer: -30*sqrt(7) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - y + 4*y + 7*y - 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + -10.86. Let t = o - -12. Let x = -4 + t. Which is smaller: x or -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*1)\/((-25)\/(-10) + -2). Suppose 26*l - 25*l = -2*f - 3, -5*l = 3*f - 13. Put m, f, 0, -5 in decreasing order.\nAnswer: 0, m, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -43*v**3\/6 + 61*v**2\/2 - 21*v - 1. Find the first derivative of g(f) wrt f.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a centimeter in micrometers?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.391 - -0.491. Put -0.13, q, -2\/7, -7 in ascending order.\nAnswer: -7, -2\/7, -0.13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 2:07 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 3*p**5\/160 + p**4\/8 + p**3\/4 + 16*p. Factor c(t).\nAnswer: 3*t*(t + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 1819, 2 in increasing order.\nAnswer: -6, -5, 2, 1819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6536 and 270904?\nAnswer: 221328568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**9\/4320 - r**6\/20 + 7*r**5\/12 + 9*r**2. Let y(l) be the third derivative of x(l). What is the derivative of y(k) wrt k?\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x**2 + 179*x + 20. Calculate i(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -218*t**5 + 15*t + 1 wrt t.\nAnswer: -4360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u**3 - 10*u**2 - 24*u - 7. Let o(n) = 9*n**3 + 9*n**2 + 24*n + 6. Suppose 4*c - 9 = -33. Let v = 11 + c. Let h(p) = v*o(p) + 6*k(p). Factor h(t).\nAnswer: -3*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407856713 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11670.91 - -2253?\nAnswer: 13923.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*g = -0 - 34, 3*s = 3*g + 42. Suppose -2 - s = -a. Let y = a - 8. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18\/11 + 123\/55. Let c = 14 + -10. Suppose -j = j + 3*i + 8, -j = c*i + 9. What is the second smallest value in l, j, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 33, 1\/42, -3\/31, -0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12200 + 10196 = 284*k + 5924 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(320) - sqrt(320)) + 2)**2 - ((sqrt(320) + sqrt(320)*-1 + 2)**2 + (3 + sqrt(320) + 0 + sqrt(320))**2).\nAnswer: -1299 - 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1649.1 + 1649. What is the closest to -2 in -18, y, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381259.\nAnswer: 17, 41, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/(-2)*6\/(-18). Let i(b) = t*b + 5*b - 3 + 16*b**2 + 24 + b**3. Let c be i(-14). Calculate the highest common factor of 29 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4 - 53*a**3 + 28209*a**2 + 10*a - 299779 wrt a?\nAnswer: -12*a**2 - 318*a + 56418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -71698 and -61482996.\nAnswer: -61554694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 885978621 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3514450 is divided by 2394?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37.9661 and -2.\nAnswer: 35.9661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/15)\/(1\/40). Let n be ((-3)\/(-6))\/(4\/c). Suppose 2*j = n*g - 321996, -38092 - 766906 = 5*j - g. What is j rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3)*(0 + 3). Let p = 13 + b. Suppose 3*u - 2*u - 8 = 0. What is the least common multiple of p and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 280*d - 822.\nAnswer: -2*(d + 3)*(d + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66667854899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, 0, -110?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 346032886 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.68 + 1.32. What is the second biggest value in -8, 0.3, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + 2 + 2 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 12, -2\/145?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0901777 centuries in years?\nAnswer: 9.01777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 924*c**2 - 6501*c + 61. Determine z(-7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/5 + 434*g\/5 + 436\/5 = 0. Calculate g.\nAnswer: -1, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(u - 3*u + 0*u) + 1 - 1 + u)*(-184*u - 1043*u + 472*u - 973*u).\nAnswer: 5184*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010200110110 + 12?\nAnswer: 12010200110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683299 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6198*x**3 + 0*x**4 - 10*x**2 - 6207*x**3 - 3*x - 2*x**4 - 8*x**2 to t + r*x + b*x**3 + z*x**4 + m*x**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/4*81136\/(-4). Let g = w - 8357. Suppose -60*a + g = -56*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 6 + 2 - 7)*(2*n + 4 - 4 + (-3 + 1 + 4)*(0*n + n - 2*n) + n - 2*n - n + 2 - 4*n - 2) as i*n**2 + x + c*n and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(5\/9)\/t)\/t*(t**(2\/7)*t)\/t)\/(t\/(t\/((t*t**28)\/t))*t**(15\/7)) assuming t is positive.\nAnswer: t**(-1972\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) - (sqrt(70) + sqrt(70)*3))*-6 - sqrt(70))\/(1*sqrt(250)).\nAnswer: 18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*q**3 - 1\/2*q - q**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1243 + 1242. Put f, 10\/3, 0.02 in decreasing order.\nAnswer: 10\/3, 0.02, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35980 + -25288. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.83 + 0.17. Let k = -22 + s. Let u = k + 17. What is the closest to -1 in -4, u, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635.424mm in nanometers?\nAnswer: 1635424000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 6283*q**2\/2 + 9500*q + 3371. What is the first derivative of u(p) wrt p?\nAnswer: 6283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118650.\nAnswer: 2, 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - 62*r**2 - 21*r + 1. What is t(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -8. Let c be ((-2)\/(-15))\/(544\/49640). Let r = o + c. Calculate the common denominator of -35\/2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.1, -56\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 14*j**2 - 9*j + 19. Give y(-15).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.223, -1\/3, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*u + 38, -2*v + 2*u = 3 - 19. Let z(n) = 0*n - v + 3 + n**2 + 9*n - n. Let o be z(-9). Solve -4*p - 4*j + 36 = 0, -p + 15 = o*j - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 8. Let d(u) = -u + 1. Let n = 1 - -5. Let r(c) = n*d(c) + h(c). Is r(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8241 to 2 dps.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*v - 668 + 163, 306 = 2*v - 5*u. List the prime factors of v.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -z - 877, -2*r - 5*z + 349 = -6*z. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7032*-7.92\nAnswer: 5.569344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1134*l + 37. Let d be f(-27). Let k = d - -56418. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -410, -0.5, 0.06, 87.2 in decreasing order.\nAnswer: 87.2, 0.06, -0.5, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 186\/195 + 4\/(-26). Let n = 5 - 3. What is the second biggest value in 1\/12, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 times 155.789\nAnswer: -7322.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1155*l + 66 = -1144*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r - 191 + 4*r**2 - 213 + 404. Let u(t) = -12*t. Determine g(u(q)).\nAnswer: 576*q**2 + 72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -584 and 0.474.\nAnswer: -276.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 83, 169, 289?\n\"Answer: 17*t**2 + t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 869979, 869969, 869959, 869949?\nAnswer: 869939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/54549167, 1 in descending order.\nAnswer: 1, 2\/54549167, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-220)\/(-33))\/4 + 3273036\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 2)*(742*p - 263*p - 349*p)*(2*p + 0*p - 3*p) to i*p**2 + c + x*p and give i.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -87\/5, -0.2, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 46 = 3*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -301.03 - -303. Let w = -0.03 - u. What is the third smallest value in w, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1076? (a) 1 (b) 0.1 (c) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 0.0123058.\nAnswer: -1.9876942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 149, 364, 665, 1052, 1525?\nAnswer: 2084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -81, -33, 0.1, -0.33, 1?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)*(-40)\/(-650)*-5.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose 0 = -2*o - 19 + 27. What is the highest common divisor of o and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*f - 20 = -3*n, -4*f - 70 = -5*n. Suppose -3*w + n*w - 1232 = 0. Suppose -2*o + 0*m + 70 = -2*m, 5*o - 4*m = w. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -55*z**3 + 12*z**2 - 3502. Let j(k) = -33*k**2 + 5*k. Calculate -24*j(q) + 5*x(q).\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -1\/30*c**5 + 0*c**4 + 3*c**2 + 0*c**3 + 0*c - 1\/5040*c**7 + 0 + 0*c**6. Let f(y) be the third derivative of z(y). Give f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 - -365. Let y = -715\/527 - -3347840\/6851. Let z = k - y. Which is smaller: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzztztatttztazzztttt. What is prob of sequence zat?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 1504*i**5\/5 - 3107*i + 915. Differentiate f(w) wrt w.\nAnswer: 6016*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a - 541 = -25*a. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1682 is divided by 214?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944 + 9*g**2 + 944 - g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 344 - 350. Let u(m) = -m - 3. Calculate u(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 14. Let q(l) = 7 - 1004*l + 993*l - 7. Give q(z(n)).\nAnswer: -66*n + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 880.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p. Let g(k) = k**2 - 1. Let u(m) = 2*m**2 - 1. Let i(f) = -g(f) + u(f). Determine o(i(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1353 + 3?\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -22, -10, 2, 6 in increasing order.\nAnswer: -22, -10, -7, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, d: 3}. Give prob of picking 3 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 0*c - 5*c**2 + 10 + 5 - 19*c. Let l(w) = 2*w**2 + 9*w - 7. Let n(t) = 4*a(t) + 9*l(t). Suppose -75 + 2038 = 626*q + 85. Calculate n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 2*p + p**2 + (0 + 5 - 3)*(-p**2 - 2*p**2 + 4*p**2) - 1196 + 2*p + 1196 + 6*p**2 in the form c + a*p**2 + n*p and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14520 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -897*k = -957*k + 1380. Solve 168 = k*m + 306 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4ef + ab?\nAnswer: 59a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 0.60740955459.\nAnswer: 0.70740955459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/30 - 11\/10. Suppose -2*h - 7 = -5*c, 5*c - 2*c = 4*h + 7. Which is smaller: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/6072*46*(-3880)\/(-10).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u + 11031*h - 11028*h = 78, -43 = -5*u - 2*h for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -96542*v + 1255040. What is q(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1404 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -54. Let i(h) = -5*h**2 - h. Let q be i(-1). Put c, 2, q in increasing order.\nAnswer: c, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/(13*(-4)\/52)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyoini. Give prob of picking 1 f, 1 y, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, 191, 682, 1175, 1670, 2167?\nAnswer: 2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002053 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74675 by 14935.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v**2 + 9*v + 2*v**6 - 9*v - 9*v**6 wrt v.\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*u + 9 = -18, -2*u = 4*n - 18. Factor 46*r**n + 51*r**2 - 9*r**3 + 3*r**4 - 92*r**2 + r**5.\nAnswer: r**2*(r - 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23379.\nAnswer: 3, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2*-13*(-6)\/(-8)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 2*p + 4. Find f such that -4*f + 1262*f**2 - p - 1261*f**2 + 4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + d + 0*d + 2.\nAnswer: d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 3*k + 0*k)*(-6*k + 2*k + 2*k) - 4*k**2 + 4 + 4*k**2 - 3*k**2 to y*k**2 + o*k + n and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = 3*o, -2*t + 33 = -o. Calculate the remainder when 52 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2739.8955 months to centuries.\nAnswer: 2.28324625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 + 102\/30. Suppose -5*p = -j*v - 15, -20 = -4*p + v + 3*v. Suppose 5*x - 8 = -q + 6, p = -4*x - 3*q + 20. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -39) + (14 - 3) - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.3 - 7. Let h be (12\/(-7))\/(12\/(-42)). Let o be (3\/(-9))\/((-3 + 1)\/h). Which is the closest to o? (a) -2\/11 (b) -2\/15 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 143\/8, 3\/10, 1\/2, -2\/3, 5?\nAnswer: 143\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 61 = 281. Solve -4*n - 4*t - x = 0, -4*n = -2*n - 4*t + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 1 (c) 0.5 (d) 291\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221022 (base 3) in base 5?\nAnswer: 21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106278366 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -7*p**6\/3 - 52*p**5\/5 - 17*p**4 - 32*p**3\/3 + p**2 + 4*p - 4. Factor b(x).\nAnswer: -2*(x + 1)**4*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 t when four letters picked without replacement from tmmmmtt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -237.82223 and 740.51.\nAnswer: 502.68777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4265 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 7*r + 5. Give c(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**3 - 27*q**2 + 1. Let k be m(-9). Find the third derivative of -3*y - k*y**2 + 160*y**4 + 2197*y**2 + 8*y wrt y.\nAnswer: 3840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026564024 to seven decimal places.\nAnswer: -0.0000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/5)\/(3\/15). Let q = l - -7. Suppose 565 = -z + q*a, -a = 4*z + z + 2799. Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.0359718 and -288203.\nAnswer: -288207.0359718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)\/l)**21)**(-3\/4)*(l*l**0*l*l)**14*l**7\/l*l\/l**(-5) assuming l is positive.\nAnswer: l**(237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/168*6*((-675)\/(-360))\/(3\/140).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 96?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2811828246 to the nearest integer?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 0 - (55 - 41).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -0, 0 = 5*t - 3*r + 28. What is the tens digit of (4 + -9)\/t - -57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11220, -22197, -33174, -44151, -55128, -66105?\n\"Answer: -10977*f - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17763 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*(-102)\/3. Let k be (-134)\/(-8) + (-3)\/(-12). Suppose -k = o - 2*o. What is the greatest common divisor of o and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 617997539 to the nearest integer?\nAnswer: 24860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t + 115648 + 19550 = 0. Is t a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -969*z + 966*z + 10 = -d, 4*z + 5*d - 45 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*o**2 - 136*o**2 + 43482*o**3.\nAnswer: 43482*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2175\/10)\/15)\/((-61)\/122)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 223101221 (base 5) to base 10\nAnswer: 987686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 226366 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*r - 49*r - 49*r + 178*r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/25261288 and 109\/91416.\nAnswer: 75783864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20883969?\nAnswer: 3, 1453, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**(-19)*x)\/(x\/(x\/x**(-1\/3)*x)))\/(x**(2\/21)*x)**15 assuming x is positive.\nAnswer: x**(-632\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -10*p**4 - 2779*p**3\/2 - 1310*p**2 + 277*p\/2 + 69 = 0.\nAnswer: -138, -1, -1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z - 4. Let j(m) = m - 1. Let h(b) = 6*j(b) - q(b). Let k(c) = 6 + c - 1 + c - 8*c. Let x = 12 + -9. Calculate x*k(l) + 8*h(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*-4*(14 + -3). What is the highest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2 + t - 1. Suppose 3*l - 2 = 5*l. Let i = 1 - 1. Let y = i - l. What is o(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97771 at least as big as -97772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 49.\nAnswer: -18\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:50 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40\/(-12)*(-54)\/10 and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/19 - 18*u**2\/19 - 24*u\/19 + 40\/19 = 0. What is u?\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + x = 6505, -33*h = -37*h + 3*x + 25985. What are the prime factors of h?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343395 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -2 - 7\/2*q**2 - 2*q - 1\/4*q**4 - 7\/3*q**3. Calculate r(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - (-1 + (-284245)\/(-150)). Let v = -1890 - z. Calculate the common denominator of 15\/16 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1949 + 4408. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24*4\/6\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 2. Let m be o(0). Let j(t) = t + 2. Let p be j(7). Suppose p = -m*c + 5*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*y + 1596 + 2756 = -317*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 100442 + -3.1\nAnswer: 100438.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 58\/95?\nAnswer: 58\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (14 - (9 - 3)) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.7 - -5. Let p = -3.6 - -0.3. Sort p, q, -5\/2.\nAnswer: p, -5\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/4*-18*1. Let c = r - 14. Solve h = c*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = 20. Suppose 0 - 20 = -c*t. Suppose 20 + 25 = t*i. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 21. Suppose -15 = 3*i + o + 4*o, o = -5*i - 47. Determine v(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/908 and 81\/4994.\nAnswer: 9988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -1, 8, -35 in descending order.\nAnswer: 8, 6, -1, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (9 - (6 - 2) - (4 - -2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1504 divide 9991072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8 and -11 + 9 + (-136)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**3 + b**2 + 4*b - 1 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3376, -3402, -3428?\n\"Answer: -26*u - 3350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-94)\/4794*17)\/((1\/148)\/(6\/(-8)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4058533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444086 is divided by 148028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*1*22\/858 + 64228\/52 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - c - 2, 4*k + 10 + 2 = -c. Let u = 2 - k. Suppose 5*b + 3*f = 159, 5*b + 3*f - 167 = u*f. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7481851 to the power of 1\/2, to the nearest integer?\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = -k - 57, -3*k - 3 = 0. Calculate the greatest common divisor of w and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537a (base 14) in base 8?\nAnswer: 34120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.63 (b) 2\/9 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 + 5*y**2 + 2*y - 10. Let h(n) be the third derivative of -n**6\/120 - n**5\/60 - n**3\/6 - 4258*n**2. Give -5*h(v) - o(v).\nAnswer: 2*v**3 - 2*v + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-644)\/(-56) - (0 + 4)). Put z, -1, -6, 2 in decreasing order.\nAnswer: 2, -1, -6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569, -5532, -19285, -46220, -90729, -157204, -250037?\nAnswer: -373620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:01 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g = 15*g - g + 6625. Calculate the greatest common divisor of g and 400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64029234.41 rounded to the nearest 100000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 387 + x**2 + 8*x - 313. What is the remainder when k(12) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - 2*s + 2*s)*(15 - 15 + 5*s) + (-2*s**2 + 0*s**2 + 0*s**2)*(-1 - 4 + 3) in the form c*s**2 + w*s + n and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-68) + (-53)\/17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*(3 - (-6405)\/(-14)). Let d = q - 112. Suppose -4*o + 509 = -d. Does 51 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -57. Solve g - 7 + 5 = -3*v, -2 = r*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 532 + -533.735. Let q = i + -0.097. Round q to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 2. Let v(i) = 2*i - 2. Calculate -3*h(p) + 4*v(p).\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18253*w**3 + 6336*w**3 - 15*w - 17715*w**3.\nAnswer: -29632*w**3 - 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.00265\nAnswer: -0.00106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 374?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 31) + (-2 - 0) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 - -94 - (-48 - -59)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**7\/14 + 26*v**6\/15 + 2*v**4\/3 + 23*v**2\/2 + 994*v. Find the third derivative of n(l) wrt l.\nAnswer: 180*l**2 + 1248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((1\/20)\/((-35)\/140)). Let l(o) = -9*o**2 - 7*o - 4. Let z(i) = 10*i**2 + 8*i + 5. Suppose -2*g = -1 + 13. What is g*l(j) + u*z(j)?\nAnswer: 4*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y + 39*y + 14*y + 22*y + 6*y + 21*y - 78*y.\nAnswer: 46*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 6:34 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21976 and 1206?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*x**3 - 427*i*x**2 + 1236*i*x + x**3 - 14838*x - 20 with respect to i.\nAnswer: 2*x**3 - 427*x**2 + 1236*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:06 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**3 + 8*o**3 + 38*o - 18*o**3 + 5*o to the form l*o**3 + t + j*o + c*o**2 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2957216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2276 + 9203\/4. Let k = r - 359\/20. Find the common denominator of 51\/40 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvv when three letters picked without replacement from {m: 6, z: 2, b: 5, r: 1, v: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1721*l**2 + 6903*l - 86. Calculate d(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 45. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 19 = -5*s, -3*g + 15 = 4*s + 4. Let f(m) = m**2 - 4*m - 2. What is the units digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 19 = -t + 2*m, 0 = 3*t - 5*m - 53. What is the remainder when 163 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = -j - 27, 4*j = 2*g. Find the second derivative of -3*z**2 + g*z + z**2 - 12*z wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -148*v**4 + 704*v**3 - 2288*v**2 + 768*v**3 + 0*v**3 - 128*v = 0.\nAnswer: -2\/37, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 893146573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-595)\/1106))\/(1148\/(-9758))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*d - 3\/7 - 1\/7*d**2.\nAnswer: -(d - 3)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 1 - (-47 + 45) - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -475 + 475.000000046. Round z to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4699 + ((-3)\/9)\/(2\/(-12)). Let j = a + 51721\/11. Determine r, given that -j - 18\/11*r**2 + 54\/11*r + 2\/11*r**3 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6072 and 1044936?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3*s + 128, -5*m + m + 124 = 2*s. Suppose -v = 3*y - 33, -5 = 4*y - 2*v - 39. Let f = 20 - y. What is the remainder when m is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297058 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -26580.43 to the nearest ten.\nAnswer: -26580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431028797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 3*o = 0, -2 = -2*y + 4*o. What is the smallest value in y, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32063.\nAnswer: 32063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 179044*m**4 + 6*m**3 + 49*m - 4231.\nAnswer: 20*m**3 - 2148528*m**2 + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*104390.\nAnswer: -1357070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 16. Let r be b(12). Suppose r*w - 782 = -30. Suppose 4*v = -3*c + 196, -4*v + w = 2*c - c. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000457723951 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(192) - sqrt(847)*-5)**2 + sqrt(28)\/((2*sqrt(8))\/sqrt(2) + sqrt(4))*-1.\nAnswer: -sqrt(7)\/3 + 1361367\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6539, 6552, 6565?\nAnswer: 6578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 - 251*s**2 - 96*s + 2133. Determine k(63).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1215*s**3 + s**2 - 26*s + 24. Let o be k(-12). Round o to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(217\/1674) - 4\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 3\/(10 - (-978)\/(-96)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 156. Let u be (10\/(-6))\/(t\/(-36)). Which is the nearest to 1\/2? (a) -2\/9 (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/30*5\/2. Solve -y*g = p - 17, -p - 7*g + 21 = -3*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let i(v) = -3*v**3 - 2*v**2 + 4*v. Let q be i(-3). Suppose -q + 52 = -g. Put x, g, -0.6 in increasing order.\nAnswer: g, -0.6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/3 - 734*a\/3 + 1460\/3 = 0. Calculate a.\nAnswer: 2, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 555847\/38579320 + 3\/17576. Find the common denominator of 49\/5 and o.\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 73976693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11875?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/6 + s**3\/3 - 189*s**2. Calculate p(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7513192 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*f - 49*f - 12*f + 12330 = 60*f for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (5 + -4 - -18)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylk when three letters picked without replacement from {y: 1, l: 1, k: 3, h: 2, a: 7}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*f*z - 8*f - 57*z + 489 wrt z.\nAnswer: -22*f - 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850338.7 tonnes to kilograms.\nAnswer: 850338700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 176 * -17\nAnswer: -2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 1442 - 2956 + 1410)*(5*t - 9*t - 13*t).\nAnswer: -17*t**2 + 1768*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242238803?\nAnswer: 242238803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000204548 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 11. Let p be 5 + y + 0 + -1. Let t(j) = -3*j + 7*j - j - p - 4*j. Calculate t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -785.47 + 785.5. Suppose -u - 4*u = 0. What is the nearest to u in 1, f, -4, 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8002.000013591 + 8002. Round b to seven dps.\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019636?\nAnswer: 2, 23, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -18 - (-34)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71\/((-250914)\/(-1995)))\/((-1)\/(-16)) - 9.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273378 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(-6)\/10. Suppose -3*n = 5*g - 25, 3*n + 3*g - 20 = -g. Which is greater: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 7*x - 15*x + 0*x + 1 + 5*x - x.\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*t - 33*t - 42*t)*(3*t - 7*t + 2*t) in the form m*t**2 + x*t + i and give m.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, 64, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1064 and 121538592.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 2*m + 35. Let j be x(5). Suppose -g - 10 = -4*c, j = -3*c - 5*g - 3 + 22. Solve -c*k = -2 + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**4 - 98*b**3 - 17*b**2 + 23*b?\nAnswer: -48*b - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2485851 or -2485850?\nAnswer: -2485850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let i(b) = 2670*b - 1885*b + 5700*b. Determine i(d(g)).\nAnswer: -6485*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*b + 2 + (-2 - 1 + 4)*(-b - b + b) + (2*b + 4 - 4)*(2 - 39 + 0 + (2 + 1 - 1)*(4 - 5 + 0)).\nAnswer: -82*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 - 1.01. What is the third smallest value in -4, -3\/4, v?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 1. Let x(q) = q**2 - 2*q - 2. Let k(o) = 32*o + 287. Let t be k(-9). Determine t*x(p) - 3*d(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 209164, 55 in increasing order.\nAnswer: 1, 55, 209164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -3\/10*p**5 - 1\/4*p**6 + 6 - 3\/4*p**2 + 3\/4*p**4 + p**3 - 3\/2*p. Suppose f(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*f**3*x - 3008*a**2*f*x + 2*a**2*f + a**2 + 23*a*f**3 + 54*a*f**2 wrt x?\nAnswer: -a**2*f**3 - 3008*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a = a + 40. Solve 4*l + a = 8*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*1281\/61?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*s - 9*s - 536. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/9*3\/25. What is the closest to 0.05 in -4, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/2742 and -85\/67179.\nAnswer: 134358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321 (base 4) to base 9.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6739 and 18377253?\nAnswer: 18377253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 389 + -14. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87257623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Suppose -11*m**3 - 16*m**4 + 4*m**5 + m**2 - 11*m**f - 3*m**2 = 0. What is m?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2716*v**2 - 43235*v wrt v.\nAnswer: 5432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/((-1053)\/756) - -2*5. Which is the closest to 1? (a) 0.4 (b) -6\/5 (c) -2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 22 + 2*o + 43 + 43.\nAnswer: 2*o - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4152232*x**2*y - 3*x**2 - 3*x*y + 1867830*x wrt x.\nAnswer: 8304464*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1015 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81*-5.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16499 is divided by 48?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c = 2*i, -5*i - 4*c = 0. Solve -2*l + 6*l = i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2129.2 - 1889. Let h = -237 + q. Round h to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(((l*(((l**(2\/7)\/l)\/l)\/l)\/l)\/l*l)\/l)))\/(l**(9\/7)*l)*l**(-4\/15)\/(l*l*l**(-21)*l))**(-1\/46) assuming l is positive.\nAnswer: l**(-88\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*g = -24, 0 = -77*d + 81*d + 23*g - 43 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + 3. Solve -3*k - k = -4*b - 28, d = 5*k - 2*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {n: 2, m: 1, p: 10, z: 4, f: 2}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 16\/87 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -34. Let z = -7.6 - -4.2. Let t = z + -0.6. Which is the nearest to -1\/4? (a) -5 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.054 + -3.946. Which is the closest to 3? (a) -2\/5 (b) -2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-34)\/(-6) + -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*i**3 - i**2 - 1\/4*i + 1.\nAnswer: (i - 4)*(i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697407537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 199608938*x**2. Let d(t) = -t. Calculate z(d(g)).\nAnswer: 199608938*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7656516 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 22. Suppose -r + h = 5. Are r and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 1974.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -253285337\nAnswer: 253285337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, u: 2}. What is prob of picking 2 u and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:18 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 943*h + 1890.\nAnswer: -(h - 2)*(h + 945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7020 and 3989520.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9037947, -18075899, -27113851?\n\"Answer: -9037952*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 3*g - 1. Let f = 56 - 54. Let t(h) = 2*h**3 + 2*h - 2. Determine f*o(r) - 3*t(r).\nAnswer: -2*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 906 and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 + 0.215\nAnswer: 0.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - 74 + 80 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 863 and 19.\nAnswer: 16397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(2\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 796328.4 years?\nAnswer: 796.3284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 - 122. What is the nearest to -1 in -1, -1\/4, 3\/2, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081554441 rounded to four decimal places?\nAnswer: 0.0816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (1683\/(-55) - -11)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47882 or -48388?\nAnswer: -47882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-1)*(7 + -6). Suppose -3*u + 18 = 2*l, 0*u + 3*u - s = 2*l. Put 2, 1\/5, 0.3, u in increasing order.\nAnswer: 1\/5, 0.3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) -5 (b) -61 (c) 1\/3 (d) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-6)*(8\/(-5))\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-1 + 5)**2*-1.\nAnswer: -217 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1262, -2198, -3112, -4004, -4874?\n\"Answer: 11*g**2 - 969*g - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 411 - 5243?\nAnswer: -4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*u + 18 = -2*q - 89*u, -5*q = -5*u + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6851824900 rounded to the nearest one million?\nAnswer: 6852000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0*v**3 + 0*v - 1\/60*v**5 + 0*v**4 + 0 + 4*v**2. Let t(k) = -k. Let p(y) = -30*y. Let x(o) = p(o) - 12*t(o). What is g(x(s))?\nAnswer: -324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-94)\/(-517) - 27\/(-33). Solve 4*z + 42 - 1 = -5*u, 0 = -4*z + 3*u - q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 22 = -0*n - 4*g, g = -3*n + 3. Suppose 4*r - 7 = 5. Suppose 5*o - r = 2. Sort n, -5, o.\nAnswer: -5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1 + 70\/50. Is f <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-16)\/10)\/((-76)\/95)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u**4 - 164325*u**3\/2 + 106005*u**2 + 280605*u\/2 - 47901 = 0. Calculate u.\nAnswer: -1, 7\/24, 2, 2281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 3. Let u be 1*(-2 + (-3)\/z). Which is greater: u or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -17.16, -0.18 in ascending order.\nAnswer: -17.16, -0.18, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2211 and 1646592.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9332552.\nAnswer: 2, 1166569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2 - 5*s + 2*s**2 - 32*s**3 + 33*s**3 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/14 - -43\/70. Let p = -0.28 + -0.02. Suppose 31 = -5*w + 6. What is the third biggest value in w, j, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7283 + 7283 - 262*g + (-2 + 1 + 3)*(-5*g + 3*g + g))*(-3 + 4 - 2).\nAnswer: 264*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 0*r**3 + r**2 + 1\/24*r**4 + 1 + 0*r. Let w(g) be the second derivative of n(g). Let i(j) = -2*j**2. What is i(w(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*q + 50. Let h be 3\/(-5)*q\/(-24). Sort 2, -1, h in ascending order.\nAnswer: -1, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 15 = -23. Suppose 3*p - 2*s = 28, -2*p - s = -5*p + 23. Let a = 10 - p. Solve 3*d - 32 = -a*k, 5*k = -4*d + 3 + f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -1\/6546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 363, 366, 371, 378, 387, 398, 411?\n\"Answer: z**2 + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/91 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/7, 3, -85\/2, -1, -14.23?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -65*v + 133. Let r be a(2). Factor -33\/4*t**r + 3\/2 + 45\/4*t**2 - 27\/4*t + 9\/4*t**4.\nAnswer: 3*(t - 1)**3*(3*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.66288 to one decimal place.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**5\/7 + 54*g**4\/7 - 5298*g**3\/7 - 156024*g**2\/7 - 169575*g - 148050 = 0.\nAnswer: -35, -15, -14, -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, and 1 j when three letters picked without replacement from {t: 1, h: 1, p: 2, j: 2, d: 2, q: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 912 and 266.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 696983843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272*p**2 + 61*p - 8320*p**2 - 61*p.\nAnswer: -7048*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -4.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 6:07 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -56?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2066*m**2 + 717*m**2 + 409*m**2.\nAnswer: -940*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 4. Let i(d) be the first derivative of 3*d**2\/2 + 4*d + 6. What is -6*i(a) - 5*z(a)?\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1101035*h**5 + 914038*h.\nAnswer: 22020700*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/7, -5, -9, -0.2, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.145178 times -0.09?\nAnswer: 0.01306602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**3 - 5*d**3 + 9*d**3 + (-3*d**2 + 6*d**2 - 2*d**2)*(560*d + 1514*d + 25*d).\nAnswer: 2108*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpsssdrspdosrsid. What is prob of sequence sr?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1050010 divided by -210002\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 109109 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:00 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249*f + 1 + 38 - 251*f to the form v + w*f and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 h when three letters picked without replacement from rnhjkhhrrrnw?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -115, 2, 341, -5, -121 in ascending order.\nAnswer: -121, -115, -5, 1, 2, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**6\/45 + b**5\/5 + 7*b**4\/18 + 273*b. Let n(t) = 0. What is t?\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-920)\/(-16))\/23)\/((-10)\/64)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7120.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -120. What is the smallest common multiple of 9 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12844717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 123.584 and -467540.1?\nAnswer: 467663.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 36*s + 2938. Calculate c(75).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 28*w - 62. Let l be u(-3). Suppose 9*t = 8*t + 15. Put t, 8, l, 4 in descending order.\nAnswer: t, 8, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -35. Suppose -w - 21 - 8 = 4*z, -5*z = -5*w - 20. Let x = w - a. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61747 is divided by 61?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:00 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:50 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from gtggddjjgfjtggjgtj?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22688994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:32 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2687897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) + 17\/5. Let a = v - -3. Suppose -s = -a*s + 2*o + 34, 0 = -2*s - o + 19. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10234 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h + 34. Suppose -r + 4*i = -h, 19 - 2 = 5*r - 3*i. Is r less than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 673, 1333, 1969, 2575, 3145?\n\"Answer: -z**3 - 6*z**2 + 685*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Let y be 3\/(-6) + (-231)\/(-470). Let p = 452\/2115 - y. Which is the biggest value? (a) r (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 4 (b) 2.7 (c) -5 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*3\/36*(-8860)\/(-5759).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -32*c**3 - 3*c**2 + 3*c. Let i(x) be the first derivative of -1505*x**4\/4 - 140*x**3\/3 + 70*x**2 + 6115. Determine -3*i(v) + 140*q(v).\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7216148*l**2 + 7216138*l**2 - 14432366*l**2.\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 6 = 4*m. Suppose 2*p - m - 5 = -5*v, 2*p - 8 = -4*v. Solve 0*l = -p*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91a58 + 1?\nAnswer: 91a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 774.174123823708 and 1.\nAnswer: 775.174123823708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04165? (a) 1\/3 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let w(r) = 7*r - 25. Determine 6*b(p) - w(p).\nAnswer: -p + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - ((13 - 62) + 43)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Suppose 0 = 4*o + 5*c - 32, -10*o + 7*o + 17 = 2*c. Solve h*q + s - o*s + 18 = 0, 5*q = 4*s - 30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1530645*i**2*j - 5*i**2 - 14*i*j + 154*i - 8295 wrt i?\nAnswer: 3061290*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 + 9 = 0. Calculate the remainder when 128 is divided by (r\/(-14))\/(1\/(-49)) + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15648189.\nAnswer: 3, 839, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1204\/(-12) - 4\/6. Let v = x + 154. Suppose 32*a = -4*a + 1008. Calculate the remainder when v is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -3 + 1 - -1. Suppose -6 = -4*z + 2. Sort -1, z, f in increasing order.\nAnswer: -1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z**3)*(-2*z - 9*z**2 + 8*z - 7*z).\nAnswer: -18*z**5 - 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f - 0. Let z = 1 + -4\/3. What is the closest to z in f, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**4*q - 2*p**4 + 8*p**2*q + 47*p**2 wrt p.\nAnswer: -24*p*q - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8259959.0505 - -0.4?\nAnswer: -8259958.6505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*h**3 - 21006*h**2 - 8*h + 9336 = 0. What is h?\nAnswer: -2\/3, 2\/3, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -771745 to the nearest 1000.\nAnswer: -772000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/(-24))\/(2\/12). What is the units digit of (-11)\/k - 3\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19410*w**2 - 1344*w - 6 wrt w.\nAnswer: -38820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 1139313, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67771 or 67770?\nAnswer: 67770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/312 and ((-1)\/(-18))\/((-36)\/459)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 - -86. Let o = c + 34. Suppose 3*r + r - 20 = 0. Solve -o*a + 10 = r*p - p, 5*a - 15 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 814 = 5*i, 0 = 3*i + o + 2*o - 456. Round i to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 115*n**2 + 14 + 36*n**2 - 826*n**2 - 4.\nAnswer: -675*n**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (55\/2)\/(3\/(-6)). Let n = -933\/17 - k. Let j = -4.92 - 0.08. Put n, j, -2\/13 in ascending order.\nAnswer: j, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*n - 29*n - 11*n)*(-2 + 2 - 4 + (-1 + 3 - 1)*(0 + 0 + 1))*(4 - 5 - 2) as x*n + r and give x.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0*k + 12*k**2 + 58*k**3 + 0*k + 22 - 61*k**3.\nAnswer: -3*k**3 + 12*k**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/((-2)\/4). Suppose -g = -2*g + f. What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-18)\/6)\/((-3)\/63). Suppose -t + 0*t + 5*z = 13, -d = -3*t - 5*z. Solve t*s - 5*s = 4*a - 3, -3*a = -4*s - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1626, -3220, -4814?\nAnswer: -6408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c - 28. What is n(0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.020085m in micrometers?\nAnswer: 9020085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31852 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - -0.5. Let y = 1.1 - i. Let u = 1.1 - y. Which is the nearest to -1? (a) u (b) -1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 591165 and 4698?\nAnswer: 3546990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 - 31*p**4 + 3*p + 16?\nAnswer: -20*p**3 - 372*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 110 = -5*j + 23589, -4*x - 4731 = -j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 x when four letters picked without replacement from ffbffffxfffffx.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -280 - -297. What is the remainder when 50 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7462*g**3 - 4558*g**3 - 4009*g**2 + 5490*g**3 - 6593*g**2 wrt g.\nAnswer: 50364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) + 1\/(-3). Let h = 43 - 20. Let k = h + -7. Solve -4*m = 3*x + k, u*x + 2*x + 5 = 3*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37759\/32 - 1183. What is the common denominator of n and -79\/18?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/21)\/(8\/112). Suppose 5*j - 11*f = -9*f + o, j + f - 5 = 0. Suppose -5*q = j*c - 413, -c - 320 = -3*q - q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 8*q**2 + 10*q + 9. What is l(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3797 (base 10) to base 11.\nAnswer: -2942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i + 17. Let c(q) = 58*q + 162. Let h(z) = -c(z) + 4*s(z). What is h(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 equal to 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 32) + (-78 - -86)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418585 divided by -5.\nAnswer: 83717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7429900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -1264*c**2. Let h(w) = -136824*w. What is f(h(z))?\nAnswer: -23663100017664*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111111101001001100 (base 2) in base 3?\nAnswer: 1222012101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 301 in -5, 1.6, 435?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((4*sqrt(864) + sqrt(864))*2 - sqrt(864)))\/((sqrt(3) - sqrt(375)\/sqrt(5) - 3*sqrt(3)*-6)*-5).\nAnswer: 162*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 - -38. Let k = 131 + i. Let h = k + -32. Calculate the highest common divisor of 56 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 2*h - 12. Determine c(-9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 14*q - 15*q + 1023, -4092 = -4*q - 5*t. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 94 = -z + 6*n, 2*z - n - 195 = 0. Suppose 2*p - z = 2*x, -5*p - 7*x + 3*x = -290. Let i = p - 24. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5067813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 7*r + 5*x + 2, -4*x - 8 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1016)\/(-168) - 6)\/((-12)\/(-42)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2 - f**2 + 1 + 4 - 4 - f**2 + (f - 3*f + 3*f)*(2*f + 3 - 3).\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -111, -350, -997, -2256, -4331, -7426, -11745?\n\"Answer: -34*i**3 - i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4900)\/250 - -22)\/((9\/2)\/3).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1097316 - 24?\nAnswer: -1097340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - (-11 + 7 - 11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0, -110 in increasing order.\nAnswer: -110, -29, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 79468c (base 13) to base 7\nAnswer: 33234511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -9. Let l = f - -6. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13600109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*0.8\nAnswer: -1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1487525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3559935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l - 80*l + 1732 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138562974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-21.48.\nAnswer: 85.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*v**3 - 1082*v - 8502 wrt v?\nAnswer: -9*v**2 - 1082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:43 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486847615?\nAnswer: 5, 17, 1973, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*x + 239*x = 28*x + 73878736. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.0921 + 0.62826. Round c to two dps.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 9*l + 9. Let v be q(7). Suppose 3*u + 2*o - 14 = 0, 3*u - 10 = -0*o + 2*o. Put 0, v, u in increasing order.\nAnswer: v, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*f = -104, 0*d + 2*f = -3*d + 151. List the prime factors of d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-672)\/(-24))*6\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12874 is divided by 1608?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1887 + 5577971\/2956. Is b at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1911096 divided by 3?\nAnswer: -637032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 59*q - 159. What are the prime factors of n(4)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*x - 774*x - 156*x as j*x + v and give j.\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -16. Suppose 0 = 7*g - 2*g - j - 55, -28 = -4*g + 4*j. Let l = -6 + g. Calculate the remainder when c is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2 - 1494*o + 14135. Give b(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.0333, 2\/9?\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - (-8)\/(-2))*1. Let l = 3 + g. What is the third derivative of -5*t**2 - t**6 + 6*t**5 - l*t**5 wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17300 and 2900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 4. Let d = 3806 + -3799. What is m(d)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -32*u**2 - 6*u - 27*u**2 + 154*u**3 - 1 + 60*u**2. Let j be c(-3). Let x = -5068 + j. Round x to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*k + 208*k + 72*k)*(0 - 4 + 3) + 3*k - k - k + k - 4*k + 2*k.\nAnswer: -137*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgby when four letters picked without replacement from bkkbokkkgobykk.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55.3 + 55.1. Which is the biggest value? (a) 3 (b) r (c) -4 (d) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-6)\/((-45)\/10 + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/20 and -145\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/18? (a) 2\/15 (b) -1\/13 (c) -0.2 (d) -1 (e) 1 (f) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1df + 11fb32?\nAnswer: 11f953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2393329*d**3 - 3*d**2 + 32593040*d?\nAnswer: -14359974*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 5*b**2 - 5*b - 4. Let t be c(-4). Suppose 5*n + 52 = -0*g + 3*g, g + 2*n - 21 = t. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/75)\/(18\/(-12)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000030849 to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14384 + -14385. Which is the third biggest value? (a) -14 (b) 8 (c) 0.3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -144. Calculate the least common multiple of (-2)\/(l\/46 - -2) and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/1 + (236 - 253).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29662752 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + 0 + sqrt(343) - (sqrt(343)*2*3 - sqrt(343))) + 4)*1 + 0)**2.\nAnswer: -448*sqrt(7) + 5552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-154) + (-846)\/(-55). Let u = h + -15. Find d, given that u*d**3 + 1\/5*d**4 - 1\/5*d**2 + 0 - 1\/5*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 5*x + 3. Let h be (2\/6)\/(2\/12). Let p = -5 + h. What is the units digit of r(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 2*y**3 + 4*y**3 - 18 - y**3.\nAnswer: y**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26487096*c**3 - 8730857*c?\nAnswer: -158922576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/3 + (454 - 5) + 5. Suppose 24*l - 5495 - z = 0. Is l bigger than 249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 18*m - 46. What is the remainder when 112 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-3 + -6 - -6)) + -18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4121 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538113.\nAnswer: 3, 181, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 7*w - 9. Let g be n(3). Let z(v) = v**2 + 3*v - 8. Calculate the lowest common multiple of z(g) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3*531\/6. Suppose 9 = 2*c + a. Which is bigger: c or -26?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -1.3, -2\/15, -1940, -4.1, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, -903, -1358, -1815?\nAnswer: -2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 780.2 and -11.\nAnswer: -8582.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmm. Give prob of sequence cmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3 + 0 + 2)*(905*m - 65*m + 1670*m).\nAnswer: 2510*m**2 - 2510*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 4. Let h be y(3). Let b(x) = x**3 + x - x**2 + 2 + 0*x + h. Let t be b(0). Is 3 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1253031 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 24*d**2 - 41*d + 3. Let m be w(-10). Solve m*j + 65 = -0*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 20 = 5*v, -5*o + 13 = 15*v - 19*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -95bee (base 15) to base 14\nAnswer: -c526b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12829567?\nAnswer: 31, 163, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(2 + sqrt(11)) + sqrt(11)) + 0)**2.\nAnswer: 600*sqrt(11) + 2875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77722350 to the nearest integer?\nAnswer: 8816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 10*r**2 - 23*r - 3. Let a be i(-10). Let x = -234 + a. Let s(g) = -2*g - 8. What is s(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 18 = 5*i, -18*i + 26 = -4*x - 13*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-12 - -27 - 30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = 3*y + 14*z - 12, 4*y = -3*z + 29 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 54*p**2 - 10519*p. Let n(v) = 17*v. Determine n(l(t)).\nAnswer: 918*t**2 - 178823*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0 + 11 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l + 26640 = 38*l. Calculate the remainder when 1005 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l)\/(l*l**(-2\/23))*l**(-14)\/l**(-1\/3) assuming l is positive.\nAnswer: l**(-592\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**3\/6 - 5*v**2\/2 - v. Let f(t) = -1. Let s(m) = c(m) - 6*f(m). What is s(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193210594 to the power of 1\/2, to the nearest integer?\nAnswer: 13900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**2 + 32*w + 153. Determine h(-7).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 22*d = -1288. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 151 + (-4)\/(-4) + 1. Let b be 4 - (22576\/(-18))\/(-8). Let y = q + b. What is the second biggest value in -4, 0.2, -2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**3 - 3*z**2 - 3*z + 3. Let d(u) = -u**3 - u**2 + 1. Let r(k) = -3*d(k) + q(k). Find the second derivative of r(t) wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 19706 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 14*p**2 - 22*p + 17. Determine k(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/805 and 19\/8.\nAnswer: 6440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8036 + -0.3036. Let s = 4.6 + -5. Which is the second smallest value? (a) h (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 7:33 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -306005670 divided by -102001890?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/278, -2\/7, -0.029, 2\/13, 5 in increasing order.\nAnswer: -2\/7, -0.029, -1\/278, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 2. Let a(m) = 3*m - 6. Let d(o) = 2*a(o) + 5*p(o). Calculate d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y**2 - 3*y. Let a be h(2). Suppose 0 = a*k + l - 84, -3*k + 2*l = 2*k - 192. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55898 = -944*m + 16250 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -59. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37b - -3?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*t - 964*r + 962*r, -2*r = -t - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 0.1. Let h = 802\/5 - 3323\/20. Let j = 11\/2 + h. What is the closest to 1 in q, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19784, -19808, -19838, -19880, -19940, -20024?\n\"Answer: -v**3 + 3*v**2 - 26*v - 19760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9557.899 years to millennia.\nAnswer: 9.557899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2437*x - 28 = -3*w + 2439*x, 5*w - 4*x = 48 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -20*n**4 - 755*n**3 - 4380*n**2 + 8505*n + 12150 = 0.\nAnswer: -30, -9, -1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 3*q - 235 + 5*q.\nAnswer: 4*q - 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 10 (b) 2\/15 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67308683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnun when four letters picked without replacement from {w: 3, n: 2, s: 1, u: 3, t: 3, k: 2}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-40)*(-1)\/1*-15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203113320 by 50778330.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 + 185 = 2*s, 39 = c - 3*s. List the prime factors of (-3)\/((-9)\/c - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, l: 1, n: 11}. Give prob of sequence zz.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and -90.7?\nAnswer: 106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(2\/9)\/f)**(1\/51)*f\/((f**4\/f*f)\/f)*f**(-5))**(-1\/2) assuming f is positive.\nAnswer: f**(3211\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 956440463*u**2 - 1206284889*u?\nAnswer: 1912880926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jds when three letters picked without replacement from dsjmdjdd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-27))\/b**6)**(7\/2) assuming b is positive.\nAnswer: b**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -7 (b) -0.4 (c) 1.1 (d) 0.331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 4*i - 3*i)*(-3*i**2 + 2*i**2 - 4*i**2) - 4*i**3 - 19*i**3 + 4*i**3.\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8825319 nanoseconds to milliseconds.\nAnswer: 0.0000008825319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 3*v - 3. Let z be 1\/3 - (0 + 11\/(-3)). Suppose 4*s - z = 5*k - 8*k, -16 = s + 5*k. What is j(s)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -111464061 at most -111464065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 1.1. Let y = -3.5 - m. Which is the nearest to -0.1? (a) -2\/9 (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.53604449.\nAnswer: 2.68022245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ececpebcpbpccvcxvccc. Give prob of picking 2 b.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23817.\nAnswer: 3, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 - 2*b**4)*(b - b + b + (-4 + 4 + 3)*(-3*b - 1 + 1)).\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 49. Let r be (-2)\/8*n\/(78\/(-120)). Solve 6 = -r*v - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*-1*sqrt(90) - sqrt(90) - sqrt(90)) + sqrt(90))*6)\/((sqrt(30)\/sqrt(3)*-1)\/sqrt(5)).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 3483647\/167 and 20860 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 228 times -313021\nAnswer: -71368788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 81121791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 202764. Let z(o) = 4*o**2. Give j(z(g)).\nAnswer: 32*g**4 + 202764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105\/(-21)*13\/(-5). Let f(s) = s**2 - 13*s + 19. Let i be f(h). Suppose i = 2*v - 131. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/896903?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 1 + -5 + (sqrt(17)*-2 + sqrt(17))**2 + 1 + sqrt(1700) + ((sqrt(1700)*-1 - sqrt(1700)) + sqrt(1700))**2).\nAnswer: -5142 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 10230 and 0.1.\nAnswer: 10230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17526.267 nanoseconds in days?\nAnswer: 0.0000000002028503125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 43*k + 18 + 2 + 47*k - 140*k.\nAnswer: -38*k + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 3*g**2 + 15*g - 3. Let j(l) = l**2 - 1. Give 3*j(z) - s(z).\nAnswer: -z**3 - 15*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 146 = 2*r, -r + 6*r = -4*d - 371. Let a = -30 - r. Let v = -20 + a. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12893607931348 + -0.2.\nAnswer: -12893607931348.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 401186, 401184, 401182, 401180?\n\"Answer: -2*c + 401188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2271918565.\nAnswer: 5, 7, 1613, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a + 6. Suppose 0 = 4*t + 3*g - 2, 12*g = t + 14*g - 3. Let z(r) = -1. What is t*q(u) - 3*z(u)?\nAnswer: -3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 619, 613, 603, 589?\n\"Answer: -2*y**2 + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*f + 4*a, 0 = 5*f - f + a - 13. Suppose 8*n - f*n = 185. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/10)\/(1\/(-3)). Let d = -9819 - -9821. Which is the third smallest value? (a) i (b) -1\/419 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.584566 years in millennia?\nAnswer: 0.003584566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8) + 7 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 70, 3, 26 in decreasing order.\nAnswer: 70, 26, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16 - -8 - -10 - 2\/5 and 36\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**1)**(-28))**(-39\/2))**(-7) assuming d is positive.\nAnswer: d**(-3822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**1*m)\/m*m*m\/m**11*m*(m**(-1))**(-1) assuming m is positive.\nAnswer: m**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15123, -15079, -15035?\n\"Answer: 44*n - 15167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.36 (b) -0.1 (c) 3\/37 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(2 - 2 + x**2) + x**2 - 2*x**2 + 2*x**2 + (-14*x + 52*x - 178*x)*(0*x + 0*x + 2*x + (13 - 13 + 11*x)*(2 + 3 - 7)).\nAnswer: 2803*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 44 - 44 = 0. Solve q = 2*o - 5*v - 10, 0*v - 25 = -5*o + 4*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 10) to base 2\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 9 = 33. Let f(j) = 12*j - 4. Let b be f(3). Suppose b = -2*d + 6*d. What is the lowest common multiple of s and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 46 + 31 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232431 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(200) + 0 + -2) + 3.\nAnswer: -1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:46 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-13)*h*h)\/h)**(-5\/4)\/((h*h**2)\/(h**(5\/13)\/h)) assuming h is positive.\nAnswer: h**(148\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -15565\/7 greater than -2223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-5)\/6)\/5)\/3. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 19. Let n(a) = 6*a - 39. Determine -5*n(b) + 9*p(b).\nAnswer: -3*b + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 6*v**2 + v. Determine d(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.8628685.\nAnswer: -4.3143425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 0.08.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1446 and -13006\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1350.31 + 1339. Round q to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -2*l**5\/15 + l**4\/8 + l**3 + 5*l. Let w(p) be the second derivative of t(p). Is w(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**4 - 97052*r**3 - 5132304*r**2 + 5229360*r = 0. What is r?\nAnswer: -24210, -54, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 51612*s - 2 + 51620*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y + 9 = 0. What is the second derivative of -3*n**3 - 3*n**3 + 3*n + 7*n**y - 2*n wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.198 - -0.098. Let s = m + 69. Let h = -14.7 + 13.1. Which is the closest to 0.1? (a) s (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/171653570 and 23\/1777770?\nAnswer: 1544882130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*i**3 - i**2 - 51*i**3 - 884*i + 623*i wrt i?\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 4 - 4)*(-1 + 1 + 2*x**2) + (3 - 3 - x**2)*(-500 - 497 + 994 + 115*x) + (-2 + 2 + 2*x)*(-2*x**2 + 3*x**2 + 0*x**2).\nAnswer: -109*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - a + 5 = 0, 3*s + 2*a - 37 + 22 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 2:30 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/14 and -29\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.04 + -0.04. Let v = 0.08 - -2.22. Let p = v + -0.3. Which is the closest to 1\/4? (a) p (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 2923050\/(-260)*4\/(-15)?\nAnswer: 23984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 1190.\nAnswer: 96390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**2 - 534*j**5 - 6*j**5 - 2503 + 1253 + 1250 + 85*j wrt j?\nAnswer: -32400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1780.8 - 1771. Put 1, 0.3, g in decreasing order.\nAnswer: g, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 1. Let n = o - -3.7. What is the closest to 1 in n, -0.1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -25*p + 7*p + 8*p + 8*p. Let u(x) = 18*x. Calculate z(u(o)).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 278 (b) 10 (c) 3\/5 (d) -0.5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 64*c - 69*c + 455, 5*j - 201 = -2*c. Calculate the greatest common factor of 208 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1813832?\nAnswer: -1\/906916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.028, -5\/7, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than -3\/6152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g*v**3 + 33*g*v**2 - 41*g - 349*v**3 wrt v?\nAnswer: 12*g - 2094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298024*j**3 - 298085*j**3 - 3*j + 3*j.\nAnswer: -61*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3331 is divided by 3329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 2. Let a be (-12 - -7 - -7) + 2. Let b(w) = w**3 + 4*w**2 + 2*w + 3. Let y be b(-3). Suppose z + 5*l = 9, -a*l - y = 2*z - 2*l. Give x(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1146297, 2292662, 3439025, 4585386, 5731745, 6878102?\n\"Answer: -x**2 + 1146368*x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-5) + 2 + 392\/5 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*h - 19. Let t(n) = -n**3 - 3*n**2 - 12*n - 15. Let f be t(-2). Find the second derivative of f*l + h*l**2 - 9*l + 3*l**2 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6272282\/5 or 1254456?\nAnswer: 6272282\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2440*v**3 - 6746 + 653*v**2 - 1205*v**3 - 1232*v**3 wrt v.\nAnswer: 9*v**2 + 1306*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71668907*i*j*x**2 - 3*i*x**2 - 3933530*j*x**2 + 23*j wrt i.\nAnswer: 71668907*j*x**2 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 2*x**3 - 2*x + (6 - 6 - 14)*(15*x**3 + 9 - 9).\nAnswer: -208*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/(-2600))\/((-101)\/(-25))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-24))\/(283900\/476952)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 7) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 14926248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 180*d**3*q - 97*d**3 wrt q.\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39467*p**3 + 39468*p**3 + 26*p - 5*p.\nAnswer: p**3 + 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*l + 8, 0 = -5*o + 4*l + 87 - 17. Calculate the greatest common divisor of 27 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -55033, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*n + 39, -4*n + 13 = -3*n - 2*w. Solve 2*y - n = -3*o, o + y - 2 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*c**3 - 1005*c**3 + 488*c**3 + 258*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*b + 141*b = -28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48844692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 11*p + 14*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/208 - 116\/(-754). Which is the nearest to l? (a) 2\/9 (b) -1\/3 (c) 35 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8405 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 + 15 = -5*g. Suppose -3*m = -3*y + 24, -4*y + 11 = -m + 4*m. Solve y*z - g = -0*z, i - 3 = -z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*o + 21 = 0, -38317*o + 38315*o - 8 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*g + 26 = 0, 7*c - 9*c - 2*g - 8 = 0. Let f = 7 - 5. Let s(o) = 5 + 3*o**f - o**2 - o - 4. What is s(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000290226513 to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1905129 is divided by 952558.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 1132 - 108 = 0. Let h = y - -170. What is the remainder when 57 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25314 is divided by 4218.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (364\/21)\/(2\/6). Suppose 3*a + 26 = 4*v - 15, -4*a = -5*v + r. Let y(n) = n**2 - 6*n + 11. Let f be y(v). What is the greatest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0.5, 1\/10.\nAnswer: -4, -3, 1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20758, -20877, -20982, -21067, -21126?\n\"Answer: n**3 + n**2 - 129*n - 20631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30 and -0.76.\nAnswer: -30.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 8:50 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(18\/(-8)) + 0. Let v = -2 + 0. Which is smaller: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -359*r**3 + 23722*r**2 - 1848*r - 2. Determine z(66).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3. Let v(k) = k**3. Let f = 120 + -121. Give f*w(a) + 2*v(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67652 divided by -86?\nAnswer: -33826\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*h - 18. Let i(t) = -2*t**2 - 3*t. Calculate i(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259761 = -7594*o - 317383 for o.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 16 = 5*b, 3*b + 2*b - 80 = -5*f. Suppose 4*y - 12 = -2*g, -2*g + 21 = 2*y - y. Let l(q) = -g + f + 6*q. Let p(s) = -2*s. Give p(l(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**(2\/5)\/(x*((x**9\/x)\/x)\/x*x*x**(-1\/2)) assuming x is positive.\nAnswer: x**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27a24 - -19?\nAnswer: 27a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 73760, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*q - 14. Suppose q*t - 3*r + 8 = -10, 0 = -3*t + 2*r - 19. Let m be (-8)\/(1 - -3) - t. Sort m, 3, -3, -4.\nAnswer: -4, -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 68, 136, 262, 464, 760, 1168, 1706?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 5 + 5)*(3 - 5 + 3) - 2*s + s - s + (-4*s - 2*s - 4*s)*(3 + 2 - 6).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*3)\/(sqrt(125) + (-3*sqrt(125) - sqrt(125)) - sqrt(125)).\nAnswer: -9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 19*f - 2*d + 88, 87 = 5*f + 3*d. What is the least common multiple of 11 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, a: 3, d: 8, q: 2}. What is prob of sequence qvq?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 255 - 3?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-74)\/(-14) - 6\/21. Let r(k) = -4*k + 3. Give r(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161678 is divided by 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.6 + 4.4. Let k = 42 - y. Which is greater: -7\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = 0, 4*u + 1052 - 1044 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3024\/84 + 66\/(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 2 r when four letters picked without replacement from {w: 3, c: 3, r: 12}.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**2 + t. Let v be i(-1). Let d = -43 + 46. Suppose -3*o = -6*m + 4*m + v, m = -d*o - 18. Put 1, 4, o in increasing order.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26495566.\nAnswer: 2, 2591, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 (base 8) in base 15?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*g + 6736 - 808 = -156*g - 233*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -500317, -1000634, -1500951, -2001268?\n\"Answer: -500317*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23960 - -1404?\nAnswer: -22556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**2 - 14*w - 49. What is g(-5)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*d**2 + 22 - 56 + 103*d**2.\nAnswer: 6*d**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + -0.41. Suppose 0 = -3*y - 4*s, 0*s = 5*y + 3*s + 11. What is the second smallest value in 0.1, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(3*k**4 - 6*k**4 - 2*k**4) + (2*k + k - 4*k)*(2*k**3 + 0*k - k**3 + 4*k) to o*k**4 + s + w*k + z*k**2 + u*k**3 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = -6. Let v(n) = -n**3 - 9*n**2 + 9*n - 4. Let h be v(-10). Suppose a - h = -2*a. Solve -20 = t*m + a*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 224 + 81 = 0. What is the lowest common multiple of -2 + (-322)\/(-77) - (-96)\/(-528) and f?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5)**(-1\/5)*z*z**(-18)*(z\/(z*z**(2\/13)))\/z)**(-1) assuming z is positive.\nAnswer: z**(249\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 35*l - 25*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -505343 divided by -13\nAnswer: 505343\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 + -176.6. Sort 1, b, 5.\nAnswer: 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-27)*1\/(-2). Let b = 13 - 10. Put u, b, -2\/9 in decreasing order.\nAnswer: b, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*o**2 + 0 - 3\/2*o.\nAnswer: -3*o*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8029 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.561 and -2.84.\nAnswer: -2.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 16) to base 7\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l + 150. Let n be k(21). Suppose 7*w - 3*w + m = 13, n = -w + m. Solve 4*q = w*q, -d = 2*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(378\/(-39)) - (-5)\/(-30). Which is the nearest to -2\/13? (a) 1\/2 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 875394 divided by 559.\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 2*i - 2*i + (-19 + 1 + 41)*(-i + i - 2*i**2).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43.6 + -51. Let r = n - -8.1. Which is the closest to r? (a) -1 (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*x**6 + 0*x**6 + 3*x**2 + 35*x**6 - 2*x**2 wrt x?\nAnswer: 2040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20001121 - -21220?\nAnswer: -12202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/8 + 897*s\/4 + 5409\/8.\nAnswer: -3*(s - 601)*(s + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 434321\/30 - 144767\/10. Let -130*k**2 - w*k**3 - 8450*k - 549250\/3 = 0. Calculate k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 71. Let k(p) be the third derivative of -5*p**4\/24 - 11*p**3\/6 + p**2. List the prime factors of k(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 7 = 5*l, -4*q + 6 = -5*l - 7. Let n be (q + -3)*((-18)\/8 - -2). What is the fourth smallest value in -3, n, -2\/9, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + 138. Let h be 12*(-5)\/b + (-6)\/33. Sort 29, h, 3, 0.3.\nAnswer: h, 0.3, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333506551?\nAnswer: 7, 149, 319757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1247, 5526, 12655, 22634, 35463?\n\"Answer: 1425*r**2 + 4*r - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002201102 (base 3) to base 5.\nAnswer: 1143130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 10*n + 15*n + 2*n - 24. What is the remainder when 97 is divided by r(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q*s**3 - 97*q*s**2 + 2*s**6 - 7*s**5 wrt s.\nAnswer: -30*q + 240*s**3 - 420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8737395 and 18610.\nAnswer: 17474790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 = -2*r, -5*r - 10 = -3*c. List the prime factors of ((-96)\/15)\/(1\/c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 76*n - 8*n + 5*n**2 - 3*n**2 - 68*n. Let c(l) = -l - 1034. Calculate c(t(g)).\nAnswer: -2*g**2 - 1034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 + 150. Let h(w) = w**2. Let r(q) = 164*q**3 + 182*q**2. Let c(a) = f*r(a) + 10*h(a). What is the third derivative of c(o) wrt o?\nAnswer: -984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.029 + 4.971. Let u = -70.828 - 0.172. Let f = u - -70.9. Which is the third smallest value? (a) f (b) w (c) -0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -32) + (7 - 0) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 - u**2 + 2*u**2. Let h(m) = -3*m**2 + 5 + 5*m**2 - 2 - 3*m**2. Let v(o) = -2. Let n(w) = 2*h(w) + 3*v(w). What is n(x(r))?\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-41)\/(-82)*(-2 + 1 + 7). Let s(n) = n**b - 5*n + 4*n + 2*n**2 + 6 - 5*n**2 + 8*n**2 - 12*n. Determine s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 19, 89, 231, 469, 827, 1329, 1999?\nAnswer: 2861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102*q**2 + 1\/3*q**3 - 96100\/3 + 7595*q.\nAnswer: (q - 4)*(q + 155)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a**2 + 4. Let o(g) = 7*g**2 - 2. Let d(m) = 5*o(m) + 2*y(m). Let w be d(1). Sort -1, w, -4, 4 in decreasing order.\nAnswer: 4, w, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:52 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4403, 4057, 3715, 3377, 3043, 2713?\nAnswer: 2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 20223400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -6*(-2 + sqrt(275) + 1 - (sqrt(275) + -1*sqrt(275)*1 + sqrt(275))) + 4)*6)**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123927268 by -4.\nAnswer: -30981817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 - 6*m - 7. Let l(j) = -j**3 + 3*j**2 + 6*j - 2. Let p be l(4). What is x(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 144 + 197 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6603656227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 2, u: 2, s: 4}. What is prob of sequence ys?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y**(-14))\/(y**(1\/2))**39 assuming y is positive.\nAnswer: y**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546216, -1092431, -1638646?\nAnswer: -2184861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - m + 2)*((5 - 4 + 0)*(69 - 141 + 192) - 5 + 2 + 4) in the form y + f*m and give f.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/5, 5\/2538?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32377606, -32377600, -32377594, -32377588, -32377582, -32377576?\n\"Answer: 6*o - 32377612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 529*i + 2678. Let j be d(-5). Let b(k) be the third derivative of -j*k**2 + 0*k + 7\/6*k**3 - 1\/24*k**4 + 0. Determine b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 8*x**2 + 10*x - 6. Let p be i(9). What is the units digit of (1*38)\/(p\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1) - (-39)\/3. Let i be (-6)\/45 - (-12)\/90. Suppose -408 = -5*u - i*r - 3*r, -5*u = 5*r - 400. Calculate the greatest common factor of u and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 + 62. Let w be 3\/l*(8 - -4). Solve -5*g + 3*g = 4*x - 6, -w*x - 9 = -g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3452772*n**3 - 2998155*n**2.\nAnswer: 20716632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/264*(264\/(-152))\/11\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399719154?\nAnswer: 2, 3, 313, 212843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409 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: Solve 0 = 16*a + 114 + 46 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2163 * -3.\nAnswer: -6489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -392 + 374. What is the hundreds digit of (-4)\/p - 21024\/(-162)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/20 + 0)*((-29)\/2 + -11 + 27).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -36*y + 2176. What is the remainder when 246 is divided by w(56)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41980, 41979, 41978, 41977?\nAnswer: 41976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g + 6113*g**2 - 2977*g**2 + 8*g - 3011*g**2 - 1196*g**5 wrt g.\nAnswer: -71760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4 - h**3 + 10*h**2 - 34*h**2 + 30*h + 11*h**2. Let f be z(-15). Let n(g) = -g**3 + 4*g**2 - g + 2. Give n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9*4\/12)\/(-1). Sort -5, 2, -6, s.\nAnswer: -6, -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4242248 plus 2522465?\nAnswer: 2522467.4242248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(99)*4)\/(sqrt(108)\/sqrt(48)*5).\nAnswer: 72*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.66 - -13.51. What is the smallest value in 2\/9, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 + 27*g - 82. Let x be p(5). Solve -2*k = -2*y - 8, x*y + 0*y = -5*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 - 94*c + 410. Determine i(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/25, 2\/19, 0.03, 4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*l + 6408 = -19*l - 7894 + 1162 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 35 = 8*v. Put 0, v, -5, -3 in descending order.\nAnswer: v, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -27. Find the common denominator of ((-34)\/(-4))\/(8\/10) and (-114)\/216 - (-4)\/y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {q: 9, h: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.165 + -0.289. Let s = -10.876 + i. Put s, 3, -2\/11 in descending order.\nAnswer: 3, -2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - (-4 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-175)\/70 - (-33682)\/4. Suppose 14*n - i = 8004. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 1, 6, 8, -1\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -3, -2 in descending order.\nAnswer: 2, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/4 in -18\/7, -0.15, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*y. Let k = y - -2. Let v be -3 - 0 - (18 - 25). Solve -v*r + 30 = -4*a + 2, 5*a = k*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649870 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siss when four letters picked without replacement from iisswiksisixrxs?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 20*q + 32. What is the remainder when s(-14) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487040 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/3739 or -1?\nAnswer: -23\/3739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/3, -1, 1\/2, -0.387?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**3 - x**2 - 708*x + 2151. Give s(3).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*m**3 + 0 + 0*m**2 - 4\/9*m.\nAnswer: m*(m - 2)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57a2 (base 13) in base 2?\nAnswer: 11000000001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.4. Let b = g + -1. Let m = 63464 + -63464.14. Which is bigger: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/3, -1\/31, -1, -4\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 427*b**5\/60 + 143*b**4\/6 + 16*b**2 + b. What is the second derivative of g(m) wrt m?\nAnswer: 854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 2)*(4 - 4 + 2*p**2) + (-p - p + 0*p)*(2*p - p + 0*p))*(-36*p - 32*p + 53*p).\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215424 and 1008?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(2) - sqrt(2)) + 2 + (-1 + sqrt(18) - (sqrt(2) + sqrt(128)*2)**2).\nAnswer: -579 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001422270164 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452973.\nAnswer: 3, 73, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnqkjwnw. What is prob of picking 1 n and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 448\/(-40) + (-10)\/(-25)*(-33)\/(-66)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + g + 1. Let k(a) = -4*a**2 + a + 3. Let u(p) = -p**2 - 18*p - 35. Let j be (16\/6 - 2) + 100\/(-6). Let x be u(j). Calculate x*n(f) + k(f).\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 23. Let y = -177 + 264. Calculate the remainder when y is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2\/7)*191840\/604296?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0 + 3\/20*c**5 + 0*c**4 + 0*c**3 + 1\/2*c**2 + 2*c. What is the first derivative of n(f) wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 3. Let p be o(2). Let y(j) = 2*j**2 + 31*j + 56. Let i be y(-2). Solve l + 2*g + 4 = 0, 4 = 2*l + p*g - i*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 70. Calculate the lowest common multiple of (24 - 2)\/2 + 0 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 1. Let h(o) = -o**2 - 8*o. Suppose 0 = 3*w + 5 + 19. Let r be h(w). Let z(n) = 0*n**2 + r*n**2 + 3*n**3 - n**3 - 3. Give 3*f(l) + z(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 473941?\nAnswer: 189576.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 2*z + 1. Let m(i) = -7*i**3 + i**2 + 4*i + 4. Let s be m(-2). Suppose 9*d + s = 164. Let b = d - 8. Give j(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 + s**4\/6 - s**2\/2 - s. Let b be (2\/(-12))\/((-132)\/792). Give l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/120 + 2*k**5\/15 - k**4\/12 - 2*k**3 + k**2. Let u be v(-8). Factor -l**3 - 6*l**2 + l**3 + 2*l**u + 2 + 2*l**2.\nAnswer: 2*(l - 1)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrstrtstsrtsrsrtts. Give prob of sequence rrt.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 357 = 36*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffff. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41211 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + k = j - 221, -4*k = j - 68. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x + 0*x**4 - 1\/504*x**8 + 0*x**3 + 0 + 58*x**2 - 1\/15*x**6 - 13\/315*x**7 + 0*x**5. Solve q(a) = 0 for a.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**3 - 5*g**2 + 2*g - 4. Let o(s) = -45*s**3 - 26*s**2 + 11*s - 22. Calculate -4*o(b) + 22*u(b).\nAnswer: -18*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p + 0*p**2 - p**2 - 7 + 26. Let r = 501 - 492. Let t be n(r). What is the highest common divisor of 10 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/15)\/j*j**(-3\/17)*j assuming j is positive.\nAnswer: j**(-79\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 176*j = -173*j + 11, 0 = -4*u + j - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156191.\nAnswer: 7, 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5 = -13*j, -5*h + 2*j + 5 = -26 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/9 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/26 - 102\/13. Let v = n - -127\/18. Let l be (-8)\/16*(-4)\/2. Is v <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(2 + 2 + -2). Let o(q) = 2*q - 7. Let u(n) = -3*n + 6. Let p(y) = w*o(y) - 3*u(y). Let k(m) = m**2. Determine k(p(f)).\nAnswer: f**2 + 20*f + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1283 + 33973?\nAnswer: 34c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 10, -2*z - l = -2*l - 24. Suppose z*c - 2307 = 1466. Suppose 0 = -7*j + c + 378. List the prime factors of j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5434*o = 5391*o + 559 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -2\/15 (c) 1 (d) -5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291728957 to the power of 1\/3, to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 13 = 3. Suppose -3*m = -5*n - 474, -u*m - n + 676 + 86 = 0. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102856 and 17342?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**2 + 1. Let a(j) = -j**2 + 1530 - 1530 + 4*j**2. Give u(a(z)).\nAnswer: 117*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 5*r - 4*r)*(0 + r**3 + 0)*((-5*r + 5*r - 10*r)*(-1 + 0 + 2) - 26 - 6*r + 26).\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1257069, 2514497, 3771925, 5029353, 6286781, 7544209?\nAnswer: 8801637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeemee. Give prob of sequence eee.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/23 - -307\/184. What is the common denominator of g and 85\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 34 = 5*q, -5*q + 28 = -q - 2*u. What is the remainder when 14 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*22.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 times 20.7233?\nAnswer: 7128.8152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13952\/9 + 1553. Let r = -23\/9 + w. Let l = -2 - 3. What is the third biggest value in 2\/5, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g + 11425. Let w(l) = 20*l. Calculate b(w(h)).\nAnswer: 40*h + 11425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let w(d) = -323*d**2 - 11*d + 1. Give w(v(l)).\nAnswer: -323*l**4 + 11*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l + 14. What is the remainder when 53 is divided by b(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 4:32 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*q**4 + 464*q**3 - 1930*q**2 + 2344*q - 584 = 0. Calculate q.\nAnswer: 1\/3, 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 11 = -1, -156 = -4*a - 5*p. Let v be (33\/a)\/((-6)\/4)*-4. Is (0 - (-5)\/v)*(-398952)\/(-180) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -2 (c) 0.2 (d) -194211\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1297 = -38*w - 850 + 1501 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -2249.61\nAnswer: -899.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33601 (base 10) to base 5.\nAnswer: -2033401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**4\/12 - f**3 - 5*f**2. Let c(s) = -4*s - 11. Let u be (-123)\/(-11) - 2\/11. Give u*i(p) - 6*c(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -6642\nAnswer: 53136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108))\/sqrt(6) + -4)**2.\nAnswer: 24*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.05 (c) 5 (d) 3\/4 (e) -910\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4018*m = -62029 + 106572 + 124213 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 2:33 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 87 = 3*y + 68, 0 = 5*s + 5*y + 755. Let b = s + 451\/3. Let 2\/3*t - 4\/3*t**2 - 2\/3*t**3 + b = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + q - 0 - 6, 3 = -a + 3*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10217 is divided by 9762?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0)\/(5 + -4). Suppose 0 = -3*z - d*h - h + 8, 3*h = -3*z + 12. Find the third derivative of -16*y**2 - 8*y**6 + 34*y**z - 9*y**6 wrt y.\nAnswer: -2040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c204 (base 16) in base 11?\nAnswer: 34353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 1. Let n be y(-1). Suppose -10*p = -n*p - 1650. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 47664805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 48*j**2 - 11001*j + 2084. Determine d(229).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*t - 34 = 0, -3*f = -f + t + 1. Let y be (-5 + 2 - f)\/(-2). Solve y = 4*b + 4*z + 8, b - 4 = -0*z - 3*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*k**4 - 2*k**3 - 287*k**2.\nAnswer: -888*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 - 26 - 0 - (503 - 506)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 410 + -366. Let i(x) = -x - 55. Let z be i(0). Let q be (4\/(-2) - 0)*z. Calculate the highest common divisor of q and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = -2*p, 3*p + p + 3*r + 25 = 0. Let x(q) = -q**2 - 3*q - 1. Let c be x(p). Let t(y) = y**2 + 5*y + 2. Is t(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.073325nm in centimeters?\nAnswer: 0.0000006073325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-89)\/4)\/(1\/(-20)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 13*m - 16. Let f be c(-7). What is the derivative of -8*u - 27 + 2*u + f wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1999724 is divided by 399944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 112 = -104. Suppose -4*y + o = 18. What is the lowest common multiple of y and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(5\/((-60)\/(-9))). Find the third derivative of 5*l**2 - l**4 - u*l**2 - l**4 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*h**2 - 11*h**2 + 19*h**2)*(4*h - 3*h + h) + (5*h**2 - 16 + 16)*(-3*h + h + 0*h).\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 12*n - 18 + (3 - 3 + 1)*(1 - 1 + 2*n) + (-n + n + 2*n)*(2 - 2 + 2).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.4. Let t(z) = 3*z**2 + 34*z - 77. Let m be t(2). Which is the closest to n? (a) m (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -226918*t. Let l(d) = 33*d**2. Calculate h(l(m)).\nAnswer: -7488294*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c + 2*c - 26*c + 5*c + 147*c**2.\nAnswer: 147*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5643028 is divided by 685.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 1 + 8. Suppose 10 = i - w*l, l - 3 = -i - 1. Let g(n) = 3*n - 4*n**3 + 4 - 3 - n**2 - i*n. Calculate g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -758 + 757.6. Sort 0.4, 3, x, -2\/21.\nAnswer: x, -2\/21, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * -117.\nAnswer: -5967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -0.5 (b) -2190 (c) 1\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 18881376.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 7 in ascending order.\nAnswer: 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + j + 5 = 0, l + 34*j - 5 = 32*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 4)\/((-12)\/3)*-4. Suppose f*s - 690 = -7*p + 6*p, -5*p = s - 354. What is the highest common divisor of 16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -5, 2.75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -688, -1545, -2746?\nAnswer: -4291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 <= -655925\/6162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.020872 from -8061241.26.\nAnswer: -8061241.239128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 49. Suppose 0 = -5*g - x*s - 145, 70 = -4*g + 2*g + 4*s. Let u = g - -100. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 476 + -479. Let i = 100 - 98. Let w = 0 + 0. Sort 1, f, w, i in increasing order.\nAnswer: f, w, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - 0. Let u = y - -8. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1)\/(-2) + -14 + -2. Suppose 4*h + 3*q = 143, h - 6*h = 4*q - 180. Let g = h + y. Calculate the remainder when 58 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 6*c = -30, 605*c = 2*m + 604*c + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 10*j + 10. What is d(-12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/6 + 11*c**2\/3 = 0?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 448 = 3*y + 2*f, y + 4*f + 98 = 0. Let w = y - -119. Solve 2 = -w*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3369273896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -71*l**2 + 19*l + 1. Let x(r) = 145*r**2 - 41*r - 2. What is 17*g(v) + 8*x(v)?\nAnswer: -47*v**2 - 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 407\/22 + 1\/(-2)*1?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/15 - (-22)\/10. Let c be (d - 5) + (-10303)\/(-40). Let o = c + -1301\/5. Find the common denominator of -15\/22 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 = -x, 2*l - 358004 = -2*x. Suppose -3*f + 2*f + l = 0. Round f to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00068704 rounded to five dps?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1010001100 (base 2) to base 15\nAnswer: 2d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 1 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 223?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -31. Suppose 9*n - 799 = -8*n. What is the remainder when n is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k, -3*u - 3*k + 504101 - 80624 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 11. Let r = 18 - h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2521, -2520, -2519, -2518, -2517?\n\"Answer: a - 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 596\/(-12) - 8\/(-12). Calculate the common denominator of -41\/5 and 70\/s*(1 - 36).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*i + 209*i - 780148. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 109*c**7\/210 - 7*c**4\/8 - 45*c**2. Find the second derivative of r(k) wrt k.\nAnswer: 1308*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 4 - (-80)\/32. Let j be 22\/6 - (-3)\/54*-12. Which is the third smallest value? (a) 0 (b) j (c) 56 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1*2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/9 + 7*t**4\/9 + 4*t**3\/9 - 4*t**2\/3 = 0. Calculate t.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.8 + -18.3. Which is the nearest to 0.1? (a) j (b) -4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l + 7*l - 29512 = 0. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/275296 and 55\/512?\nAnswer: 4404736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(99)\/(sqrt(9)*2) - (0 + sqrt(11)*-2)*6)**2.\nAnswer: -125*sqrt(11) + 6975\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 9:39 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*(-530)\/(-265)*-3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -13\/2. Let p = -6.5 - 0.5. Let d = p + 6.7. Sort -2, z, d.\nAnswer: -2, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 3, l: 2, a: 2}. Give prob of sequence ww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 8*w**2 - 11*w - 8. Let o be p(-9). Let x(h) = -h**3 + 11*h**2 - 9*h - 8. Let v be x(o). Sort -3, 4, v in decreasing order.\nAnswer: 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)*x**(-9))\/((x*x**(1\/7))\/x**29) assuming x is positive.\nAnswer: x**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -88.6 times 1\nAnswer: -88.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2519072, 2519069, 2519066?\n\"Answer: -3*c + 2519075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*107616\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106\/3*t - 1\/3*t**4 + 211\/3*t**2 + 104\/3*t**3 + 0.\nAnswer: -t*(t - 106)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154*a**3 - 97*a + 49*a + 45*a wrt a?\nAnswer: 924*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1953395 years to months.\nAnswer: 2.344074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 867 - 867 + 5*t. Let l(w) = 20*w**2. Give l(a(i)).\nAnswer: 500*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 13*a**2 + 12*a - 9. Let k(f) = -f - 5. Let o be k(9). List the prime factors of m(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 - (-393)\/(-315). Let q = m + -2801\/420. Calculate the common denominator of q and ((-29)\/(-15))\/(4\/(-3)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 68, 102, 160, 248, 372, 538, 752?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0*i + i - 2*i - 3*i. Let n = -6 + 4. What is the units digit of z(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -1\/20*h**4 + 1\/5*h**3 - 1\/5*h**2 + 0*h + 6. Determine f, given that q(f) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5127 take away -4?\nAnswer: 5131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -65*a**3\/3 - 55*a**2 + 84*a. Differentiate o(p) with respect to p.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1354, -2390, -3426?\nAnswer: -4462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1364\/(-231) + (-27)\/18*14\/(-63)*4?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -12212?\nAnswer: -12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let c(h) = 440 - 440 + 11*h**2. Give c(j(a)).\nAnswer: 44*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22033*l - 8*l**3 - 22033*l + 4*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 66 + 72 = -5*q, 2*m - 3*q = 68. Suppose -2*j + 232 = 2*j. Let t = j - m. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8575 - -8576. Put 6, k, -8, -0.4, -4\/3 in decreasing order.\nAnswer: 6, k, -0.4, -4\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5059.7 - 5060. Let x be 0 + (4 - 75\/20). Which is the smallest value? (a) p (b) x (c) -2\/9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 1, -20\/23, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-152) - (-192)\/3648.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 1\/118, 31, 27.\nAnswer: 1\/118, 0.8, 27, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40720*k**2*t**2 - k**2*t + 2*k*t**2 - 2468*k - 11*t**2 wrt k?\nAnswer: 81440*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/100 or 0?\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 7 = 13. What is the nearest to i in 2\/11, -4, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609711*s - 609711*s + 80*s**2.\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/32)*d*d*d*d**(14\/11))\/(d*d**3)**(28\/5) assuming d is positive.\nAnswer: d**(-32069\/1760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/(2\/(-30)). Suppose 0 = -p*j + l + l + 140, 28 = j - 2*l. Suppose -i - j = -3*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 12 = -3*a, -5*a - 5 = -3*m - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 6) to base 16\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -35*b + 310. Give s(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 36 = 2*b, 2*z + 126 - 124 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 5\/12, -3?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1310 and 1530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55625 or 55635?\nAnswer: 55625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**3 + 2*n**2 - 2*n + 2. Let p(q) = 19*q**3 + 7*q**2 - 7*q + 7. Give 14*j(t) - 4*p(t).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -509 - -79?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -352 + 355. Solve l = 3*j - 11, -q*j + 0*l + 1 = 4*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(1\/2 + -1). Let a(g) be the third derivative of -g**4\/24 + g**3\/2 + 10*g**2. Is 6 a factor of a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 1\/8*i**4 + 0 + 1\/20*i**5 + 0*i + 3*i**2 + 0*i**3. Suppose 3*n = 12, -s - s + 2*n = 12. Determine j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejw when three letters picked without replacement from {w: 4, q: 2, j: 2, e: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*s + 75*s**2 - 31*s - 21*s - 30*s - 28*s to the form d + a*s**2 + h*s and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*g = -35, 14*u - 12*u = -8*g - 78 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 - 4718*l**2 - 28416*l - 42678 = 0. Calculate l.\nAnswer: -3, 2371\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 1. Let t(i) = 7*i - 7. Suppose -n - 2*m = 20, -2*m = -3*n - 77 + 1. Calculate n*d(u) - 3*t(u).\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41124 divided by 2\nAnswer: 20562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*q - 55. Suppose -1 = -2*p + 7. Suppose q = p*l + 6. Solve -2*r = -l - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8296*m + 91 = -8293*m - 5*o, -3*m + 71 = 5*o for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.36 - 0.06. Suppose h = -4*y + 5 + 4, 3*h + 5 = 4*y. What is the nearest to 1 in q, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61039 is divided by 2657.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38826, -77596, -116362, -155124, -193882, -232636?\n\"Answer: 2*w**2 - 38776*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(68) + 2*sqrt(68)) + (sqrt(68) - (1 + sqrt(68)*-1)) + 0 + -1 + 1)**2.\nAnswer: 352*sqrt(17) + 8292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.95 - -71.05. Let d = t + -71.99929. What is d rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -27?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -53?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, 32, 1, 23, -2 in decreasing order.\nAnswer: 32, 23, 16, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.13, 2\/11, 0.1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = -112. Let c = 110 - 152. What is the remainder when z is divided by 3\/(c\/(-4)) + (-4620)\/(-294)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567180515 to the power of 1\/2, to the nearest integer?\nAnswer: 23816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1797 in 2\/7, 5\/2, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-254)\/(-2667)*(-14)\/(-8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 4*w - 2*w**2 + 11*w + 2*w**3 in the form m*w**2 + p + g*w**3 + d*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (64\/(-5))\/((-78)\/15 + 5). Let b = z - 52. Let s(j) = -j**2 + 13*j + 8. Is s(b) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 36*u**2 - 38*u - 36. Let j be t(-37). Sort j, -14, 0.5 in increasing order.\nAnswer: -14, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*k + 30*k**2 - 95*k**2 + 59*k**2 - 28 - 35*k.\nAnswer: -2*(k + 14)*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399816723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2. Let s(a) = 951798*a. Calculate s(c(n)).\nAnswer: -6662586*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3690\/(-9225))\/((-18)\/(-20) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -564144 - -807055. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7218, 7328, 7334, 7182, 6818, 6188, 5238, 3914?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 52. Calculate the smallest common multiple of d and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241899020 a multiple of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2 = h, 0 = 6*g - 4*g - h + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-28)\/30*(-455)\/(-2184).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-13)\/(1456\/48))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(2 - 1) + -820. Round g to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 230 and 0.4.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20288074 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33643764 divided by -7557?\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003856179 to 7 dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 2*t**2 + 4*t**2 + 14*t**3 - 2*t**2 - 2*t to the form v*t + w*t**2 + r*t**3 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*b**3 - 14269*b**2 - 3 + 14268*b**2 - 4*b**4 - 68*b**3 + 120*b**3 to n*b**3 + d*b + u*b**4 + g*b**2 + r and give n.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5*2\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by -49?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65 + -102 - 12) + 2 + 1 + 3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-4)\/(12\/(-1647)).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (5 - 2) - -5 - (4 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = -78*m + 164. Solve -15*x = -m*x - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = q - 1348, 2*q = -2*q. What are the prime factors of m?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0, -14\/3, 1\/6, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkkkxddbkkkkbxdbbbu. Give prob of picking 2 x, 1 b, and 1 u.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1648?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 - -3 - 24\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66072?\nAnswer: 2, 3, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5805122 by -53.\nAnswer: -5805122\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9172\/8*-1*(-1 - 1). Suppose 17*i - 4201 - s = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away -6254.8482812?\nAnswer: 6262.8482812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (9 - 6) - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 212\/1696 + 1 + -5 + 3 + 771\/552?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9643268260.\nAnswer: 2, 5, 482163413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:42 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 6. Suppose -l + 0*o + 5*o = 19, 0 = 2*o - 6. Calculate the lowest common multiple of 4 - (-6)\/(l\/(-2)) and g(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(sqrt(5) + -1 + sqrt(5)) - (-3 + sqrt(5) + -1)) + (sqrt(2450) - sqrt(2450)*1)\/(5*sqrt(90) + sqrt(10)))**2.\nAnswer: -130*sqrt(5) + 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 3*m - 2. Let p be w(-2). Suppose s + r - 12 = p, -10 = r - 6*r. Calculate the highest common divisor of s and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -25*g + 42. Let u be n(4). Let q be (-398)\/(-4) + 1\/(-2). Let y = u + q. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 8*h - 5. Let b = 209 - 206. What is j(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*t + 7 = b, -3*b - 4*t - 11 = 0. Let i = -4 - b. What is the third derivative of 4*g**5 - g**5 + g**2 - 4*g**i wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 2:24 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-2)\/4*(-1240)\/1550\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1267070 and 476135.\nAnswer: 3935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.6 - 0.4. Let j = -0.05 - -0.45. Let p = j - 0.2. What is the nearest to p in 5, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1056292, -3, -1, -4 in increasing order.\nAnswer: -4, -3, -1, 1056292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.45 - -336.45. Let k = 202 - c. Let a = k + 135.89. Round a to one dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6708017 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -402332.\nAnswer: -17\/402332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25238 - 2*m + 25238.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*-4 - -10. Differentiate k**4 + 4 + l*k**2 - 2*k**4 - 6*k**2 with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*v - 6*v + 8*v)*(v**3 - v**2 - v**3 + v**3).\nAnswer: 13*v**4 - 13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.1\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d**2 - 29080*d + 2*d**3 - 4*d**3 + 29080*d.\nAnswer: -2*d**3 + 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + 2*h)*(-2*h**4 + 3 - 3 + (-h**4 - h**4 + 5*h**4)*(-3 - 1 + 6)).\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1286681 by -10.\nAnswer: 1286681\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41968332 or 41968329?\nAnswer: 41968329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 561*k - 86. Let r(n) = -69*n**2 - 1. Calculate y(r(g)).\nAnswer: -38709*g**2 - 647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 11. Is (-203 - 8)*(1 - f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-700)\/(-150)*(-6)\/28*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, -9, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 12:29 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14 - 101 + 0 + 12 - 539*a. Is u(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + o**3 - 1 + 2*o - 40*o**4 + 41*o**4 - 2*o**2 to u*o + v*o**3 + i*o**4 + d + r*o**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12915 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/2, 0.02468, 2, 5.\nAnswer: 0.02468, 2, 5, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18240452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z + d - 6145, 3062 = -2*z + 4*d. Let y = -1021 - z. What are the prime factors of y?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 3*r**2 + 0*r**2 - 7*r)*(-16*r**2 + 485*r - 487*r - r**2).\nAnswer: 34*r**4 + 123*r**3 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -8*l + 9. Suppose 0 = 3*z + 2*w - 11, z = l*z - w - 5. Suppose -19 = -z*o - 7, o + 64 = 4*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 2*o**2 - 4*o. Let f(i) = 8*i + 6. Let t be f(3). Let l = 27 - t. Calculate c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.15 and 22.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from xaxai?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-406)*-14*1*-17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 420 - 404. Calculate the highest common divisor of y and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - 630\/24)\/(12860\/3216 + -4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2270*y - 541*y + 110656 = 0 for y.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zus when three letters picked without replacement from zusiuz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13280 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.62? (a) 4\/5 (b) -2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*x**4 + 72015*x**3 - 1055262 wrt x.\nAnswer: 28*x**3 + 216045*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 8. Suppose -j*k + 42 = -3*k. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54079884 at least as big as -54079883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 663830 to the power of 1\/2, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 5*f**4\/24 + f**2. Let o(u) = 30*u + 47*u - 80*u. What is o(m(h))?\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -607987 = -3039937\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 742*z**3 + 5*z**2 + 26 - 741*z**3 + 28*z - 38*z**2 + 13*z. What is the tens digit of v(33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + 0\/(-2). Suppose 0*p = 4*p + 12. List the prime factors of (p + 2)\/(g\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/2)\/17*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 - -0.24. What is the nearest to 0.4 in -4, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 64\/5 of a gram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 447.\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27893 is divided by 283?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(-128)*1\/(-21)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Solve -2 = -o*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5243154 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(22\/(-55) + (-92)\/(-180)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41500.03 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 61 = -61. Let h(r) be the third derivative of 0*r + y + 7*r**2 + r**3 - 1\/12*r**4. Differentiate h(i) with respect to i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.0812*6.\nAnswer: 126.4872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c + 5*o = -13436020, -c + 4*o = -3359016. What is c rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -81032000.99.\nAnswer: -81032001.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-68)\/17 + (-82)\/(-21). Let l = 925\/217 - 82\/93. Let b = 26\/7 - l. Sort b, 0.2, j, -0.5 in descending order.\nAnswer: b, 0.2, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 10. Let x = 66.47 - 66. Let p = x - 0.07. What is the smallest value in -3\/4, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7847 divided by -59.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1663 + 5637?\nAnswer: 7411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/9 + 1550*h**3\/9 - 518*h**2 + 4666*h\/9 - 1556\/9.\nAnswer: 2*(h - 1)**3*(h + 778)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37685\/9 + 4187. Put 55, -2\/3, 0, -0.1, v in descending order.\nAnswer: 55, 0, -0.1, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1000*c**3 + 1121 with respect to c.\nAnswer: 3000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = -2*b. Suppose l + 26 = -b*k, 0 = 5*k - 3*l + 34 + 7. Let h(s) = s**3 + 6*s**2 - 7*s + 4. What is h(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 11454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + p**2 - p**2 - 26*p**2 + 183*p - 183*p + p**2 - p**2 + 2*p**2 + p**2 + 3 - 3 + (2*p + 0 + 0)*(2*p + 0*p + 0*p) to d*p + h + v*p**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 178645617 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 60*x**2. Suppose 0 = 78*a - 65*a + 65. Let q(l) = 3*l. Let i(m) = 2*m. Let r(t) = a*i(t) + 4*q(t). Determine o(r(k)).\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/55 and -89\/5991340.\nAnswer: 65904740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 0 - (36 - (-16 - -19) - 50).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*c = 3, -5*c + 0*c = 3*q - 5. Suppose 11 = 4*u + 3. Suppose q = -m + u, -1 = -0*g + 3*g - 5*m. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 379189278 and 936.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from baabbbibxfxabbaba.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 396. Is p a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330184 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 353545 and 2474815.\nAnswer: 2474815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1862*h + 14. Let g(x) = -1862*x - 11. Give 4*g(a) + 3*m(a).\nAnswer: -1862*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10037 = -30511. Suppose j = 3*y - o, -y - 3*o + 8*o = -4482. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 20881167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -722667 from -4.\nAnswer: 722663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-10)*4\/54.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 8*f = -2*h, -3*h + f + 5 = 0. Let c be (-81)\/(-729)*(1 + h). What is the closest to 0.7 in c, -1\/3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -160256064, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**5\/60 + 21*f**2 + 2*f. Let j(s) = -3*s**2. Give v(j(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*w**2 + 16*w**2 + 5*w**2 + 16*w**2 - 115*w in the form r*w + z*w**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.218684 to 0 decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - j**2 + 1. Let x(v) = 2*v**3 + 2*v**2 - 2. Let m(w) = -l(w) - x(w). Suppose -3*c - c = -28. What is the remainder when c is divided by m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 5*w**3 + 0*w**3)*(-w + 0*w - w) - 9 + 7*w**4 + 9 - w**4 + 0*w**4 + 2*w**4 - 6*w**3 + 6*w**3 - 4*w**4 + 5*w**4 - w**4 + 0*w**4.\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-6)*-1*1785\/(-14) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 10*k**2 + 21*k - 232. Let d be t(10). Which is the biggest value? (a) 3 (b) d (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqqp when four letters picked without replacement from apqqqqaaaapaa?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 166. Suppose -16 = j*k - 22. Solve k - 15\/2*g + 13\/2*g**2 = 0 for g.\nAnswer: 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 4*m + 9. Let q(j) = -2*j**2 - 4*j + 8. Calculate 2*f(p) - 3*q(p).\nAnswer: 2*p**2 + 4*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/11 + 6016*t\/11 - 4524032\/11 = 0. What is t?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*f - 5012, -3*f + 0*r + 3020 = -5*r. Let a = f + -673. Suppose 0 = 2*m - 0*q + q - 132, 5*m + q = a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 5*i**2 + 5*i - 3. Let j(k) = -k**2 - k + 1. What is 5*j(x) + u(x)?\nAnswer: x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8082, 16191, 24324, 32481, 40662?\nAnswer: 48867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**6\/3 + o**4 - 103*o**2 + 186. Find the second derivative of z(i) wrt i.\nAnswer: -40*i**3 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54450 = -111*h + 89*h - 688*h - 115*h for h.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9663237 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.14 - 0.14. Let m be 4\/16 - 6\/216. Which is the third biggest value? (a) m (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3004*f + 756. Let h(c) = -601*c - 151. Let x(v) = -11*h(v) - 2*q(v). Is x(50) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24\/259 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3433 + 3432.6. What is the nearest to 1\/24 in 2\/13, m, -2\/7, -3\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14596 + -14596.14068. Round t to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*q**3\/13 + 2426*q**2\/13 + 692*q\/13.\nAnswer: 2*q*(q + 173)*(7*q + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3971 + -1.1.\nAnswer: 1.2971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 + 8 - (5 + 4)) + -9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g. Let j(u) = u + 1. Let v(z) = 11 + 6*z - 29 - 27*z. Let a(o) = 18*j(o) + v(o). What is l(a(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:55 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1728*s**2*v**2 + 7*s*v**3 - 290*v**3 + 56 wrt s?\nAnswer: -3456*s*v**2 + 7*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11\/2 + -147\/26. What is the third smallest value in 40, 2\/5, 0, p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (2 + (-6)\/3). Let o = v + 17. Let u be (0 - o\/6) + 2. Which is the third biggest value? (a) u (b) 2\/3 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 280*h + 12 - 8 as w + y*h and give y.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 428, 1685, 3778, 6713, 10496, 15133, 20630, 26993?\n\"Answer: i**3 + 412*i**2 + 14*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 93 - 57. Suppose 3*n = 3*h, -5*h - 11 = -4*n - x. Put -0.1, -1, n, 4 in ascending order.\nAnswer: -1, -0.1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 10*m + m + 25*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 13. Let b be 0 + (r - 2337\/1). Let f = b - -7078\/3. Calculate the common denominator of 26\/5 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3102\/73931)\/(6 - (0 - 0))\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08 and -0.131.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10379 divided by -89.\nAnswer: -10379\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + -1 + (sqrt(7) + 1 - sqrt(7))*5.\nAnswer: 4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3474.584 - -7.\nAnswer: -3467.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**3 - 9*o**2 - 20*o + 5. Let v(s) = -2*s**3 + 2*s**2 + 5*s - 1. What is 2*b(r) + 9*v(r)?\nAnswer: -2*r**3 + 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 8*i + 5*p = -33, -5*p = -3*i + 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 9 + 11 - 23 + 352*j in the form u*j + w and give u.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 70d?\nAnswer: 70b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 9*h - 6*h - 4 = 0, 8 = t - 3*h. Solve 2*y - t = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121\/5526231 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*k + 52 = 0, -6249*k + 6250*k - 14 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6105*i**2 - 123*i + 1092. Let x be m(9). Round x to the nearest 1000.\nAnswer: -495000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/4 + s**3 + s. Let w(m) be the first derivative of -3*m**2 - 1007. Determine w(l(h)).\nAnswer: -18*h**2 - 36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757.249ns in microseconds?\nAnswer: 2.757249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-14)\/y*y)\/y)\/y)**(12\/7)\/(y**(-1\/5)\/(y\/(y\/(y\/((y*y**(-26))\/y))))))**(-35) assuming y is positive.\nAnswer: y**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 948 (b) -2\/23 (c) -3 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**3 - 31*c**2 - 28*c + 59. Let w(j) = 5*j**3 + 31*j**2 + 28*j - 59. Let p(u) = -4*g(u) - 5*w(u). Determine p(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnnjillljlnn. What is prob of sequence lj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3530 (base 9) to base 12.\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -4\/7 (b) -4\/4037 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**5\/5 + 65*s**4\/4 - 155*s**2\/2 - 3*s + 1506. What is the second derivative of f(l) wrt l?\nAnswer: 24*l**2 + 390*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0*(-3)\/(-9))\/(1 - 4). Factor 0*x**4 + 0*x**2 + f*x + 2\/7*x**3 + 0 - 2\/7*x**5.\nAnswer: -2*x**3*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 399, 0.2, 5\/3, -17?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 14 = 2*h, h + 3*u - 8*u = 21. Solve -3*m = h + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.049, -0.5, -0.1 in descending order.\nAnswer: -0.049, -0.1, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 631156?\nAnswer: -631152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - w)*(-1 + 0 + 6)*(-2*w + 4*w - 3*w + 3*w - 2*w - 3*w + (4 - 2 - 3)*(-w + 3*w - w) + (-4*w + 2*w - 7*w)*(0 + 0 - 3) + 3*w - 3*w + w).\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 31, -5, -2311, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - u + 7. Let o be f(0). Let b(n) = -2*n**2 + 3*n - 20. Let v be b(o). Let q = 53 - v. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 5. Let r be w(0). Suppose -2*d + n - 27 = 0, -3*d = n - 5*n + 33. Let x be (20\/d)\/(4\/(-6)). What is the third smallest value in 1, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*w + 7776 = -237*w + 843*w for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10994791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/10875 = 20\/1321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70.0292 + 0.0708. Let k = 69.8 - o. Is k >= 1\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764229 is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -237, 3, -1, 4 in increasing order.\nAnswer: -237, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 3*a - 5. Let g = -8 + 7. Let z(o) = -3*o**2 + o. Let l be z(g). Calculate r(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 2*y - 2. Let p(g) = -g + 12. Let w be p(0). Let i(q) = q**3 + 7*q**2 + 13*q + 30. Let j be i(-5). Let z = w - j. Calculate l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -1 - 11. Let p = 43 - 22. Suppose -o*r + p = -n + 3*n, 10 = 2*r. Solve n*f - f - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/80*(-6)\/(-540)*20.\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-92)*6\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 116 - z + 3*z**3 + 3*z**3 - 3*z**3 - 53 to k*z**3 + c*z**2 + t*z + n and give n.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 6:53 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*q - 3 - 2, 0 = -o - 5*q + 28. Suppose -5*h + o*h = -22. Calculate the least common multiple of h and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1482\/(-15561))\/(32\/(-14) - 0)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486385*a - 1243 = 486498*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 232*s = -270*s - 178, -5*s - 17 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4 - 4 - w**2. Let k(a) = 3*a**2 + 4*a - 2. Let h(r) = 12*r**2 + 18*r - 9. Let o(c) = 2*h(c) - 9*k(c). Calculate d(o(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 25*l - 19. Let i(t) = -131*t + 70. Let f(s) = 44*s - 23. Let x(a) = -17*f(a) - 6*i(a). Let c(p) = -8*r(p) + 5*x(p). List the prime factors of c(-5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28298*m**4 + 825*m wrt m.\nAnswer: -339576*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyccoyoyywowooyoyc. Give prob of picking 1 w and 3 o.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*o - 4*o - 2*o)*(3*o - o - 3*o) + 6473*o + 173*o**2 - 6473*o in the form z*o + b*o**2 + q and give b.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 17*w - 10. Let z(g) = -4*g. Let v(f) = -b(f) - 2*z(f). Calculate v(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 45 + 19 = -3*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -21, 0 in increasing order.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t - 5*x - 18082 + 17932, 123*x = 4*t + 429 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42816*l - 41880*l = -76752 for l.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 135838, 353, 1.\nAnswer: -3, 1, 353, 135838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + g = -24*m - 7 - 105, -28 = 3*m - 4*m + 3*m + 5*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/25 - 9\/(-15). Let f(w) = u*w**3 - 1 + 3*w - 4*w**3 + 0*w + 3*w**2. What is the remainder when 22 is divided by f(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52519 is divided by 13129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Suppose 9*d - 11*d = -4. Let t(c) = 7*c**2 - 3*c**2 + c**d. What is t(h(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Suppose u = -4*s + 4*y + 4, -3*s - 2*s - 27 = 3*y. What is the common denominator of -87\/20 and (-62)\/40 - (-4 - s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/5 or -87194\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1154 = -2*r, -5*r + 8*l = 4*l - 2839. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1562422 (base 7) to base 5\nAnswer: 23420423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138117426.\nAnswer: 2, 3, 23019571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21706993*a**3*v - 2696526*a*v - 15*v wrt a?\nAnswer: -130241958*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19191, -38594, -57997?\nAnswer: -77400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 46*y - 10. Let l(n) = 12*n - 35. Let i(x) = 35*x - 94. Let f(s) = -3*i(s) + 8*l(s). Calculate 11*f(z) + 2*r(z).\nAnswer: -7*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-18))\/((-14)\/90*228\/4788)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v - 3*v = -2378 + 2630 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 10:16 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/121511 and -31\/9?\nAnswer: 1093599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/7, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 812 - 579. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 420*s - 401*s - 323 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4024899 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 259*i**3 + 8*i**2 - 8*i + 4. Is n(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*i + 48 = 0, 4*i + 20 = -23*t + 27*t. Solve -4*x + 3*j - 7 = 0, -5*j = -4*x - 0*j - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 2, n: 2, t: 4, r: 2, m: 1}. What is prob of picking 2 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + (2 - 0)) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 260847019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(14)\/sqrt(2)*6).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*21\/18 - -1. What is the nearest to 2 in 0.5, o, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-1 - 0) - ((-57 - -40) + 27).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.336382191 + -0.1.\nAnswer: -0.436382191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407842 is divided by 284?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 + 4*z - 1. Let r(b) = -b**3 - b. Let x(f) = p(f) + 2*r(f). Suppose h - 4 = -4*t, 2 = 2*t + h - 3*h. List the prime factors of x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2147, 4225, 6297, 8357, 10399?\n\"Answer: -c**3 + 3*c**2 + 2076*c + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-182)*(-28 - -36).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2720 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226630433 divided by -61.\nAnswer: -3715253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27449802 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 r be 9\/4*(-48)\/(-9). Let l = r + -9. Which is bigger: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3165 divided by -102.\nAnswer: 1055\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3065 + -735.2?\nAnswer: -735.5065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x - 3*h - 36 = 0, x = 3*h + 18. Let i = x - 7. Let a be -37500*(-12)\/(0 - i). Round a to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121200120 (base 3) in base 8?\nAnswer: 27605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108418 and 42362?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-57)\/(-133))\/3)\/(1\/(11*7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 10*w**2 + 13*w + 1. Calculate s(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-492)\/(-108) + -4 - 2\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760044066?\nAnswer: 2, 3, 71, 503, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 11*x - 11. Let f be l(-10). Is 10 a factor of 2\/f + 18 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 12. Let s be a(14). Let j = s + 37. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 187. What is the remainder when d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 159, 326, 501, 690, 899?\n\"Answer: y**3 - 2*y**2 + 166*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -25*o + 109*o + 97*o - 7*o. Let l(h) = 35*h. Let p(d) = 21*l(d) - 4*v(d). Let n(u) = -7*u**2. Determine p(n(g)).\nAnswer: -273*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + -21901.84\nAnswer: -21901.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d**3 - 446*d**2 - 458*d - 10. Let f(z) = 36*z**3 - 2228*z**2 - 2290*z - 52. Let c(y) = 5*f(y) - 26*v(y). Let c(r) = 0. Calculate r.\nAnswer: -1, 0, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**6\/360 - v**5\/30 + 5*v**4\/24 - v**3\/6 - v. Let a(s) be the second derivative of p(s). Determine a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24990 and 1838703.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2 + 3*o - 3. Suppose -8*a + 28 = -4. Let t(l) = -3*l**2 - 2*l + 2. Let m(z) = a*g(z) + 6*t(z). Let w(r) = -2*r - 48. Determine w(m(q)).\nAnswer: 4*q**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4511 - -6765. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 9*w**5\/20 - 3*w**4\/4 + w**3\/6 - 253*w. Let a(h) = -13*h**3 + 14*h**2 - h. Calculate -5*a(y) - 7*o(y).\nAnswer: 2*y**3 - 7*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 427*k**6\/6 + k**3 + 46*k**2 - 172. Find the third derivative of a(y) wrt y.\nAnswer: 25620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 8:02 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 310\/7. Let l = -256\/1071 + 2\/119. What is the third smallest value in z, -3, l, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.24 - -28.19. What is the nearest to -1 in 0.3, -2, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110400 and 26358.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 5:49 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -22. Let d be (2\/3)\/(4\/(-8)). Which is the smallest value? (a) v (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*h - 1, h - 6 = 4*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d93 + 1c?\nAnswer: db1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 51*j = 48*j + 21, -2*w + 2*j = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5403*s**4 - 14*s**2 - 9213. Let t(p) = 772*p**4 - 2*p**2 - 1316. Let d(a) = -2*c(a) + 15*t(a). Find the third derivative of d(w) wrt w.\nAnswer: 18576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 2 + 9 - 22 - -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(33)\/sqrt(3) + 4 + sqrt(11) - sqrt(44)*1)*-5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32.96663622 and 0.5?\nAnswer: 32.46663622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164348358 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 19 = -29*x. Which is the closest to x? (a) -1\/5 (b) 4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 61643?\nAnswer: 5\/61643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 313534186.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 147533, 1180208, 3983181, 9441602, 18440621, 31865388, 50601053, 75532766?\n\"Answer: 147525*y**3 - y**2 + 3*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**3*r - 2*d**3 - 4*d**2*r**3 + 314 with respect to r.\nAnswer: -8*d**3 - 12*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 335 = -x - 2*a, 4*x = a + 450. Suppose -w + 7 = -x. Suppose -3*b + 74 = -4*q, 0 = -7*b + 2*b + 5*q + w. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 257 = 107. Let x be 1\/(u\/(-12) - 4). Suppose -3*q + 12 = x*q. Solve 0 = -0*r + q*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.8 (b) 0.3 (c) -19\/2 (d) 0.2 (e) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/28632 and 139\/6?\nAnswer: 28632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 7. Let n be y(-14). Let u = n + -11. Let q be (-2)\/u - 2\/2. Which is the second smallest value? (a) q (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1765615 and 21187380?\nAnswer: 21187380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + 2 - (24 + -34 - (-5 - (-7 + 19)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -2*m**3\/3 - 9*m. Let y(s) = 5*s. Determine u(y(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -292 and 4.\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 639161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y - 24. Let z be 2\/8 - (-918)\/y. Let r be 4\/(-14) - z\/(-35). Solve 0*i + i = r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-396)\/90 - (-2)\/5. Let g = -0.873 - -0.473. Which is the closest to -0.2? (a) j (b) g (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/443 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 2 - -7 - (-15 - -22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3 - 45*g - 14 wrt g?\nAnswer: -3*g**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 33*m + 14. What are the prime factors of d(14)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 2 + 2 + (-u - 1 + 1)*(3*u**2 - 3*u**2 + 2*u**2))*(6*u**2 + 5*u**2 + 0*u**2 - 8*u**2).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*y = 7142 + 4751 + 34493 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4326737 is divided by 540840.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2537, -4589, -6645, -8705, -10769, -12837, -14909?\n\"Answer: -2*u**2 - 2046*u - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 35, o - 20*q + 15*q - 26 = -q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112896928*z + 81931632 wrt z?\nAnswer: -112896928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n = -60*n - 297. Let i = -89 - n. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2511 is divided by 1252.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21 = -2*s - 0*s, -3*s + 5*y - 16 = 0. Find the first derivative of 2*p**4 - 291*p + 291*p - 9*p**s - 19 wrt p.\nAnswer: 8*p**3 - 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + k - 4. Let u be c(-4). Suppose 2*g - u = 10. Suppose 3*y = 2*y + 3*b + 1, -5*b + 5 = 0. What is the least common multiple of g and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 7*p**4\/12 + 2*p**2 + 58. Let o(a) = -a. Calculate d(x) + 12*o(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bd8d4 (base 14) to base 11.\nAnswer: 1196917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351497?\nAnswer: 351497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.31883679 and 55439.\nAnswer: 55438.68116321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 567? (a) 0.2 (b) 11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 1 + 2*d**2 - 6*d**2 in the form c*d**2 + h + i*d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d**3*k**3 + 2*d**3*k + 5*d**3 + 2*d**2*u + 2*d*k**2*u - 5*d*k*u - 25*k**3 wrt k.\nAnswer: 60*d**3*k + 4*d*u - 150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 - 5*b - 2. What is the remainder when j(4) is divided by 42\/35 + 2 + 238\/10?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011 (base 2) to base 14.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.74333 - -6.75. What is v rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000930135628 to 6 dps.\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 129*p + 3972. Suppose 0 = -14*v + 23*v + 126. Let n(f) = 5*f**2 + 259*f - 7945. Let r(s) = v*o(s) - 6*n(s). Let r(h) = 0. What is h?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**5\/20 + w**4\/2 + w**3 + 4*w**2 - 4*w + 3. Let s be f(-5). Solve -3*d - n + 2 = n, -3*n + s = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (14 + 10 + -24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*g - 99 = s, -5*g - 69 = -4*s. Let b(i) = -i**3 - 20*i**2 - 17*i + 44. Let y be b(-19). Suppose -4*p + 4*c = -12, y = -3*c + s. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/(2\/(-12)). Let y = -6 + z. Suppose 0 = y*u - 5*u + 6. Let g(n) = 2*n**2 - 2*n - 3. What is g(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h - 10. Calculate the remainder when 18 is divided by m(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210.54494 rounded to the nearest ten?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**2 - k - 13. Suppose 3*y - 76 = 2. What is the remainder when g(3) is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -817 < 6785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-4)*44\/33. Let r(k) = -k**2 - 8*k - 6. Let o be r(m). Solve -q = -3*q + o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2641 - 2646. Let c(v) = -9*v**2 + 5. Let g(x) = x**2. Determine j*g(m) - c(m).\nAnswer: 4*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a568227 + -5?\nAnswer: -a568231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(-24))\/(2\/(-86586)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/33 and 43\/360?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {d: 3, b: 1, g: 2, e: 1, u: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, j: 4}. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2. Let m(k) = 26*k + 1786*k - 318*k. Determine m(d(x)).\nAnswer: -4482*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -16*g + 15*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/18475911 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2492775)\/3195)\/(-15) - 52.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 3, 1, -14 in descending order.\nAnswer: 3, 2, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*c - 6*c. Suppose -5*g = d - 79, -23 = -g - 0*g - c*d. Suppose 6 + 4 = 2*k. What is the greatest common divisor of g and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 17*a. Let f(u) = -33*u. Let x be ((-2)\/(-5) + -1)\/((-8)\/80). Give x*f(t) + 13*v(t).\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4251, 33782, 113931, 270006, 527315, 911166, 1446867?\nAnswer: 2159726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t - 7 - 73. Suppose 5*h = -25, a - h - t = 12. Solve a*f = 11*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + -24. Let b = -19 - n. Suppose -w = 2*w - h - 11, -w - h = -9. What is the greatest common factor of b and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 8:02 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 150\/71 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 16*y - 128. What is s(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 251431.283\nAnswer: 75429.3849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1550 divide 131984050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/(-20)*5\/(-1). Let y = -11 - z. Suppose -4*h + y = -1. Let c(i) = -4*i + 3. Calculate c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116139157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -935850579*d**4 - 33389512*d wrt d?\nAnswer: -11230206948*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 2 - 2)*(0 + 0 - 9*p + 3*p - 2*p + 2*p + (2 + 2 - 5)*(-2*p - 4 + 4) + p - 3 + 3 + 2*p + 0*p - p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 4107 + 4*a**2 - 6*a - a + 4106 - 3*a to k*a**3 + y*a + j + b*a**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 48438?\nAnswer: 48438.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -286*x + 308. Let j be m(1). Which is the closest to -6? (a) j (b) -2\/11 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 2\/5, 0, 8.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1579198, 1579170, 1579142, 1579114?\nAnswer: 1579086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 14330*i + 1. Let f(q) = q**2 + 7*q - 5. Let d be f(-8). Let o be z(d). Suppose -3*u = 417991 - o. What is u rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(-5 + (-2*sqrt(171) + sqrt(171) + 1 - (sqrt(171) - (sqrt(171) - (sqrt(171) - (1 + sqrt(171) + 0) - sqrt(171))))))*3)**2 + 1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d. Let f(h) = -399*h**2. Calculate q(f(l)).\nAnswer: 1596*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39935\/12 + 3330. Let k be (7 - 2) + (585\/(-73))\/3. Let h = 7499\/4380 - k. Calculate the common denominator of h and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let v = -18 - -13. Put f, 5, v in descending order.\nAnswer: 5, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 336523\/20 + -16830. Calculate the common denominator of (-9)\/3 + (-82)\/16 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 2*h**3 + h**2\/2 + 3*h + 48. What are the prime factors of x(4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359516 is divided by 66.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4\/3 + 9*h - 7\/3*h**2 = 0.\nAnswer: -1\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 16*b**3 + 14*b**3 - 7499*b + 3.\nAnswer: -2*b**3 - 7499*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7.5 + 0.24\nAnswer: -7.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 111, 235, 369, 519, 691?\n\"Answer: t**3 - t**2 + 120*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*q - 78, -5*o + 230 = -10*q + 15*q. Calculate the greatest common factor of q and 704.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c**2 - 103*c - 37. Let b = 18777 + -18786. Give g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 12:43 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 9. Suppose -3*n = 5*p + 24, 4*p - 9 = -5*n - 23. Let i be y(p). Suppose 0 = -4*m + 33 - 13. Solve 9*u - m*s = 4*u + 5, -i*u - 3 = -s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 7*r = 84. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 - 27 - 32 - 2*g + 294*g**2 - 25 + 113 to the form r*g**2 + o*g + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + y + 55 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 < 45173\/774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39\/4504 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/(-35) - (-496)\/14. Suppose 32*p + 100 = n*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:40 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6256714 at least -6256879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -271, 2, -32, 3, -1 in increasing order.\nAnswer: -271, -32, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -945 times -4\nAnswer: 3780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*o - 1\/3*o**2 + 574\/3 = 0. Calculate o.\nAnswer: -1, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.201 (b) -30 (c) -1\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/((a\/(a*a**(1\/4)))\/a)*a))\/a*(a\/a**(2\/23))\/a)**42)**(-35))**(-10\/11) assuming a is positive.\nAnswer: a**(-1128225\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/4*-2 + 2. Let g be 150 + 9\/h*-4. What is the greatest common divisor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -21*k**3 + 4*k + 9. Let p(j) = -41*j**3 + 8*j + 17. Let h(a) = 6*p(a) - 11*z(a). What is the second derivative of h(w) wrt w?\nAnswer: -90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 27*n - 15. What is u(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*z + 4, -121 = o - 2*z. Which is smaller: o or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 181 = 3*z + 5*y, -5*y = -5. Calculate the highest common divisor of z and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 6 = -2*w. Let t = -287 + -892. Let x be (-2*(-2)\/12)\/((-131)\/t). Solve 0 = x*a - w*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 35*l + 33*l - 61*l. Let a(d) = -3*d**2. Calculate o(a(m)).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396959052.\nAnswer: 2, 3, 7, 1429, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**3\/3 - 2*v**2 + 12*v + 98. Let s be p(-6). Which is the second biggest value? (a) -4 (b) s (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -89, -159, -301, -539, -897, -1399?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - 5*y**2 + 5*y**2 + (16 - 16 + 12*y**2)*(-4*y - 2*y + 2*y) + 0*y**3 - 2*y**3 + y + y + (2 + y - 2)*(-y**2 + 4*y**2 - 5*y**2).\nAnswer: -54*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -106 (b) 0.038 (c) 0.06 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 371\/(-231)*-3 - 15\/(1320\/(-16)). Solve 7\/2*h**2 + 1\/2*h**5 - 11\/2*h**3 + c*h - 4 + 1\/2*h**4 = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136562650 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.86423 and -6093.\nAnswer: -6092.13577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, -9, -102, -301, -642, -1161, -1894?\n\"Answer: -6*l**3 + l**2 + 16*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55688422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -376 - -392. Suppose -3*x + 4*x = 2*w + 4, o = 4*x. Solve 6*v - 2*v = -d + 15, -v + d + 10 = w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 257\/3. Is 1\/4 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 10. Calculate the lowest common multiple of 13 and b(10).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 227 = h, -3*h - 5*a + 685 = -0*a. Calculate the greatest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 13*d = 15. Suppose 0 = 2*g - 4*h - 84, -h - 84 = d*g - 5*g. Let l = -11 + 32. Calculate the greatest common factor of l and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7491002 to the nearest one thousand.\nAnswer: -7491000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w, -j + 3 = -2*j + 4*w. Suppose -2*x = -h - 4 + j, 3 = 3*h - x. Solve 0 = f - 6*m + 4*m - h, 5*f - 2*m = -19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 25, 2, 5, 2603, 0.3, -1\/11?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 590*p + 12. What are the prime factors of b(1)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 5*k**2 - 4*k + 14. Let a be m(-6). Let c(p) = 55*p + 6. Let b be c(a). Let y = b - 1. List the prime factors of y.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1 - 16 + 8 - 4*n. What is the units digit of b(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1013992 - 0.4.\nAnswer: -1013992.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + a - 5 = 0, -2*a - 3*a = -2*s + 23. Suppose -i - s = -12. Calculate the remainder when 14 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 265086?\nAnswer: 1325430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -1\/7, 28, 4, 0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/5 + 3994296*b\/5 + 997150033476\/5.\nAnswer: 4*(b + 499287)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -23*x + 178. Let l be q(7). Solve l*a - 14*a = -6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2580 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 2:58 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 59*y + 280. Give x(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14760 = -7765*v + 8257*v for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/8*(-3420)\/504*(-64)\/(-40)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -28*r**2. Let y(c) = 3783*c**2 + 2*c - 2. Give y(v(s)).\nAnswer: 2965872*s**4 - 56*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 - 23.9. Let m = 27 + k. What is the closest to 0 in 4, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157 - -144.9. Let r = 4.1 + w. Which is the fourth smallest value? (a) 3 (b) 1 (c) -2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**2 + i - 12. Let m be t(4). Let r be ((-4)\/8)\/(1\/m). Calculate the greatest common divisor of r and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjjup. What is prob of sequence ujpj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/(-1) + (-21)\/504*-26?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/89573 and -3\/136994.\nAnswer: 2328898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23126*g**2 - 23136*g**2 - 7*g**3 + 3*g**3 + 46262*g**2.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.1*0.5.\nAnswer: -13.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-1 - 8) + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 + 72*o**2 - 75*o = 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m = -23*m + 45. Calculate the remainder when 7 is divided by 15*(4 - (-33)\/m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 19\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**2 - u**3 - 3*u + 3*u + 15*u**2.\nAnswer: -u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51426 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b = -75*b + 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1840840 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 172 = 5*u - 209, 0 = -3*t - 9. What is the lowest common multiple of u and (4\/(-6))\/((-82)\/123)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 1, -5, -6, 0.\nAnswer: -19, -6, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 582, 518, 454, 390?\n\"Answer: -64*p + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*n**2 + 68*n**2 + 45*n**2.\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2\/7, 4, -1005, -4\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by 36\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*o = -20, 5*s + 123*o + 10 = 121*o. Let c(d) = -27*d - 5. What is c(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 11:27 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*i - 138*i = 7. Calculate the remainder when (-1250)\/(-14) - (-5 - 37\/i) is divided by (-23)\/(-4)*12\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q\/q**4))\/q**29 assuming q is positive.\nAnswer: q**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 9. Let a be n(5). Let r = -4 - -8. Put a, r, -2 in descending order.\nAnswer: r, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 4460?\nAnswer: -4465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 187*b**7\/210 + 457*b**5\/30 + 1487*b**2 + 2*b. What is the third derivative of p(j) wrt j?\nAnswer: 4488*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3224*k**2. Let x(g) = 2*g**2. Calculate f(x(o)).\nAnswer: -12896*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 7*u - 5. Let c be a(-5). Solve -3*s - c*i - 17 = 0, 4*s + 0 + 4 = -2*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (13 - -2) + -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -142\/3. Let t = 6 - 2.9. Let k = t - -0.9. What is the smallest value in k, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a0 - -4?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -119 (b) 3626 (c) -0.5 (d) -3\/5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/7, 0.10985, 0, -1\/8?\nAnswer: 0.10985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4549716713 to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -431*c**5\/5 - c**3\/6 + 14*c. Let p be s(-1). Let g = p - 37963\/22. Find the common denominator of g and 11\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -15*r + 97. What is n(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = d, 0 = 2*g - 2*d + 6. Solve 5*t - g = -16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, g: 2, k: 4, t: 3, o: 1, x: 5}. Give prob of sequence gk.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648342 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 55, -0.3, -1\/8, -30 in ascending order.\nAnswer: -30, -0.3, -1\/8, 1\/6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h + 20. Let b be p(9). Suppose -o + 48 + 6 = 4*n, 0 = 4*o - 4*n - b. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 15*v**2 - 28*v - 23. Let n be d(-13). Solve n*w - 29 = -14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -4*b + 183, 0 = b + 4*c - 60. Suppose 2*u = -2*u + b. Let d = 17 - u. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/6 - 4673*v**2\/3 + 15585*v\/2 = 0. What is v?\nAnswer: -9351, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(68) - sqrt(68)) + sqrt(68))\/sqrt(4)*5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4662 - 7639. What is the tens digit of 4\/6 + i\/(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 + 0 + 2. Let d(w) = w - 3. Let z(x) = -x**2 - 8*x - 6. Let g be z(-7). Suppose 0 = -2*b - 4*t - 26, g + 5 = 2*b - 4*t. What is b*n(l) + d(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.271 in -0.2, 0.3, -4, -0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -30. Which is the third biggest value? (a) 0.05 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2299 - -11551\/5. Let b = 109\/10 - f. Find the common denominator of b and -31\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 0 (b) -2\/11 (c) -1 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/23604 and -39\/6182?\nAnswer: 259644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = t - 0*t - 189, k - 2*t - 92 = 0. Round k to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(90)\/sqrt(3))\/((-1*sqrt(6) - sqrt(6) - sqrt(6))*-5).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2128 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -68.53*0.1\nAnswer: -6.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -36*b - 117. What are the prime factors of w(-11)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302 * 219.5\nAnswer: -66289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*g + 2*m, -6*m + 2*m = -g - 26. Let q(x) = x**2 + 10*x + 71. Is 63 a factor of q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 41.6. Let d = z + 0.8. Which is the third biggest value? (a) 2 (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + -1.1. Let n = 0.7 + v. Let u = 9464 + -9465. Sort u, -5, n.\nAnswer: -5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.328 - 24. Round i to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 8063 + 2058 + 2017 + 2067 + 2019.\nAnswer: p**2 + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5276356 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-5 - -6)) + (-3 - (-5 - 3)). Solve 0 = v + 4*s - 12, -6*s + k = 4*v - 11*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76322250 divided by -2025\nAnswer: 37690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12210 + -21111?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2513 - 1679. Suppose -6*b = -0*b - q. What is the remainder when b is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 886909512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2221392 and 73\/336.\nAnswer: 15549744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403 + 85 - 15*h + 318.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, t: 8, a: 1, v: 1, j: 1, l: 1}. What is prob of picking 2 t and 1 a?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = -23*z + 2. Let j = 3 + -7. Let u = j + 4.1. Put u, z, -1\/4 in ascending order.\nAnswer: -1\/4, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13 - m**2 - 13 + 47 - 15 - 11 + 12*m. Determine d(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*w - 816 = 107 + 1240 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 1:22 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067147 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113.37801 - -0.09199. Let q = 114 - r. Let d = -0.03 + q. Put d, 3, 1 in decreasing order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(-1\/5)*v)\/v*v*v))**(-9) assuming v is positive.\nAnswer: v**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/3 + 1120*b\/3 - 372.\nAnswer: -4*(b - 279)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1*(-2)\/(-4). Suppose o = 4*y - 2, u = y + 4*y - 5. Find the third derivative of 9*v**6 + v**o + 0*v**2 - 12*v**6 wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-36) + (-5)\/((-225)\/70). Suppose h*s + 5*d + 1 = 4*s, -2 = -2*d. Which is the closest to 0? (a) s (b) 3\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01540982 + 262.\nAnswer: 261.98459018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0*u + 167 + 6*u - 41. What is the smallest common multiple of b(-18) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v = -125*v - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 9*d + 35739*d**2 - 35740*d**2.\nAnswer: -d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37585 - -181389. Let s = k + -85404. What is s rounded to the nearest one thousand?\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**4 - n**3 + 81*n + 2185 wrt n.\nAnswer: -8*n**3 - 3*n**2 + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146827?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13885 or -13883?\nAnswer: -13885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.3\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7654.298 meters in centimeters?\nAnswer: 765429.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54640092971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 29 = 3*p, 0 = -s + 5*p - 11. Suppose 9*m - 30 = s*m. Suppose -280 = -m*k + k. Calculate the highest common divisor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -82 + 16. Suppose -t*b + 2590 + 2606 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 60471.6 micrometers?\nAnswer: 60.4716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r - 57. Let c(l) = l - 8. What is -2*b(p) + 15*c(p)?\nAnswer: 3*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 15*j + 485 - 6*j**3 + 7*j - 488. What is the hundreds digit of n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen quarters of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 56 = b. Calculate the remainder when b is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.93 + -1.65. Let n = m + 0.01. Let p = -0.41 - n. Which is the fourth biggest value? (a) p (b) 2\/3 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -2*j - 45. Let y = -83 + j. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**9\/15120 - x**8\/3360 + x**4\/6 + 2*x. Let i(c) be the third derivative of o(c). Suppose i(u) = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 + 2. Which is the second biggest value? (a) 0.03 (b) x (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*w - 856*w + 316*w + 259*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 7*x + 2, 376 = 2*p - x. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/13 in 6.8, 1\/7, 4, 0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, c: 5, f: 1, i: 2, g: 4, d: 2}. What is prob of picking 2 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10623, 10681, 10739, 10797, 10855?\nAnswer: 10913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149629 - 149629 + 10*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5\/8 - 131*x**4\/8 - 4355*x**3\/8 - 4225*x**2\/8 = 0.\nAnswer: -65, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10386, 3, -2, -3 in increasing order.\nAnswer: -10386, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = 3*b - 4*x, 10 = -b + 4*x. Let y(h) = -h + 8. Let t(f) = -6*f + 57. Let q(a) = b*t(a) - 15*y(a). Calculate q(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5\/5 + 3357*j**4\/5 - 557058*j**3 - 53833768*j**2\/5 - 256197888*j\/5 - 205152768\/5 = 0.\nAnswer: -12, -6, -1, 1688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajaarajajj. What is prob of picking 2 j and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19 - -21) + (1 - -2543 - 2).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 6. Let p be d(-6). What is the derivative of -m**3 + m**3 + 7*m**3 + p - 10 wrt m?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.1. Let s = 20955 - 20956. Let f = 559\/8 + -70. Which is the third smallest value? (a) s (b) f (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59646.\nAnswer: 2, 3, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-2)\/2*1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 30 + (1 - 4 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r**2 + r + 1. Let v(k) = -2*k**3 + 5*k**2 + 8*k. Let w(c) = -3*o(c) + v(c). Is w(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1\/4, 2, -0.51, -4\/11 in decreasing order.\nAnswer: 5, 3, 2, -1\/4, -4\/11, -0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68230315\/1102 - -61915. Let r = 331777\/5510 - k. Which is bigger: 59 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/15 + 164*o**3\/5 - 25778*o**2\/15 - 197024*o\/5 + 549152\/3 = 0.\nAnswer: -20, 4, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/65)\/(216\/58032)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + 3)\/((-5)\/2)*-305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 - 9\/((-27)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*y = -6, -2*s - 7*y = -11*y - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4038 - 4036. Let a(d) be the third derivative of 0*d + 0 - 1\/60*d**5 - 2\/3*d**4 - 32\/3*d**3 + 17*d**c. Find q, given that a(q) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5131 + 5130.7. What is the closest to 0.1 in -420, b, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9825 is divided by 379.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/12 + (-55)\/(-75). Let m(z) be the first derivative of 0*z - 2\/3*z**3 - 1\/3*z**6 + x*z**5 + 0*z**2 - 2 + 1\/2*z**4. Factor m(s).\nAnswer: -2*s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-1 - -3)*-1. Suppose -44 = -n*g + 4*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(425) + (sqrt(425) - -1*(sqrt(425) + -1)) + -1*1*sqrt(425) + sqrt(425)).\nAnswer: -45*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/18 - (-816592)\/892584)\/((-15)\/(-11))?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1793*j + 43984 = -103042 for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 14) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/3 - 2*k + 4. Let d be -9 + (-11 - (4 - 21)). Let w(v) = v**2 - 3. Determine d*m(t) + 2*w(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161838 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318.4 - 318.362. Which is the closest to v? (a) -0.3 (b) 1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 44. Let d = i + 71\/4. Let f = d - 1\/4. Is f less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/7)*j*j)**37\/(j**(1\/3)\/j**(-17)))**(-11) assuming j is positive.\nAnswer: j**(-19195\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*y**2 - 75*y**2 - 14*y + 151*y**2.\nAnswer: y**2 - 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from eekekekeedepkpkeedk?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11 + 49 = 0. Let r(z) = z**2 - 6*z - 7. Let j be r(8). Let h = j + -5. Solve 0*i = h*i + w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -3.4. Let p = 4546 - 4548. What is the closest to p in -0.2, z, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*sqrt(13) + sqrt(104)\/(sqrt(8) + sqrt(32) - sqrt(8)).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2043 and 3.\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1597105, -3194182, -4791259, -6388336, -7985413?\n\"Answer: -1597077*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188439460 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 1. Let a be (-4)\/(-6) - 1\/(-3). Let m(d) = d**3 - 5*d**2 - 6. Let q(c) = a*m(c) + 5*k(c). Differentiate q(p) with respect to p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.689695l to millilitres.\nAnswer: 9689.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)\/((h**(1\/2)\/h*h)\/h))**(22\/7)\/((h**1)**(-44\/7))**(-47) assuming h is positive.\nAnswer: h**(-26785\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 - 45 = 0. Suppose -p - q + 46 = s, 2*s = 5*p - 157. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 24) + (2 + 2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86408.\nAnswer: 2, 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7215 is divided by 267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48\/30*(-5)\/20\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22985*r**2 + 45886*r**2 - 2*r**3 - 22901*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*n**2 - 1 - n - 4*n - 3222*n**2 + 4*n - 2251*n**2 as b*n**2 + x + i*n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(2\/5))\/c*c*c*c**(-1))\/((c\/c**4)\/c**(2\/3)))\/((c*c**0)**35)**(3\/7) assuming c is positive.\nAnswer: c**(-161\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(1539) + sqrt(1539) + 2 + sqrt(1539))**2*1 - (-2*(-2 + sqrt(1539) - sqrt(1539)) - (sqrt(1539) - -5*(-1 + sqrt(1539)))**2)).\nAnswer: -972*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 6*k**3 - 32404 - 21*k + 10800 + 10803 + 10802 in the form u*k**2 + p + x*k + a*k**3 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 5 - 3)*((2 - 2 - 2)*(-2*d + 4*d - 4*d) + d - 2 + 2)*(-5*d**3 - 4*d**3 - 6*d**3).\nAnswer: 1350*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 - 1. Let s(i) = 3*i**3 + 4*i**2 - 7*i. Let w(q) = -4*p(q) - s(q). Let d(m) = -3*m**3 - 4*m**2 - 4*m - 9. Let u be d(-2). Give w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 9*x = 891. Is x a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let t be (18\/(-27))\/(a\/(-15)). Suppose t*l - 241 = -56. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 1. Let j(l) = -11*l - 2. Let z(r) = -228*r - 44. Let m(g) = 140*j(g) - 7*z(g). Give -28*i(b) - m(b).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336115919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -618*a - 40171. Calculate d(-65).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14327 is divided by 416.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 62049 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/9) - -7. Suppose -2*z + w*h - 4 = 0, z = -3*z - 3*h + 14. Suppose 3*f = -0*v + z*v + 17, f - 4 = -v. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-1 - -2 - -1). Let b(n) = n**2 - 7*n + 9. Let q(s) = s**2. Let w(z) = x*q(z) - b(z). Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -13*i + 194. Let t(z) = -4*z + 65. Calculate -7*t(x) + 2*y(x).\nAnswer: 2*x - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 + 50*z - 16. Calculate the smallest common multiple of t(7) and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) + (-4)\/8. Let g = d + 4. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(5\/15*1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bcee7 + -4?\nAnswer: bcee3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 3*z**2 - 8*z**2 - 3*z.\nAnswer: -5*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.077 + -331709.\nAnswer: -331715.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j**3 + 1718*j**2 + 6725*j - 2. Determine b(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9396 by -2349.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9807.3 + -9808.299825. Let l = -1 - v. Round l to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let d(h) be the second derivative of -67*h**3\/6 - 3*h**2\/2 - 262*h. Determine p(d(m)).\nAnswer: 67*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {r: 1, g: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 100*w**3 - 385*w**2 - 1210*w.\nAnswer: -5*w*(w - 11)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010 (base 2) to base 8.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/55)\/(i*i**25))\/(i**(18\/5))**(-2\/11) assuming i is positive.\nAnswer: i**(-1392\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 4:35 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - -0.06. Let r = -0.51 - q. Which is the smallest value? (a) 5 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -749\/3 + 108611\/435. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -17 - (-38 + 73)) + 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffjfjf. What is prob of picking 3 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 2*q + q)*(-27 + 6 + 7) - 3*q - 2*q + 3*q + (23 + 6 + 13)*(2*q - q + 0*q) in the form r + z*q and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*o - 77*o + 461*o + 4480 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {m: 1, d: 17}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -5. Let i be -1*7 - (5 + n). Let b = 5 - 15. Is b at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/120 + j**5\/10 - j**4\/12 + 37*j**3\/6 + j**2 + j - 111. Give s(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44980561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -17*r**2 - 507*r + 96. Give t(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 456 = 33*z. Let r(w) = 3*w**2 - 18*w + 50. List the prime factors of r(z).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 10:45 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -13. Let d be (-2)\/(-4)*b\/2. Let x(v) = 15*v. List the prime factors of x(d).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 15. Let a = m - 0. Calculate the lowest common multiple of a and 235\/25 - 4 - (-4)\/(-10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.99999947 + -20. Round i to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**5\/20 - i**4\/3 - i**3\/2 - i**2\/2 + 3*i. Give s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by -43336.\nAnswer: -113\/43336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*r + 31, 6*v - 5*v + 4 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**3\/3 + 2*l**2 + 6*l - 3. Suppose -3*g + 41 = 47. Let q be 16\/(-12)*-6 + g. Determine f(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 18 = 6*m - 4*m, 4*m + 4 = 4*b. Suppose 6*r = 3*r + 405. Suppose 4*q = z + r, 5*q + m*z = z + 159. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114067550*o**4 - 21796928*o**2.\nAnswer: 2737621200*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcmppamppmuausmmc. What is prob of sequence paua?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 146*a - 885. What is the hundreds digit of w(38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*r + 547*r - 1093*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 58*s + 20670 = -63*s, j = 5*s + 4118. List the prime factors of j.\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -24. What is the remainder when j is divided by 20\/3*60\/25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243555 divided by -3346?\nAnswer: -243555\/3346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/(-15))\/(6\/(-4)). What is the smallest value in 1, 0.1, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 504 and 1?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 2351*o**8\/56 - 7*o**4\/3 + 13*o**3\/6 - o**2\/2 - 31*o - 33. Find the third derivative of b(w) wrt w.\nAnswer: 282120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 198 - 18. What is the tens digit of (-992)\/u - (-6)\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28000\/(-21))\/(4 + 2590\/(-645)). Round l to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1754a - 437?\nAnswer: 17113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*i + 485, -4*t - 7*i = -4*i - 385. Calculate the remainder when 455 is divided by t.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6982803 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 60 = -5*c, -6 = -4*c + 3*c + 4*d. Let m = c + 31. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 - 3*z - 4. Let q be f(-5). Let l(o) = o - 24. Let b be l(0). Let h = q - b. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -126, -180, -234?\n\"Answer: -54*j - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 72825\/37?\nAnswer: 72825\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**4 - 86953*s**3 + 2*s**2 - 1508523*s - 2 wrt s.\nAnswer: 48*s - 521718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*s**2 + 249*s**2 - 61*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*t - 76 + 260 - 58 - 78)*(2*t**2 - 2*t**2 + t**4).\nAnswer: 15*t**5 + 48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -2*r + 5*h, 2*r - 32 = 5*h. Solve -r = 13*b - 15*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -3 + 1 - (-8 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*f + 0*f = 2867, -4*g = 2*f - 5710. List the prime factors of g.\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131981882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 5670.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-2) - 1764\/26. Let g = 711\/26 + s. What is the common denominator of 81\/22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50819609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 - 2*n + 1. Let i(d) = d. Let j be i(-5). Let f be m(j). Calculate the highest common divisor of f and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p**2 + 78603646*p + 22458184 = 0. What is p?\nAnswer: -11229092, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - ((sqrt(108) - (3*sqrt(108) + sqrt(108))) + sqrt(108)))\/sqrt(6).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 681\/8? (a) 4\/9 (b) -0.5 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34\/7 in -3, -2\/3, -0.2, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56867*i**2*v - 1009*i*v + 17 wrt i?\nAnswer: 113734*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 19*r**5\/60 + 14*r**2 - 77. Let c(u) = u + 5. Determine q(c(x)).\nAnswer: 19*x**2 + 190*x + 475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13*r - 780 = 0. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 + 7060*u**2 - 52 - 61.\nAnswer: 7060*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23556 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v - v**3 - 10*v + 23*v - 3*v**2. Let o be z(-4). Let u(l) = l**2 - 7*l + 8. Let f be u(6). Solve f*b = -o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**34)**(-14\/9) assuming o is positive.\nAnswer: o**(-136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-2)\/8)\/(12\/48)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - 12*j**2 + 195*j + 10. What is the units digit of p(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/20*-16*315\/(-672) - (-3 + -65).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -29, -39, -51, -65, -81?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 57. Let y = 1 + 8. Calculate the least common multiple of z and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-4))\/(465\/100). Let p = 207\/62 - i. Suppose 5\/2*a**2 + 3\/2 + p*a + 1\/2*a**3 = 0. What is a?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 = -5*f, -5*f + 20 = -3*t - 2*t. Sort 20, 1, -5, t.\nAnswer: -5, t, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 1:24 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 7*a**5\/60 - 23*a**3\/6 - 19*a. Let n(g) be the second derivative of j(g). Let t(l) = -2*l**2. Give n(t(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 11*g**4\/24 - 3*g**3\/2 - 4*g**2. What is the first derivative of d(j) wrt j?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*h + 639, -145 = 2*l - 2*h - 749. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*d**2 - 699685*d + 10665545 = 0. Calculate d.\nAnswer: 61\/4, 34969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7586841 (base 9) to base 11\nAnswer: 2332018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -64*c**3 + 320*c**2 + c + 2. Determine t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -d2aa9?\nAnswer: -d2aae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5\/9 + 19156*n**4\/9 - 45271232*n**3\/9 - 2863538624*n**2\/9 - 41671946240*n\/9 + 95159910400\/9 = 0.\nAnswer: -32, 2, 4820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**6\/120 - 29*n**5\/20 + 35*n**4\/6 + 26*n**2. Find the second derivative of p(r) wrt r.\nAnswer: -6*r - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*g - 3731, -8*g - 7434 = -2*m - 5*g. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864659 less than -4?\nAnswer: -1864663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5 + ((sqrt(100)\/sqrt(5))\/sqrt(4))**2 + -3)*-6 + -4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16*1 + 5\/((-15)\/9). Suppose 3*w + 1 = m. Suppose 4*z = -w*d + 40, 6*z - 2*z = d - 30. Which is greater: d or 13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20730 - -31032. Calculate the least common multiple of 12 and p.\nAnswer: 20604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 2, b: 6, z: 1}. What is prob of sequence yb?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**5 - 9*o**5 + 8*o**5 + (-2*o - 6*o + 0*o)*(4*o**2 - 4*o**2 - o**2)*(-6*o + 10*o**2 + 6*o).\nAnswer: 82*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456330 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 - 206. Suppose -90 = h*g - 7*g. Let q(l) = 22*l**3 + 10*l**2 + 10*l - 16. Let z(m) = 7*m**3 + 3*m**2 + 3*m - 5. Calculate g*z(v) + 3*q(v).\nAnswer: -4*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**3\/3 + 2*v**2 + 1. Let w be u(-3). Let a be w\/2 - (-9)\/6. Which is smaller: 2\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -141*v**2 - 5*v + 35. Let l(m) = 35*m**2 + m - 9. Let g(k) = 2*c(k) + 9*l(k). Let t be g(-5). Suppose 5*j = t + 836. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39927 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**7\/5040 - u**5\/10 - 3*u**2. Let c(m) be the third derivative of h(m). Let t(k) = 3*k. What is c(t(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1242138367+-2.5\nAnswer: -2.6242138367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34619*f**3*q**2 + f**3*q + 2*f**2*q**2 + 194*f**2 - 87*f*q**2 - 1 wrt f.\nAnswer: 207714*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 937215 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 2*m**2 - 3*m**2)*(-2 + 3 - 3) + 25*m - 52*m**2 + 96*m**2 - 45*m**2.\nAnswer: -5*m**2 + 25*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 252 = -m. Let i be (-62)\/(-3) + 2\/(-3). Is 207\/m*i\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**3 + 3230*k**2 - 560180*k + 21739720 = 0.\nAnswer: -794, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-12)\/16*2*(-24)\/18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(5\/(5\/2)). Suppose 10 = 3*l + 2*l. Suppose 81*y - 12*y - 3220 = -92*y. Solve s = 2*z + l*z + y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 18326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-36)\/(-270)*-12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, -1\/43, -3.47, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 392, 900, 1524, 2264, 3120?\n\"Answer: 58*a**2 + 334*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 - 3*d**3 + d**3)*(-25*d**2 - 5 - 19*d**2 + 2*d + 46*d**2).\nAnswer: 2*d**5 + 2*d**4 - 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(-3*q + 3*q + 2*q) + 96308*q - 96296*q + 25 + 458.\nAnswer: 10*q + 483","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2206810 - 2201010 = 50*k for k.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.16 * 3\nAnswer: -3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3105 + 3110. Let o(m) = -m + 6. Let a(z) = 3 - z + 8 - 4. Give b*o(c) - 4*a(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*h, 2*c + 0*h - 4*h = 24. Let f be 27\/c - (-4)\/(-8). Solve -2*g - 4*y = 6, 4 = -3*g + f*y - 5*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -266769 + 126711. Let x = 333758 + h. Let f = 134700 - x. What is f rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28065409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-9) - 1\/3. Suppose l*p + 3*f - 622 = f, 5*f = -3*p + 628. Suppose 5*k - p = 779. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**6\/8 + 3*u**5\/20 - 3*u**4\/16 - u**3\/4 - 22. Factor x(y).\nAnswer: 3*y**2*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x. Suppose -3*g + 3*m + 15 = -5*g, 2*g = -m - 9. Let n be 76\/5 + g\/15. Let z(a) = 8 - n*a - 8. Determine -13*w(b) - 6*z(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3720930 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (222\/(-3) + 4)*(-234)\/18 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9+0.27\nAnswer: -1.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -9. Let m be (0*2\/y)\/(-2). Let n = m - -4. Solve -3*z - o + n = 0, -5*z = 4*o - 5 + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2963050 is divided by 7696.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4747.098 decades to months.\nAnswer: 569651.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*869\/651 - -4. Is -1 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/24*(-7392)\/(-9702).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2793 + -954?\nAnswer: 1839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 161*l**2 - 1162*l - 2493. Calculate a(168).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*u - 0 + 2, 3*c + 7 = -4*u. Let a be 11\/(-33)*u*-3*1. What is the closest to a in 2\/5, 19, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 103*o - 6. Let d be l(7). Let a(s) = -551*s**2 + 29205*s - 51. Let m be a(53). What is the greatest common factor of d and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-7)\/112*-9)\/((-2409)\/146)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**37\/a*a*a*a*a)\/a*a\/a**(2\/33) assuming a is positive.\nAnswer: a**(1318\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/16 + 2\/8. Let t(w) = -4*w + w + z*w. Let g(c) = -2*c. What is t(g(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9164022 by 21.\nAnswer: -436382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = -d + 725, -3*d + 5*p + 2141 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16434 - 16433.4149. Round j to two decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + c + 4*c)*(3 - 1 + 0)*(-4*c + 2*c + c) in the form a*c + p*c**2 + h and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.99 * 10940.\nAnswer: 10830.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3893456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 - 5*o**5 + 430*o**4 + 746*o**2 - 52*o + 2?\nAnswer: -120*o**3 - 300*o**2 + 10320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d - 4*k + 2278 = 0, 3*d = 5*k + 2323. Suppose 0 = -b - 5*g + d, 0 = 4*g - 10 - 2. Is 57 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78046799 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 + 19 - -50) + -7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(((-306)\/17)\/(-540)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 5478495*m + 230087970.\nAnswer: 5*(m - 1095657)*(m - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(99))*3 - (-1 + sqrt(99))**2*-6)*4.\nAnswer: -108*sqrt(11) + 2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1942 = -116*u + 202 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-16))\/(2\/3). Let l = 372 - 2600\/7. What is the third smallest value in p, 3\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*(u*u**(-4\/11)\/u)\/u)**(2\/21) assuming u is positive.\nAnswer: u**(-71\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 8 = -2*t. Calculate the remainder when (t\/(-3))\/(1\/18) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 = 14. Let u = k + 6. Suppose u*a = -2*a + 105. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*k - 12, -4*l - 9 = -3*k + 13. Solve -18 = 3*b - 2*p, p - 5 = 2*b + k*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 14*z**4 + 8*z**3 - 5*z**2. Let r(m) = -m**3. Let f(b) = -24*r(b) - 3*v(b). What is the third derivative of f(u) wrt u?\nAnswer: -1008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 170\/(-612)*(2 - 77) and 20\/239?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290855 divided by 55?\nAnswer: -58171\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1040501 or 1040502?\nAnswer: 1040501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 65, 71, 87, 119?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 + -59. Suppose 4*o - x = 38. Let a = 21 + -13. Calculate the remainder when o is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 0 - 2\/3*t**4 + 80\/3*t + 34\/3*t**3 + 116\/3*t**2 = 0.\nAnswer: -2, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s + 59*s = -96 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12773)\/9 + (-10)\/(-45). Let b be (4\/(-2))\/((-22)\/g). Let c = b - -272. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n - 3*n. Suppose -2*f - 3*l + 12 = l, n*f + l - 15 = 0. Suppose 28*c - 34*c = -6. What is the greatest common divisor of f and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-530)\/(-40) + (6\/8)\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, 4, 53, 23 in descending order.\nAnswer: 53, 23, 20, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -12*h**2 - 21*h + 13. What is the remainder when a(-4) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 119 (c) 1\/4 (d) -4 (e) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(272))**2 + (2*sqrt(187))\/sqrt(11) - (sqrt(136) - ((sqrt(136) + (sqrt(136) - (sqrt(136)*-3 + sqrt(136))))*-2 + sqrt(136)))\/(-6*sqrt(32)).\nAnswer: 8*sqrt(17)\/3 + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujjuuuuuuuuuuuuuu. What is prob of picking 2 u?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 19*v - 5. Let g(j) = -76*j + 19. Let f(a) = 5*g(a) + 19*m(a). Let l(d) = -12 + 24 - 12 + 9*d. Determine l(f(x)).\nAnswer: -171*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255 + -236. Suppose 4 - 32*k - l*k - k + 76*k**2 + 8*k - 37*k**3 + k**3 = 0. What is k?\nAnswer: 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5596*z - 50460. Determine u(9).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -2, 34, -6, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2403*n**3 - 9*n**2 + 60*n + 12. Let t be g(6). What is t rounded to the nearest 10000?\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(120\/(-126)))\/((6\/(-4))\/3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**3 + 3*s**2 - 3*s**2 - 33*s**3.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -5 (c) -0.2 (d) 2298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0 + 0)*(-3*w - 3*w - w + 2).\nAnswer: 14*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(972))\/sqrt(6)*6 + (sqrt(1200)*-2)\/(3*sqrt(24)\/sqrt(4)))**2.\nAnswer: 184832\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/3 + 4420*u**3 + 7334982*u**2 + 87807752*u\/3 = 0 for u.\nAnswer: -3313, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1060 + -1046. Solve h*j - 3 = 15*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/120 + 59*o**3\/6 - 77*o**2. Let t(h) be the first derivative of u(h). Let r(b) = -5*b. What is t(r(v))?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2 + 0)\/(4 + (-552)\/136) and 85?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*y + 4 = b, 0 = 3*b - 2*y + 4. Suppose -5*q + 3*u + 74 = 0, 3*u - 22 = -q - b*q. Let k be ((-52)\/24)\/13*q. Are -3 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 59. Differentiate -8*t**2 + 27 - 4 + u*t**2 with respect to t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 146.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**5 - 41*f**4 + 326*f**6 - 280*f**6 + 975*f**2 - 252*f**2 + 41*f**4 wrt f.\nAnswer: 5520*f**3 - 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s**2 - 2 + 2*s)*(-16*s + s - s).\nAnswer: -32*s**3 + 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-18)*(-54)\/36*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 5:56 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1968 and 9717?\nAnswer: 155472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3151353 decades?\nAnswer: 0.003151353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2 - (-7416)\/16. Round m to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - 8. Let m be (-2)\/(-14) - r\/(-14). Which is the second biggest value? (a) -2 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3036, 2837, 2634, 2427, 2216, 2001, 1782?\nAnswer: 1559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 16735 (b) -3\/4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 4*s**3 - s**2 - 42*s. Let l(c) = -97*c + 9. Calculate 2*l(b) + 9*x(b).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - 1. Let y(v) = -v**3 - 18*v**2 + v + 13. Let s be y(-18). Put c, s, 2 in decreasing order.\nAnswer: 2, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 10. Suppose -f*d + 43 = 39. Sort -5, d, -7 in increasing order.\nAnswer: -7, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -w + g + 2, 5*g = 2*w - 4. Suppose 230 = -w*x + 7*x. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -1666, -3551, -6130, -9403, -13370?\nAnswer: -18031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*z - 24 = 0, 3075 = -820*i - 5*z + 3115 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 5*u**2 + 5*u + 5. What is k(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 413*x - 1251*x**2 - 1 + 5501*x**3 - 4246*x**3 - 419*x**4 + 3.\nAnswer: -(x - 1)**3*(419*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.645, 0, -2.12?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5136*i - 16235. Calculate v(-3).\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((8 - 0) + -14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 1479650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*u + 1 + 44 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 825 divided by 275\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228)\/(-285))\/((-68)\/(-10)*1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 901065 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 84*n + 65*n**2 + 46*n**2 + 78*n to the form q + v*n**2 + h*n and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12260400.\nAnswer: 2, 3, 5, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (-98)\/21 + (-770)\/6. Let t = w + 893\/7. Which is the fourth biggest value? (a) -0.6 (b) t (c) 1\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8663826 + 5?\nAnswer: 9.8663826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4823950210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/15538264 and -91\/664?\nAnswer: 15538264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8220.050844 rounded to the nearest ten?\nAnswer: -8220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 652 - 172. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + d**2 - d + 1. Let z(p) = 6*p**3 + 24*p**2 + 36*p + 14. Let k(v) = b(v) + z(v). Solve k(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - 8\/3. Let l be (-12)\/10 + 2\/10. Let z be 0\/l - (-4)\/2. Which is the closest to 3? (a) z (b) w (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Solve g = 3*w - 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 78*d - 290. Let r be p(-4). Solve 4*u - 3*l - 8 = -0, -2*u + 4*l = r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zell when four letters picked without replacement from {s: 3, z: 7, l: 3, e: 2}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 + t**2 - t + 5. Factor p(z).\nAnswer: -(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98629.\nAnswer: 19, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9569, 1\/7, -55.\nAnswer: -9569, -55, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28207819 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -785 + 0.2?\nAnswer: -784.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -4)*((-4)\/10)\/(5\/(-50)). Let b(h) = 11*h**2 - 31*h - 6. Let d(n) = 5*n**2 - 15*n - 3. Let l(o) = -6*b(o) + 13*d(o). Give l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -20. Let s = 28 + -5. Let f = s - 22.7. What is the biggest value in 3, o, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*b + 10*b - b + b + b + 0*b + (-3*b - 2*b + 3*b)*(-2 + 1 + 0) + 1 - 1 + 2*b - 1 + 1 - 2*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258124, -258186, -258286, -258424?\nAnswer: -258600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) 3\/4 (c) 2.03 (d) 1\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaacsaaajsjjjjjsjjjs. Give prob of sequence cass.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 854725.6kg?\nAnswer: 854725600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.017 times 121.669\nAnswer: -123.737373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((-724)\/(-66) - 11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106676.\nAnswer: 2, 26669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 72 = 0. Let a be (d\/(-10))\/(9\/(-45)). Let u(y) = 2*y - 10. What is the units digit of u(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3954, 3956, 3958?\n\"Answer: 2*g + 3952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 0*n - 6039. List the prime factors of n.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3081*l**3 - 7228*l - 115474376.\nAnswer: 9243*l**2 - 7228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l. Let x be w(-1). Suppose -t + 4*q = -19, x*t - t + q = -16. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(3\/4)\/m)*m\/m**(2\/31) assuming m is positive.\nAnswer: m**(271\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17635\/263 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxrrxrrrx. What is prob of sequence xr?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3117 + 693 = 6*w. Let j = w - -618. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12480 + -12191. Put o, 2, -7 in decreasing order.\nAnswer: o, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.9. Let y = q + 1. Let k = 4.15 - 4.35. Which is the biggest value? (a) k (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-15))\/(2\/45). Let a be 10\/45 + 194\/i. Calculate the greatest common factor of a and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2582424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, r: 1, h: 1, c: 2}. Give prob of sequence vv.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v**3\/4 + 353417*v**2 + 1413675*v\/4 = 0.\nAnswer: -1, 0, 1413675\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356033145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-5) + (-2)\/(-5). Let o be ((-12)\/10)\/((-3)\/(-15)). Let k be (-14)\/21 - 22\/o. Put -4, p, k in descending order.\nAnswer: p, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001332184286 rounded to 5 dps?\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/19 + -29\/304. Let f be (-3)\/((-8)\/(-4) - -5). Sort f, -0.5, u, -3 in descending order.\nAnswer: u, f, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 280, 1849, 6022, 14101, 27388?\n\"Answer: 217*x**3 + 50*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1393, 2297, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 87, -7.\nAnswer: -7, 6, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515462?\nAnswer: 2, 257731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 86783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d - 3 + 5*d + 2*d - d**2. Let o(r) = -4*r + 2. Suppose 2 + 0 = v. Determine v*a(i) + 3*o(i).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxjjs. Give prob of picking 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 1. Let i(r) = 10*r**2 + 34. Let s(f) = i(f) + 5*j(f). Let w(t) = 10*t**2 + 19. Let c(y) = 5*s(y) - 7*w(y). Differentiate c(k) wrt k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71? (a) -2\/9 (b) 454 (c) -0.3 (d) 90\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 392 - 329. Which is bigger: g or -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 882 and 4599.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 20*w**2 + 7*w - 136. Let h be 135 - 109 - (0\/7 - (-8 - -2)). Calculate y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 15 = -3*d, -5*d = -2*p + 16 - 41 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2\/9, 0.41, 2, 4, -0.7, 4.723?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 3*o - 60586, 0*k - 2*o = -k + 60606. Suppose k = -4*z - 13758. Let w = -501979\/27 - z. Calculate the common denominator of -20\/27 and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -439*o + 397. What are the prime factors of x(-7)?\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(704) + (sqrt(30)\/(sqrt(30)\/sqrt(3)*-3))**2 - ((6*(sqrt(3) - -2*sqrt(3))*4)**2 + sqrt(9)\/sqrt(48) + 3).\nAnswer: -46664\/3 - sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, z: 8}. What is prob of sequence zbz?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6584*h*y**3 - 8*h*y**2 + 65*h*y - 4*h - 3*y**3 - 2*y**2 + 11 wrt y?\nAnswer: 39504*h*y - 16*h - 18*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, q: 13}. What is prob of sequence mm?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.56 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d - 1924 + 1924.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1011 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(3*sqrt(5)*6).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*y - 82*y + 4*y**3 - 4*y**4 + 5*y**4 in the form m*y**4 + a*y + w*y**2 + j + f*y**3 and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 53 + -11 + (3 - (3 - 0)). Suppose -10 - 14 = 4*y. Let i be 3 + 3\/(y\/(-50)). Calculate the greatest common divisor of a and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36486517 to 4 dps.\nAnswer: -0.3649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -25*q + 77. Let n(v) = 5*v - 16. Let r(b) = -2*c(b) - 11*n(b). Calculate r(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14812898 by 172243.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 m when two letters picked without replacement from {d: 9, m: 2}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*r**2 + 2*r + 444 wrt r?\nAnswer: -22*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 2*j**2 + 120*j + 376. Determine p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 61, 128, 205, 298, 413, 556, 733, 950?\n\"Answer: z**3 - z**2 + 63*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3957604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1881 (base 10) to base 11.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5163749975785 and -3.\nAnswer: -5163749975788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9793 less than -0.2?\nAnswer: 0.7793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3563*l**2\/2 + 8711*l + 4947. Differentiate t(z) with respect to z.\nAnswer: 3563","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + x - 305 = 0, 0 = -3*x - 3000 + 2991 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374024764 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -36. Suppose -4*z + a*z = z. Solve 1 = -3*d + 4*h - 7, z = -4*d - h + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) -0.1 (b) -2 (c) -7\/5 (d) -0.014 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*b = 32, 5*g = -0*b - 2*b + 31. Let a = 227 - 224. Suppose -5*x - 11*x = a*x. Solve x = -2*y - g*n - 3, y = 6*y - 5*n - 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1149*t**2 - 1168*t**2 + 3*t - 3*t.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:04 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34, -35, -36, -37, -38, -39?\n\"Answer: -z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2418 + 2194 = -56*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 44, -268718 in ascending order.\nAnswer: -268718, 0, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-8 - (-25 + -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -69. List the prime factors of w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 145. Let m = v - 17. Let q be (-16)\/(-88) + (-84)\/(-22). Solve r - q*r = -m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2*v**2 - v - 21. Let k(b) = -5*b - 1. Calculate 3*i(o) - 2*k(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 5*h - 6. Calculate the remainder when 260 is divided by d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 160 + (0 - -6)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 7*c + 0 + 1\/6*c**3 - 1\/2*c**2. Let s be h(4). Calculate the greatest common divisor of s and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 16. Let l be n(16). Let b(v) be the first derivative of -2 + 0*v**2 - 1\/6*v**6 + 1\/4*v**4 + 1\/5*v**5 - 1\/3*v**3 + l*v. Factor b(a).\nAnswer: -a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*n - 1 = 10, -3*w - 5*n = 7. Let o(v) = 57*v**2 + v + 16*v**2 - 1 - 27*v**2 + 35*v**2. List the prime factors of o(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 + 1 = 0. Let y = u - -1. Suppose 0 = -y*x + 7*x - 3*m - 13, 4*x = m + 9. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22236763 (base 8) in base 15?\nAnswer: -64c342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - (-4 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 7:55 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 33*v + 32 + 16*v + 20*v.\nAnswer: 3*v + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1361.5 - -1361. Let c = -16 + 16. What is the fourth smallest value in o, -2\/11, c, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:43 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29\/81 - -203\/162. Let h(b) = -b**3 - 7*b**2 + 19*b. Let s be h(-8). Find the common denominator of q and 328\/(-42)*(-33)\/s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 5. Suppose -b*y = -y. Solve y = -c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a + 10. Let t be (3 + 6\/(-6))\/((-2)\/3). Let c(h) = -10*h + 11. Let m(n) = t*c(n) + 4*d(n). Suppose -3*i = 2*i + 25. Calculate m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - (-1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 w when three letters picked without replacement from nypppynwpyyyywpyyy?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.232 to the nearest integer.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 18 = -2*p. Find the second derivative of -x**4 - 3*x**4 + p*x - 9*x**4 wrt x.\nAnswer: -156*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 8265717?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 - 146. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 25375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - -2c5603?\nAnswer: 2c55b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14687653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-30)*(7 - 3). Let y = -4 + 2. What is the nearest to 3\/2 in -0.2, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s\/(s**(1\/4)\/s))\/s)\/s)**(2\/63)*(s*s\/s**(-2\/21))\/(s**5*s) assuming s is positive.\nAnswer: s**(-163\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5774.2686 plus 0.27?\nAnswer: -5773.9986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -3114 and -9341\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 3.50963913?\nAnswer: 3.40963913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 78.063. Let t = -36.073 + 48.61. Let r = x + t. Round r to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 2 + (-9)\/3. Is 20 + (o - (-4 - 2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298854.\nAnswer: 2, 3, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 66*l + 248. Let w be x(62). Let s be (0 - 1) + 14 + -2. Suppose s*u + 21 - 120 = w. Solve 4*j + u = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0 - 15*j + 1\/20*j**5 + 1\/2*j**3 + 3\/2*j**2 - 1\/12*j**4. Give o(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8 - 2 - 5*d - d**2 - 3. Determine y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 156 = -3*w, 0*w - 208 = -4*n - w. Suppose -178 - n = -5*k. Differentiate -k - 28*g**4 + 13 + 24 wrt g.\nAnswer: -112*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131236 = 325*b - 411*b. What is the least common multiple of 981 and b?\nAnswer: 13734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90790 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 948 = 8*t. Let o = t + 176. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 890*c*m - 390*m - 1 wrt c?\nAnswer: 890*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.334263 kilograms in tonnes?\nAnswer: 0.003334263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-1 + -1)\/(27\/36). Let q = x - 58\/39. What is the second biggest value in 0.3, -3\/4, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -395, -589?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 w when three letters picked without replacement from qajwhjjwrjaa?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4094, -1, -212 in descending order.\nAnswer: -1, -3, -212, -4094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1265*s**2 - 373176*s + 278. Give k(295).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 37. Let s be w(6). Let g = s + -6. Put 9, -2, g in descending order.\nAnswer: 9, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.066 in -4, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from rgrrggrrrrrgrrgrrg.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-83)\/9 + (-1)\/((-9)\/2). Let u(a) = 8*a**2 + a**3 - 3 + 19 - 8*a + 0*a. Let b be u(m). Solve k = -5*l - 23, -2*k + 3*l - 1 = -b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -1052001225?\nAnswer: -1052001233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 26*i - 1377. Give a(35).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = w, 3*w - 4*w = -4*g - 623. Let f = g - -301. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -247*z**2 - 4*z - 13. Let r be b(-4). Let c be (-2)\/(-3) - (-190130)\/(-48). Let h = r - c. What is the common denominator of 48\/11 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**3 - j - 1. Let x(t) = -t**3 - 4*t**2 - 3*t. Let s be x(-2). Is n(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (2*sqrt(264)*-6)\/sqrt(6) + 2).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10694, 43161, 97260, 173003, 270402, 389469?\nAnswer: 530216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692053 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1276*a + 19127. Determine v(13).\nAnswer: 2539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 672*l**2 - 124 - 782*l**2 + 54.\nAnswer: -1454*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 9*g - 25. Suppose -115*p + 4244 = -112*p + 4*d, 5*d = g*p - 7120. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32557875 is divided by 1444.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/10)\/3*-6. Let b(j) = 4*j**3 - j**2 - 8*j + 7. Calculate the remainder when b(g) is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -8 (c) 59 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/9 - 568*o**2\/9 - 2*o\/9 + 568\/9.\nAnswer: 2*(o - 284)*(o - 1)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 91, 0.081, 4?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -4, -77 in descending order.\nAnswer: 3, -2, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 39116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkffffff. Give prob of sequence fk.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -k + 74, 3*k - 6 - 36 = 3*a. Let l be ((-152)\/10)\/(6\/a). Suppose -62 = -3*w - 4*c, 4*c - 2*c = -2*w + l. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 + 769*p + 3 - 308*p.\nAnswer: 461*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) + (-12)\/(-9). Let i(n) = 2*n. Let r be i(q). Suppose 4*p - 72 = -4*c, -c - c + 40 = r*p. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*j + 33, 6*j = 3*b + j - 37. Suppose 4*z = 4*r - 388, -b*z = -17*z - 15. What is the remainder when r is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2474693.\nAnswer: 13, 19, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/7 - 2151711*q\/7 + 25820100\/7.\nAnswer: 3*(q - 717225)*(q - 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401304002 (base 5) in base 4?\nAnswer: 12003230202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 51 = -226. Let y(o) = o**3 + 5*o**2 - 5*o - 2. Let w = -258 + 254. Let b be y(w). Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2842, 22790, 76928, 182350, 356150, 615422, 977260?\nAnswer: 1458758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 - 1375*b - 4582\/5.\nAnswer: -(b + 2291)*(3*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454, 911, 1372, 1837, 2306, 2779?\nAnswer: 3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2981*b**4*x**3 + 22*b**4*x**2 - 249*b**2*x**3 - 155*b**2*x wrt b?\nAnswer: 71544*b*x**3 + 528*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1\/7, 1.4008?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 539632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 6*x - 3*x + 347, 2*l + 5*x = 193. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -40*x**2 - 2*x + 1. Let z(y) = y**2 + y - 1. Give h(l) + 2*z(l).\nAnswer: -38*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 20. Suppose -5*k + 0*w + 592 = -w, -4*k + r*w + 467 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/65841 and 163\/20193822.\nAnswer: 343294974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/141 in -391, 2\/3, 1\/9, -4\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**8\/336 - p**4\/8 - 2*p**3\/3 + 4. Let j(o) be the third derivative of q(o). Differentiate j(y) with respect to y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3 - 18\/(-4)). Factor -r + i**4 - 2*i**3 + 15*i - 11*i + i**4 - 2*i**3.\nAnswer: 2*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233.0106 - 0.0106. Let r = -236 + u. Put r, 4, -4, 0.4 in decreasing order.\nAnswer: 4, 0.4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -104\/9 (b) 3\/7 (c) 1\/6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**2 + 3*z - 1 - 1\/3*z**3. Let i be -3*1*(0 + 1). Determine f(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*t - 10 + 61*t + 9 + 45*t**2)*(2*t - t + t + (5 - 3 - 3)*(2*t + 0*t + 9*t)).\nAnswer: -405*t**3 - 18*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353603658, -353603654, -353603648, -353603640?\nAnswer: -353603630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85117\/7 + -12160. What is the nearest to -3\/4 in 47, 0.03, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3919.93872 - -3920. What is h rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18518*k**6 - 3*k**5 - 2*k**3 - 313102*k**2 wrt k?\nAnswer: -2222160*k**3 - 180*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a = -21. Let w = a - 13. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 618, 2460, 5534, 9846, 15402, 22208, 30270?\n\"Answer: f**3 + 610*f**2 + 5*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001892 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 772602.\nAnswer: 1\/386301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8578, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/4 - -1)*(116 - 118). Factor 2*f**2 - 10\/7*f**u - 8\/7 + 16\/7*f.\nAnswer: -2*(f - 2)*(f + 1)*(5*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2328 and 249678?\nAnswer: 998712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.080528 - 3.\nAnswer: -4.080528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1641 (base 10) to base 7.\nAnswer: 4533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**3 + 44*w**3 + 25*w**3.\nAnswer: 51*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*w - 9238 = -2718, -3*x + 3*w + 3900 = 0. Suppose -x = -5*n + 4*n + y, -20 = 5*y. List the prime factors of n.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-750)\/(-75))\/(2 + (-10)\/4 - -1). Suppose -3*y + 16 = 1. Solve 2*r = y*a - v, -4 = -5*r - 4*a + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391069 is divided by 169.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.2942 + 60.2486. Let b = -51 + p. Round b to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.1031688477 + -0.1031693577. Let w = -23 + a. Round w to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261 + -258. What is the greatest common factor of 4 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -5*h + 34 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3492 + 3442 = -10*h, 4*h = -4*y + 32 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*h - 570, w + w - 3*h - 274 = 0. Suppose -n - 5*d + 35 = 0, 2*n + 2*d = -9 + 79. What is the highest common divisor of w and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12435 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:16 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/12 and (-7)\/55818*-95031 - 12?\nAnswer: 5316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 2*o**7\/105 + o**6\/10 - 2*o**4\/3 + 21*o**2. Find q such that j(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/3 + 264\/(-72). Let j = 40 + -60. Let k be j\/d + (-14)\/3. Which is the closest to -1? (a) -1\/7 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Let d = 2.98 - -0.02. Sort d, 1, k in decreasing order.\nAnswer: k, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/7 + 4*z**3\/7 - 40*z**2\/7 + 48*z\/7 = 0. What is z?\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -88. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 4. Let u be z(4). Let v be (-1)\/u + (-7)\/(-28). What is v rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -26*p. Let b(z) = z. Let s(t) = -26*b(t) - 2*u(t). Let q(h) = h**2 - 17*h - 22. Let a be q(-10). Let j(y) = -129*y - 121*y + a*y. Give s(j(v)).\nAnswer: -52*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + o**2 + 8*o**2 - 6*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 8*u - 3. Let i be j(6). Suppose -320 = 3*x - 4*x. Suppose -57 = -b - 5*c, 4*b + c + 35 = x. Calculate the highest common divisor of b and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -11*r + 6*r + c, -20*c = 2*r - 16*c + 27 + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 20*y - 17. Let w(r) = 7*r - 6. Calculate 6*t(h) - 17*w(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/23 (b) -4 (c) -2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.627877us in hours?\nAnswer: 0.0000000098966325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(208) + 4*(sqrt(208) + -1) + sqrt(208) + 5))**2.\nAnswer: 1728*sqrt(13) + 269604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8978 or 182?\nAnswer: 0.8978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (14 - 5 - 6) + -16 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3be + -5?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - 0.007. Let x = 4.709 + -0.986. Let v = x - n. What is v rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -6389*j**5\/10 - 3696*j**2 + 2204*j. What is the first derivative of y(g) wrt g?\nAnswer: -38334*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 26241*n**3 + 7 - 2*n**4 - 26247*n**3 to c*n**2 + o + p*n + r*n**3 + b*n**4 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685, 1359, 2013, 2641, 3237, 3795?\nAnswer: 4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 6.4, 10 in decreasing order.\nAnswer: 10, 6.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 219. What is the highest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18254257?\nAnswer: 7, 31, 84121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7273*q**2 - 6*q - 15. Is p(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**5\/30 + 3*o**2 - 18. Let g(v) = v**2 - v. Let c(s) = -164*s**2 + s. Let u(z) = -c(z) - g(z). Determine y(u(t)).\nAnswer: -53138*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = 3*h - 3*v, 3*v = -6*h + h - 441. Let i = 83 + h. Let r be 1\/1 + 11\/(-7). What is the third smallest value in r, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 5*n. Suppose -3*j + 2 = -19. Let o(f) be the third derivative of -f**6\/120 - 5*f**4\/24 + 5245*f**2. Determine j*o(a) + 6*b(a).\nAnswer: -a**3 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {f: 1, n: 1, i: 2, m: 3, d: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1114278, -1114292, -1114318, -1114362, -1114430, -1114528, -1114662?\n\"Answer: -z**3 - 7*z - 1114270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/4 + (-57)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 117\/2 (b) 0.3 (c) -0.2 (d) 4\/7 (e) 3\/5 (f) -1\/3 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:46 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 10.9. Let u = 2.8 - 3.06. Let g = u + 0.06. Which is the closest to h? (a) -2\/19 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53142 + 40?\nAnswer: 53212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**3\/3 + 3. Let u(v) = 0*v**2 + 5*v**2 - 3*v**2. Calculate u(w(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/75 - j**4\/10 - 8*j**3\/15 + 2*j**2. Factor g(k).\nAnswer: 4*(k - 4)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -32*o**3 - 3*o**2 + 3*o. Let m(r) = 672*r**3 + 64*r**2 - 64*r. Calculate -64*l(z) - 3*m(z).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/14 and -1\/810.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 55*p**3 - 22*p**2 + 59*p + 3. Let a(d) = 37*d**3 - 15*d**2 + 39*d + 2. Let b(r) = 8*a(r) - 5*i(r). Is b(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 14*w**2 - 2\/3*w**4 + 30*w - 2\/3*w**3.\nAnswer: -2*w*(w - 5)*(w + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29.3, -0.001, 2, -1\/4, -7\/2 in descending order.\nAnswer: 29.3, 2, -0.001, -1\/4, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 526 - 3?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**(-4))\/r*r)\/(r*(r*r**(-3\/4))\/r*r)*(r\/r**(-6))\/r*r*r**1 assuming r is positive.\nAnswer: r**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**3 + 116*c**2 - 781*c + 17434. Determine t(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/112 and 149\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m. Solve m*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 + 367\/4. Let l be (-2 + (1 - -1))*1. Suppose -y - 3 + 4 = l. Is g less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1.51 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 27*p**2 - 2*p + 46. What is n(27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 330 - 606250\nAnswer: -605920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -418084.9 rounded to the nearest 1000?\nAnswer: -418000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 3. Let t = k + -2. Suppose 5*g - 286 = t*g. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1068055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7514180 + -0.12584.\nAnswer: 7514179.87416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c - 6. Let w be c + (3 - (0 - -4)). Suppose 2*m + 3*d = -3*m + 2026, -w*m = -d - 2038. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-4 - 0 - -9) - -2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-8)*324\/1215?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)\/sqrt(8) - sqrt(2)*-2*-2) + (sqrt(18) - -2*sqrt(1458))\/(-2*sqrt(324) + sqrt(324)))**2.\nAnswer: 49\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**1)**32)**(-28))**(-7\/5) assuming u is positive.\nAnswer: u**(6272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2705.058l?\nAnswer: 2705058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -30, -82, -190, -372, -646?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1617 and 125\/151998.\nAnswer: 151998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -560370 divided by 112074.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9077 - -0.5?\nAnswer: -9076.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1577232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/8 (b) -25 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 28, 90, 178, 292?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 4*a - 4. Let n(b) = -2*b**2 + 7*b - 7. Let i(l) = 4*n(l) - 7*t(l). Let y(x) = -2*x**2 + x**2 + 0*x**2. Give i(y(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 481*x**6\/120 - 63*x**4\/8 - 97*x**2 - 1. What is the second derivative of u(g) wrt g?\nAnswer: 2886*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -23*g**4\/12 + 8*g**3 - 59*g**2. List the prime factors of c(-7).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2. Suppose 14 = 50*w - 43*w. Let a(q) = -11*q**2 + 26*q**w - 13*q**2. What is a(k(d))?\nAnswer: 72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5376\/468 - 4454\/393.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -927 = -43*t - 60*t. Calculate the greatest common divisor of t and 1143.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 6*b + 1. Let k be r(-6). Let u(f) = -2 - k - 2*f**2 + 3*f**2. Let c be -1 + -1 + 32\/4. Let s(j) = 2*j**2 - 7. Give c*s(n) - 14*u(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5\/6, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326654 is divided by 840.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3*108\/1701)\/((-3)\/(-14))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**5\/60 + y**4\/8 - y**3\/3 - y**2 + 42. What is s in f(s) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10440000 to the nearest 100000.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 2. Let l be b(0). What is the tens digit of l\/(-4) - (-77)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3086*d = 695*d - 4972*d + 1032*d + 158275 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-three fifths of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*z - 28 = 0, 3*z + 6 + 9 = 0. Let h be (-228)\/(-42) + a\/(-14). Solve -2*f - 11 = 5*w, 3*f + w - h = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h + 90*h**2 + 21*h**2 - 38*h + 25*h**2.\nAnswer: 136*h**2 - 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2*a**2 - 6*a - 7. Let p be w(-1). Find the third derivative of 78*n**p + n - 4*n**6 - 2*n - 17*n**2 - 3*n**2 + 6*n**5 wrt n.\nAnswer: -480*n**3 + 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2111*s - 2053*s = 638 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - j + 3. Let u be d(3). Let s be u\/(-24)*(-8)\/(-3). What is the first derivative of -4 + 0*h**s + h**2 - h**2 - 2*h**3 wrt h?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1457*w**5\/10 - 2807*w**3\/6 + 197*w - 18. Find the second derivative of s(k) wrt k.\nAnswer: 17484*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19614*w - 9*w**3 + 28*w**3 + 6540*w + 6535*w + 6539*w.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132.\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249.78 - 0.22. Let d = u - -250.01. Put 2\/11, 2, d in decreasing order.\nAnswer: 2, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/877176 and -151\/14148.\nAnswer: 877176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 260 + 4. Suppose 0 = -5*g - v + 89. Calculate the remainder when 15 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0*t - 2. Let n(d) = 7*d**2. Is n(t) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*r + 9378. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -26. Let i be (168\/35)\/(1\/f). Suppose 3*o = -0*o + i. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/38880 and -37\/58358880.\nAnswer: 58358880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585a1 (base 15) to base 6.\nAnswer: 10010441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-14) - (-120)\/42. Suppose s*w = 3, 2*h - w - 40 = -3. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4133 - 2032. What are the prime factors of w?\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46642019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = 4*j, j - 4 - 4 = -g. Which is the nearest to 2? (a) 20\/9 (b) -1 (c) 0.5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Let i = 62 + -56. What is the closest to -2\/3 in q, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6500793.1 rounded to the nearest one hundred thousand?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(2) + -5 + (sqrt(54)\/sqrt(9))\/sqrt(2).\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 11:44 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67371*a**2*l**3 + 11042304*a**2*l**2 - 2*a**2*l + 481*a*l**4 - 3*l**2 wrt l.\nAnswer: -404226*a**2 + 11544*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + i**4 + (3*i**2 - 3*i**2 - 2*i**2)*(i**2 - 2*i + 2*i))*(34*i - 91*i - 82*i) + 4*i**5 - i**5 + 0*i**5.\nAnswer: 142*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74328725 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-91))\/(7\/((-147)\/(-6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011202000 (base 3) in base 8?\nAnswer: 172051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843357 is divided by 140555?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqhhhqqqhqh. What is prob of sequence qqqh?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 13. Let c be 12\/5 - (-4)\/u. Suppose i - 18 = 3*d, 4*i - 4*d = -c + 74. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 222 - 12 = 0. Suppose 16*r = o*r - 650. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2205102 milliseconds?\nAnswer: 220510.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53951314.2708449 - -53951312. Let x = f - -0.7708453. Let d = x - -1.5. Round d to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 9369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13810, 13845, 13894, 13963, 14058, 14185, 14350?\n\"Answer: j**3 + j**2 + 25*j + 13783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7806, -15683, -23560, -31443, -39338, -47251, -55188?\n\"Answer: -m**3 + 6*m**2 - 7888*m + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 3. Suppose 0 = -4*w + 3*y - 12, -2*w = -4*w - 3*y - 6. Let a(t) = -1. Let f(u) = w*g(u) - 7*a(u). Determine f(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59456*k*m - 3*k*n**2 - 838*m**3*n - 4*m**3 - 13*m**2 - 161*m*n**2 + 2 wrt n?\nAnswer: -6*k*n - 838*m**3 - 322*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -108, -1, 3495.\nAnswer: -108, -2, -1, 3495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1394313 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 110, 211, 336, 491, 682?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 3*a + 2*a**2 - 2*a**2 - a**2 as b*a**2 + w + i*a and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.93, 124, 141 in decreasing order.\nAnswer: 141, 124, 0.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4246995?\nAnswer: 3, 5, 283133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 137707469 + 0.1?\nAnswer: 137707469.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -x - 3*x - 4*g, -3*g = x - 30. Suppose 0*s + 4*s - 20 = 0. Suppose s*u - 7*u = -58. Calculate the remainder when u is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u - 5, 4*r - 33 = -5*u. Suppose -4*h = h - 5*o, 5*o = 0. What is the first derivative of -d + r*d + h*d + 2 wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 0 + 3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25265 and 0.041.\nAnswer: -1035.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*l = -0*l + 8, -2*z - 2*l = 0. Let f be ((-15)\/(-18))\/(z\/6). Suppose -19 = f*u - 24. Which is the nearest to 1? (a) 4 (b) 2\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*i, -17*i + 2 = -5*g - 18*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + o**2 + 50. Is 23 a factor of i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 5. Let c(q) = 4*q + 16. Let i(f) = 2*f**3 + 8*f**2 - 2*f - 13. Let s be i(-4). Determine s*c(z) - 16*w(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 35. Let h(q) = 709*q**2 + 1. Let i be h(-1). Let s(k) = i - 710 + 2*k**2. Give c(s(g)).\nAnswer: -2*g**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffbbbrkbfbrbkrb. What is prob of picking 1 b, 1 r, and 2 f?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 550194 divided by -107?\nAnswer: -5142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)*u*u\/(u\/(u**8*u))*u*u)**(-29)*(u*(u\/(u\/(u**6\/u)))\/u*u*u\/u**(-2\/5)*u)\/((u\/(u*u**(2\/19))*u*u*u)\/((u\/u**(4\/5)*u)\/u)) assuming u is positive.\nAnswer: u**(-21498\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/(369\/492)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13823 - 6909 - 3224*b - 6914 in the form u*b + m and give u.\nAnswer: -3224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73 - 77) + -1 + (8 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -58*l + 51*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-152)\/(-15) + ((-590)\/(-75) - 8). What is the units digit of (-69)\/21*(-42)\/12*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.93 times -3\nAnswer: 8.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2853723970 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 10*l - 5. Does 14 divide m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3550984?\nAnswer: 2, 443873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1747?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 234155965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 10*d**2 - 2965*d + 2965*d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/13*108680\/440. Let t be ((-3)\/(-4))\/((-1)\/(-28)). Solve 0 = 8*v + t + f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeejnneeeejd. What is prob of sequence nje?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23641*p**2 + 23648*p**2 - 69809*p**2 + 22496*p**2.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070 = 245*h - 150*h + 925 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 25*x + 6. Let j(w) = 148*w + 41. What is 2*j(s) - 13*l(s)?\nAnswer: -29*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.102 + 2.089. What is the second smallest value in u, 0.3, 0.2, -5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21087360 divided by -504\nAnswer: -41840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 0*r + 48. Let d be (36\/24)\/((-6)\/r). Let w(j) be the first derivative of -j**4\/4 - j**3 + 5*j**2\/2 - 2*j + 1. Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 142 + 38 = 0. Let n = -26 + b. Solve -4*w - 16 = n, 7*w - 2*w + 45 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Let g be -5*(k - 88\/20). Let v = g - 6. Solve -2*b - v = -3*w + 9, 15 = 2*w - 3*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 18. Let a be 2*(4 - (-23 + r)). Let b = 110 - a. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 17*w + 265 = 0. Suppose 7*x - 137 = -2*q, -4*x + w = -x + 2*q. What is the highest common factor of x and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1732 - -1743. Solve -14*c - 53 + o = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = o + 3*o - 24, 0 = -5*o + 2*d + 21. Suppose o*q + 12 = -q. Let g(p) = 2*p**2 + p - 4. What is the tens digit of g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1203*o - 47193. What is r(39)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 13*o = -5*r - 18, 2*o = 5*r + 2. Let i be (-6)\/3*1\/r*3. Let y = 4 - 5. What is the second biggest value in y, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 31*w**2 + w + 18. Let m be u(-6). Let j = 6691\/6 - m. Calculate the common denominator of j and -33\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-12) - 2\/6. Let h = -70 + 157. Let g = h - l. Calculate the greatest common factor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57798969 is divided by 355.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28916 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -176, -321, -562, -899, -1332, -1861?\n\"Answer: -48*m**2 - m - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:24 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14534 + 10646 = 144*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -11. Suppose m*i = -76 - 5. Let b be ((-120)\/i)\/(-4) - 0. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3219, -13969, -32147, -57753, -90787?\nAnswer: -131249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - 7*n**2 + 3*n**2)*(3 - 5 - 16)*(4 + 1 + 1)*(3*n - n + 0*n) as l*n + x*n**2 + k + v*n**3 and give v.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 70 = 2*r, -179 = -4*r - 3*l - 28. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 158*a + 991. What is the smallest common multiple of i(-6) and 92?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 728 = 214. What is the common denominator of g\/78 - (-20)\/(-60) and 2 + -1*37\/7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121 + -5?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 229043320 and 9680.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -20, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3960 and 396.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {r: 4, k: 4, g: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 2. Let m(u) = -4*u - 5. Let o(l) = -2*m(l) - 6*w(l). Let k = 35 + -18. Is 8 a factor of o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*5*2*sqrt(66))\/((sqrt(864) + -2*sqrt(864))*-3)*4)**2.\nAnswer: 4400\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1201, 1200, 1199?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 73. Suppose -4*k - 9*s + y*s = -459, 237 = 2*k - 5*s. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2161*h**3 - 7*h**2 - 7*h - 1. Is 19 a factor of x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.735047 years to decades.\nAnswer: 0.8735047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3578037004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -723.\nAnswer: 216.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, 0.5, 31, 3\/29 in decreasing order.\nAnswer: 31, 2, 0.5, 3\/29, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*q + 53, -f - 3*q - 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167.3302 rounded to zero decimal places?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/25, -18\/23, -5\/2, -0.1, -14, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3026 - 14245?\nAnswer: -17273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 708 - 286. Suppose 0 = 3*y + 2*i - 475 - 153, 2*y + 3*i = n. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**4\/12 - g**3\/3 + g**2 - 2*g. Let j be l(-2). Find the third derivative of -1 + d**2 + j*d**4 + 1 wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80*(-805)\/(-1840))\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.6 (b) -3766 (c) 6\/7 (d) 2\/9 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114 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 z(p) = -p + 1. Let y(j) = -10*j + 2. Let x(d) = y(d) - 2*z(d). Let n(w) = -w. Let k = -4 - -5. Let q(b) = k*x(b) - 6*n(b). Let t(f) = -9*f. Give q(t(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.09 - 4.21. Let n = q - -7.3. Let u = -737\/7 - -105. Put n, u, 2\/25 in descending order.\nAnswer: 2\/25, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78c07 (base 15) in base 4?\nAnswer: -1131301102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 25 = 5*h - 0*h, 2*h - 18 = -5*b. Suppose -z = -b - 21. What is the remainder when z is divided by 3 + 11 + (-1 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11025956 to the nearest integer?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -35. Let v(f) = -f**3 - 5*f**2 + f + 6. Let s be v(-6). Let m = s + t. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1540 and 5159.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 + 7*h + 6. Give f(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -22119.769 to the nearest ten.\nAnswer: -22120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2 - 0) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 1 - (1 - 30). Let j = 43 - s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-6))\/p)**(-26)*(p*p**8)\/((p*p\/p**(-2\/7))\/p))**25 assuming p is positive.\nAnswer: p**(-25950\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417311221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -41*b**2 - b - 2. Give r(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4665*v = 266904 + 124956 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(((-448)\/84)\/(-4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107624?\nAnswer: 2, 11, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119.4323 + -276.43159. Let p = 157 + a. What is p rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -25\/2, -2\/5, 2\/13, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-42) - (-620)\/(-105).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) 309\/430 (d) 1\/25 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428153195 to the power of 1\/2, to the nearest integer?\nAnswer: 20692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20863743.9646010267 + -72.9638110267. Let n = d - 20863845. Let u = 174 + n. What is u rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 175*c - 351*c + 176*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/2112)\/((-2)\/(-32)*2)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/109, -2\/39, 442, -20?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*h - 0. Let t(q) = 3*q - 7. Let o be t(h). Suppose 2*w = o*f - 16, 5*f = -4*w - w. 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: What is -74737 less than 2339?\nAnswer: 77076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -290.8 and 6.251.\nAnswer: -284.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5448 and 384360486?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*q**3*z - 2*k*q**2 - 1114*k*z**2 - q**3*z**2 + 12617*q**3*z wrt k.\nAnswer: -2*q**3*z - 2*q**2 - 1114*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -318.6 - -319. Let z = -1 - -0.7. What is the third biggest value in -2\/5, z, w, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from xcchchchhcxhcch.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 38 = 5*h - 25*x, -4*x - 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 4*p + 2*z, -2*p - z = 2*z - 90. What is the highest common factor of 72 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 171*g**2. Let i(y) = -29*y**2 + 19*y**2 + 27*y - 27*y. Determine f(i(c)).\nAnswer: 17100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 7. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/434850 and 133\/86970.\nAnswer: 434850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -143185037, -143185038, -143185039, -143185040?\n\"Answer: -t - 143185036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5363823849.\nAnswer: 3, 2633, 679051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.127342 * -1\nAnswer: -1.127342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41004 and 647700.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + s = -8, 459*g - 3*s - 19 = 454*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/628 and -19\/566448?\nAnswer: 88932336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8801 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 49 = 16. Suppose 3*o = -u*z + 8*z + 38, -3*z = -2*o + 24. Find the third derivative of 314*w**o - 326*w**6 - w**2 + 19*w**2 wrt w.\nAnswer: -1440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 28 = -15*s + 11*s, 3*s - 6*r - 33 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 + 271 = 74*p - 11*p. Solve -p*s + 2*a + 18 = -2*s, a + 13 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3810908.97 to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478034 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g - q + 9, -6 = -2*g - 5*q. Solve -g*z + 12 = -3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/6 + 73*i**3\/2 + 144*i**2 + 430*i\/3 = 0.\nAnswer: -215, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26 * -0.02\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16871149\/3106818 + -18819\/1846. Let h = 14167444\/153 + -92598. Let q = h + u. What is the common denominator of q and -89\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*f - 8 = 0, 5*i + 2*f - 7*f + 20 = 0. Let s be -3 + 24\/(-9)*i. Suppose 5*y - 3455 = -4*v - 524, y - s*v = 592. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46*v**2*x**2 + 4*v**2*x - 2*x**2 + 4*x wrt v?\nAnswer: -92*v*x**2 + 8*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 at least 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -993*k**5\/20 - 7*k**4\/12 + 41*k**3\/6 - 424*k**2. What is the second derivative of c(z) wrt z?\nAnswer: -5958","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299657134 and 36.\nAnswer: 5393828412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/5 - 2*u**3\/5 + 48*u**2\/5 - 72*u\/5.\nAnswer: -2*u*(u - 3)*(u - 2)*(u + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -1\/3, -1\/2, -0.2, -20\/11 in decreasing order.\nAnswer: 24, -0.2, -1\/3, -1\/2, -20\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(0 + (sqrt(12)*-3 - (-2 + sqrt(48))))**2.\nAnswer: -320*sqrt(3) + 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 46 = 2*g - 69, -5*h - 215 = -4*g. Let i(t) = 8*t**3 - 6*t**2 + 4*t + 1. Let b be i(1). Suppose -b*r = -g - 73. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 6 (b) -9 (c) 34\/9 (d) 0.4 (e) -53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030113033 (base 4) to base 6.\nAnswer: 10412023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -6 - -24) + 5 + 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 4, -560, 0.3944?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.704, 4, 5\/4, 3, 3\/4, -408, -0.4?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1 - (4 - 0)). Suppose 3*h - 226 = -s, x*h = 4*h - s - 306. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 - 4*g + 9. What is a(5)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.194 + -610\nAnswer: -610.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 j when four letters picked without replacement from {x: 4, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1.1 (b) 5 (c) -7 (d) 0.3 (e) 11.1 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -383*l + 667 + 865 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1529368985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) -1\/58 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/10)\/(2\/(-16)). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 960*z**2 + 18866*z + 47904.\nAnswer: -2*(z - 499)*(z + 3)*(z + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 56, 4812, -4 in descending order.\nAnswer: 4812, 56, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 721*m - 33. Let b(t) = 2886*t - 123. Calculate -4*b(r) + 15*n(r).\nAnswer: -729*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/63 (b) -34 (c) 175 (d) -1\/5 (e) 0 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let j(v) = 72182*v**2. Determine j(d(i)).\nAnswer: 72182*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46438 * 3.7.\nAnswer: 171820.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 927705426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -369450718*j**2 + 256991178.\nAnswer: -738901436*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/10, 5, 474?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 0 + 1\/1680*s**8 + 0*s + 1\/1050*s**7 - 1\/300*s**6 + 1\/120*s**4 - 1\/150*s**5 + 4*s**2 + 1\/30*s**3. Factor p(r).\nAnswer: (r - 1)**2*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/210 + w**5\/70 + w**4\/28 - 2*w**3\/21 + 9*w**2. Suppose y(p) = 0. What is p?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/(-10))\/(6\/(-92)). Is z less than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a + 45*a - 71*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -214 (b) 19 (c) -4 (d) 1\/10 (e) 0 (f) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 92\/79, 3\/2, 9?\nAnswer: 92\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 147, 3\/2, 0.5.\nAnswer: 0.5, 3\/2, 2, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 285570 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -5. Let w = q + 13. Solve w = u - k - 4*k - 28, -2*u - k = -1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 4. Let k = j + 4.945. Let s = 0.05499815 + k. Round s to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**14)\/k*(k\/k**(-7))\/k assuming k is positive.\nAnswer: k**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3107195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1490295*n**3 + 1251485*n**2.\nAnswer: 8941770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(15 - (13 - -3)). Solve 9*y = -x*y + 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*2\/(-21)*9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16226 and 2698.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12397 and -1.35.\nAnswer: -16735.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 846 = 2*h. Suppose 143*x - 8 = h*x. Solve -i + 2 = 1, 2*d - x*i = 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 66 = -5*v, 2*m - 80 = 3*v - 59 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -247, -230, -209, -184?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2503 + 193. Let o = 9 + a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - 30?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - r = -f - 8, 5*f + 76 = -4*r. Let t(c) = -c - 15. Let q(m) = -4*m - 61. Let o(l) = 2*q(l) - 9*t(l). Let s be o(f). Is 1 != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -484? (a) -71\/4 (b) 0.19 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**1*h))\/h**1*h**3\/(h\/h**2*h*h) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -41149196 rounded to the nearest 10000?\nAnswer: -41150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012166012 to five dps.\nAnswer: -0.01217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2053, -4114, -6173, -8230?\nAnswer: -10285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-442))\/5*-9*(-4)\/9.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*g, 0*m = -2*m + g + 47. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + (5 - -3 - (-27 + 34))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109\/((-1199)\/(-12))*(-2)\/(-4).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 96*i - 3. Let g(f) = 193*f - 5. Let a(l) = 6*g(l) - 13*m(l). Let y be a(6). Is (-4)\/2*y\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*n - 2*a - 20, -3*n + 2*a + 28 = 0. Suppose 7*x - n*x = -26. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.61438 microseconds to milliseconds.\nAnswer: 0.00661438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 14553*j - 676. Is m(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10826 or -11882?\nAnswer: -11882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 8. Let a = 0.7269 + -0.4269. What is the third smallest value in t, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11275736.\nAnswer: 2, 1409467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 12:01 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 338\/(-48)*((-46512)\/14212 - (-446)\/143)?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 142 + 2?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*c*l**2*n + 10*c*l*n**2 - 99216*c*n**3 + 3*c*n**2 - 873*l**2*n**3 wrt l.\nAnswer: 216*c*n - 1746*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69023664019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*i*j**2*r*z**2 + i*j**2*z - 8*i*j**2 - 9*i*j*r - i*z**2 wrt r.\nAnswer: 53*i*j**2*z**2 - 9*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {h: 4, o: 6, g: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 272685 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 12*v**2 - 585*v - 147 = 0.\nAnswer: -1\/4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*p**2 - 219 + 5*p**3 + 107 - 339*p**3 + 120 wrt p.\nAnswer: -2004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400538204 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/24 + ((-71)\/84)\/1.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 3*o - 3. Let g be w(-9). Let l = g - 36. Suppose z + 4 = 5*s, 4*z + 5*s - 12 = -3. Solve -z = -4*k + l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*j + 51. Suppose -3*l + j = -3*f, -l - 3*l - 2*f + 18 = 0. What is the closest to 1\/2 in -2, 2\/7, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*y - 15, 18 = 19*x - 20*x + 7*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35997 and 1014.\nAnswer: 71994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 2129367\nAnswer: -13\/2129367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 645.56949758 + -18.5\nAnswer: 627.06949758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.4917.\nAnswer: -0.09834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 2. Give l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 2\/3*w**4 + 0*w - 63*w**2 + 0 + 16\/3*w**3. Differentiate d(u) with respect to u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*f**3 + 74*f**2 + 64*f - 32.\nAnswer: -2*(f - 4)*(f + 1)*(11*f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -67, -0.2, -23, 2, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115432\/11 + -10494. Which is the fifth smallest value? (a) -16 (b) -2 (c) 3 (d) g (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1 - 3*m**3 + 2*m**3 + 2*m**3 - 1 - 5*m**2 - 6*m. Let i be k(6). Let q = -1 - 0. Put i, q, 2 in ascending order.\nAnswer: i, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88*-0.1.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 113*s + 438. What is g(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 + 11 - 16)*(-2*k**2 + 1 - 1) in the form g*k**2 + p*k + h and give g.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 653 + -81861?\nAnswer: -81207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let s(i) = 22 + 26 - 160*i**2 - 48 - 180*i**2. Calculate o(s(u)).\nAnswer: -115600*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3 - 34864384*z**2 - 151940658962432*z = 0.\nAnswer: -8716096, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 - -90) + -204 + 95.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1715, 1657, 1555, 1403, 1195, 925, 587, 175?\n\"Answer: -b**3 - 16*b**2 - 3*b + 1735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-94)\/24 - (-6)\/(-18))*-4. Let v = 10 + t. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -335, -802, -1469, -2336?\n\"Answer: -100*f**2 + 33*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 100*z**2 - 863*z + 120. Let y be r(-108). Solve -5*v + 25 = -2*x, -y*v - 1 = -x - 14*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 4:15 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 229*h**3 + 31 + 2*h + 13*h**2 - 114*h**3 + 5*h**2 - 114*h**3. Calculate s(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0319 + -362026?\nAnswer: -362025.9681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(693)\/(-2*sqrt(11) - sqrt(11)) + sqrt(63))\/sqrt(9).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 6 = -83*r + 95. Solve -257*g - r = -259*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.371 + 260.629. Let f = 229.8 - c. Let s = 45.5 + f. Round s to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -15*t**2. Let k(f) be the first derivative of f**3 + 20. Give k(g(z)).\nAnswer: 675*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -556580 by -5.\nAnswer: 111316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -378 - -1410. Let j = c - 636. Is j a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 47 + 49 - 144 - 21*w.\nAnswer: -21*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 445620 and 133686?\nAnswer: 1336860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/6)\/(f**(2\/3)*f)*f**(1\/10)\/f*f\/(f**(-7\/2)\/f*f))**(1\/12) assuming f is positive.\nAnswer: f**(53\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -246, -564, -1010, -1584?\nAnswer: -2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 187*t - 5 - 49*t + 83*t in the form d*t + a and give d.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*8\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5\/8 - 99*h**4\/4 - 3267*h**3\/8 = 0. What is h?\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 20. Suppose 10 = -2*m - b*w, 14 + 2 = 4*m - 4*w. What is the highest common factor of m and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 150 = 10*o - 103, 129*r = 5*o + 127*r - 104 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 30*a = 12. Let m(p) be the third derivative of -8*p**2 + 0 - 5\/6*p**a + 0*p - 1\/4*p**4. Find the first derivative of m(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 189*q**2 - 49*q + 1. Is o(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 96, 126, 154, 180?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 10 + 5)*(53 - 108 - 89*h + 56)*(2*h**3 + 0*h**3 - h**3).\nAnswer: 267*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**5 + 65*g**4 - 586*g**3 - 4051369*g**2 wrt g?\nAnswer: 540*g**2 + 1560*g - 3516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76811*i**3 + 84*i**2 + 6*i - 58424011.\nAnswer: -460866*i + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*x - 4*j, 12*j + 20 = 4*x + 11*j for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/6 + -3\/2. Suppose -3*p = 72 - 120. Which is the nearest to l? (a) 2 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34587 + -26590. What is the remainder when o is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1548? (a) 0.1 (b) 4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31425430 (base 6) to base 9.\nAnswer: 1653830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z = 3604 + 3200. Calculate the remainder when z is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (2 - (1715 + -3)). Let y(u) = 2*u - 5. Let i be y(4). Suppose -i*q - 36091 - n = 0. Round q to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128.3, 0.03, -1\/4, -2\/5 in decreasing order.\nAnswer: 0.03, -1\/4, -2\/5, -128.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - 12.3. Let b = -1.7 - p. What is b rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352069 is divided by 178?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -7. Let q be -2 + (-2 - x) - (-90)\/28. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 483078?\nAnswer: 2, 3, 80513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 550 and 2410375?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 129115 and -188.6.\nAnswer: 128926.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.92 + -0.08. Let t = 8 + h. Which is the smallest value? (a) t (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40024 + -320593\/8. Let z = m - -50. Let s(x) = x**3 - 5*x**2 - 6*x + 2. Let r be s(6). What is the third smallest value in r, -5\/6, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -26. Suppose 0*h + n = h. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 12*n + 4. Let i be v(-12). Suppose 35 = -5*g + 5*l, i*l = -5*g + 11 - 1. Let k be g\/(3 + -4) - 2. Is k smaller than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9192 in 58, -3\/2, 0.1?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m + 1. Let t be n(1). Let b = -8 - -8. Solve b*u - h + t = -2*u, 4*u - h + 19 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -2 + -2 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 93*q - 566. Determine t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159\/357527 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21049, -21045, -21041, -21037, -21033, -21029?\nAnswer: -21025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*m**2 - 126*m**2 - 21*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 + 16*a - 25. Let g be (80\/6)\/(1916\/1437). Determine h(g).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 2*a**3 + 4 - 5*a + 7*a - a to s + k*a**2 + m*a**3 + i*a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 14*k**2 + 43*k + 38. Let c(a) = -5*a**2 - 15*a - 13. Let z(r) = -11*c(r) - 4*t(r). Let n be z(-4). Factor 8 + 16*i + 8*i**2 + 4 + i**n - 12.\nAnswer: i*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 14168276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -515.\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -7*k - 27 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*w = -14, -w - 5 = f - 2*f. Suppose 2*b + 2*i - 18 = -4, 0 = -5*b + f*i. Is 14 a factor of b\/7 - (-388)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/9, -4, 3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1)\/p*p*p\/((p**(-1\/7)\/p*p)\/p))\/((p\/(p*p\/(p\/p**(-1\/10))*p*p))\/(p\/(p*p*p**(1\/5))*p)))**(-36) assuming p is positive.\nAnswer: p**(-4842\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 46. Let w = z - 12. Suppose -o + 134 = 4*q + o, 0 = 4*q - w*o - 130. Calculate the remainder when q is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -647*y + 21 + 28 - 49 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-510)*(-224)\/(-14)*(-6)\/(-32)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8641 - -17428. List the prime factors of f.\nAnswer: 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2. Let n(x) = -1399525*x**2. What is q(n(u))?\nAnswer: 7834680902500*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 1112, 1721, 2330, 2939?\nAnswer: 3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - f**2 + 19. Let v be -2*(-8 - -2)\/(-6) + (-2)\/(-1). Give y(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -177*n**3 + 39*n**3 + 79*n**3 + (-4 + 5 + 1)*(4*n**3 - n**3 - 4*n**3) + 5*n**3 + 17*n**2 - 17*n**2 as a*n**2 + l + y*n + o*n**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 360 (b) -25 (c) 2 (d) 3 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 43 = 97. Let j = -105 - w. Let c = 10 - j. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/7)\/(6\/(-7)*(2840\/80)\/71)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l. Let o(y) = -1. Let x(b) be the second derivative of -b**4\/12 - 5*b**2\/2 + 2*b. Let h(i) = -5*o(i) + x(i). What is h(k(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y - 3. Let q be 10\/4*8\/10. What is the units digit of h(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3684 = u + 2397, b - 1220 = 4*u. Is 1214 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Suppose 2*s + c*x - 7*x - 8 = 0, 0 = 2*s - x - 5. Let i be (s + 9\/(-6))*4. Solve -4*r = d, -5*r - i*d + 5*d - 17 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 72 = -6*j - 0*t + 13*t, 0 = -4*j + 2*t - 48 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 a factor of 2448143854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0008 + -1270955695.\nAnswer: -1270955694.9992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3635299477 and 227.78.\nAnswer: 3635299704.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {w: 3, r: 4, v: 13}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**3 + 155*a**2 + 1120*a - 1280 = 0. Calculate a.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-19907)\/(-119) - (-2)\/(-7))*1. Let r = b - 166. Solve x = -r, -u + x + 4*x = -4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681212140 to the power of 1\/3, to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-12))\/((-1)\/(-4)). Let h = x - 3. Let q(o) = o**2 + 6*o - 6. Give q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 10:46 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 + -57. Let b be (-47)\/423 + (-200)\/(-18). Suppose 3*c - x = -4*o, b = o + c - 7. Calculate the remainder when 46 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -24. Let j be (-3)\/l - 26\/40. Put 0, -0.03, j in increasing order.\nAnswer: j, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - c = 15, v - 5*c - 9 = 4*v. Let y = 9 - v. Let p(l) = 15*l + y*l - 25*l + 9. Calculate p(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/3)\/j))**(1\/47)*(j**(-2\/5)*j*j)**16 assuming j is positive.\nAnswer: j**(18073\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38587, 36353, 34133, 31933, 29759, 27617?\n\"Answer: u**3 + u**2 - 2244*u + 40829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -343 (c) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2376\/405 + 6\/45.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35830.143 rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2. Let p(i) be the first derivative of 7*i**3\/3 + 5. Calculate p(t(b)).\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1\/6, 60795?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -29. Suppose -4*i = i + x. Let p = -998 - -19959\/20. Which is the third biggest value? (a) i (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2746*w + 2784*w - 1.\nAnswer: 38*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 + 2. Let b(z) = 31*z**3 - 155*z**2 - 4. Let s(y) = b(y) + 2*n(y). What is the third derivative of s(l) wrt l?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27251, 108417, 243691, 433073, 676563?\nAnswer: 974161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.24 - 3.54. What is the second biggest value in -3, 5, k, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 57*j - 3. Let x(q) = 59*q - 68. Let h(t) = -2*u(t) + 2*x(t). Determine h(37).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-6)\/(-4) + (-119378)\/79576). Round a to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: bc8 (base 13) to base 9\nAnswer: 2687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, a: 12}. What is prob of picking 3 a?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7495*o - 179912. Give y(24).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-10))**(-24)\/(t**(-31))**(-43) assuming t is positive.\nAnswer: t**(-1597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/5? (a) 2 (b) 9499\/2 (c) 0.1 (d) -1 (e) -5 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1052 (base 9) to base 2\nAnswer: 1100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/4, -70, 29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 318 + 117148?\nAnswer: 117467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = -4*j, 3 + 16 = 3*j + 4*l. Let f(a) = -a**2 + 9*a + 1. Let n be ((-2)\/6)\/((-2)\/54). What is the remainder when f(n) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hthh when four letters picked without replacement from {h: 11, l: 2, t: 2}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1626 and 0.05361624?\nAnswer: 1626.05361624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = -2*r + 28 + 18, 3*r - 7 = 2*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 31, 62, 113, 190, 299, 446, 637?\n\"Answer: j**3 + j**2 + 7*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v. Let z(h) = 5*h + 337. Give s(z(f)).\nAnswer: -25*f - 1685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**3 + 7*s**2 - s + 3. Let y(x) = 13*x**3 + 8*x**2 + 4. Let c(p) = -4*k(p) + 3*y(p). Let r(f) = 5*f**3 + 3*f**2 - 3*f. Determine -3*c(t) - 4*r(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 63, 99, 135, 171?\n\"Answer: 36*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and (18 - (-1)\/1) + 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*l + 174, 5*l = -2*z + 2*l - 330. Let w be -4*2*(-9)\/z. Put 0.1, w, 1 in decreasing order.\nAnswer: 1, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/11 (b) -4\/3 (c) -0.4 (d) 74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4828*r - 1099*r + 5046*r - 180*r + 4362*r. Let p(o) = -o**2. Give p(s(h)).\nAnswer: -167883849*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 125, 268, 457, 686, 949, 1240?\n\"Answer: -x**3 + 32*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, c: 5}. Give prob of sequence rcrr.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u**2 - 96*u - 5. Let n be z(-3). Calculate the greatest common factor of 84 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l*l*l**(2\/43)*l)\/(l*l*l**(-8)*l*l*l*l**20) assuming l is positive.\nAnswer: l**(-600\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (305*g - 305*g - 105*g**2 + 1 - 2*g**2 - 1 + (5*g + 2*g - 5*g)*(0 + 2*g + 0) + 7*g**2 - 3*g**2 + 0*g**2)*(4*g**2 - 3*g**2 - 2*g**2)*(2*g + 1 - 1).\nAnswer: 198*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 13*u + 111. Give t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188971354 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-492)\/60 + 9 - (-363)\/15. Let l = 18 + -5. Suppose -29 = -4*f + 3*x, 0*f - 4*x + l = 5*f. Solve 5*c - h = 2*h - 15, c + f*h = s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1503\/(-835) - 12\/(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 - (1 + 0) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013022 + 10?\nAnswer: 1013032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 8*q**2 - 7*q - 13. Let h be u(9). Suppose 3*c + h = -4*l + 4*c, c = -2*l - 7. Is (-16)\/(-6) + l\/3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 483*d**2 + 4816*d - 679135. What is b(490)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9663 or 9671?\nAnswer: 9663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -129, -359, -613, -891, -1193, -1519, -1869?\n\"Answer: -12*o**2 - 194*o + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1 - 2 - 1 + 0 - 16*y. Suppose 0 = -2*c - 0 - 2. What is the units digit of r(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + (-2*sqrt(12)*-1 - (sqrt(54)\/sqrt(2) + -3)))*-2)**2.\nAnswer: 24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.9826ml to litres.\nAnswer: 0.0829826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 63 + 40 = -3*p, -3*p + 9 = 3*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 2. Let n be v(0). Suppose -q = -n*q + 4. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let g = -241 - -233. Let r = x - g. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (177 + -76 + -83 - 33) + (3 - 2) + -54.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4003, -3994, -3973, -3934, -3871, -3778?\n\"Answer: o**3 + 2*o - 4006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100.4 - 117. Let a = k - -16.599858. What is a rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -3, 2\/7, -0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32331 + -223?\nAnswer: 32102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and 1468?\nAnswer: 42572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18398629 a multiple of 499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -1\/3*c**3 + 0*c + 5*c**2 + 0 - 1\/12*c**4 + 1\/15*c**5. Determine q(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 3.3. Let l = f + -4.14. Let u = 0.14 + l. Which is the second smallest value? (a) -0.05 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4043? (a) -0.5 (b) 20 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uieieeeeeereiureeeie. What is prob of sequence eiir?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*i + 4 = 0, -3*o = -4*i + 8 + 6. Suppose 4*c = 5*j - 4*j + 11, 0 = o*j - c - 13. Let p(l) = -4*l - 3*l + l - 3 + j. Give p(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:41 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5319488 is divided by 889?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-5 - (-5 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 20, 40, 68, 104?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-12) + -2 + 3. Let c = -3106\/3 + 3104\/3. What is the nearest to 2\/3 in c, z, -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:26 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**3 + 1 + 1 + 40*p**3 + 71*p**3.\nAnswer: 67*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3*p - 801*d**3 + 72*d**2*p wrt p?\nAnswer: d**3 + 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + -3 + 6*(sqrt(176) + -1 + sqrt(176) + sqrt(176)) + 5 + 1)**2.\nAnswer: -1584*sqrt(11) + 57145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((90\/10)\/90). What is the highest common factor of 25 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/2 + (2 - 25\/5). What are the prime factors of (175 - -3) + (g - -2)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 529.3 - 533.3. Which is the closest to -6\/7? (a) g (b) -3 (c) 3 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 5*p**2 - 1. Let n be f(-5). Let m be (2\/(-2))\/((-6)\/6)*5. What is the closest to n in -1, 2, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12470 * 1.5\nAnswer: -18705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 5*u**2)*(-u + 5*u - 3*u)*(164 - 8 - 277).\nAnswer: 605*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5319745.\nAnswer: 5, 43, 109, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from dpddpdpdddpddd?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 35. Let p be s(10). Suppose -5*b - p - 40 = -3*w, 27 = -3*b + 2*w. What are the prime factors of (0 - (-182)\/6)\/((-3)\/b)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7758 and 56461?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/42)\/(((-2)\/(-10))\/((-532)\/760))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 32*t - 1\/6*t**3 + 0 + 0*t**6 - 1\/42*t**7 + 0*t**5 - 9\/2*t**2 - 19\/12*t**4. What is the second derivative of r(q) wrt q?\nAnswer: -20*q**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -10*v - 4. Solve -v = -b + 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 + 34*m**2\/3 - 2699*m\/3 + 888.\nAnswer: (m - 37)*(m - 1)*(m + 72)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 15987*n**2 - 16*n - 64. Is t(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*t - 801, 3*i + 4*t - 1068 = -i. Is i a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-69)*18\/4)\/(3\/96)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -16, q - 100 + 120 = -3*o. Let i be 2\/(-4)*(1 + 1). Sort 3, -8, i, q in descending order.\nAnswer: q, 3, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*x + 2 = -1, -2*y + 16 = 5*x. Suppose 20 = 8*t - y*t. Solve -3*i - 2*i = -j - 9, -9 = -t*i - j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 66 + 72 + 46 - 185. Let k(q) = 4*q - 6. Suppose -r - 38 = -3*v - 6*r, -26 = -3*v - 2*r. Let n(d) = v*m(d) - k(d). Let g(y) = y. Determine g(n(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*i - 15. Let t be 3*3*(-1)\/i. Solve -t*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 345.500005756 - 345.5. What is c rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2251975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 18*m + 52. Let d(x) = -6*x - 17. Let f(k) = -4*a(k) - 11*d(k). Is 2 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*i = -345*i + 3888. Let m = 329 - i. Solve -3*b + m*b + 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 127 - 10e8?\nAnswer: -fc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 4*a**2 + 17*a + 263. What is the remainder when 3825 is divided by j(-6)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -26*q - 37. Let m be k(-2). Let h(n) = -n + 15. Let j be h(0). Is j <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6\/(-75) + ((-168981)\/(-75) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-20))\/(r*(r**(1\/24)\/r*r)\/r))\/((r**(-13)\/r)\/(r\/(r*(r\/r**(-5\/12))\/r))) assuming r is positive.\nAnswer: r**(829\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(500)*2 + sqrt(500) + sqrt(180)*5)\/((sqrt(196) - (sqrt(196) + sqrt(196)*2)) + -4*sqrt(36))*-1.\nAnswer: -1 + 15*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 20. Suppose -2*p - 2*z + 5*z = -9, p + 3*z + 9 = 0. Suppose p*d + 24 = 3*d. Let n be w(d). Solve -2*m = -2*u, n*m + 5 = -u - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, -115, 14, 0, 1, -4 in decreasing order.\nAnswer: 14, 1, 0, -3, -4, -18, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449453 is divided by 49?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 11*w + 4. Let x(h) = -9*h**2 + 21*h - 7. Let d(c) = -11*s(c) - 6*x(c). Give d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 4*l + 5 + 7*l**2 - l - l**3. Let x be y(7). Suppose -x*s - 1 = -26. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3502 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 25 (c) -4\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 11*h - 7*h. Let o = 10 - h. Solve 4*f + o + 8 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 2400 - 7793*i + 7793*i as a + n*i**2 + y*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*j + 7. Solve j*n + 0 - 2 = 5*h, 5 = -5*h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 1122 (c) -3\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**1)**(37\/4)*(p**(-2\/3))**(-14))**32)**(-2\/65) assuming p is positive.\nAnswer: p**(-3568\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 10*p + 13. Let l be k(-9). Solve 2*x = x + l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-8\/7)*y*(y*y*y**(-6))\/y*y)**(1\/25))**28)**(-27) assuming y is positive.\nAnswer: y**(324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 73547*f - 16 + 73585*f.\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -149, -1894, -4867, -9122, -14713?\n\"Answer: -9*y**3 - 560*y**2 - 2*y + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-700)\/160*24\/10*-6?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/15)\/((-2)\/(-790)). Suppose -5*i - 20 = 0, 0*a = 2*a + 5*i + 146. Let m = a + c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -113, -245, -429, -665?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -36, -1, 70, 189, 368, 619, 954?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**3 - 5*z**2 + 5*z - 235. Let d(m) = 4*m**3 - 2*m**2 + 2*m - 117. Determine 5*d(x) - 2*r(x).\nAnswer: 2*x**3 - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - -14. Let a be 1\/(-3) - j\/(-21). Let d(m) = a*m**2 - 1 - 2*m**2 + 5 + 1. Let f(i) = i**2 + 3. What is -3*d(u) + 5*f(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -5*s**2 - 1738071970*s - 151044708644984045 = 0.\nAnswer: -173807197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 61*y - 265. Determine h(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0 + 1\/12*a**4 - 7*a + 0*a**2 + 0*a**3. Let b(p) = -8*p - 58 - 42*p + 58. Determine b(w(o)).\nAnswer: -50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 702, -937, -4, 4, 2 in ascending order.\nAnswer: -937, -4, 2, 4, 702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, 0, -12\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/6 - 35*p**3\/3 - 394*p**2\/3 + 2012*p\/3 - 720 = 0. What is p?\nAnswer: -54, -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 292102157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -255156*t. Let a(d) = d - 13. Calculate l(a(r)).\nAnswer: -255156*r + 3317028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 - 158*u + 289. What is v(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*h - 2*u, h - 23 = 4*u - 43 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/(-228))\/((-3)\/(54\/8))*-28.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 22156000 to the nearest 100000.\nAnswer: 22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 1. Let w = 6 + j. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 11 = -w + d, -3*w = d - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 295, 297?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7680.7 - 7681. Which is the nearest to 2? (a) 1\/10 (b) -0.49 (c) o (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 29. Let q be c(12). Suppose 2*d + t - q*t - 18 = 0, t = d - 7. Suppose -2*m - 17 = -y - 7, d*y = m + 23. Solve -y*l = -2*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122 less than or equal to 4122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 4.6. Let o be (-35)\/6160*712 + (-2)\/(-44). What is the second biggest value in -1, o, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(216)\/sqrt(4))\/sqrt(2) - sqrt(27))*-1)\/(3*sqrt(27)\/sqrt(3)*-5) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3))*-5 + 3 - ((sqrt(363) - (-1 + sqrt(363) + 0)) + sqrt(363)))**2 - (3*(sqrt(9)\/sqrt(3) + 2 + sqrt(6)\/sqrt(2)*3) + -5).\nAnswer: 84*sqrt(3) + 776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 3059.\nAnswer: 6\/3059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**2 + 14*k + 7. Let y(s) = -3*s**2 - 14*s - 9. What is -5*v(q) - 6*y(q)?\nAnswer: -2*q**2 + 14*q + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-21)*28\/8. Suppose -2*d - 208 = -4*c, 0 = 5*c - 4*c + h*d - 43. Suppose 77 = 4*w - 5*y, 5*y + 44 + c = 5*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12128 divided by -3032.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3464866851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 1109 = 6835. What is the third derivative of -w*g + 1323*g + 274*g**2 - 661*g + 159*g**3 wrt g?\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35808015*l**2 - l**3 - 2 - 17*l + 35808010*l**2 + 0 + 0*l**3 + 3*l**3 - 4*l**3 + l**3 + 1 - 1 + (-3 + 1 + 4)*(-2*l**3 + 5*l**3 - l**3).\nAnswer: 3*l**3 - 5*l**2 - 17*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 19 = 1, -5*d + 233 = 2*b. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 26*s - 88*s + 22*s - 4 + 6*s. Is t(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -486.\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24884292?\nAnswer: 2, 3, 691, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1*sqrt(2) + -1 - 5*(sqrt(2) + 1))**2.\nAnswer: 60*sqrt(2) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 14) in base 2?\nAnswer: 1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 2*m - 3*m)*(-64*m**3 + 62*m**3 + 113*m**2 - 39*m**2) to f*m**3 + l*m**4 + j*m + z + u*m**2 and give f.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 4*y**2 + 6*y**2 + (5*y - 4*y + 2*y)*(3 - 3 + 4*y) + 4 - y - 4 + 2*y**2 to a*y**2 + r + o*y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 757029 and 194110?\nAnswer: 7570290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119344 and 328196.\nAnswer: 1312784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3 - 27*p**2\/2 + 4*p - 1. Calculate the remainder when 485 is divided by t(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27179 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6955 - -1?\nAnswer: 6956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let a be 5 - 1 - (0 - u). Suppose -a*y + 10*y + 10 = 0. Is -4\/7 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26e (base 15) in base 14?\nAnswer: 2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - b = -21 + 33, -5*h = 4*b + 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.7 (b) -0.01 (c) -3322 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 6:15 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q + 60. Let r(g) = g**2 - 3*g - 7. Calculate the remainder when q is divided by r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 20 = -32. Suppose -8 = b*a - 6*a. Suppose -115 = -5*m - 25. Calculate the greatest common divisor of m and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15983 is divided by 432.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2965882, 5931693, 8897506, 11863321, 14829138, 17794957, 20760778?\n\"Answer: v**2 + 2965808*v + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 63 = 163 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*k = 4, 0 = y + 2*k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21708568 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8818 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3 - 107*j**2 + 5566*j + 2461973?\nAnswer: -3*j**2 - 214*j + 5566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 387937450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4722 - 4723. Which is the closest to 3\/8? (a) j (b) -0.3 (c) 2\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11110110000111000?\nAnswer: -11110110000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36f - 77df?\nAnswer: -7b4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 49*m + 295. Determine r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**4\/12 - 3*w**3\/2 + 9*w**2\/2 + 238*w. Suppose 5*g - v - 115 = g, 3*v + 15 = g. Suppose 0 = -l + 6*l - g. Give c(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Suppose 8 = n + t. Let z(i) = 2*i - 3. Calculate z(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.219823 kilograms?\nAnswer: 7219823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/10 + 80\/(-200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 480 = -13*b. Let f = 166 + -82. Calculate the greatest common divisor of b and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -14 + (2 - 17) - 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Suppose 7 = f + b. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 2 - 2)*(1398*v**2 - 2850*v + 2850*v - 3) + v**4 + v**5 - v**4.\nAnswer: 1399*v**5 - 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 367 + -364. What is r in -16409 - 5*r**4 - 20*r**u + 20*r**2 + 5*r**5 + 16409 = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**7\/70 - t**5\/30 + t**2\/2 + 4*t. Let o(v) be the first derivative of l(v). What is the third derivative of o(p) wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 10:51 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9752, -5036, 2832, 13858, 28048?\n\"Answer: a**3 + 1570*a**2 - a - 11322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-3 + -1) - (-12 - -7). Solve 3*i = n*f + 3, -5*i + 41 = -f + 5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = k + 73. Suppose 0 = -k*j - i + 7, -3*i - 15 = -7*j - 2*i. Let 10\/11*f**j + 4\/11 - 14\/11*f = 0. What is f?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:31 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 2482.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3))**(-2)\/(d**(-1\/3)*d*d*(d*d\/(((d*d**(2\/9)*d)\/d)\/d)*d*d)\/d) assuming d is positive.\nAnswer: d**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*t - 4. Let h be (-1 - (t + 0))\/(4 - 5). Sort -7, -5, h.\nAnswer: -7, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from rlrtybw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g. Suppose -y - y = 0. Suppose y*i = i - 3. Let d(h) = -h**2 - 3*h + i*h. Calculate n(d(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - d - 11 = 3*p, 8 = -2*p - 2*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3140534.\nAnswer: 2, 1570267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005817403252 to 6 dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*j - 7 = -15, 2*q + 11 = -3*j. Solve q*c = -3*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a - 105*a + 738 = -30*a. What is w in -87\/8*w**2 + a*w - 87\/8*w**3 + 9\/2 + 63\/8*w**4 + 27\/8*w**5 = 0?\nAnswer: -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*p + 12 = p, -u = 4*p + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 33, 41, 49, 57, 65?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 6*q + q. Solve q = s - 0 - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -4*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130092985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1725 + -1579. Solve 0 = h - 150 + t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 11*i**2 - 4*i**2 - i**3 + 0*i**4 - 4*i + 3*i**4 - 8*i**2 to the form h*i**4 + u + j*i**2 + c*i**3 + d*i and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 7*u**2 + 5*u + 3. Let z be b(8). Let x = z + 43. Solve -3 = -5*v + x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -101. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/(-297))\/(1\/(-6)))\/((-2844)\/(-453618))\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 28, 37 in increasing order.\nAnswer: -134, 28, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*7\/(-1) + 548 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -48*z**3 - 22*z**2 - 4*z. Let t(x) = -48*x**3 - 23*x**2 - 3*x. Let r(q) = -3*m(q) + 4*t(q). Find the third derivative of r(g) wrt g.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4518 - -7030. What are the prime factors of q?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -230 - -335. What is the greatest common divisor of s and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmemememeeemmme. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6991+5988.609\nAnswer: -1002.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101130456 divided by -4?\nAnswer: 25282614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867097 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:00 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056441 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3204 and 38270.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2*m + 27 = -5*z, m = 4*z + 24 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8 = -0*s. Suppose -5*d = 2*m - 150, 5*m - 2*d - 263 = s*m. What is the remainder when m is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r. Suppose u - 6 + 1 = -4*w, w + 4 = r. Calculate the remainder when (122\/(-2))\/((-2)\/2) is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*o - 90*o + 47*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/2*-5*24\/(-280). Suppose -3*x + 5*y - 7 = x, -y = -x - 2. Let z = r + x. Solve -u - 3*l - 2*l - 10 = z, 3*u + l = -16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.2041m to kilometers.\nAnswer: 0.0082041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*c + 1, -b + 6*c = 4*c - 2. Find the second derivative of 2*a**5 - 19*a**b + 19*a**4 + 2*a wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvkqjgf. What is prob of picking 1 f and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 748 - 936. Let w = 313 + -312. Which is greater: w or x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/111*33522\/(-7248).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3\/3 - 70244*o**2\/3 - 281102*o + 1054020 = 0.\nAnswer: -15, 3, 35134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -374, -3067, -10380, -24623, -48106, -83139?\n\"Answer: -385*q**3 + 2*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 65?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1564 + 12?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, n: 16, z: 1}. What is prob of picking 1 z, 1 n, and 2 f?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:05 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2. Let z(u) be the first derivative of 10213*u**3\/3 - 5962. What is i(z(g))?\nAnswer: -104305369*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7756)\/(-2588) - 3)*40\/680. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35054*n**3 + 28965*n**2.\nAnswer: 210324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*k - 2*b + 14, -2*k = -6*b - 22 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/44 and -131\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461200 is divided by 304.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a**4\/3 - 986*a**3\/3 + 7342*a**2\/3 + 28586*a\/3 - 2530 = 0. Calculate a.\nAnswer: -3, 1\/4, 11, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 3*j**3 - 3*j**3 + (-328*j - 246*j + 6*j - 18*j)*(3*j**2 - 3 + 3).\nAnswer: -1756*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**3 - 4*c**2 - 4*c - 3. Let g = 12 + -8. Let x(j) = -5*j**3 + g*j**3 + 4 + 5*j**2 + 8*j - 3*j + 7*j**3. Determine -5*v(q) - 4*x(q).\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/45590 and -93\/2162.\nAnswer: 1048570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -124850\/37 greater than or equal to -3374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 184508 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, h: 3}. What is prob of sequence hoh?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3899*o**3 + 5*o - 7093*o**3 - 4772*o**3.\nAnswer: -7966*o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 13*s**2 + 13*s**2)*(s - 2 + 2).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(448) + 1).\nAnswer: -64*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g + 74. What is m(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-78)*4\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17677, 35049, 52399, 69715, 86985, 104197, 121339, 138399?\nAnswer: 155365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 202. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 - (-3 + (-3 - -6)). Find the second derivative of -h*r**2 + 3*r + 9500 - 19*r**2 - 9514 wrt r.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4.6. Let f(n) = n**3 - 8*n**2 + 11*n + 4. Let b be f(7). Let o = -65\/2 + b. What is the closest to -1\/4 in o, r, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -g + 15, -g + 21 = g - 3*z. Suppose 0 = -g*r + 5*r. Let w = 225 + -221. Solve r = -3*o + 5*a + 10, -4*o = -3*a + 1 + w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, -1160, -1\/11 in increasing order.\nAnswer: -1160, -1\/11, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -12 + 4 + (-3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199241 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.909 - 0.031. Let n = -0.06 + i. Let l = -2.999995 - n. Round l to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = 12*o - 341 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5024778 and 609064.\nAnswer: 20099112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 - -500. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 2*z - 2. Let m be k(-2). Suppose 2*r + 0 - m = 0. Let w be ((-15)\/10)\/((-3)\/(-4)). Which is the nearest to -1? (a) w (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/((-8)\/40)*1. Suppose -n*g = g - 1011. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6593 is divided by 1093.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -8, 4\/5 in ascending order.\nAnswer: -8, 0.1, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 + -0.1. Let i = 26 + 76. Let v = i + -99. Which is the second biggest value? (a) v (b) -1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -790 + 430. Let p = 373 + t. Let g = -11 + 16. What is the remainder when p is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 5. Let k be p(-4). Suppose 0 = 5*l - h - 21, -k*l + 2*h = -5*l + 6. Suppose -63 = -x - 5*n, -27 = x - 2*x + l*n. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + p**3 - p**3 + (-170*p + 170*p - 46*p**3)*(3*p - 4*p - p).\nAnswer: 94*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*y - o, -86*y + 455 = -90*y - 157*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-280)*(-10)\/(-15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6 - (69 - 54)) + -8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7261, 6976, 6691?\nAnswer: 6406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 68 + 64*x - 29*x + 16 - 34*x.\nAnswer: x + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.77 + -8.07. Let c = j + 7. Let y be (-7)\/(-28)*-1*2. What is the second smallest value in c, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 5. Let k(f) = -2*f + 6. What is -2*k(y) + 3*l(y)?\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 + 8*m**2 + 3*m + 2. Let z be n(-2). Solve 2*f + z = -0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/3 + 2683456*v**3\/3 - 400049918620*v**2 + 178914725066681200*v\/3 + 1252461883725235750\/3 = 0. Calculate v.\nAnswer: -7, 447245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*p + 5 = -47, -2*a - 7*p = -52 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21005837327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -ccc (base 13) to base 8\nAnswer: -4224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3 + 1. Suppose -2*t - 2*t + 16 = 0, 3*d + b*t = 14. Suppose -d*h = 3*r - 367, -4*r = r + 2*h - 605. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -5*b**2\/2 - 48. Let t(l) = 4*l. What is q(t(f))?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 66736616\nAnswer: 200209848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*f*z**3 - 65*b**2 - 148*b*f*z**3 + 20*f*z**3 - 25*f*z**2 + z**2 wrt z?\nAnswer: -6*b**2*f - 888*b*f + 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2587, -220, 5 in decreasing order.\nAnswer: 5, -4, -220, -2587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -27 * -19.23\nAnswer: 519.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22952 and 2432257868?\nAnswer: 11476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*p = -791, 4*r - 9*p - 1557 = -4*p. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150363330 divided by 50121110\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-10)\/k)\/k**(-3\/14))**(31\/2) assuming k is positive.\nAnswer: k**(-4681\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5 - 8*c**4 - 14*c**3 + 44*c**2 + 48*c = 0. What is c?\nAnswer: -2, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2 - 5*z**2 + 1 + 2. Let y(u) = 9*u**2 - 9. Let c = -52 - -41. Let w(q) = c*v(q) - 6*y(q). Factor w(j).\nAnswer: (j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933755 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*b + 1612*b - 30337 = 0 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + r - 4)*(28*r**2 - 18*r**2 - 41*r - 89*r**2 - 2*r**2) in the form b*r**2 + q*r + k + s*r**3 and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = -2. Suppose -3*m - v + 45 = 0, -j*v + 12 = 2*v. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - ((-35)\/(-4))\/(-5). Let d(u) = -u**2 - 7*u - 12. Let f be d(-5). Let w = -7.04785 + 0.04785. Which is the nearest to t? (a) f (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 1951*p = 1956*p - 80, 0 = 11*t - 3*p + 104 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9\/7)\/(a\/((a**13*a)\/a)))\/(((a\/a**(-11\/2))\/a)\/a*a*a**(-2\/13)*a) assuming a is positive.\nAnswer: a**(795\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.149 and 0.04627.\nAnswer: 0.05316423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.057 - -0.157. Which is the closest to -1? (a) m (b) 5\/2 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347.2979ml to litres.\nAnswer: 0.3472979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -663\/5 - -132. Let n = 57\/334 + -2\/501. Which is the biggest value? (a) z (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u = 616, -7*w - 3*w - 4*w - 62 = 6*w - 2*w + u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 5*h + 28, l - 2*h - 12 = 0. Suppose -l*i - 85 = -3*m, m + 0*i = -5*i + 41. Let z = 4 + 4. What is the remainder when m is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -18. Calculate the remainder when (4 + -3)*(11 - l) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w**4 + 1\/3*w**3 + 0*w + 3*w**2 + 1\/120*w**6 + 0*w**5 + 0. What is the first derivative of h(i) wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.2 (c) 2 (d) -575 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42400588 is divided by 1019?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 108.5. Which is the closest to -0.1? (a) 4 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 11*k - 25. Let p be h(7). Suppose 0 = 4*v - b - 132, 6 = p*b - 6. What is the remainder when 267 is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -797*w - 709*w - 628*w + 657*w - 47264 = 0 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-828)\/84 + -2*(-1)\/(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f - 335 = 417. Solve 12 = -f*m + 13*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430991 is divided by 215451?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**0*t)*t*t*t)**(-2\/37))**(1\/26)\/((t**(-1\/4)*t)**(-11\/5))**(3\/19) assuming t is positive.\nAnswer: t**(46479\/182780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3961 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/4)\/7 + ((-132)\/(-18) - 6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/11 + 64*p**2\/11 - 280*p\/11 + 288\/11 = 0. What is p?\nAnswer: -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2383 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 365721293406 less than 0.5?\nAnswer: -365721293405.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by (-1*32\/24)\/((-16)\/2196)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 2*a**2 - 4*a + 3. Let d be p(2). Let b(c) = -4*c - 3. Let f(y) = -y - 1. Determine d*f(m) + b(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 14. Let j = v + -4. Suppose c = 5*s + 7, -9*c + 2*s + 10 = -5*c. What is the remainder when j is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, z: 1, v: 1, q: 10, m: 3, x: 2}. Give prob of sequence qm.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 7. Let r be y(3). Put r, 0, 11 in increasing order.\nAnswer: 0, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/60 - g**5\/60 - g**4\/24 - g**3\/2 - 9*g**2. Let x(h) = -3*h**3 - 2*h**2 - h - 4. Give 4*l(k) - 3*x(k).\nAnswer: k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5887 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 5*y**4\/4 + 4*y**3\/3 - 3. Let j(l) = -l**2 + 0*l**2 - 2*l**2 - 4*l**3. Let b = -5945 + 5943. What is b*m(v) - 3*j(v)?\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 15.\nAnswer: -23\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -2, 4, -8, -4, -65.\nAnswer: -65, -41, -8, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 6 (b) -4 (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95795.\nAnswer: 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 20*a**3 - 5*a**2 - 11*a - 11. Let g(m) = 12*m + 4 - 5*m + 2*m**2 - 3*m - 7*m**3. Give 11*g(y) + 4*h(y).\nAnswer: 3*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 - 2*k**4 - 3*k**4 + 1 + k**4 - 1 + k**4 - 2*k**4 + 0*k**4 + (1 + k**3 - 1)*(4*k - 2*k - 3*k) - 3*k**4 - 8*k**2 + 8*k**2.\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-29 - -62) + -22?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -405 + 5*i**2 - i**2 - 5*i**2 + 405. Let q(t) = 1 + 8*t - 1. Determine q(h(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m + 22. Calculate s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/(6\/(-45)). Let x(y) be the first derivative of -y**2\/2 + 5*y - 11. Give x(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3340137522 to the nearest integer?\nAnswer: 57794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/3 - 3*i**2\/2 - 7*i + 10. Let o be x(5). Suppose -5*h = 4*t + 24 - 3, 2*t + 13 = -o*h. Solve -2*u = -u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**2 - 11*k**2 + 3*k**2 - 20*k**2 as x + u*k + i*k**2 and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2375662 (base 8) to base 16.\nAnswer: -9fbb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 - (-5 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 977 and 621830213.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 - -268. Calculate the remainder when u is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 0*a**2 + 9*a - 85 - a**2 + 82. Let n = -6 + 12. Calculate d(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l + 1 - 1. Let d = -6 + 8. What is the remainder when 41 is divided by i(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5089 = -t + 2*k, 5*t - 3*k = 9*t - 20345. Suppose 50*i = t + 2213. What is the remainder when i is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -472 - -717. Let n = -233 + v. Solve -n*t - 9 = -15*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54 and 0.135048.\nAnswer: 54.135048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + 107 + 7*p - 14*p**2 as j*p**2 + o + i*p and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4}. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v**2 + 16*v - 37. What is the remainder when 184 is divided by w(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s**2 - 469*s + 209*s + 260*s.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 0.05, -2\/7, 5, 32, -0.5 in decreasing order.\nAnswer: 32, 5, 0.05, -2\/7, -0.5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4*3*970\/4365.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-4)\/(-10))\/(-1))\/(-1). Which is the nearest to m? (a) -3 (b) -2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -15. Suppose -s*v = -473 + 125. List the prime factors of v.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -2\/53 (c) -10 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -21 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1 + (-1 + 2 + 0)*(2 - 1 + 0) + 0 + 1 + 1)*(8 - 2*d + 13 + 4*d).\nAnswer: 10*d + 105","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2133, -2142, -2157, -2178, -2205, -2238, -2277?\n\"Answer: -3*o**2 - 2130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**5\/20 + 2*n**4\/3 - 7*n**3\/6 + 11*n**2\/2 - 3*n + 8. Give d(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from wewvvvweeww.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20390 + -943. What are the prime factors of o?\nAnswer: 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13310428 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16507 greater than 16405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 600\/550 - (-3913)\/(-3718)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/9, 862, -1\/8, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26\/(-52))\/(1\/(-306)). Suppose -10*t + j = -57. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v - 6*v + 0*v - 2*v - 8*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5)*a)\/(a\/(a\/(a*a**(1\/7)))))\/(a**6\/a**(-1)) assuming a is positive.\nAnswer: a**(-264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 2*m - 5. Let f be g(4). Suppose f*p - 57 = -5*l, 4*p + l - 76 = 6*l. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -775.3 + 775. Let b be ((-8)\/12)\/((-4)\/(-18)). What is the third biggest value in y, b, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 785 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.288 + -6.96?\nAnswer: 434.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 8*s**2 + 709 - 709 + 0*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-544)\/12*(-2)\/230. Let u = 6\/23 - z. Sort u, 2, 3 in decreasing order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2639704865 minus -0.2?\nAnswer: -2639704864.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -315 - 0.524574\nAnswer: -315.524574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.13 - -0.03. Let g = 7 + -93\/13. What is the closest to -1\/2 in 2\/15, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (4 + -5) - -7. Let r be 3 - (-3 + 2)*k. Let x(f) = 7*f - 7. Does 16 divide x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.712339ml to litres.\nAnswer: 0.003712339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4 = 2*g, -4*g + 57 = 5*b. Solve 5 + 34 = -b*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 897200464 + -557290464. What is b rounded to the nearest 1000000?\nAnswer: 340000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -693 + 721 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.7*3.7.\nAnswer: -91.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -149*u - 1788. Let b be c(-12). Solve b = -4*q + 12 + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.356347 centuries to months.\nAnswer: 427.6164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*m + 72*m - 2. Solve 3*y + 2*n = -3 + 11, 2*n + m = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q. Let u = -4 + 3. Let l be u\/(-2)*2*0. Solve l = -3*n - s - 9, q = -n + 3*s + 2*s - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (3 + 3 + sqrt(76) + sqrt(76))**2 - ((sqrt(76) + sqrt(76) + 5*sqrt(76))*-5)**2)*6*1*-4.\nAnswer: -1200*sqrt(19) + 2226240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 14*u**2 + 3*u + 18. Suppose -2*q - 4*k = 6, 32 = -4*q + k - 4*k. Let s(x) = 5*x**2 + x + 6. Let p(y) = q*s(y) + 4*j(y). Determine p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 4 (c) 1\/3 (d) -218872\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -28.4, 0, -0.5, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 22*p + 151. Let f be c(-8). Solve f = 11*b + 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31925 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702600?\nAnswer: 2, 3, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152))\/sqrt(8) - sqrt(57)\/sqrt(3)*3 - (-6*-1*sqrt(19) + (sqrt(76)\/sqrt(4))**2*3).\nAnswer: -57 - 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1942.18 - -1961. Let i = u + -19. Let d = i - -0.04. Which is smaller: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 167?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 364022 at least as big as 363795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1288243 = 4*y - s - 616981, 4*s - 476289 = -y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824 = 117*h - 14*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50786033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) - (-96)\/18. Suppose 5*o + 9*h - 4*h + 90 = 0, -4*o + q*h - 72 = 0. Let c = o + 51. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m - 11 + 11)*(-2 + 2 - m)*(29 - 29 - 15*m)*(-4*m + 4*m - 4*m) to the form u + n*m**4 + b*m**3 + d*m + z*m**2 and give n.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(612) + -2 + 1.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45 and -3?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*l + 15 = 0, 12 = 5*l - l. Solve -n - 3*o - 8 = s, 0*n - 4*o - 2 = -3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-1 - sqrt(77)\/sqrt(112))**2.\nAnswer: 4851\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.073 + 1.3.\nAnswer: 1.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)\/(2 + -4). Suppose -2*o + 3 + 3 = l. Suppose 8 = o*s + s. Calculate the lowest common multiple of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/1703 and 91\/31440?\nAnswer: 408720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3619, 7238, 10859, 14482, 18107, 21734?\n\"Answer: i**2 + 3616*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 34*z**2 + z + 172. Determine n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95492788?\nAnswer: 2, 23873197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -0.4, 1, -1, -2\/7, 73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14386 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**3 - 114*u**2 + 420*u - 408 = 0.\nAnswer: 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43901 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 19*a**2 - 18*a + 5. Let o be b(-18). What is the common denominator of 31\/12 - (o - 2) and -53\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 368, 580, 826, 1118, 1468, 1888?\nAnswer: 2390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -67 + (-28 - 2 - (-501 - -480))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 5) + (7*255)\/(-3). Let l = x - -604. Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -949*d**2 - 172*d - 1897183 wrt d?\nAnswer: -1898*d - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 34*q - 218. Let f be n(-22). What is the nearest to 0.05 in -2\/7, f, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - (-206 + 202)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115999 and -0.05?\nAnswer: -5799.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7951.674cm to meters.\nAnswer: 79.51674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 514 and 125930?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15532535 by 6.\nAnswer: -15532535\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -6\/7 (c) 1\/4 (d) -0.5 (e) 0.51 (f) 457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0\/a)\/(a**14*a))\/(a**(-22\/5)\/(a**(-5\/9)*a)) assuming a is positive.\nAnswer: a**(-502\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 242*a**5 - 1034*a**4 - 1090*a**3 + 874*a**2 + 848*a + 160 = 0.\nAnswer: -1, -4\/11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2591726 != -2591726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*u**2 + (2*u + 0 + 0)*(u + 4*u - 3*u) + (3*u - 3*u + u)*(-1249*u - 52228 + 52228) in the form w*u + b + s*u**2 and give s.\nAnswer: -1243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -15 + (-4 - -15) + -6 - (139 - -6).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255046 (base 7) in base 12?\nAnswer: 234b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 25. Suppose 3*l = -2*l - t*u + 762, 4*l + 5*u = 607. What is the remainder when l is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98344?\nAnswer: 2, 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67765582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 14*x + 4. Let m(p) = -16*p**2 + 70*p - 21. Let s(b) = 2*m(b) + 11*q(b). Let y be s(14). Solve 0 = 3*n - y*h - 22, 3*n + 4*h - 3*h = 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 82, 173, 300?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = -3. Let n = 3571 - 3571. Sort n, 4, x in descending order.\nAnswer: 4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - f**2 - f - 2. Determine o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 920\/18 - (-21)\/(-189). Let f be (-17)\/(d\/(-6)) + 22. Sort -1\/3, 0.3, f in ascending order.\nAnswer: -1\/3, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 56 = -54. Let j be (-8)\/20 + d\/5. Suppose j = 4*x - 8*x. Let g(c) = -5*c**2 + 2*c + 1. What is g(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -349, -314, -229, -70, 187, 566, 1091?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:13 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -460.63528 to zero decimal places.\nAnswer: -461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25286169 and 4923.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 4:50 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a - 38*a = -b + 2*a - 50, -30 = 3*b + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 2208.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 13 = -2*g - 3*n, -5*n = -15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = 2*u + 15, 3*u + 5*m + 27 = 0. Let j(o) = o**3 + 9*o**2 - o + 18. What is the tens digit of j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/3 - 32*i**4\/3 + 130*i**3 - 2300*i**2\/3 + 6625*i\/3 - 2500.\nAnswer: (i - 12)*(i - 5)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnpxpknkxnx?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 0)*(121*s + 63*s + 26*s + 37*s) in the form g*s + u and give g.\nAnswer: -1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from dkjdsddsdsjdnk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 42352\/181 (b) 26 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 614 - 599. Let d = 0.03 - -21.97. Let o = v - d. Are o and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 4*m - 2. Let c be n(-8). Is (0 - c)*(-8)\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(242) - (sqrt(242) - ((sqrt(242) + -2)**2 + 5 + sqrt(242) - sqrt(242))))*-6.\nAnswer: -1476 + 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:08 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-11*12\/(-462)*14)\/(2\/3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10835366*m**2 + 19539729.\nAnswer: 21670732*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208, 207, 204, 199?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 38*f + 63. Let c be l(9). Suppose 4*h + 4*n - 2404 = 0, 3401 - c = 5*h - 4*n. Round h to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, -0.1 in ascending order.\nAnswer: -13, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/260 and -103\/78?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3180 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 21. Solve h = -4 + i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496652 = 7*t - 496624. Let i = 0.4 - -0.4. Which is the third biggest value? (a) -1 (b) t (c) 0 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -1\/40*i**4 - 2\/15*i**3 - 38 + 0*i - 3\/20*i**2. Factor f(u).\nAnswer: -u*(u + 1)*(u + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 607001955.9999871 + -607002059. Let f = -0.012 + -102.988. Let n = g - f. What is n rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1 + -1 - (-56)\/27). Let z = -95 + 230. What is the highest common factor of z and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/2 + 304779*s**2\/2 - 11610289260*s - 150959515304 = 0 for s.\nAnswer: -13, 152396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/49, -2\/7, 9220, -1, 2\/3?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7700)\/924*(-36)\/(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*z + 15466 = 0, 44*z + 30947 = -2*x + 43*z. What is x rounded to the nearest 100?\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d - 57 = 39*d - 517 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11221302311 + 21?\nAnswer: -11221302230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, q: 3, z: 1}. What is prob of picking 1 n and 3 q?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -3) + 15 + 8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnreeenrrrr. Give prob of picking 1 n and 1 r.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1320 and 5040?\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*i**4*u**3 + 29*i**3*u**3 - 12*i**3 + 9*i**2 + 42*i*u**3 - 10*u**3 - u**2 wrt i.\nAnswer: 432*i*u**3 + 174*u**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 243 - 79. List the prime factors of p.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 18 = -3*d, -8*d - 2*d + 12*d = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/15 (b) 3 (c) 1.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933230167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 4*f**3 - 4*f**3)*(0 + 1 - 8).\nAnswer: 35*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 801 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12467347 (base 8) to base 7.\nAnswer: -32431406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991725?\nAnswer: 3, 5, 7, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(567) - (2 + sqrt(567))) + sqrt(567)) + sqrt(567) + 0)**2 + (sqrt(49)\/sqrt(112) - sqrt(7) - (sqrt(567) + 1 + sqrt(7))).\nAnswer: -331*sqrt(7)\/4 + 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*m**3*s + 8152*m**3 - 3*m**2*s + 21*s wrt s.\nAnswer: 19*m**3 - 3*m**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 2. Let k(b) = -3*b - 1. Let c(u) = -2*u - 1. Let a(w) = 5*c(w) - 4*k(w). Calculate 7*a(n) + 4*g(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -214 + 98 - 7106*m + 116 in the form h + g*m and give g.\nAnswer: -7106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4*t - 4)*(2*t + 3*t - 2*t + 0*t + 0*t - 2*t + (-6 + 0 + 4)*(-t + 0*t + 3*t)) + 12*t - 44*t**2 - 8*t - 4*t as p*t + w*t**2 + k and give w.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3200*x**2 - 10010*x + 1815.\nAnswer: -5*(10*x + 33)*(64*x - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 37*o + 79*o - 2434*o.\nAnswer: -2313*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r - 4 = o, 3*r = -4*o - 11. Let x = -6 - r. Let k(m) = 2*m - 3. Let u be k(4). What is the closest to x in u, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1488 and 1418808?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 9*s - 27 = -3*o, -4*s + 45 = 3*o. Suppose -t + 3*n + 1 = 0, -s*t + 5*t + 43 = n. Calculate the lowest common multiple of t and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 52*y**2 - 2*y + 1. Let x be j(1). Let h = x + -26. Solve -o = -6*o + h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 15. Let g = 1 + -0.7. Let r = 0.5 - g. What is the closest to t in -0.3, 2, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 - 5 + 1 - 5*f**2 + 4*f**3. Suppose t + 2*p = -1 - 2, 12 = 4*t + 2*p. Let x be i(t). Is -5 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrrbbrrrbbrb. Give prob of picking 4 r.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 0.127370114?\nAnswer: -0.527370114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3 - 48*s**2 + 50*s = 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) - 1 - (0 + -508). Let t be ((-64)\/(-24) + -10)\/(4\/(-12)). What is the highest common divisor of o and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-2)\/(-8)))\/(84\/63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = -2*f + 45, -f = 2*y - 18. Let l = f + -19. Solve -5*w - 4 = l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/10, -116, -1, -5, 3\/4?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -10, 2*w = -5*h + 132. Suppose -65 = -5*t - i, 5*i = t - w + 22. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2675931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(209) - (sqrt(209) - sqrt(209)*2 - sqrt(209)) - sqrt(209))*4)\/(sqrt(110)\/(2*1*sqrt(10) + sqrt(10))))**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-40)*-1)\/(-2 + 0)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -433 - -1433. Suppose -i - 4*x = 3*i - l, -3*i + 2*x + 760 = 0. Suppose 0 = -2*w + 5*w - i. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Let a(d) = -2*d + 4*d**2 + s*d. Let m(h) = -2*h**2. What is a(m(v))?\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) 5 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 12. Let z(l) = -12*l**2 + 5*l + 7. Let p be z(8). Let i = p + 723. Solve -2*u - i*u = q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -53805.665?\nAnswer: 53806.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 22. Suppose -10*g + 15*g + 21 = a*d, 4*d + g - 51 = 0. What is the remainder when 43 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 6, y: 4}. What is prob of sequence ybyy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 7:10 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -240 - -242. Suppose -s - h + 3*h = 3, 2*s = -m*h - 6. What is the closest to -40\/3 in 1, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + 12 - (5 - 2) - -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 143554, -2, 8.7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -256 at least as big as -256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 387147961 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, h: 6, k: 4, a: 1}. What is prob of picking 1 k and 2 l?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5775 = 2*a. Suppose 2815 = 5*n + a. Let b = n + 101. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463434233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {h: 1, j: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5 = -3*r, 2*r + 12 - 22 = 2*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/81?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -17*m**2. Let t(r) = 34*r**2 - 2810. Calculate t(c(s)).\nAnswer: 9826*s**4 - 2810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 35*s + 84 = -20*b, -3 = 3*b - 3*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*r - 84 + 30, r - 25 = 2*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/54 - 8*j**3\/27 + 16*j**2\/9 + 5*j. Factor q(i).\nAnswer: 2*(i - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 - 1 + 1)*(0 - x + 0) + 81*x - 6*x**3 - 81*x to the form u + p*x + d*x**2 + o*x**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4603977 decades to centuries.\nAnswer: 0.04603977","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 137.\nAnswer: 10\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -4, 230, 4, 5 in decreasing order.\nAnswer: 230, 5, 4, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26813, 53653, 80493, 107333, 134173, 161013?\n\"Answer: 26840*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3 + 20\/3*j**2 + 2\/3*j - 2\/3*j**3.\nAnswer: -2*(j - 10)*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264870?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 3*j - 11*j**2 + 11*j**2.\nAnswer: -13*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 255 = 11*d. Let l = d - 26. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 11020?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 263, 5, -0.2, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 105*c**2 + 25*c - 1. Let q(m) = -55*m**2 + m - 1. Calculate -2*q(p) - v(p).\nAnswer: 5*p**2 - 27*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*p - 4 + 8, 4*p = 3*k - 4. Let a = 19 + -13. Suppose -l + a = p*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41395038667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-2)\/((-10)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 99533755, 199067509, 298601263, 398135017?\n\"Answer: 99533754*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5 + 342*s**4 + 6236*s**3 + 29556*s**2 - 6238*s - 29898 = 0. What is s?\nAnswer: -151, -11, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 - 14*j**2 - 5*j - 8. Let z(f) = 2*f**3 - 9*f**2 - 3*f - 5. Suppose 4*m = h + 30, 5*h = -6*m + 5*m + 18. Give m*z(y) - 5*x(y).\nAnswer: y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + t**2 + 42. Let i be ((-6)\/4 - -2)*0. Let b be p(i). Let a = 169 - b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1355, 10198, 34039, 80378, 156715, 270550, 429383?\n\"Answer: 1250*x**3 - x**2 + 96*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1281 + 1270. Sort -3, 4, b, -2 in increasing order.\nAnswer: b, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1851*4.\nAnswer: -7404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1649 - 1650. Which is the nearest to 1? (a) 7 (b) -3 (c) 33 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 + 4*s**2 + 3*s + 2. Let r(u) = u**3 + 3*u**2 - 2. Let b(q) = -q**3 - 4*q**2 + 3. Let z(l) = -2*b(l) - 3*r(l). Determine -t(x) - 4*z(x).\nAnswer: x**3 - 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*((-2*sqrt(132))\/sqrt(12) + -2 + 0 + sqrt(11)))**2.\nAnswer: 120*sqrt(11) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106321752*j - 798806838.\nAnswer: -106321752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4108417 at least 4108406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -47. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t - 1. Let f(l) = -21*l + 5. Let v(a) = a**3 - 3*a**2 - a + 4. Let s be v(2). What is s*f(g) - 11*h(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from osovoosso?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 + 6*y - 1. Let f be r(-5). Let i(w) = -10*w - 2. Calculate the remainder when i(f) is divided by (-3)\/((3\/18)\/(40\/(-36))).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -3)*6.\nAnswer: -18 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b - 5. Let p(w) = w - 859 + 861 + 3*w. Give 2*m(j) + 7*p(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6358 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53515 - 481634\/9. Let i = -219\/260 - -6\/65. Let c = -0.07 + -0.23. What is the third smallest value in i, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4487826 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-790)\/711*6\/(-5). Factor x - 14\/3*j - 2*j**3 + 16\/3*j**2.\nAnswer: -2*(j - 1)**2*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/276 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -640781, -640772, -640765, -640760?\nAnswer: -640757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*n - n + 21 = 0, 3*n - 11 = -w. Let y be (-3 - 0)\/(2 + w). Let j = -195 - -195. What is the closest to j in 5, -2\/5, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y, -6*x = -x - 1306*y + 1300*y + 95 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m + 10, 0 = 2*i + 2*m + 28. Let o be i\/3 + (-210)\/(-1 - 2). Suppose 7*b = 150 + o. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010100 + 10?\nAnswer: -11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -45*p - 1080. Determine o(-22).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 20*n**2 + 9848. Let x(w) = -3*w. Give l(x(a)).\nAnswer: 180*a**2 + 9848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 252\/(-1134)*(66\/20)\/11\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 717\/(-30) + 1 + 1 + 173952\/(-289920).\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 - c**4\/3 + 7*c**3\/6 + 71*c**2. Determine n(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -7)\/(2\/(-2)). Let w = j + 4. Solve w*x + 13 = d - 1, -4 = -d + x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1. Let o be 0 + d - (0 - 2). Suppose -o*k = k. Put 2, -3, k in increasing order.\nAnswer: -3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/35 (b) -165 (c) -54\/19 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86 + 2 - 0) + 416 + -407 - -18?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 178 * 39\nAnswer: 6942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k + 5*c = 15, 5*c - 3 = k. Let r = -2 + 7. Suppose -k*p - 3 = -r*p. Is 10 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.12 - -1.52. Let y = w + -1.5. Which is the nearest to y? (a) 2\/7 (b) -3\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/12 and (-270)\/(-9)*(-4)\/110.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 748.0371 + -747. Let g = u - 0.0371. Do -3.96 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/6076 and -31\/453544.\nAnswer: 14059864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820 divided by 4?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o - 2. Suppose 3*n + 2*n = 20. Calculate b(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 94*q - 87. Does 4 divide a(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2115 + -2114.6. Let j = -793\/8 + 99. Which is the third smallest value? (a) -6\/7 (b) n (c) j (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 0 = 12*m - 12*m + 30, 2*s = -2*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/10 of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4400))\/sqrt(4).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -98820 - -3361?\nAnswer: -95459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3778, -7533, -11288, -15043, -18798?\n\"Answer: -3755*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2 and 404.\nAnswer: -888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5 + 124*s**4 + 246*s**3 - 63028*s**2 - 310448*s - 247296 = 0. What is s?\nAnswer: -46, -32, -4, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1104, 4296, 9586, 16980, 26484, 38104, 51846?\nAnswer: 67716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -21 + (1 - -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/3*2340\/(-325). Let u be (-8)\/l - 455\/2790. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 15 = 2*l - 2*h, 3*l = 5*h - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140544*a*r + 6*r + 24637 wrt a.\nAnswer: 140544*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1560 and 30264.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 29*c + 750 = -11*c. Solve -49 = c*b + 76 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 1, g: 2, w: 1}. Give prob of sequence yg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -17*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/14)\/((-1)\/2). Suppose -b + 4*h = -29, b + n*h - 3*h + 1 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.45 + -0.05. Suppose 4*x - 4*p = -0*x + 40, 4*x - 24 = -4*p. Suppose -2*t = -x - 2. Which is the third biggest value? (a) r (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 37 = -14. Solve -5*i - 2 - h = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*(6*2 - 1) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 65. Let r be (w\/99)\/((10\/(-8))\/5). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-108)*6\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*a + 22 - 88, -23 = -g - 2*a. Suppose 2*o - 1 = -j, -16 - g = -5*o + 4*j. Let r = 18 - o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -30*q + 199. Give v(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by 4.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 + 11. Let b be s(-6). Let y = -132 + b. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/12)\/(1*-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105083 - -105091. Suppose -116\/3*g**2 - 12*g**3 + 0 - l*g = 0. Calculate g.\nAnswer: -3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 122336?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19069 + 15009 = 580*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -130695 and -130696 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eight fifteenths of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32779\/14 + -2336. Let z = -2513\/60 - -391\/12. What is the common denominator of z and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s + 1\/4*s**4 - 1\/2*s**2 - 5 - 1\/3*s**3. Find w, given that z(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2929983, 5859966, 8789949?\n\"Answer: 2929983*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011200013 (base 4) to base 16.\nAnswer: 1145807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 4. Let i(a) = -a + 2. Determine 6*i(q) + 2*t(q).\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9416.1061 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 125798819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 3*s + 4*s)*(3 + 0 - 9) - 3207*s - 1085*s + 1721*s - 2647*s in the form w + r*s and give r.\nAnswer: -5224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26862 is divided by 744?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3300*g - 1649*g - 14*g**3 - 1649*g + 2*g**2 + (-g + 4*g - 2*g)*(-5*g**2 + 2*g**2 + 0*g**2).\nAnswer: -17*g**3 + 2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44255 - -3?\nAnswer: -44252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 215\/3, -1, 0.2, -0.3 in increasing order.\nAnswer: -1, -0.3, 0.2, 215\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r*s**2 + 483247*r*s + 5723*s**5 + 12*s**2 wrt s.\nAnswer: -6*r + 114460*s**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*x - 2840, r + 1571 + 1244 = 2*x. Is x a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 n, and 1 w when four letters picked without replacement from {e: 1, k: 1, n: 2, w: 1, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1650 + -41?\nAnswer: 1609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 196*i**2 + 23*i - 2. Is q(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (93*-1)\/(-1). Suppose 0 = -4*l - 3*t - 213, l + a = -l + 4*t. Let n = 53 + l. Solve 3*d = -4*q - 23, -n*q + 6*d + 11 = 3*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*f**3 + f**5 - 10*f**5 - 27*f**3 + (0*f**3 + 0*f**3 + f**5)*(2 + 0 + 0) - 2*f**5 + 3*f**5 + f**5.\nAnswer: -5*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:48 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**30\/((c*c\/c**0)\/(c\/c**(2\/31))) assuming c is positive.\nAnswer: c**(1629\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -194785810*l**3*r*v - l**3*v - l**3 + 544*l**2*v - 2*l**2 - 343*v - 1 wrt r?\nAnswer: -194785810*l**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649790 is divided by 3964?\nAnswer: 3658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/22270 and -123\/850.\nAnswer: 111350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 355*q + 355*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1634)\/6536)\/((-3)\/(-152)*2\/3).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30113661, 60227320, 90340979?\n\"Answer: 30113659*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 312, 551, 716, 771, 680, 407?\n\"Answer: -6*w**3 - w**2 + 284*w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(4\/7))\/(n*n**(-5)*n))\/(n\/((((n**(-1)\/n)\/n)\/n)\/n))**(-47) assuming n is positive.\nAnswer: n**(2006\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(8\/17)))\/f)\/f)\/(f\/f**32) assuming f is positive.\nAnswer: f**(485\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 8068010?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 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: Collect the terms in -w**3 + 51*w - 16*w - 22*w - 13*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 0*h = 2*r + 1, 0 = 4*r - 5*h + 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/64 and 1\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37760)\/(-2065))\/(44\/(-231)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(-2*sqrt(3)) + (1*sqrt(17))**2 + 2 + -3 - (sqrt(17)*1*6 - 3*sqrt(272))**2.\nAnswer: -596 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 908*d. Let s(c) = 26*c. Determine s(i(f)).\nAnswer: 23608*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 54777*a - 2191080. Calculate t(40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(-2 - 3 + 3) + (5 - 5 - 3)*(12 + 3 - 2))*(-31*x + 55 - 55)*(4 - 4 + 3*x).\nAnswer: 3999*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 23*h - 6 = -2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 3*o. Let j be (o + -4)*-3 + 1. Let g(a) be the third derivative of -a**6\/120 - a**5\/15 - a**4\/24 - a**3\/6 - a**2. What is g(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6) + 39 - (-20 - (-19 - -5))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1026? (a) -24 (b) -2\/1015 (c) 0.7 (d) -5 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from cccecec.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 0*w + 3*w)*((-1 + 0 + 0)*(-5 + 5 + 3) - 10 - 1 + 2) in the form c + y*w and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5775960934?\nAnswer: 2, 1471, 1963277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (895*c + 11704*c + 26238*c + 49789*c)*(2 - 7 + 3) in the form f + g*c and give g.\nAnswer: -177252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -542.97 - 97217\nAnswer: -97759.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose 12 = 4*t - 8. Suppose -t*j = -8*j. Is n at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -32, -44, -56, -68, -80?\n\"Answer: -12*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 29660188.43 to the nearest one thousand.\nAnswer: 29660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -207208 divided by 236.\nAnswer: -878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 54 = -6. Let a = -3 - -7. Is o at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhthxthmxthvqtxtthv. What is prob of sequence tthm?\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2098587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 14. Determine t(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*r = 135, 20 = r - 5*r. Let y = a + -50. Let h = 32 - y. List the prime factors of h.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - 4*a + (-1 + 2 + 2)*(-a + 4 - 4) - 1 + 2 + 6 + 2*a)*(-6 + 4 - 3)*(-2*a**2 + 0*a**2 - a**2).\nAnswer: -30*a**3 + 105*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 4*q**2. Let u be f(4). Let k = 3 - u. Which is the second biggest value? (a) k (b) 2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*z - 71*z + 471 = -32*z. Suppose -h = -5*h. Suppose h = 2*d - z*x - 35, -d - 6 = 3*x - 1. Solve d = 3*f - 8*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 0 - (-275 + 279).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15345422 (base 9) to base 11\nAnswer: 43537a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 4*n**3 - 566*n**2 + 376*n - 1635. Find g, given that h(g) = 0.\nAnswer: 1\/3, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3266 + -1106. Round o to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2\/7 (b) -5 (c) -314 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-4)\/(-264) + (-12 - (-65860)\/(-1221))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1753, -3340, -7641, -16012, -29809, -50388, -79105?\nAnswer: -117316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 156 = -3*m - 163, 4*m = 2*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + (-3*sqrt(192))**2 - sqrt(192)) - (3*sqrt(192))**2*1*2) + 0.\nAnswer: -6912 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 283920 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: (-1)\/(((-168)\/(-98))\/(-12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/20 + x**4\/6 - x**3\/2 + x**2\/2 - 10*x. Let l be f(-3). Is (2 - 5) + 310*l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3852 + 1124783\/292. Let h = 571\/3796 - t. Let b = 0.3 + -0.1. What is the nearest to 0.1 in -5, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26150, 25952, 25664, 25322, 24962?\n\"Answer: 6*t**3 - 81*t**2 + 3*t + 26222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57778 - 57508 = 27*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3. Let j(h) = h - 1. Let m(k) = -2*j(k) + v(k). Determine m(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 11*r**2 - 27*r - 6. What are the prime factors of m(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 + 3 = 0. Let j(l) = l**3 + l**2 - 2*l - 2. What is j(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 2. Let n be a(2). Suppose 4*q - u = -0*u - 32, n = -q + u - 8. Let b(v) = v + 9. What is the units digit of b(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.26 plus -69?\nAnswer: -59.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42754756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*r - 40*r - 21*r + 8158 + 81*r)*(10*r - r - 3*r) to q + t*r**2 + m*r and give m.\nAnswer: 48948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27051966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 299171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/2 - 1900*z**2 + 114405*z\/2.\nAnswer: -5*z*(z - 29)*(z + 789)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*j**3\/3 - 2512*j**2\/9 + 2102*j\/9 - 88\/9 = 0. What is j?\nAnswer: 11\/249, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 5*w. Let a be o(-4). Solve 3*x - a = -5*l + 5*x, 4*l + 3*x = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -5*n - 21*o - 5, -5*o = -25. Let a = -656 + 929. Suppose n*p = -l + a + 304, 0 = -p + 5*l + 187. What is the highest common factor of p and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 q when three letters picked without replacement from {q: 9, i: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5691 is divided by 711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i + 24. Let g = -15 + 44. Let m = g - i. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 - -1.2. Let c = -1181 - -1178.004. Let z = -0.004 + c. What is the nearest to -0.3 in -4, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/562 + 138\/1405. Let n be 2 + -1 + 1 + -1. Let d be 4\/(-6)*(-6)\/8. Put u, n, d in increasing order.\nAnswer: u, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-1\/6)\/g)\/g)**2)**(1\/15))**(3\/2) assuming g is positive.\nAnswer: g**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 16, e: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2055 and 208240?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3 - 6 - 5) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*y - 1 - 12, 0 = -8*j + 2*y - 92 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -837842 (base 14) to base 7\nAnswer: -52504512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1712565314 to 4 dps.\nAnswer: -0.1713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - -37)*(-7)\/245 - (-4)\/(-7). Let k = -5 + -1. Let o be (-3 + 2)*k\/(-3). Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 14 - 14 = 0. Suppose r*n - 1 = -5*w + 264, -15 = -3*w. Suppose 6*d - n = -0*d. Calculate the remainder when 39 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 399739, 399744, 399753, 399766, 399783, 399804?\n\"Answer: 2*x**2 - x + 399738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 - 55*g**3 - 13*g**3 + 67*g**3.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 13146766?\nAnswer: 13146762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and 0.26.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/(25665\/(-1682))*11\/((-66)\/(-45))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7639 - -7645. Suppose -5*a = -13 - 7. Solve -a*g + 2*o - 3 = -g, o = -g - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134880 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 45*t + 4. Let k(m) = -m**2 + 43*m + 3. What is 4*k(x) - 3*y(x)?\nAnswer: -x**2 + 37*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yuu when three letters picked without replacement from vubuvllvvvulbvyu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Let t(c) = 6*c + s + c**2 - c - 2*c. Give t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56b9 (base 14) in base 8?\nAnswer: 35323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 105788\/(-16966) - 8\/(-34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1631? (a) -3 (b) -1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/252*(-18)\/(-15)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152 + -137. Let b(u) = 167 + 5*u - n*u**2 + u - 152. Suppose g = y - 7, 3*y + 49 = -3*g - y. Let v(t) = 8*t**2 - 3*t - 8. Calculate g*v(s) - 6*b(s).\nAnswer: 2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 4)\/((-2)\/(-118)). Let r be (237\/12)\/(2\/16). Let a = r + d. Calculate the greatest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*l**2 - 4615*l - 330.\nAnswer: 5*(l - 66)*(14*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 57390 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-1 - -1 - -1). Let o be 4\/4 + 1*w. Let l(p) = -29*p + 4. Let m be l(-1). Calculate the highest common divisor of m and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/22933 and 97\/10367008.\nAnswer: 736057568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -464 or -474?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g**2. Let p(c) = 2*c + 2869 - 2869. Give p(n(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 16*u - 58. What is the hundreds digit of a(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*j = -23, 0 = -q + 3*j - j + 32. Suppose 4*p - 231 = -35. Suppose -2*t + 3*z + 23 = -q, 3*t = -4*z + p. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44415.8 nanometers in centimeters?\nAnswer: 0.00444158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4306485590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-12)*11000\/(-9625))\/((-2)\/(-147))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.3. Let l = 0.23 - 1.13. Let i = l + y. Which is bigger: 1\/4 or i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-44) + 57\/11. Suppose o*g = 214 - 34. Suppose -4*y - g = -u - y, -3*y = -4*u + 171. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106706964?\nAnswer: 2, 3, 7, 13, 19, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -10\/7791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5465624 > -5465625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*l + 6*l - 2*k, -5*l = 2*k + 2. Suppose 8*o + 17 - 185 = 0. Let u be o\/(-28) + -3 - -4. What is the closest to u in 3\/11, -3, l?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/4, 979\/6, 4, -1 in increasing order.\nAnswer: -1, -0.5, -1\/4, 4, 979\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 3114*u + 808083.\nAnswer: 3*(u - 519)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 11*f**2 - 17*f**2 + 15*f**2 - 23*f**2 - 30*f**2.\nAnswer: -55*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2 - 85*f - 562. Let d be g(-6). Let u = 110 + -69. Calculate the highest common divisor of u and d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 1110313830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 3*t**2 - 2*t. Suppose s + 4 - 35 = 0. Suppose -j - w + 1 = -4*j, 3*j = -5*w - s. Calculate b(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75\/7684 or 1?\nAnswer: 75\/7684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 7. Let p be t(-6). Let h(v) = -13*v**3 - 2*v + 1. Let u be h(p). What is the units digit of u\/(-5) + (-1)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(10*(-4)\/(-60)) - (-24)\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 47522928 divided by -12176\nAnswer: -3903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r**5\/5 + 114178*r**4 + 9056693448*r**3\/5 + 110629721232*r**2\/5 + 69985390608*r + 14479547040 = 0. What is r?\nAnswer: -31710, -6, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15127 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*q - 8990 = 0, -115*q + 8992 = 4*x - 119*q. List the prime factors of x.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3475784?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293979.\nAnswer: 3, 7, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i + 45. Let h = 12 + i. Suppose 0 = -3*j + j - 2. Put -2, h, j in descending order.\nAnswer: h, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 97071.2 (b) 1 (c) -4 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o - 5. Calculate the lowest common multiple of b(-3) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66873 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: Does 1674 divide 11104619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -w + 16, -4*w + 5 = -5*i + 41. Let o(v) = v**2 + 3*v**3 + 15*v + 0*v**3 + 13 - i*v**3. Let x be o(9). Round x to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 557*f - 213*f + 551*f as m + q*f and give q.\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 = -150*q + 81*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14483.79m to kilometers.\nAnswer: 14.48379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1275, -2619, -4853, -7971, -11967, -16835, -22569, -29163?\nAnswer: -36611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13166 + 11314?\nAnswer: 24513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:50 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 849085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6693648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(90\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 236*o - 6365. Let p be l(27). Put -4, -3, -11, p in decreasing order.\nAnswer: p, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8261.\nAnswer: 11, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.4 - 6. Let u = y + -3.4. Let r = -0.9 + -0.1. What is the smallest value in r, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16 - 133 - 4 - 52 + 13*i**2 + 5*i + 3*i wrt i?\nAnswer: 26*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 28 - (-1 + (-4 - (0 + -2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682.0385 minutes to nanoseconds.\nAnswer: 40922310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136610 (base 7) to base 11.\nAnswer: 188a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 55 (b) 2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.7 - -97.3. Let k = 126.0101 - s. What is k rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 11:03 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5878 divide 388463700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.382225889 + 19?\nAnswer: 255.382225889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.16 + -11. Let h = t - 0.66. What is the smallest value in h, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z - 6 = 0. Let h = z - -2. What is the remainder when 9 is divided by (h + 2)\/((-6)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*k**2 + 1 - 43*k - 98*k**4 - 4*k**2 - 2 + 17*k**2 wrt k.\nAnswer: -1176*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18076, -18078, -18080, -18082, -18084, -18086?\n\"Answer: -2*x - 18074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*f - 37, -3*y + 1 = 2*f - 8. Suppose -y*v + 11 = -89. Solve 5*g = -3*k - 12, k - v = -5*g + 6*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*u)*(7*u**4 - 25*u - 14*u**4 + 20*u).\nAnswer: 14*u**5 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14988175 is divided by 1304.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5665031 is divided by 161.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39872117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -0.1162, 5.\nAnswer: -47, -0.1162, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1065511 - -2?\nAnswer: 1065513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 725 + -7983\/11. Suppose -2*f = 7 - 15. Let c = f + -4. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 190*z + 15. Let w(v) = -36*v - 3. Let n(a) = 4*o(a) + 21*w(a). Let m(h) = 8*h - 7. What is 2*m(k) - 5*n(k)?\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 15. Suppose 3*p - 7*p + 120 = t. Suppose 0 = 4*f - 98 - p. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 1\/3, -0.1, 1\/7, 4\/5 in descending order.\nAnswer: 4\/5, 1\/3, 1\/7, -0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 + 31*z**2 + 292*z - 3. Let t = 105 - 108. Let d(q) = q**3 + q**2 - q + 1. Let b(i) = t*d(i) - n(i). Factor b(l).\nAnswer: -l*(l + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000340102751 to 7 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -3*b - 2, 2*b = -3*h - 1 - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3340608?\nAnswer: 2, 3, 127, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4272822\/11 or -388438?\nAnswer: -388438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + 0 - sqrt(85)\/sqrt(45).\nAnswer: 32*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 3. Let n be (b - -2)\/(2\/(-1)). Solve -n = -0*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-68)\/(-4) + 0 - (3 + -3). Calculate the greatest common factor of 153 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2. Let x(d) = -3*d + 6*d + 5*d. Determine j(x(r)).\nAnswer: -256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25547 is divided by 989?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 102 + 19 = 2*t - 26 - 25, 0 = -5*t - 5*v + 9 - 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 0*z - 15\/2*z**4 + 0 + 0*z**2 - 14*z**3 - z**5 = 0.\nAnswer: -4, -7\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**4\/4 - 5*c**3\/3 - 6*c + 3. Let j be v(5). Let d be 0*(-1 + j\/(-4)). Solve -a + s = d, -27 = 4*a + 2*s + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarra. Give prob of picking 3 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d = 38*d + 1862. Suppose 3*j + 533 - d = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 5498.\nAnswer: 5498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.071373 litres?\nAnswer: 6071.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*l = 754 + 346 + 754. Solve 11 = i - 2*n + 4*n, -n = 3*i - l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3 - 0. Suppose -5*j + 2*j - u + 9 = 0, -3*j + s*u = -9. Suppose j*p + 3*n - 29 = 2*p, -10 = -5*n. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20955500*n**2 + 173606302*n wrt n.\nAnswer: -41911000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 + p + 12. Let b(d) = 23*d**2. Give l(b(h)).\nAnswer: -2645*h**4 + 23*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 = 8*g. Let a be 3\/(-3)*g + 5 + -444. Round a to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r - 12. Suppose -p + 3 = 2*a, 0*a - 4*p + r = -a. Solve 2*z + 4*i = 8, -4*z - 4*i = -a*i - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**4\/12 - x**3\/2 - 3*x**2\/2 + x. Let f(d) = -d - 1. Let p(b) = 15*f(b) - 5*w(b). Let m(r) = -3*r. Determine m(p(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 0, -8 - 12 = -5*t + 2*x. Let h be (-420)\/(-49)*42\/t. Calculate the greatest common factor of h and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - h - 3*h - 2, -5*i + 10 = -h. Suppose i*d + 955 = 7*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -94*f**5 - 192*f**4 - 102*f**3 - 4*f**2 = 0.\nAnswer: -1, -2\/47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (-24 - (-10 - (29 + -16))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48786730, -97573468, -146360210, -195146956, -243933706?\n\"Answer: -2*r**2 - 48786732*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**29)\/(l**(-2\/51)*l*l))\/((l*l**(-3\/5))\/(l\/(l\/l**(-22)*l))) assuming l is positive.\nAnswer: l**(-13607\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 118426500 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 3, g: 2, n: 1, y: 4}. Give prob of picking 1 n and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - (-26)\/6. Suppose a + 45 = -v*a. Which is smaller: -10 or a?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 17. Let d be s(12). Suppose d*m = -3*k + 5*k + 16, 2*m - 4 = 2*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28198363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51253 and 477563?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82613 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 629\/119 - (-2)\/(-7). Let h be 6\/18*(v - 2). What is the third derivative of 1 + 8*o**2 + 6*o**6 - h + 0*o**2 wrt o?\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(931) + 1 + sqrt(931) - (sqrt(133) - sqrt(133)*1)\/sqrt(7)) - 5*-1*sqrt(304)*-2))**2*-1.\nAnswer: -115632 - 936*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*z + 12 = 0, -2*o - 5*z = 3*o + 10. Let t(k) = -16*k + 16. Let s(x) = 3*x - 3. Let b(a) = -33*s(a) - 6*t(a). Calculate b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243203?\nAnswer: 243203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. Let m = s - -1. Let k = -0.38 + 0.08. Which is the closest to 0.1? (a) -1 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30258*h**3 + 6*h - 865603 wrt h?\nAnswer: -90774*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 3*j**2 + 1. Suppose 0 = -3*o + 8 - 2. Let z be q(o). Let h = z - -131\/7. Which is the smallest value? (a) h (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 7*y - 10. Let v be l(-8). Is 5 a factor of 6 + -2 + (v - -18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/6 + 5368297*t**3\/6 - 16104927*t**2 + 96629634*t - 193259340 = 0. What is t?\nAnswer: -5368315, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**2 + 5. Suppose k = 5, -19 = -2*m - 5*k - 4. Let f(s) = 13*s**2 + 9. Calculate m*x(p) + 3*f(p).\nAnswer: 4*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(252) + -1) - (-3 + sqrt(252)*2))**2 + -1.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = 84*d + 66714 - 232374. Is 98 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.48526 - 516718?\nAnswer: -516720.48526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1265 - 9.1185. Let k = -11.3 - -2.3. Let u = h - k. Round u to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 0*n - n = 0. Solve n*u + 20 = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, j: 4, y: 5}. Give prob of sequence jjy.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Suppose 4*h = -0*h - 24. Let a(s) = -2*s - 2. Let f(u) = h*v(u) + 2*a(u). Differentiate f(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -125*d**3 - 1018*d**2 - 157*d - 54. Determine j(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008807940634 to five dps.\nAnswer: -0.00881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + (1*2*sqrt(320) - sqrt(320)) - (2*(-1 + sqrt(80)))**2.\nAnswer: -324 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8\/((-8)\/(-48) + (-2)\/(-6)) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 256. Let l(v) = 3*v**2. Determine l(t(i)).\nAnswer: 108*i**2 - 9216*i + 196608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25738.22 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h + 6. Let p be ((-228)\/40)\/(-19)*150\/15. Give v(p).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + (2*sqrt(3))**2) + (sqrt(6)\/sqrt(2))**2*-1.\nAnswer: 5*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**4\/25 - 8866*q**3\/5 + 246373356*q**2\/25 - 1616122904*q\/5 - 8327032208\/25 = 0?\nAnswer: -1, 34, 11066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3, -5*w + 40 = -3*f + 64. Sort -2, f, 26 in ascending order.\nAnswer: -2, f, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-1 - 3*6\/(-18). Let u be (3\/30*-8)\/(r\/5). Solve u*a + 4 = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 795 = l, -l - l + 3*v = -1564. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (18 - -22) + -5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*r = 21, -5*r + 7*r = -3*q + 13. Put -0.3, 5, -5, q in descending order.\nAnswer: 5, q, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 2, c: 1, t: 1, y: 1, n: 1}. What is prob of sequence ytn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**4 + 22*a**2 - 13*a**2 - 12*a**2 + (1 - a - 1)*(4*a**2 + a**3 - 4*a**2) - a**4 - 4*a + 4*a.\nAnswer: -7*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 - 3409635*i**2 - 968734411464*i + 37785828279888 = 0 for i.\nAnswer: -568292, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, p: 5, m: 2}. Give prob of picking 2 p.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.81, 1\/3, -4\/5 in ascending order.\nAnswer: -4\/5, 1\/3, 8.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.47714 rounded to 1 dp?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/30*-8*-25. Let w be d\/(0 - -2)*47. List the prime factors of (1\/2)\/(5\/w).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*y + 1248 = 147*y + 172*y. Suppose -3*k + n = -31, 4*k + 4*n = 2*k + 30. Calculate the smallest common multiple of k and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324\/(-756)*14\/20?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217531?\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(-12)\/(-6). Suppose -2*q + 2*y = -8, -u*q - 2*y + 20 = 2*q. Suppose 4*n**3 + 2*n**3 + 18 - 6 - 12*n - 9*n**2 + 2*n**q + n**4 = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.33213 - -0.03213. Let c be 2\/6 + (-14)\/(-3). Do c and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.22108 * 156\nAnswer: 34.48848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861 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: Factor -3*n**3\/5 - 331323*n**2\/5 - 8612877*n\/5 - 11196081.\nAnswer: -3*(n + 13)**2*(n + 110415)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 22 = -2*q, -3*w + 67 = -w + 65 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/11 + 408*q\/11 - 20808\/11 = 0.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17\/34*5)\/(10\/8). Let m(b) = 10*b + 40. Let d be m(-4). Sort g, d, 7, 4 in descending order.\nAnswer: 7, 4, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 31*n = -119. Let q = n - 1. Solve -2*j - 2*p = -q, 5*j + 3 - 26 = 3*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = v + 5*s - 1, 8*v - s + 64 = 0. Let n = -14 - -7. Let r = 2 + n. Is r less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let k(t) = 4*t - 3. What is k(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*k**3 - k**2 + k**2 - 3*k**2.\nAnswer: 290*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2 = 39226*x - 39222*x, -u - 9 = -2*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*g = -23, -2*g + 4 = -3*q + 7*q. Suppose -4*m = 4*s + 19 + 29, q*m + 36 = -4*s. Which is smaller: m or -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-6)*4608\/(-229632).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - k**3 + 57.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/35*21\/3. Differentiate 2*f**4 - 6 - 2*f**h + f**4 + f**4 wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsbbfbffffffbbbbfffb. What is prob of picking 1 s and 1 f?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -96.868. Let k = c + -1.868. What is the second biggest value in 0, k, -2.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11 = -b + 2, 0 = 4*a - 3*b + 23. Let s(f) = -f**2 - 4*f - 1. Let m be s(a). Solve 5*l + 4*q + 12 = -0*l, -3*q - 6 = m*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -357, -441, -411, -231, 135, 723, 1569?\nAnswer: 2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*v = 20, -g - 11 + 15 = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5974 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2, -124, -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/20 + 20*n**2. Let q(a) = -4*a**2. Determine o(q(d)).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 76 = 2*h - 3*x, 4*x - 104 = -4*h. Suppose h + 8 = q. Calculate the remainder when 36\/24*(-688)\/(-12) is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/12 - 5*r**3\/2 + 8*r**2 - 10*r. Let f be p(-16). Solve 4*t - 11 = -3*b, f*t + 11 = t - 2*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 16) to base 11.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16913135 and 44175?\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-30)\/8 - (186345\/(-2340) + 78).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(352\/1008)*(-2)\/9.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Suppose -u*b - 38 = -88. Let w = 13 + b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 446.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 1524348*d - 4573071.\nAnswer: 3*(d - 3)*(d + 508119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24528, -48794, -72816, -96594, -120128, -143418, -166464?\n\"Answer: 122*p**2 - 24632*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**4)*w*w*w**(-5)*w*((w*(w\/(w**(-1)\/w*w))\/w)\/w)\/((w*w**(-1\/2)\/w)\/w))\/((w\/w**0)\/(w\/(w**(-1)\/w)))**(-39) assuming w is positive.\nAnswer: w**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 11. Let o = 9 + h. Let t(q) = q**2 + 2*q - 4. Let f(n) = -n**2 - 2*n + 3. Determine o*t(v) + 5*f(v).\nAnswer: -v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 17616?\nAnswer: 17616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8942 minus 112121?\nAnswer: -121063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 377 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59245187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 0. Let d = 12.04 - 11.94. Is d at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a443183 + 1?\nAnswer: 6a443184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:30 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = -t + 3*d, 3*t + d - 10 = 0. Let m be (-17)\/(0 + t\/(-4)). Suppose -2*q + 6*q - 68 = 0. What is the greatest common divisor of m and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bppn when four letters picked without replacement from {o: 1, n: 1, b: 1, r: 2, u: 2, p: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/195?\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k. Let f(t) = 241131591*t**2 - 1. Calculate a(f(m)).\nAnswer: 723394773*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 23, 62, 123, 212, 335, 498, 707?\nAnswer: 968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895468.\nAnswer: 2, 473867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 334043 (base 5) to base 13\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53893\/(-30796))\/(-1 + 997\/(-4)).\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 + 168 - 139 = -60*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2 = -17*c + 13*c, -c = -x - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + (-8)\/36. Let x(v) be the first derivative of 1\/3*v**3 + 1\/2*v**4 + m*v + 4 + 0*v**2. What is the third derivative of x(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19402 and 356.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 8, 1, 3 in ascending order.\nAnswer: 1, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18304 is divided by 555?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -126*y**3 - 8*y**2 - 3*y - 4. Let r(p) = p**3 + 5*p**2 + 1. Give -m(w) - 2*r(w).\nAnswer: 124*w**3 - 2*w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -15424.\nAnswer: -92544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -1563415.\nAnswer: -1563415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9027\/(-68))\/((-6)\/32)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-161)\/357 - (-8)\/68. Which is the third smallest value? (a) 4 (b) 1 (c) t (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 52*y. Let b be o(3). Let l = 12 - 8. Suppose 3*i = a + b, -5*i + a + 52 = -l*i. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4cd (base 14) in base 7?\nAnswer: -145546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 275 = -215 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + (1 - 0))*7\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - 174\/(-18). Suppose -3*z + 2 = k, -k + v = 4*k - 2*z. Calculate the smallest common multiple of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*v + 14 - 34, -4 = -2*v + 2*a. What is the remainder when 25 is divided by (1\/(v\/9))\/((-9)\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 - 4*j**2 + 4*j + 3. Let z be l(2). Let i(n) = 4*n**3 + 2*n**2 + n. Let b(g) = 21*g**3 + 11*g**2 + 5*g - 1. Give z*i(k) - 2*b(k).\nAnswer: 2*k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/(8428\/140))\/((-6)\/(-14))*45\/(-35)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 17*a - 1. Let z(g) = g**2 + 8*g. Let v(i) = -2*m(i) + 5*z(i). Is v(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -37*g**3 + 5*g**2 + 5*g - 5. Let w(x) = 55*x**3 - 8*x**2 - 7*x + 7. Give 7*a(y) + 5*w(y).\nAnswer: 16*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263405417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**5\/20 - 7*c**4\/6 - c**3\/6 - 8*c**2 - c - 6. What is n(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 17*m - 9. Let h(o) = -o. Let k(c) = -5*c + 4. Let i(b) = 3*h(b) + k(b). Let r(q) = -7*i(q) - 3*w(q). What is the units digit of r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*o + 80 + 24 = 0, 0 = 4*d + d + o + 96 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*b - 8196 = -8*d, -b = 3*d - 8192. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14875100 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(15\/10 - -1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 28, 253, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 208*v + 64. Let p be u(7). Suppose p + 7016 = 22*g. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.10345949 rounded to 3 decimal places?\nAnswer: 12.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.65 - -8.75. Which is the nearest to l? (a) -1\/7 (b) 2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (-3*sqrt(252) + 2)) + sqrt(252) - ((sqrt(252)*3 + sqrt(252))*-2 + sqrt(252)))**2*-4.\nAnswer: -145168 + 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = -a, -4*k - 14 = -5*a - 2*k. Solve 7*w - a*w = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6)*2)\/(-75*10\/60)\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - 16 - 8) + -9 + (2 - -2) + -35?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3928, -11324, -23652, -40912?\nAnswer: -63104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356 and 26878?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -2, 0.046, 0.3, -1.5?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3128781058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -3, -10, 4 in decreasing order.\nAnswer: 4, 2, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1, -5\/12, 0.5, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(-3*k + 5*k - k) - 3*k - 3*k + 7*k)*((1 + k - 1)*(3*k - 3*k**3 - 3*k) + 5*k**3 - 3*k**4 - 5*k**3).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**4 + 7*s**3 + 23*s**2 + 5. Let u = 2 + -4. Let k(c) = 3*c**4 - 4*c**3 - 11*c**2 - 2. Let j(f) = u*h(f) - 5*k(f). Suppose j(i) = 0. Calculate i.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (-234 - -211 - (-4 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 721 and 78486.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/69 and 11\/69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20463.5 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.076 + -0.035\nAnswer: 0.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1929a (base 13) to base 12\nAnswer: 242a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 2)*(594*x - 196*x - 84*x).\nAnswer: -1256*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 768557.3 nanometers?\nAnswer: 0.0000007685573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/3*(-696)\/(-580). Solve 0 = 8*k - 0*k + t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 2142519619118.\nAnswer: 2142519619092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158497 is divided by 1555?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)\/((v\/v**(-10))\/v))**47*(((v**(2\/7)\/v)\/v)**(-2\/15))**(2\/45) assuming v is positive.\nAnswer: v**(-1628534\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1696 (b) -22215 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 76 = -260. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, 1, 0.0484, -2\/7.\nAnswer: -2\/7, 0, 0.0484, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6951314l in millilitres?\nAnswer: 695.1314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880031*c + 1760219*c + 21*c**2 - 880188*c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 13 = -10*d - i, -d + 4*i + 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, v: 7, a: 3, i: 4, m: 3}. Give prob of picking 1 v, 1 a, and 2 m.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 10:56 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1333932400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4 - 62 + 62 + 3894*f**2 + 0*f**4 + 2795*f**5 - 2433*f**5 wrt f?\nAnswer: 21720*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24289993 by -1868461.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u + 1\/3*u**3 + 0*u**2 - 2. Let w(a) = -7*a. Give w(k(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 48800.264 to the nearest 10.\nAnswer: 48800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11960247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*2170767.6\nAnswer: -2170767.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let q(b) = 5*b - 1. Let l(n) = -3*q(n) - 12*r(n). Let f(g) = -12*g + 7 - 4*g + 12 - 3. Give -2*f(y) + 11*l(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 24 - 5 = 3*b, g - 4*b = -24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -19411.272679623.\nAnswer: -19411.072679623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 + 1518467712*d - 288218024048314368 = 0. Calculate d.\nAnswer: 379616928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 - 142. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11574918 and 2070.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 4, -1.4, -18, 2\/15, -7, 1\/12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1824a1a?\nAnswer: 1824a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -5*q - 2*x, -q + 151 - 117 = 8*q - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q. Let p be i(-1). Let j = 8 + p. Solve 0*b = j*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -19\/6 (b) 0.04 (c) -2\/3 (d) -3 (e) 2\/13 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6718, 27060, 60962, 108430, 169470, 244088, 332290, 434082?\n\"Answer: m**3 + 6774*m**2 + 13*m - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-130))\/((-36)\/15 - -2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72077.7 kilograms?\nAnswer: 72077700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from fuquffqqfqfffqfuuu.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 124 = -12*v. Calculate the remainder when 119 is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v + 60 = 0. Suppose 2*a - v = -2*d, 4*d - 3 - 11 = -2*a. Solve -2*m - d = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*f - 21 = -68 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*c + 140*c = 29*c + 106157527. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8521196 by 1.\nAnswer: -8521196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*j = -20, 3*w = 133*j - 135*j + 14. Factor 0 - 6\/5*r**w + 3\/5*r + 3\/5*r**3.\nAnswer: 3*r*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-4\/9)*k))**(-14))**(-3\/34) assuming k is positive.\nAnswer: k**(28\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/2 + 2*j**2 + j\/2 - 3 = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1177, 2345, 3513?\n\"Answer: 1168*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) 1.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -2\/9, 3\/1292, 100 in ascending order.\nAnswer: -2, -1, -2\/9, 3\/1292, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3447122 (base 9) to base 10\nAnswer: 1861967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 424.71 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15535 or 15545?\nAnswer: 15545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (3 - (-8 - -6)) + -5. Suppose -q - 4 = 0, 3*h - 4*q - 897004 = -l*q. Round h to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.9 + -11. Let m(h) = h - 6. Let a be m(3). Let d be a\/(-15)*2\/(-1). Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3736 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -234444 (base 13) to base 12\nAnswer: -3449b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5634 and 39751?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(0 - 4 - -5). Let h = 71 + j. Suppose -4*g - 102 = -2*l, -l + h = -2*g + 6*g. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 363195.3 millennia?\nAnswer: 3631953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-4)\/4 - -4) + 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/14 - 2\/7)*14. Calculate the highest common factor of x and 1544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 5*b - 2*c, -3*c - 4 - 5 = 0. Let t = -6 - b. Suppose t*u + 4*n = 70, 2*u = u + 4*n - 10. What is the smallest common multiple of 30 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -277*g - 15. Is h(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.194418 rounded to 2 dps?\nAnswer: -42.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706 is divided by 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 3. Let r be b(8). Let j = -12 + r. Let x = j - -52. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-38)*16\/(-18)*9\/33\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:51 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290 + -290. What is the closest to s in -54, 3\/4, 0, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27224631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, f: 1, o: 1, k: 1, z: 2, w: 2}. What is prob of sequence ofv?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**4 - 6*n**3 - 3*n**2 + 6*n + 6. Let s(o) = -3*o**4 + 7*o**3 + 3*o**2 - 7*o - 7. Let k(x) = -6*s(x) - 7*w(x). Factor k(d).\nAnswer: -3*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 2*o**2 - 3*o - 2. Let k(b) = -b**5 - 3*b + 2. Let i(m) = 2*f(m) + 3*k(m). What is the second derivative of i(t) wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-832)\/(-704)*77\/(-7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) -5 (c) 0.028 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329939666.\nAnswer: 2, 7, 23567119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/81)\/(8\/(-12)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44178098.\nAnswer: 2, 22089049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 15. Calculate the greatest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 6 - 6 + (2 + 104 - 8)*(-i**2 - i + i).\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2649 and -14225?\nAnswer: 14224.7351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 422*s - 7270 = 425*s, 2*i - 3*s = 14522. Is 98 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -3)\/(4 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 3, -2, -4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m - 278. Suppose -6*k = -m + 43. Suppose -4*q + 960 = k*q. What is the greatest common factor of q and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 75*o**2 - 36*o + 49. Calculate h(37).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 20. Let o = u - 9. Which is smaller: o or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 19*j + 22. Let q be g(18). Put q, 5, -2, 1 in ascending order.\nAnswer: -2, 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011011110100001 (base 2) to base 14\nAnswer: 131bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814914.\nAnswer: 2, 907457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 16) in base 10?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7859a4 - 46?\nAnswer: -785a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 + 6*a**2 - 3*a + 102. Let i(j) = 12*j**3 + 12*j**2 - 5*j + 221. Let f(q) = -3*i(q) + 7*o(q). Determine f(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (-5 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10101100110100101101100?\nAnswer: -10101100110100101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-2))\/((-2)\/4). Let l be ((-12)\/15)\/((-2)\/c). Suppose -193 = -l*d + 253. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 683792.193 - -171\nAnswer: 683963.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111813 and 671.\nAnswer: 1229943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1085913, -1085896, -1085869, -1085832, -1085785, -1085728, -1085661?\n\"Answer: 5*j**2 + 2*j - 1085920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2393069?\nAnswer: 7, 19, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 405820633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b + 3*j + 28 = -64*b + 134*b + 5*j, -5*j + 72 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7231660645 and -85.\nAnswer: -7231660730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -38. Let w = h + -22.078. What is w rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 = 6*c - 1258. Calculate the lowest common multiple of c and 126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(16)*-3)\/(sqrt(48)\/sqrt(6)*5))**2*4.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -259, 4, 169 in descending order.\nAnswer: 169, 4, 1, 0, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 - 357.5. Round c to 0 decimal places.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 19 = 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.42468l to millilitres.\nAnswer: 86424.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -181*b - 354. Let s be p(-2). Solve 27 = l + 3*r - s*r, -4*l - 3*r = 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6.7. Let x = p + -0.6. What is the third biggest value in x, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12*q - 22. Let b be g(-8). Differentiate -31*n - 19 + 61*n + b with respect to n.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 123.2 - 136. Let h = 12.614 + m. Let n = -0.185842 - h. Round n to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 + q**5\/60 + 4*q**3\/3 + q**2. Is i(0) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - -58) + -156 + 190.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 793*q**3*u + 245*q**3 - q**2*u - 6*q*u + 10997*q wrt q?\nAnswer: 4758*q*u + 1470*q - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 24\/4)\/(12\/312). Let y = 65 + -13. Calculate the greatest common factor of y and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/317295?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 - 12495399*h**4*u**2 - 406988*h*u**2 wrt h?\nAnswer: -20*h**3 - 149944788*h**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 37*x**2 - 17*x - 1. Calculate the remainder when 64 is divided by s(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24788228 by 202.\nAnswer: -122714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-4 + 3)\/((-3)\/(-1)). Which is the third smallest value? (a) k (b) 5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 17. Suppose -6*u = -v*u - 160. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.8 - -4. Let a = -8.4 + c. What is a rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/693)\/((-3)\/14).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4080 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 2*i**2 - 44)*(2 + 1 - 1)*(-5*i + 5*i - 9*i).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5\/3 (b) -0.1 (c) 0.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2153063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y - y. Sort -2, y, -5 in descending order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 96, 87, 66, 27, -36?\n\"Answer: -b**3 - 2*b + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6072693661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, 1, -7, -19, -35, -55, -79?\n\"Answer: -2*z**2 + 2*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -353, 149, -2 in ascending order.\nAnswer: -353, -2, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4842*f*x + 3812449*f + 503*x**3 - x - 3 wrt x?\nAnswer: -4842*f + 1509*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (366\/(-8))\/((-1)\/4) + 3. Let q = c + -155. What is the remainder when 150 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3977*b**3 - 1992*b**3 - 1987*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2425095 - 12125469\/5. Let n be ((-4)\/(-10))\/(3\/15). Factor -1\/5*j**n - f - j.\nAnswer: -(j + 2)*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1.2, -1, -5, -3\/2, 3, -3\/7, -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 587*r**2 - 580*r**2 + 17*r + 0 to b + s*r + z*r**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1\/129 (b) -5 (c) 2\/29 (d) 0.883\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11\/2 (b) -0.02 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a factor of 14226892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -31.267252822 and 7011.\nAnswer: 6979.732747178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, 0 in descending order.\nAnswer: 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(0 - 3\/6). Let p(t) be the second derivative of t + 0 + 1\/3*t**3 + 0*t**v. Let f(s) = -2*s**2. What is p(f(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -116*t**3 - 5*t**2\/2 + 32*t. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 13337. Let u(p) = -p**2. What is h(u(v))?\nAnswer: -2*v**2 - 13337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 76 + 43*o - 44.\nAnswer: 43*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.4 - -51. Which is the closest to -1\/3? (a) q (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Let x = -2.7 + v. Is -0.2 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1438\/9 - -160. Let 0*t - 2\/3*t**3 - 4\/9*t**2 + v*t**5 + 0 + 0*t**4 = 0. What is t?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. What is the first derivative of 1 - r + 3*p**2 + 0 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 3*h = -6*i - 15, 18 = 2*i + 4*h. Solve 7 = -i*s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5*c = 5*k, 4*k - 4*c = -16. Let s be (0\/(4 - (-3 - k)))\/2. Suppose s = -9*j + 466 - 16. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 11)*6\/18. Find the second derivative of -2*o + 6*o**l + 4*o - 9*o wrt o.\nAnswer: 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**2 + 684*o + 174879 = 0 for o.\nAnswer: -153, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 + -207 + (15 - (-18 + 181)).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 18*q + 140 = 0. Sort -0.07, -5, q in descending order.\nAnswer: -0.07, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30131 + -12?\nAnswer: 30113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1*2) - -1. Let l(n) = -19 - n + 16 - 7. Let p be l(-9). Sort d, p, -2 in increasing order.\nAnswer: -2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50, -96, -142, -188, -234?\n\"Answer: -46*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 884456, 7075554, 23879966, 56604350, 110555364, 191039666?\n\"Answer: 884443*d**3 - d**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -112010121 (base 3) in base 14?\nAnswer: -3a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 174*z - 1949. Give m(4).\nAnswer: -1253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/63)*j*j**20*(j*j**(3\/17)\/j)\/(j\/j**(-2\/7)) assuming j is positive.\nAnswer: j**(21337\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17214*t**2 + 17213*t**2 - 5 + 5 + 0.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*a + 25. Suppose x - 20 = a*x. Let r(t) be the first derivative of t**4\/4 + 4*t**3\/3 - 5*t**2\/2 - 6*t - 1. Determine r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -901 + 905. Put 2\/7, 18, u in decreasing order.\nAnswer: 18, u, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.257246t to nanograms.\nAnswer: 2257246000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k = 78*k - 80. Suppose 5*u = -5*i, -k*u + 2*i = -15*u - 28. Calculate the smallest common multiple of 25 and u.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*z - 811*z + 11 - 2.\nAnswer: -1247*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/3631 (c) 0.17 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 337.6 - 16.6. Let f = -300.1 + q. What is f rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-1)\/6). Suppose p*s = 4*v + 7, -2*v + 3*v + 3*s - 2 = 0. Let i(u) = 2*u + 0*u - u + 2*u**2 + 1 - 3*u**2. What is i(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(208)*-3 - (5 + (sqrt(117) - sqrt(13))))*-2.\nAnswer: -28*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-9)*(-162)\/(-2295).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.8 and 0.5?\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -746, 0.5, 0.6, 8, -0.25 in ascending order.\nAnswer: -746, -0.25, 0.5, 0.6, 8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19871.\nAnswer: 31, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1893*m - 66*m**2 + 352*m**2 - 287*m**2 in the form b*m + w + k*m**2 and give b.\nAnswer: 1893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91576, -91570, -91564?\nAnswer: -91558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/2821 + 322982\/(-103509).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (825\/(-1665))\/(-5)*26\/(-143).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 + 6*j - 13*j**2 + 64*j**2 - 4*j**2.\nAnswer: 35*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3085 is divided by 80.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3, 2\/3, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40, -2726, -7204, -13474, -21536, -31390, -43036?\n\"Answer: -896*g**2 + 2*g + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/5 + 324*c**4\/5 - 8309*c**3\/5 + 14988*c**2\/5 + 8308*c\/5 - 15312\/5 = 0.\nAnswer: -348, -1, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 930.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/61 + -953\/1037. Let v = u + 53\/51. Factor -v*f**4 - 4\/3*f + 2\/3*f**3 + f**2 - 4\/3.\nAnswer: -(f - 2)**2*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7 - 2 - 53*k + 0 + 3. Let x(o) = 7050*o + 799. Let i(d) = -799*u(d) - 6*x(d). Let w(r) = 2*r**2. Calculate w(i(m)).\nAnswer: 4418*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(2\/7))*p*p*p*p**4\/p)**(-14) assuming p is positive.\nAnswer: p**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -173\/9100640 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21936507*i**3*k**2 + 2*i**3 + 48317*i - 1953*k**2 wrt i.\nAnswer: 131619042*i*k**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 42344.\nAnswer: 1\/10586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 12 - 54 + 45*c**2 + 118 - 89*c**2 + 41*c**2.\nAnswer: -3*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*k**3*x**3 - 169582*k**2*x**3 + 6*k*x**3 - 202*k*x**2 + 28*k + 93 wrt k.\nAnswer: 696*k*x**3 - 339164*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2893 rounded to three decimal places?\nAnswer: 0.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let t = 0.98 - -0.02. Let i = p + t. Which is the second smallest value? (a) -2 (b) i (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*t**3 + 6 + 5 - 2 + 18 - 2*t**2 to the form o*t**3 + r*t**2 + h*t + c and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -23812?\nAnswer: 23813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p - 50. What is d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7))**16\/(q*q**(1\/4)*q)**(1\/38))**(-2\/113))**(14\/5) assuming q is positive.\nAnswer: q**(4927\/21470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661522984 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-50) + 9\/(-5). What is the remainder when (37\/(-2))\/(1\/q) is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117570616.\nAnswer: 2, 41, 358447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 11*a - 4. Calculate z(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*g + 47*g. Suppose -6*c - 53 + 137 = g. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from uccqggcrqcgur.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o + 4. Let w be 87\/o + (-1)\/(-4). Suppose 3*b = 53 + w. What is the highest common factor of b and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/43287 and 25\/439?\nAnswer: 19002993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 18950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -185663 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56750809.\nAnswer: 67, 347, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3*(-5)\/1 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3549.558l?\nAnswer: 3549558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**5\/60 + 4*m**3\/3 + 2*m**2. Let z be f(0). Let k = z - 3. Solve k*y + 11 + 4 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*x**2 + 127*x**2 + 63*x**2 - 461*x**2 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 186436 divided by -1468\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**8\/84 + w**4\/3 + 3*w**2. What is the second derivative of g(o) wrt o?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 38, -0.06, -21, 0.03, -1\/2 in increasing order.\nAnswer: -21, -1\/2, -0.06, 0.03, 19, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 10, 22, 54, 112?\n\"Answer: g**3 + g**2 - 12*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -32 + 0*d**2 + 0*d - 418\/3*d**3. Let p(g) = g. What is p(u(z))?\nAnswer: -418*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -14542*o - 72735. Calculate l(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**8\/1176 + 2*y**7\/245 + y**6\/28 + 4*y**5\/105 + 40*y**2. What is r in a(r) = 0?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 153. Let g = 25 - d. What is the highest common factor of g and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8*n - 5*w = 1443, -n + 5*w + 357 = 0. Let f = n + -361. Solve 2*u - u - f = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - 0. Let s = -112 - u. Calculate the highest common divisor of 32 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/21 (b) 2 (c) -0.18 (d) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010 - 11?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c + 7939 = -2327. Which is bigger: c or 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-7)\/((-35)\/45) + -2. Let q(f) = -6*f**2 - 5*f + 2. Let n(b) = -7*b**2 - 6*b + 3. Calculate j*q(g) - 5*n(g).\nAnswer: -g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 6*q - 10 + 0*q**3 + 18 + 26 + 10*q**3 in the form v*q**3 + y*q + m + d*q**2 and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.1794083323 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = j + 2*j + 155, 3*j - 9 = 0. Solve 4*m + 0*w - u = -5*w, -13 = -2*m - w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v - 73*v - 12364 + 12364.\nAnswer: -114*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -2, 14, 38, 70, 110?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + sqrt(208) + sqrt(208)*1)*-1 - (sqrt(208) + 2*sqrt(208))*2)\/((sqrt(3872)*1)\/sqrt(8)).\nAnswer: -18*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85913*j**2 - 3 + 1 + 42954*j**2 + 42969*j**2.\nAnswer: 10*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + w - 4)*(-1 + 2 + 2)*(-5 + 3 - 3 + (-51 + 5 + 23)*(-2 + 0 + 0)).\nAnswer: 123*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.43 * -0.4.\nAnswer: 2.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -43. Let v be 6\/(-9)*(-17 - -2). What is the greatest common factor of v and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169356973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*sqrt(171).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*q**3 + 23*q**3 + 9*q**4 + q**2 + 2*q**4 - 4*q**4 + 3*q**4 + (-2*q - 3*q + 4*q)*(-4*q**3 + 4*q**3 - q**3) - q**4 + 21*q**2 - 21*q**2.\nAnswer: 10*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r + 10. Let b(h) = -9*h + 7. Suppose j = 3*c - 15, c + j - 4*j - 5 = 0. Determine c*g(d) - 8*b(d).\nAnswer: 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -1382\/15. Let f = v + 31\/105. What is the smallest value in 0.2, f, 5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43937.725 to the nearest one hundred.\nAnswer: 43900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471238 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6 - 6. Solve -a*b - b + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 0)\/((-4)\/(-8)). Let g be (-4)\/(-2*f\/(-8)). Let s = g + 14. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 4*z**2 - z - 4. What is o(6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180 - 192) + 1*(-23 + 4).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d - 32. Let z be l(-5). Suppose 1 = -2*h + 9. Solve h*k - k - z = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 r when four letters picked without replacement from {r: 5, y: 2, f: 5}.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 1. Let t(p) = 35. Let s(m) = 214. Let q(k) = s(k) - 6*t(k). Determine -5*q(z) + 20*w(z).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326222*s**3 - 20451*s**2 + 15*s wrt s?\nAnswer: -1957332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppoppopvpppovpvpovp. What is prob of sequence oo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 5*s + 2080, -4*b + 5*s = -946 - 713. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 85.8. Let m = h + -0.145. What is m rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:46 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 11*c - 20. Let s be g(6). Suppose -5*a + s*a = 1300. Let t = a - 123. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(108)\/sqrt(3))\/sqrt(12) - (2 + (sqrt(3) + sqrt(3)*-1)**2).\nAnswer: -2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/6)\/2)\/((-3)\/54)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 8:49 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c + 2*v + 5, 0 = -2*c + 4*v - 2. Let l = c - -3. Suppose t - 26 + 6 = l. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8355, 8312, 8269, 8226, 8183?\nAnswer: 8140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiilvnilfinlni. Give prob of sequence ilvn.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4502*w - 139737 + 139737 as t*w + s and give t.\nAnswer: 4502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141185533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 42530\/12531?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41955259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -549*r + 596*r - 154865. Calculate the remainder when r is divided by 206.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 15*u + 24. What is w(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**4\/4 + 5*q**3\/3 - 4*q**2 - 11*q - 7. Let d be u(-6). Let t = 691\/7 - 99. Is d greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21880, -21879, -21878, -21877?\n\"Answer: z - 21881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9811.3234 rounded to the nearest integer?\nAnswer: -9811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert af8 (base 16) to base 6.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -233, -232, -231?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101040 and 1204060?\nAnswer: 14448720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-6*a + 4*a + 3*a)*(0*a**3 + 4*a**3 - 3*a**3).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*l + 15*l. Let n(w) = 2 + 7*w - w**l - 8 + 14*w - 16*w. Give n(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -47. Calculate the remainder when 37 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 31030121321?\nAnswer: 31030121330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*g**5*r**2 + 136*g**2*o + 11*g*o + 18*o*r**2 - 5*o*r wrt g.\nAnswer: -240*g**3*r**2 + 272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-140)\/(-56) + (-2)\/4. Let u = -83 - -583\/7. Sort g, u, 5 in increasing order.\nAnswer: u, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3 + 790821*g**2 + 790824*g = 0.\nAnswer: -1, 0, 263608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 0*f + 0*f**2 - 3*f**2 + (-f**2 - f**2 + f**2)*(-2 + 0 + 0))*(-1 + 4 - 1) in the form x + j*f + c*f**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34 or 19?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/(p\/(p**(-1\/13)\/p))*p**(-1\/3)\/(p*p*p*p*p**(1\/6)*p) assuming p is positive.\nAnswer: p**(-1825\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*w**2 + 3*w**5 + 5*w**5 + 25*w**2 wrt w.\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -75802 - 5?\nAnswer: -75807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/15 - 147\/40 and 1*2\/30*345*(-2)\/(-20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -d + 8, -3*d + 55 - 15 = w. Suppose a = 2*g + 38 - d, a + 2*g = 20. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3798831?\nAnswer: 3, 1266277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 8*j**2 - j - 5. Let g be y(-8). Let t be (-1)\/g - (0 - (-468001)\/(-3)). Round t to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6550 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(63\/10)*7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 71*f - 93*f + 6*f + 8.\nAnswer: -152*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = -10*b + 173 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7988 + 2308 = 44*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*v - 130 = 0, -395601*u + 5*v + 31 = -395599*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9 + (-55)\/(-15). Suppose -4*u - 5*w + 56 = -3*w, -u = -o*w - 23. Suppose 664 = 7*j - u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88 + 85 - 30*h + 91 - 265 to u + a*h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 - 3*l**2\/2 - l - 27. Suppose 8 = h + j, -20*h = -17*h - j - 20. What is u(h)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132351 is divided by 131993.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 190 = 2*t - 9*l - 13*l, -54 = -4*t - 5*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -4055?\nAnswer: -4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 0, 1 in descending order.\nAnswer: 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puu when three letters picked without replacement from {p: 2, u: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {v: 1, m: 1, d: 1, n: 1, p: 2, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633*h = -619*h - 69650. What are the prime factors of h?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1, 3, 7.25, -0.04 in descending order.\nAnswer: 7.25, 3, 1, -0.04, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -3*sqrt(275) + (sqrt(11) - (sqrt(11)*-2 + -4)))*-5*-5)**2.\nAnswer: -55000*sqrt(11) + 841875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 58*j + 6. Determine x(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3456 and 645120?\nAnswer: 1935360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -25337.2797 + 0.03\nAnswer: -25337.2497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.9 and 1534.\nAnswer: -15186.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2506 - -4077. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 + 0)*(3*w + 0*w - w) + 0 + 0 - 9*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101010210212 + 102?\nAnswer: 101010211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2298499*y - 86778 = -2296892*y for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4*30555019\nAnswer: -122220076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*h + t + 12, 2*t = -4*h + 12. Let c(m) = 2*m**3 + 5*m**2 + 3*m + 4. Let d be c(-3). Let z = h - d. 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 6 + -11 + 1 - (-22 + 37)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9065)\/2072)\/(13 - 1050\/80)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8174438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*m - 14, -5*n + 2 = 3*m - 2. Let g(j) = 10*j - 5. Is 12 a factor of g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (141\/2)\/(176\/(-32)) + (-6)\/33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5137608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -103.1\nAnswer: 3505.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 45*y + 45. Let f(r) = -11*r - 11. Let l(z) = -9*f(z) - 2*u(z). Let t(x) = 22*x + 22. Determine -12*l(c) + 5*t(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 54. Suppose 6*l + 4*g - k = 3*l, 0 = -l + 2*g - 7. Let q be l - 0 - (-27 + 7). Solve 0 = 4*a - 2*v - 20, 4*a - 3 - q = 4*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 u when three letters picked without replacement from {u: 6, e: 4, s: 7}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 72061942?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3254101451 + 5?\nAnswer: 3254101500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 1aca1?\nAnswer: 1ac99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*j - 5*i, -j - 7 = 5*i - 10*i. List the prime factors of 2\/((-21)\/(-243)*35 - j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 25. Let d be v(-13). Suppose n + d = 4. Solve -n*u + 9 + 0 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*((sqrt(156) - -2*sqrt(156))\/sqrt(12) - (sqrt(91) - -1*sqrt(91))\/sqrt(7)) + 2.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 6. What is z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2313 is divided by 193.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/2 + 110*z**2 - 11437*z\/2 - 5829 = 0. Calculate z.\nAnswer: -1, 87, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 100. What are the prime factors of 3 - (0 - (214 + d))?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.2 + -69. Which is the nearest to 0.01? (a) 4\/5 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*k**3*m**2 + k**3*m - 119*k**3 - k**2*m**2 + k**2 - 18003*m**2 wrt k.\nAnswer: 144*m**2 + 6*m - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1944 divided by 6.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*q**2 + 13*q**2 + 9*q**2 - 2*q + 3*q to c + s*q**2 + b*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -9*k - 0*k. Suppose 8 - 1 = 5*y + 2*w, -4*y = -k*w + 1. Let a(t) = -7*t**3 + 2*t**2 - 1. Let n(q) = q**3 - q**2. What is y*a(d) + 5*n(d)?\nAnswer: -2*d**3 - 3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 5231662?\nAnswer: 7\/5231662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.88 - 0.12. Let w = -10 - p. Which is the second biggest value? (a) 5 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7249.277nm to kilometers.\nAnswer: 0.000000007249277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) - 96\/(-15). Suppose -12*f - r = -15*f, s - 3*f - 6 = 0. Solve 3*d - 2*a = a - s, 5*a + 4 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*j = -0*y - 25, -j - 2 = 0. Let d(o) = -2*o**2 + 5 - o**y + 3*o**3 - 4 - o**3. Suppose 3*u - g = 8, g = -u - 0 - 4. Calculate d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**(-33)\/(h**(6\/7)*h*h*h*h**(-2\/17)*h*h)*(h**(3\/4)*h\/h**9)**(-7\/12) assuming h is positive.\nAnswer: h**(-62483\/5712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7757*-538\nAnswer: 4173266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -12*l + 7. Let b(u) = -26*u + 15. Determine -4*b(o) + 9*c(o).\nAnswer: -4*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1846957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(6\/40) - (1 + -3). Is 3405\/9 + 3\/i*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqccccccrcccpcr. Give prob of picking 1 r, 1 c, 1 q, and 1 p.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j\/(j\/j**(2\/9)))*j*j*j\/(j\/j**0)*(j\/(j\/j**3))\/j**(-3\/2))**(-3) assuming j is positive.\nAnswer: j**(-95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -6. Let f be (-16 + 1)*8\/24. Put v, f, -3 in increasing order.\nAnswer: f, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 1. What is b(-14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -148*t + 17. Let q(m) = m**3 + 18*m**2 - 19*m - 3. Let s be q(-19). Let v be s\/2 - (-2)\/(-4) - 3. Is y(v) 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 t and 2 n when four letters picked without replacement from {t: 11, n: 4, p: 3}?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(425)) + -5 + -2 + sqrt(425) + ((sqrt(425) - (sqrt(425) + -1*sqrt(425)) - sqrt(425) - sqrt(425)) + 1 + 3)*2 + 4)**2.\nAnswer: 160*sqrt(17) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 61*o + 65*o = 7, -5*k - 5*o = -20. Solve 3*r + k = 3*v + 8*r, -14 = v - 4*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/185 and -79\/12765.\nAnswer: 12765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14845 - -14957. Solve -39*f + p + 161 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 86, 7, -1, -3, -96, -1\/5?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 115086899 rounded to the nearest one million?\nAnswer: 115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193154, -193265, -193468, -193781, -194222, -194809, -195560, -196493?\nAnswer: -197626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1 - (-17 - 0). Suppose -m = -0*d - 5*d. Let h be (-1)\/2*(-1 - 3). Put h, 1, d in decreasing order.\nAnswer: d, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -47, 0, -2, -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3971*r**2 - 57322*r.\nAnswer: 7942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 76762386 divided by -186\nAnswer: -412701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1380 - 817 = -4*h - 1713 for h.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**4\/12 - 5*k**3\/6 + 5*k**2\/2 - k. Suppose 2*f + 2*f = -36. Let c = f + 13. What is y(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*a - 44 = 214*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -23, -2, -40, -3.\nAnswer: -40, -23, -10, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -155.6 - -165. Let t = 41.5 + c. Round t to zero decimal places.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 11*g**2 + 34*g - 3. Let b be o(-5). Does 23 divide b*((-3 - 0) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.5. Let t = -144 - -148. Sort t, f, 1 in descending order.\nAnswer: t, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -119, -245, -453, -743?\n\"Answer: -41*j**2 - 3*j - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 1. Suppose -2*u - 10 + 6 = 0. Let k(h) = 2*h**3 + 1. Let a(v) = u*k(v) + 2*t(v). What is the third derivative of a(z) wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307237734 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/280*-5*16\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:51 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 9, -3*f + 22*x + 129 = 27*x. Solve -36 + f = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 - 1)*(4*n - 2*n - 3*n) + n + 0*n + 2*n + (-4 + 3 + 3)*(-n + 5*n - 2*n).\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/44 - 4) + -1 + 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 - 2*a**2 + 4. Let p(w) = -w**3 + w**2 + 1. Calculate g(u) + 3*p(u).\nAnswer: -u**3 + u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4748632 = -4748637, -g + 2*a - 9 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 (base 11) in base 7?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 12:23 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 267881203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -154*s + 2161. Give r(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*c + 14 = -8*c, -2*c = 3*q - 23. Suppose -35 = -5*k + 5*l, 0 = -4*l - 0*l - 12. Suppose -k = v - q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 1. Let s(w) = -4*w - 4. Let g(c) = s(c) - 3*u(c). Let l be 0 - 2\/(3 - 1). Let t be g(l). Solve t = q - 3*k - 9, -2*k - 4 - 2 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**4\/2 + 14*u - 2. Find the first derivative of d(v) wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10769719 is divided by 18665.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13486 or 13496?\nAnswer: 13496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 4*w**2 + 3*w**2 + (-23 - 5*w**2 + 23)*(-2 - 1 + 2) - 2*w**2 + 3 - 3.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 4 - 8. Let y(r) = -7*r**2 + r**3 + 3*r - l*r**2 + 3*r**2. Give y(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1009.03 - -1004. Let p = 0.03 + n. Let r = 1 - 1. Which is the third biggest value? (a) 0.5 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407066.\nAnswer: 2, 11, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6873969157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.47294 rounded to 2 decimal places?\nAnswer: 22.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((59\/(-59))\/((-9)\/(-2))).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1100)*2 + -3*(sqrt(1100) + 2))**2 - (0 + sqrt(1100) + 3 + 5*sqrt(1100)*1).\nAnswer: -40*sqrt(11) + 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4116\/(-1176)*16\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 141\/(-120) + ((-170)\/(-25) - 6). What is the smallest value in 39, -2\/9, i, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 3, v: 4, a: 3, b: 2, l: 2}. Give prob of sequence lco.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-3 - -2) + 2. Suppose u*r - r = 3. Is (-4)\/(7 + r) + 59 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 1 (c) -4 (d) -1\/3 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 - 9*r + 8. Let q be l(7). Suppose -135 = -5*y + q. Let b = -37 + y. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 12 = c, -9880*c + 9887*c = -3*s - 44 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (8 - 10 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 5:56 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055792701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Suppose 2*d = -5*b - 18, 51*d - 55*d + 4*b + 20 = 0. What is the units digit of (d\/v)\/((-1)\/219)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -11023?\nAnswer: 11033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 103 = -5*q, -q - 2*i + 44 = q. Suppose 2*p + q = 69. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3338.537 decades?\nAnswer: 33.38537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154123505 (base 6) to base 2.\nAnswer: 1100100000000101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2232 - -2183. Which is smaller: -481\/10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*a - 113, -a + 1 = -0. Let f = u + 34. Let m(r) = 2*r - 5. Let j be m(f). Solve -j*b - 1 = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/(k\/(k**20\/k)))\/(k\/(k\/(k*k**(-3\/10)*k)))**(-4\/27) assuming k is positive.\nAnswer: k**(9991\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 1. Let w = j + 16. Let t be -10 + (-14 - -29) + -8 + 5. Which is the smallest value? (a) w (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/4 - 10*j**3 - 2*j**2 + 52*j - 64. Is 13 a factor of o(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 14 - 9*r**2 - 6 - 16 + 7*r**2.\nAnswer: 5*r**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 + 33*q**2 - 6*q + 414. Let d be m(17). Let y be -4*(3\/2)\/(-3). Let c be y + -5 - -5 - (d - -1). Which is greater: c or -23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*w = 0, -2*g + 0*w + 4 = -w. Let y(d) be the third derivative of -d**4\/24 + 7*d**3\/6 + 11*d**2 + 2*d. Determine y(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/84*-8)\/(18\/(-14))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 108 = -s, 2*s - 2*q - 216 = -0*s. What is the greatest common divisor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821 = 279*z - 3640 + 1703. Let k(w) = -4*w. Let q be k(-5). Solve 3*d - v - 4 = 0, -z*v - v = -2*d + q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 505, 758, 1009?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-15708)\/(-105))\/(-17))\/((-4)\/1830).\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 1, l: 1, v: 2}. What is prob of picking 1 v and 3 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, f: 2, o: 2, a: 3, k: 6, p: 1}. What is prob of sequence abob?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5902 and 702137332.\nAnswer: 5902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -37, -55, -73, -91?\n\"Answer: -18*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + h + 6448 = 6560, 3*a = -4*h - 47 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 7:42 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 3592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -219 + 221 + -2 + -5 + (-10 - -24) + 106.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -387 by -43.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1, -1\/3, 9\/4, 1?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47479*o**3 + 2*o**2 - 16189466*o.\nAnswer: -284874*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9373)\/(-15) - 0) + 46\/345. Suppose 13*q - 805 - f = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-5)\/10) + 11 + 3280?\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yypp when four letters picked without replacement from yyyyypp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4644\nAnswer: -4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 22*f**5\/5 - 2*f**3\/3 + 545*f**2\/2 - 34. What is the second derivative of n(q) wrt q?\nAnswer: 264*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40152915 divided by 9013\nAnswer: -4455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 48*j**2 - 553*j - 20427. Determine b(-51).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6609, 6837, 7219, 7755?\n\"Answer: 77*s**2 - 3*s + 6535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 45939672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 9*u - 4*u - 5*u to the form x + a*u and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 9. Suppose -71*v + 744 - 318 = 0. Calculate m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - 4 - (1 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 344*b - 343*b - 5. Suppose 5*q + b - 30 = 0, s = q + 77. List the prime factors of s.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**5\/15 + m**4\/12 + 4*m**3 + 13. Let l(x) be the third derivative of r(x). What is l(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -24) + -89 - -79\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1045 = v. Let m be 21 + 4 + -8*1 + 2. What is the highest common divisor of v and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 12 = 4*u, -3*u + 0*a + 9 = -5*a. Suppose -2*n = n - u. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -183. 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: Product of 0.048 and 369423.\nAnswer: 17732.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 843?\nAnswer: -4\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 - 11. Suppose d - 3*l = -3*d + 16, 2*l = -2*d - 6. Let i = 1 + d. Let p(m) = 0*m**2 + 0*m**2 + 6 + i*m**2. What is 6*f(a) + 11*p(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Suppose -7 = -y + 6*r - x*r, -2*r - 18 = y. Let t be 2\/y + 5122\/8. Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3582.0288 microseconds to hours.\nAnswer: 0.000000995008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(18\/6)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369 and 451?\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -8*h. Let w(p) = 2 - 19*p + h + 6 - 5. What is the tens digit of w(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-24)\/3)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 16. Calculate b(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/36 and -163\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8624020 (base 9) in base 7?\nAnswer: -54166602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 1240.59\nAnswer: -13646.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - -4) - (-9 - (-2 + -6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -710 - -1665. Let h = -955 + k. Let b(r) = 2*r + 0*r**2 + 9 + r**2 - 3*r + r**3. What is b(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2 + 23*i + 100. Let p be h(-5). Let u = 336 - p. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigi. What is prob of sequence gig?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1116 divide 4499388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4654 - 3131. What are the prime factors of n?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 514937, 514927, 514909, 514883?\n\"Answer: -4*d**2 + 2*d + 514939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v + 5*v + 6*v - 23 - v. Let t be 660\/96 - (-1)\/8. Is 5 a factor of f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8587 < -8591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 5, 1, 2, -371, -12.\nAnswer: -371, -52, -12, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*x - 4, -4*j + 24 = -x + 31 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 2:54 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/1 + 5460\/(-500) + 15\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - -15. Let n = -293 - -525. Let w = n - 220. What is the remainder when q is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 970 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 207019*a**2*k - 13776*k + 2 wrt a?\nAnswer: 414038*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 257420*u + 222921?\nAnswer: 257420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + t - 3*t)*(-132*t + 132*t - 3*t**2) in the form d*t**2 + b*t**3 + k*t + x and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 515\/6 + -86. Let x = -0.6 + -0.4. Which is the nearest to x? (a) u (b) -3\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -37. Let j = -1683 + 755. What is the remainder when 4\/(-14) - (1 - j\/(-14)) is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = n - 26, -n - 2 = 2. Suppose w + 0 = -3*u + 4, 3*u = 2*w + h. Suppose u*g = -g + 39. 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 ten millions digit of 1389392777?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -45. Let y = -13 + n. Suppose 0 = -y*b + b. Solve -2*i + 0*i + 10 = b, -i + 7 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 + 74. Suppose 0 = -2*z + 35 - 27. Suppose z*i - 96 = i. What is the greatest common divisor of x and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwxwxnwnxnwxxxnwx. What is prob of picking 4 w?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 128*o + 130*o = -10, -2*d = -5*o - 25. What is the biggest value in 1, d, -0.3, 2\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.5, 3\/17 in decreasing order.\nAnswer: 0.5, 3\/17, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose 2 = -o + k. Solve -o*f = -4*b - 2, f + 3*b - b = 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6455 and 50349?\nAnswer: 251745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2)\/(27\/((-540)\/(-16))).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 9) + 565\/30*-4. Is -1 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -73164*b**3 + 73165*b**3 - 3*b**2 + 0*b + 5*b + 3. Let i be u(0). Calculate the highest common factor of i and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3)*3 - (-2*sqrt(8)\/sqrt(4) - sqrt(2))**2.\nAnswer: -18 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 6*z - 6. Let b be h(-4). Suppose b - 11 = l - 5*k, -5*l = -k - 27. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -106 - (0 - 20\/(-5)). Let r = -59 - p. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 164740.985921.\nAnswer: 164740.985921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l. Let x be w(3). Let h = 58 + x. Suppose -3*c = 5*d - 159, 3*d + 4*c - h - 60 = 0. Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*m - 11*m - 15. Suppose x + 1000 = m*f, -3*f - x + 750 - 142 = 0. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 139 or -1.52373?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300222552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/23, 28217\/3, -0.07, -5 in ascending order.\nAnswer: -5, -2\/23, -0.07, 28217\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Let y(w) = -12*w - 17. Let p(u) = 2*u + 3. Let m(i) = -5*p(i) - y(i). Determine -2*m(n) - 2*x(n).\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -15.2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 41*y**2 - 24*y. Let q(n) = 5*n. Determine q(f(z)).\nAnswer: 205*z**2 - 120*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*o**3*w + 132*o**2 + 769*o*w + 6057189*w with respect to o.\nAnswer: 15*o**2*w + 264*o + 769*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**7\/14 - 9*x**6\/5 - 96*x**5\/5 - 112*x**4 - 384*x**3 - 768*x**2 + 75*x + 1. Factor h(t).\nAnswer: -3*(t + 2)*(t + 4)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4443\/6544 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 9*u - 70 = 0. Let t(n) = n**3 + 7*n**2 + n - 5. Give t(u).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 44 + -47 + 29\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + j**3 - 10*j - 5*j**3 - 7*j**2 + 112*j**2 - j**2 to the form l*j + t + m*j**2 + k*j**3 and give m.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 3:28 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1)*4 + 0.\nAnswer: -4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -28a (base 12) to base 3\nAnswer: -112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234624105?\nAnswer: 3, 5, 1811, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.94603 rounded to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -192 + 137. Let f = i + 57. What is the second derivative of 5*a + 0*a**5 - f*a**5 + a**5 wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1428 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8745754709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 27*h**2 - 34*h + 48. Let g(b) = 2*b**2 + 4*b. Let l(u) = -4*d(u) - 36*g(u). Let l(o) = 0. What is o?\nAnswer: -2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -863 - 146*j**4 + 49*j**4 - 52*j**4 - 13*j**4 + 17*j**4 wrt j.\nAnswer: -580*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -417.7 and -0.1.\nAnswer: 41.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1349 + 463. Let v = f - -1366. Suppose 0 = 17*a - 14*a - v. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:58 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11)*v**(-10))\/((v\/(v**(-8)\/v))\/(v**(-9\/4)*v*v)) assuming v is positive.\nAnswer: v**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((-6)\/(30\/(-5))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 25*x. Let w(q) = -14*q + 523441. Calculate w(a(h)).\nAnswer: -350*h + 523441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*l**2 - 73*l + 73*l + (-l - l + 4*l)*(7*l + 7*l - 5*l) + 5*l**2 - l**2 - 8*l**2.\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000647 rounded to 6 decimal places?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**5 + 3*n**3 - 358*n**2 - 7*n + 5. Let o(u) = u**5 - u**3 + u - 1. Let v(h) = -j(h) - 5*o(h). Find the third derivative of v(p) wrt p.\nAnswer: -180*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s - 53*s + 24 = 0. Suppose -f - s*k + 240441 = -101959, -f - 4*k + 342400 = 0. What is f rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80818, -81484, -82150?\n\"Answer: -666*d - 80152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/9 and -7\/129.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 6:46 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6)\/((-2)\/12). Suppose -4*a = f + f - 14, x = 2*a + 5*f. Let k = a + -2. Solve d + 12 = -k*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/46? (a) 3 (b) 1\/3 (c) -0.5 (d) -0.288 (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + 30. Let s = -124 + h. Let j = s - -66.00000284. What is j rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 10570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6623937*f**3*m**3 + 2*f*m**3 + 2*f*m**2 - 3*f*m + 1625*f - 3*m**2 wrt f?\nAnswer: 39743622*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (2 - 2)) + 1. Let j be -3 + 0 - (-1236)\/396. Which is greater: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 + 36 - 3*o - 6*o - 28. Let a(w) = -w**2 - 2*w + 2. Calculate 9*a(p) - 2*y(p).\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 + 6*g**3 - 8*g**3)*(-101*g + 205*g**2 + 166*g - 69*g).\nAnswer: 615*g**5 - 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 2*i**2 + 2*i + 2. Let z be u(-2). Put -3, z, 1 in ascending order.\nAnswer: -3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -28. Suppose -4*v - 9 = -d*v. Solve v*x = -y, -y = -x - 5*y + 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 15 - u - 8)*(-1 + 6 + 4).\nAnswer: -9*u + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9685681 milligrams in kilograms?\nAnswer: 0.0000009685681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2450895*-1\nAnswer: -2450895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-47)\/7 - 23*276\/3703).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r + 2. Let o be a(2). Let c = o + 6. What is the tens digit of 4\/(-2 + c) + 41?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + 39197 - (10\/(-10))\/(3\/(-18)).\nAnswer: 149, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 + -125.42. Let h = 0.32 + j. Let o = 2 + h. What is the nearest to o in -2, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -12. Suppose 0 = -0*d - 5*d + 20, -z - 5*d = -75. Is (-2 + n)\/((-1)\/z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f**2 - f + 6. Calculate h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 762 and 45816?\nAnswer: 5818632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1277 + -1209. Solve 5 = -73*k + y*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b + 1\/336*b**8 + 1\/60*b**5 - 1\/120*b**6 - 1\/210*b**7 + 0*b**3 + 0*b**4 + 0 + 7*b**2. Let f(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 10:50 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-9 + 2 + (13 - -10) - 5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614*z + 7087 = -31*z + 18168 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 143460 (base 8) to base 5\nAnswer: 3112432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -43. Let r(g) = 2*g**3 + g**2 - 4*g + 3. Let m be r(d). Calculate the highest common divisor of m and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13*m. Let g(r) be the third derivative of r**4\/12 + 17*r**2. What is l(g(q))?\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -3) + (9 - 5 - 4). Let v(k) = k**3 + 5*k**2 - 6*k. Let g be v(o). Let c = 197 - 141. What is the highest common factor of c and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/6*(594 - 3)*68\/34. Is t equal to 2560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/3 - 3*h**2 - 5*h - 15. Let c be z(-2). Find the third derivative of 16*l**2 + 4*l**c + 7*l**6 - 4*l**3 - 3*l**2 wrt l.\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3251, 6479, 9681, 12845, 15959, 19011, 21989?\nAnswer: 24881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 123. Let z be (-3 - (-8 + 3)) + 18. Let c = d + z. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1304\nAnswer: -521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50\/59 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1026)\/(-171)*(1*(-16)\/14 + 1)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192061*a**3*o*u**2 + 453*a**3*o*u - 5*a**2*o*u - 17*a*o*u**2 + a*o*u + 4*a*u**2 + a - 146*u - 1 wrt a.\nAnswer: 1152366*o*u**2 + 2718*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26589*u**3 - 26581*u**3 + 53171*u**3 - 3*u**2 + 230 + (2*u + 2*u - 6*u)*(-11*u - 9*u**2 + 11*u) as f + x*u + h*u**2 + p*u**3 and give p.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 + 1597*v**4 + 18*v**3 + 51*v**2 + 14770.\nAnswer: -60*v**2 + 38328*v + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 17*q + 78. Determine v(22).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007648816 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 104*d**3 - 908*d**2 + 1200*d + 16128.\nAnswer: (d - 112)*(d - 4)*(d + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 - 137. Let u = -43 + h. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 75642.\nAnswer: 1\/37821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001714 to seven dps.\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.4 + -0.4. Let h = -3.7 - 0.3. Let g = -7 - h. Which is the second biggest value? (a) 2 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q + 1. Let t be (-16)\/7 - 12\/(-42). Give f(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76141 or -74985?\nAnswer: -76141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11511 - -8256054707.\nAnswer: 8256066218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 7, -5, 0.3, -15\/11?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/4 + 4\/16. Is -4 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.27 + 0.27. Let i = -2796 + 2796.08. Sort i, 4, q, 2\/5 in ascending order.\nAnswer: q, i, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -31, 69 in descending order.\nAnswer: 69, 2, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-11)\/a*a*a*(a*a\/(a\/((a*(a*a**(-12))\/a)\/a)))\/a*(a**(1\/7)\/a)**(-23) assuming a is positive.\nAnswer: a**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843182 divided by 614394?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((50\/(-15))\/(-5))\/((-4)\/(-1169742)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -166 and -0.07632869666.\nAnswer: -166.07632869666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w - 150. Give s(-2).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2394 * 280.3.\nAnswer: -67.10382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1.8. Let r = 0.31 - 0.01. Let q = 0.2 - r. What is the nearest to q in h, 2\/7, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 + -22. Let w = -684819720 - -684819513.0000123. Let k = w - t. Round k to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-32)*((88\/(-288))\/11)\/((-4)\/(-8)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6332632ml in litres?\nAnswer: 0.0006332632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2747*j**2 - 175*j - 1273525 wrt j.\nAnswer: 5494*j - 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*c = 433, -3*c + 288 = -0*o + 2*o. Calculate the greatest common divisor of 196 and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - (3 + 0 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -88*o**5 - 435*o**4 - 591*o**3 - 229*o**2 + 15*o = 0. Calculate o.\nAnswer: -3, -1, 0, 5\/88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1965*i = -8151 - 33114 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -3) + -4 - 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-50)\/40)\/(4\/(-16)). Put 0.3, 49, m, -3\/7 in ascending order.\nAnswer: -3\/7, 0.3, m, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 - 1295 - 83 + 5*v + v as o + k*v and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 76\/5 of a centimeter?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-984)\/(-246)*2*(-1)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 10, -708*j + v = -705*j - 0*v + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or -1058261?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82.214 + -2740249.\nAnswer: -2740166.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q - 1566 - 2714 = -1196 + 916 for q.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309 by -3.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 8:55 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 + 9*g**2 + 14*g - 65. Let v be j(7). Let n = 560 + v. Solve -15 = -n*x - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5619 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Solve i = 5*d - 2 - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*g + 25 = -36 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j + 2*j**2 + (0*j + j + j)*(-j - 3*j + j) + 57*j - j**2 + 0*j**2 - 48*j.\nAnswer: -5*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, f: 3}. Give prob of sequence fffk.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -339a (base 13) in base 8?\nAnswer: -16071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18e + -5?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 421 and 0.1101.\nAnswer: 46.3521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -164, -167, -172, -179, -188?\n\"Answer: -d**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*r + 0)*(-2*r + 4*r + 12*r)*(-r + 1 - 1)*(-4 + 1 + 1).\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 48 = -4*j. Let d(x) = x - 15. Let l be d(j). Let z be 6\/((18\/(-4))\/l). Solve -3*a - 2*o - 3*o - 19 = 0, -2*a + 5*o = -z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3958454us to nanoseconds.\nAnswer: 395.8454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -21. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1348 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 11, -2, 6, 2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1010 + 5?\nAnswer: -1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8843 + -1.155. Let x = -0.256 - v. Let d = 0.014477 - x. What is d rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 18. Let j be k(3). Let h = 1 + -1. Let z = h + 0.5. Sort z, -2\/5, j in increasing order.\nAnswer: j, -2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58615*z - 7177*z + 35 - 29 - 6.\nAnswer: -65792*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 86?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10, 2, 0.1, 5, 5\/7 in ascending order.\nAnswer: -10, 0.1, 5\/7, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 18*o**2 - 2*o + 340. Let b be j(-19). Let h = -61 + 86. Let u = h - b. What is the remainder when u is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) 1\/2 (c) 1 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from {q: 5, m: 1, u: 1, w: 3, d: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from krjrkksjjjrjkkkrj?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + -2*sqrt(363))*-1 + 3)**2 + (sqrt(192)*-3)**2 + sqrt(336)\/sqrt(7) + 2.\nAnswer: 70*sqrt(3) + 2102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-35) + 27\/(-42)*912\/(-108).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -25, -1, 3 in increasing order.\nAnswer: -25, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h. Let c(o) = 8*o**2. What is d(c(w))?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403424219.\nAnswer: 11, 67, 547387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Let g(x) be the third derivative of x**6\/120 - x**3\/3 + x**2. Let p(k) be the first derivative of g(k). Determine a(p(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/8)\/(3\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181, 592, 1465, 2992, 5365, 8776, 13417?\nAnswer: 19480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062*c**2 - 5982*c**2 - 1413*c**2.\nAnswer: -8457*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -12. Let c = y + 7.82. Let k = 0.02 - c. Is -3\/7 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (-61 - (-41 - 15))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -559861.8.\nAnswer: -559866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, t: 13}. What is prob of picking 3 a and 1 t?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 + r + 1. Let s(d) = -4*d**3 - 8*d**2 - 8*d + 19. Let n(i) = 3*j(i) + s(i). Let f be n(-10). Let k = 96 + f. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - 2) + (-51 - -48).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 242 - 277. Let q = -34.999885 - x. Round q to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 5. Let t be (-72)\/28*4*(-126)\/18. Suppose -2*c + 30 = -4*z, 2*z + 11 + t = 5*c. Calculate the remainder when c is divided by y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -66*r - 2451. Determine w(-52).\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -126*i + 138 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - sqrt(320)*1)**2*-3 - (sqrt(245) + -3 + sqrt(245) + sqrt(245)*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5348 = 84*k - 120344. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 4*i + 2. Let u(a) = -a**3 - a + 4. Let k be u(0). Let c be r(k). Let z = c - -44. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.4 times -0.1?\nAnswer: 8.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6693 + 6591 = -51*r. Suppose 0 - 10\/13*o**3 - 16\/13*o + 44\/13*o**r = 0. Calculate o.\nAnswer: 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rogrjirrrjrvrr. Give prob of picking 1 j and 1 i.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 669745?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046 a factor of 86457822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + 133*l + 676 - 134*l + l**4 to s*l**4 + w*l**3 + f*l**2 + p*l + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7012 - -7198. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -6\/7 (c) -0.5 (d) 10\/9 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 149\/33921?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.7 - 0.7. Let v = -13 + g. Which is the second smallest value? (a) 0.3 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/9111336 and 33\/28652?\nAnswer: 9111336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -757? (a) -3\/5 (b) -0.3 (c) 0.3 (d) -1\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5378113 millennia to centuries.\nAnswer: 5.378113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 1744.\nAnswer: 104.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from ufuuuuuffuufuuuf.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 311\/17 or 17?\nAnswer: 311\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-34)*(6324\/(-992))\/(51\/(-12)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 34. Put k, -8, -0.4 in increasing order.\nAnswer: -8, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 10*y**2 - 13*y - 11. Let g be c(12). Let s = g + -4. Let p = s + -927\/8. What is the common denominator of p and 22\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 18\/57) + 399\/21 + -18.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 9. Let r(m) = 6*m + 28. Let g(l) = -8*k(l) + 3*r(l). Let h be g(-6). Let u be (1\/2*h)\/(-2). Solve u*o + 5 = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**4\/4 - 3*j**3 - 9*j**2\/2 + 1. Suppose -6*l = -34 - 26. Let y be n(l). Solve 3*a - 5*a = -y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111144107*m + 21801613.\nAnswer: -111144107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 193698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*d - 5*q, -2543*d + 2547*d + 8 = 5*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -632291 take away -4.6?\nAnswer: -632286.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*c - 3*w + 101, 3*w + 12 = 0. Let m = c - 13. Suppose m = -3*l + 72. What is the lowest common multiple of l and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. Let d be (l - -1)\/(3\/4). Let p = -6 + d. Solve 5*y - 4*s + 10 = p, 4*y = -s - 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18\/23 - -113\/115. Let a*u**2 + 0*u + 0 + 1\/5*u**5 + 3\/5*u**3 + 3\/5*u**4 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 take away -1021?\nAnswer: 3039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -93. Solve y = -4*y + i - d, y + 4 = 4*i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*10\/8*502\/(-1255).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*v - h, 5*h + 19 = v - 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 0*l)*(2*l - 3*l - 2 + 0*l)*(5*l - l - 3*l).\nAnswer: -l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 16. Let j(n) = -4*n - 65. Let q(s) = 2*j(s) + 9*u(s). Is q(10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20682198 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i**6 + 0*i**7 + 0*i + 9\/20*i**5 + 0 + 1\/24*i**8 + 13*i**2 + 0*i**4 + 0*i**3. Find the third derivative of s(y) wrt y.\nAnswer: 840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 17*k**2 + 15*k - 16. Let a be q(-16). Suppose 2*d + h - 86 = 1, a = -5*d - 5*h + 210. What is the least common multiple of d and 24?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10828*l + 40. Let z be 14\/3 + 36\/108. Let p be j(z). Round p to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(10) + sqrt(30)\/sqrt(3)*-2 + sqrt(10) + sqrt(40)*-1)\/(-4*(sqrt(162) - -4*sqrt(162))).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)*i)**(1\/21)*i*(i\/(i\/(i**8*i)))\/i*i*i*i**(-8)*i assuming i is positive.\nAnswer: i**(596\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21682.\nAnswer: 2, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 540, 1175, 2030, 3087, 4328, 5735?\nAnswer: 7290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 819404, 819396, 819388, 819380?\n\"Answer: -8*o + 819412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9567\/4 - 2405. Find the common denominator of -123\/400 and t.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64377 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3346164 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:55 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10100101101001 (base 2) to base 16\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 279038715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 + 82\nAnswer: 84.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6 = 2. Let j be a\/(-14) + 172\/(-14). Let n = -5 - j. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90264 and 890646171.\nAnswer: 11283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 520 = -4*v - 16, 5*q = -4*v - 673. Let y be q\/(-9) + 4\/(-18). Let j = y + -7. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-36)\/2*3. Suppose 4*p - q = -10. Calculate the remainder when (124\/6)\/((-6)\/(-9)) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 10. Let x be h(-15). Suppose 4*g - v = 35, -2*g + 1 + 0 = x*v. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 9. Let l be t(5). Let m = -9 + l. Suppose 2*s + g + 3*g = 268, m*s - 5*g = 223. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**3\/3 + 2*h**2 - 29*h - 28. Let x be f(24). Let y = -287 - x. List the prime factors of y.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36599533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 13*c + 8. Find the third derivative of -2205*u**4 + 12*u**2 + 2170*u**c + u**2 wrt u.\nAnswer: -840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 39. Let a = r + 32. What are the prime factors of -4 + a + -3 + 30?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -649, -650, -651, -652, -653?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253813.41ns in hours?\nAnswer: 0.000000070503725","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.01185 rounded to four decimal places?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**2 + 78*s + 984. Let l be c(-33). Let w(y) = -14597*y**3 + 2*y + 1. Let i be w(-1). Let b = l + i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 2, v: 1, c: 1}. What is prob of picking 1 v and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 3b9?\nAnswer: 3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gllyyggl. Give prob of picking 1 g and 2 l.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3331 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 120900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 211.8 - 190.8. Is 9 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/4)*i*i)\/i**3)\/((((i\/(i\/(i\/i**(-1\/2))))\/i)\/i*i)\/i)**(5\/2) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 7, -49, -163, -353, -637, -1033, -1559?\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1219383, -1219384, -1219387, -1219392?\n\"Answer: -w**2 + 2*w - 1219384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 13.1. Let m = 0 + -0.5. Let k = 0.2 + -0.1. Which is the closest to p? (a) 0 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 14 - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*z - 32. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11201 - 11195. Which is the nearest to 0.3? (a) w (b) -3 (c) 5 (d) 7\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, i: 2, f: 4, c: 4}. Give prob of picking 1 i and 2 m.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/21, -14, -2\/7, 0.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -2*g + 12 - 7, 0 = 5*x + 5*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9865442 - -4?\nAnswer: 9865446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 < 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x + 133. Suppose 47 = 3*k - x. Suppose z = -z - 3*t + 60, -k = -2*z - 2*t. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112555718 rounded to the nearest 100000?\nAnswer: 1112600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -412 + 415. Solve b + 3 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:53 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/45*6)\/((-30)\/9). Let x = -156 - -1094\/7. What is the nearest to 1\/3 in x, -4, u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*s + 28 = 0, 0*b + 30 = -3*b + 3*s. Is -8 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3 - 1281*q**2 - 32403*q - 31119 = 0 for q.\nAnswer: -23, -1, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -5*y. Factor 30\/7*h**3 + 18\/7*h**y + 22\/7*h**4 + 4\/7*h + 6\/7*h**5 + 0.\nAnswer: 2*h*(h + 1)**3*(3*h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 4*f - 24, -5*n - 14 = f + 2*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*p**5 - 2201*p**4 - 674*p - 13.\nAnswer: 720*p**3 - 26412*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -90127.5 to the nearest one hundred.\nAnswer: -90100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7934 or -7922?\nAnswer: -7934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {y: 1, n: 1, f: 1, m: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:08 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 9:58 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from wiiuuseesuex.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 3*h + 5. Suppose 0*l - 3*l + 293 = 2*m, 4*l - 3*m - 368 = 0. Suppose -2*f - l = -5*k, -3*k + 2*f + 62 - h = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 37520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 87, 58 in descending order.\nAnswer: 87, 58, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743.757 nanograms to grams.\nAnswer: 0.000000743757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 + 88. Let y = s - -51. Suppose -y*f - 25 = -151. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 517*d - 123558. Give f(239).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.7, 2, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (-13 - (1 - 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10302, -20613, -30924, -41235, -51546?\nAnswer: -61857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or -666?\nAnswer: -666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -12. Suppose y = 12 + s. Suppose m + 6*m + y = 0. Do -7 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 - 5*t + t + 3*t**2 - 5*t**3 - 1. Suppose 2*v + 9 = -1, -q + v = -8. Calculate j(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 87?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/(n\/(n**(2\/7)*n*n)*n))\/n)**35\/(n**(-2\/9)\/n*n\/(n**(-6)\/n)))**19)**(-4\/41) assuming n is positive.\nAnswer: n**(-26144\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.2 (b) -2\/7 (c) 0.2 (d) 94924\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.2 + -0.2. Let l = g + -4.82. Let n = l - 0.1834. Round n to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18923920 from -1293882.\nAnswer: 17630038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**2*r)*r*r*r)**(-13\/5)\/(r\/(r\/(r\/(r\/(r*r**(-1\/7)))))*r*r\/r**(1\/12)) assuming r is positive.\nAnswer: r**(-2257\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-6*(-10)\/15*(-175)\/350).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 257*z**2 - 27669*z + 10584. What is a(-82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8324 (base 14) in base 10?\nAnswer: -22572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 + -4) - (3 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(495)\/(sqrt(22)\/sqrt(2) + sqrt(11)))**2 - sqrt(45)) + (sqrt(2880))**2*-6)*5.\nAnswer: -345375\/4 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1035 + -1019.82. Let w = -15 + l. Let a = w + -0.1704. What is a rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {s: 6, u: 5, p: 7, c: 1}?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -10*h + 14*h + 5*d, -2*h + 4*d + 10 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 1. Let g = -16.1 - 2.9. Let p = -142.1 + 142. What is the nearest to p in u, 1, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-42)*(749\/105 + -7)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 + 0.05. Let n = -3 - -1. Let x be ((-15)\/3)\/(-40)*-2. What is the second smallest value in x, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 895, 894, 893, 892?\n\"Answer: -b + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6, 0 = 10*v - 6*v - 4*k - 3068. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - f = -9, -4*m + 8*f - 7*f + 15 = 0. Suppose 0 = -o + m*k - 4, 0 = 4*k - 8. Solve 2 + o = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*b. Let v be 3\/b + 1\/(-2). Is v greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -52*n - 7781. Give c(-153).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -50*l - 4. Let d = 14 + -11. Let t be f(d). Let o be t\/28 - 2\/4. Is -6 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.2361923 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994 (base 11) in base 10?\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 2 + 3*z + 3*z. Let n(x) = -x. Let s be 4\/(-8) + 10\/4. Suppose 3*j = j + s. Give j*m(l) + 5*n(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 45 = -4*l + 53, 0 = -2*l - 7*d + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 6*s**2 - 6*s + 7. Let q be d(-5). Let o(j) = 21*j + 63. Let u(z) = -1. Let w(y) = q*u(y) - o(y). Is 21 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161 - 89. Let k be (-74)\/(-14) - (2 - u\/42). Suppose -1 = -w + k. Is w less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 1:17 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let g(z) be the third derivative of -z**7\/504 + 21*z**4\/8 - 5*z**2 + 1. Let w(t) be the second derivative of g(t). What is y(w(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -6. Suppose -10 = g - 6*g. Suppose g*u - 6 = 2*i, -4*u = -0*u + 4*i - 12. Solve 2*c - n = -1, c - u*n - q = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 612 and 918.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2881\/603 + ((-4)\/(-18) - 0). Let j(v) = -v**2 + 6*v - 4. Let s be j(4). Suppose f - 13 = -s*r + 2*r, -l*r = -5*f - 25. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*z + 11*z. Solve 4 = z*u + g, -7 = -3*u - 2*g - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = -4*y + 204, -4*s + 756 = 4*y. Suppose g = -3*g - s. Let t = g - -97. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 4.96.\nAnswer: 4.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 28. Let v = s + -10. Suppose -5*z = -5*y + 215, 246 - 22 = 5*y + v*z. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*g**2*p**2 + 2*g**2*p - 3*g**2*t + 5*g**2 - 5*g*t - 3*g + 2207*p**2*t + 235*t with respect to p.\nAnswer: 24*g**2*p + 2*g**2 + 4414*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1198 and 13312.\nAnswer: 14510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77538 is divided by 283?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y + 1. Suppose 5*x - 41 = -2*k - 0*k, x + 8 = 5*k. Let d be (-2)\/(-7) - 23\/x. Does 13 divide t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9743\/5 - 1948. Let x(v) = v**2 + 4*v + 2. Let l be x(-3). Which is the nearest to l? (a) 0.4 (b) u (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 291190*s*u**3 - s*u**2 - 2*s*u - 82*s + 5*u + 163 wrt u.\nAnswer: 1747140*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -15. Let d(x) = 80*x**3 + x**2 + 6*x - 7. Is d(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243 and 810.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 650 and -7390344.1.\nAnswer: -7389694.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-36))\/(2\/(-66)). Let l(z) = 2*z**2 - 32*z + 34. Let k be l(15). Solve 5*u = 4*q + 6*u - 10, 0 = -k*q + 5*u + h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 = -42*q + 10*q + 1403 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -71\/5. Let h be 0\/(4*(-2)\/(4\/(-1))). Solve d**4 + 0*d - 3\/5*d**5 + h - b*d**2 - 1\/5*d**3 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(sqrt(5) + -2)**2 + -2.\nAnswer: -12*sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**3 - u**2 - 2*u + 2. Let w be s(1). Let d(h) = 6*h**2 - 8*h + 1. Let j(a) = -13*a**2 + 17*a - 2. Calculate w*j(t) + 9*d(t).\nAnswer: 2*t**2 - 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {x: 1, f: 2, p: 1, w: 1, h: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34075.\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 9*h - 2. Let q be k(9). Let j(d) = 2*d**2 + 3*d. Let g be j(q). Solve -g*r - 5*c = 24 - 4, 12 = 5*r - 3*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(-2*sqrt(272) - sqrt(272))**2 - (2 + ((sqrt(272) + -2)*-2)**2).\nAnswer: 64*sqrt(17) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -484495, -968975, -1453441, -1937887, -2422307?\n\"Answer: z**3 + z**2 - 484490*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -3*s**5\/20 + 4*s**4\/3 + 6*s**2. Find the second derivative of x(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-1)\/(-22) - 3321\/3564?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-18) - (-153776360)\/(-240))\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -944 + 1040. What is the remainder when f is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 + 1 = 0. Solve -k = -s - 0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 - (2 + -8 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14240081, 28480161, 42720241, 56960321, 71200401, 85440481?\n\"Answer: 14240080*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22295 and 9339850?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 2, q: 2, h: 2, b: 7, o: 1}. What is prob of picking 1 b, 1 f, and 2 a?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*51\nAnswer: -15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*35993.5\nAnswer: 9718.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/8)\/((-644)\/1840).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1379004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 296261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 131?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3*k - 15. Suppose 5*l - 5*b - 14 = 16, 6 = -k*l - 3*b. Suppose 2*m = 3*a + 73, -l*a + 179 = 5*m - 6*a. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20010, -20009, -20008, -20007, -20006, -20005?\nAnswer: -20004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26599684*v**3*z**2 + 23*v**2*z**2 - 2*v*z**2 - 116*v - 387*z**2 wrt v?\nAnswer: 159598104*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111199 is divided by 548?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b = o + 5, -2*o = -8. Suppose -5*k - b = -23. Let j**4 - 4*j**2 - 6*j + j**2 + k*j = 0. What is j?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**3 - 15*i + 12*i**2 + 6*i**3 + 2 - 12*i**3. Let d be r(-13). Suppose a = 5*j + 30, 5*a - 4*j - d = 17. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -767, 3 in decreasing order.\nAnswer: 3, 0, -3, -767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 916352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23389\/5 + 4678. Is m less than -27.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = 1. Let z be d\/21 - 388\/(-28). Calculate the greatest common factor of 28 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011603421 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 33344, -0.1, 64\/89?\nAnswer: 33344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 26. What is the units digit of ((-1287)\/22)\/((-1)\/2 - s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1151*l = 1158*l - 6608. Suppose -13*k + 18650 = l. What are the prime factors of k?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkvh when four letters picked without replacement from {g: 1, v: 3, w: 7, h: 2, k: 4}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*b + 4002, 4*o = -3*b + 4*b + 4001. Suppose 6*f + o - 5830 = 0. List the prime factors of f.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/20370 and 149\/660570?\nAnswer: 4623990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 68*k - 45. Give f(-3).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -562324 - -562320.00001. Let t = 10 - 14. Let n = v - t. Round n to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -3*r - 43 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -679, -921, -1161, -1399, -1635, -1869?\nAnswer: -2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1152\/11 + 2\/11*u**4 - 960\/11*u - 40\/11*u**3 + 296\/11*u**2.\nAnswer: 2*(u - 6)**2*(u - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1, q: 1, e: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 49 + 5\/10*-12. What is the second derivative of 49*u + 28*u**2 - 4*u**2 - 9*u**2 + k*u**2 wrt u?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 5*q - 4*f - 50, 767*q - 3*f - 95 = 771*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2873 times 75\nAnswer: -215475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -9*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 - 19 = 2*v, v = 3*w - 50. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36483.57 decades to millennia.\nAnswer: 364.8357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 55*r**2 - 8*r. Let q(h) = 1737*h + 2. Calculate q(y(t)).\nAnswer: 95535*t**2 - 13896*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -387 (base 10) to base 11.\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*z, 0*b - 4*z = b - 8. Let x be -23*(2 + b)\/2. Does 12 divide x + -2 + 3 + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5. Suppose -n = -2*r - 7, -4*d + 25 = 5*r. Solve d*v = 5*v + 25, 3*g + 24 = 3*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 6*x - 8. Let v be z(2). Let r be 1\/(-4) - ((-2)\/(-2))\/4. What is the nearest to -2\/7 in v, 2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 + 206.4. Let l be 4\/6 + 10\/(-24). Which is the third smallest value? (a) l (b) s (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 10 = 644988*l - 644983*l, 5*m - l + 34 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -823, -9939, -34689, -82891, -162363?\nAnswer: -280923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 20*p = 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:22 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -2.07?\nAnswer: 49.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-15)\/36 - 35\/420). Solve -3*n - 7 = 2*s, -7*s + p*s + n + 17 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(36\/3 - 3). Let q = n + -29. Let h = 93 - q. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 368*i + 49961*i**2 + 2 + 49956*i**2 - 99946*i**2 + (4*i + i**2 - 4*i)*(1 + 1 + 0).\nAnswer: -27*i**2 + 368*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. Solve 0 = p*a + a - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1735.2 - 1735. What is the fourth smallest value in -2, 0, t, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38605.01415 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*d + 7, p - 2*d + 8 = 1. Let y(x) = 25*x**3 - 2*x**2 + 4*x - 3. Let n be y(p). What is the greatest common divisor of n and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 8 (c) 5\/3 (d) 3.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 896254 and 1370.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2 - 5334*p + 10664 = 0 for p.\nAnswer: 2, 5332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxwj when four letters picked without replacement from jwrrrxrnnwrrwjw.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + 5*h + 11. Give u(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 13846.\nAnswer: 13\/6923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2623*a + 1819*a - 21330 = -1278*a for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-11)*w)\/(w\/(w\/(w*w*w**(-2\/33)*w))))\/(w**(2\/41)*w*w*w*w\/(w\/(w*w**(-11)\/w))*w))**(-31) assuming w is positive.\nAnswer: w**(251162\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -45. Let y = -3 - o. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4660 and 4650690.\nAnswer: 2167221540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 27*l**2 - 11*l**2 + 44 + 8*l**2 - 25 to the form h*l**2 + i*l + j and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - r. Let t(w) be the third derivative of -w**6\/120 + w**4\/12 - 6340*w**2. Determine 2*c(z) + t(z).\nAnswer: -z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23e7 (base 15) to base 16\nAnswer: -1dda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 334515 (base 7) to base 15\nAnswer: 12853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-73 - -7) - (61 - 66)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*c**2 - 29*c - 170\/3.\nAnswer: -(c + 2)*(c + 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u - s, 20 = 2*u - 0*u + 4*s. Suppose -3*n = 5*d - 8*d + 24879, u*d - 4*n = 16592. Round d to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498604187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 261 - 209 = 0. Suppose 5*c = -5*u + w, -5*c - 12 = -2*c. What is the greatest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 1\/24*n**6 + 191*n**2 - 2*n + 5\/3*n**5 - 605\/3*n**3 + 0 + 385\/24*n**4. Let d(l) = 0. Calculate l.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 42 + (-23 - 1) - -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15634 + -15607 + 0 + -1 + 25.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 0)*(8 - 7). Suppose -3*v = -x*b + b - 12, -b + v = 5. Is (74\/3)\/((-2)\/b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -17 (b) 0.059 (c) -4\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k. Let o(t) = 2*t. Determine -6*c(y) - 22*o(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, c: 1, l: 1, h: 1}. What is prob of picking 1 h, 1 c, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -28 - (-5 + 13 + (-4 - -4) + -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 4*z**4 + (3*z**4 - 4*z**4 + 0*z**4)*(-2 + 1 + 3) + 4*z**4 + 3*z**4 - z**4 + (-2*z**2 + z**2 + 0*z**2)*(-9*z**2 + 10*z**2 + 14*z**2).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9804 times -0.051445?\nAnswer: -504.36678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6254, 24495, 54896, 97457?\n\"Answer: 6080*v**2 + v + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-27)\/12)\/(9\/(-6))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143\/114 - 401\/456. Let d(l) be the second derivative of 3\/32*l**4 - 3\/40*l**5 - 15\/16*l**2 + h*l**3 + 0 - 31*l. Factor d(w).\nAnswer: -3*(w - 1)**2*(4*w + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 141, -155, -569, -1101, -1751?\nAnswer: -2519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, j: 1, x: 14}. Give prob of sequence jxu.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j**3 - 4*j**2 + 4*j**2)*(-50 - 62 - 21) in the form y*j**3 + f*j**2 + u*j + o and give y.\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r**3\/2 - 4215*r**2\/4 - 15993*r\/4 - 6075\/2 = 0.\nAnswer: -50, -3, -27\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44.7*4\nAnswer: 178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 27496200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 10*u - 9*u = -171. Let l(a) = 2*a - 16. Give l(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633210.\nAnswer: 2, 5, 163321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t + 0 + 0 + (-1 - 1 + 0)*(-15*t + 0*t - 2*t).\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.41483996 to two decimal places.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhppphpppph.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6948 and 4498020?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 2*r**2 + 2*r. Let a be c(2). Let s(w) = 8*w**2 + w + 26. Let b(y) = 3*y**2 + 9. Let v(j) = 11*b(j) - 4*s(j). Does 17 divide v(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 12:48 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 1. Let y(s) = 8*s**2 - 7. Let g be (12\/8)\/((-9)\/84). Calculate g*w(r) - 2*y(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 + -50 + 30 - 26) + 41.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0 + 8\/10. Let t = -3167 - -142523\/45. Let n = t + -226\/765. What is the second smallest value in 0.5, q, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -8*v + 3. Let c(a) = 3 - 2 - 2 + a**2. List the prime factors of c(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.97 - -1.96. Suppose -2*h = -0*h. What is the smallest value in 4, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*f - 82*f - 66*f + 0*f**2 + 2 + 0*f**2 - 369*f**3 to c*f**3 + p*f**2 + h*f + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -476 - -480. Is (14\/35)\/((-8)\/(-12895))*j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/814270 and 67\/8.\nAnswer: 3257080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 22*v**2 + 187*v - 15 - 168*v + 2*v**3. List the prime factors of c(-20).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -1. Let z(n) be the third derivative of -3*n**4\/4 + 2*n**3\/3 - 368*n**2. Is 9 a factor of z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 12\/5, -86?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 104\/2981?\nAnswer: 104\/2981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 26 - 5*b**2 + 20 as o*b**2 + v*b + l and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 40 = -0*y. Solve -y = 2*s + 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.05, -1, 5, -3.323, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7*w**2 - 33\/7*w + 18\/7.\nAnswer: 3*(w - 3)*(3*w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*b + 244*b - 32*b - 167*b.\nAnswer: 668*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 46*g**3 + 5*g - 5. Let s(r) = -69*r**3 - r**2 - 8*r + 8. Calculate -8*p(x) - 5*s(x).\nAnswer: -23*x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36180)\/(-144))\/(1110\/(-296)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-637)\/735 + (2\/12)\/((-1)\/2). Sort 5, 1, n, -0.1.\nAnswer: n, -0.1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001768 to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*q + 279 - 34, -q + 3*d = -30. Calculate the greatest common divisor of 225 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.5. Let x = -3.07 + 0.07. Let u(i) = -i - 8. Let r be u(-3). Sort a, x, r.\nAnswer: r, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(567) + sqrt(567) + -3 + 0 + sqrt(567) + sqrt(567) + 0) + (sqrt(35) - -1*sqrt(3500))\/(3*sqrt(20)))**2.\nAnswer: -227*sqrt(7) + 361027\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197\/378 + -5\/54. Let x = 6.9 - 1.9. Let t = 112\/3 + -37. What is the third biggest value in x, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/18)\/(0 - 4\/(-42)). Suppose 5*i = -2*i - n*i. Solve -c + 4 + 0 = i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -1312.\nAnswer: -63\/1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*q**2 + 2*q - 424*q**2 + 2*q - 2*q - 319 + 216 wrt q?\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -543917861*i - 360960850.\nAnswer: -543917861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286 - 284. Let a = -0.05 - 0.05. What is the fourth smallest value in z, -1.3, 1\/6, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2796 - -2796.0000006872. Round y to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05025 to three decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22 - 92 - 6126*l - 18 + 17 wrt l.\nAnswer: -6126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z - 3. Determine u(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5569 = l + 591, -3*l = 2*h - 14894. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3412077 nanoseconds?\nAnswer: 0.0003412077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362289076 divided by 2.\nAnswer: 181144538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millimeter in micrometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4903*o - 29463. Determine i(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7705 is divided by 294.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 9:21 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 3*u**2 + u. Let o be r(-3). Let j = o + 1. Let k be (-1 + 14\/j)\/(-2). Solve l - y + k = 0, l + 4 = y + y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 474269198?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 4*u - 1. Let l be z(-3). Let g = l - -5. Let d = -4 - g. Sort -1, d, -3 in descending order.\nAnswer: -1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75.7 and 4.\nAnswer: 302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1408 + -9860\/7. What is the third biggest value in 365, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 107 - 309. What is the remainder when s is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -0.4, -30657\/7, 0.5, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Let l be ((-1)\/1)\/((-11)\/(-11)). Which is the fourth biggest value? (a) t (b) -4 (c) -1\/7 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(98)*4)**2.\nAnswer: 156800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71574395362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -651956*0.023.\nAnswer: -14994.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6152 and 6984058.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 152420, 152421, 152422?\n\"Answer: z + 152419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/3))\/(u**(-8)\/u)*((u\/(u\/(u**(-7)\/u))*u)\/u)\/u**10 assuming u is positive.\nAnswer: u**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 17*f = 10*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1622 + -1106. Suppose -z + y = 3*z. Calculate the remainder when z is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let x(b) = -13*b. Let t(r) = -4*d(r) - x(r). Let v(q) = 69*q**2 - 34*q**2 - 33*q**2. Calculate t(v(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {m: 2, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.11, 1, 6, 0.6, -1\/51?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 3, 35, -6, -4, 479.\nAnswer: -6, -4, 1, 3, 5, 35, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1106 - -3?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 42 = -3*w, -2*w - 4*f + 21 = -3*f. Let d = w + -8. Put 5, d, -1 in descending order.\nAnswer: 5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s + 6 = 2*h, 5*h - s - 15 = 0. Suppose 2*v + 0*v - 10 = 0. Solve -4*a = -2*j - 10, -2*a = v*j - 2 + h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + o - 8 + 15, 2*m = 3*o - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4928214*s**4 + 3973172*s?\nAnswer: -59138568*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2117059 and 90013.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxzzxxxxxzxxxxxzxxx. What is prob of picking 1 x and 3 z?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - (36 + 10)) + 1 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*l**2 - 6*l - l - 7*l**3 + 5*l**2.\nAnswer: -7*l**3 + 47*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 - 5 - (2 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 31. Let j(c) = -3*c**2 + 8*c + 4. Let y(x) = x**2 - 2*x - 1. Let i(a) = j(a) + 4*y(a). Determine t(i(q)).\nAnswer: 2*q**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3 - 1 = 0. Let r be (4 + -2)*(-5)\/v. Suppose -4*l - x + 9 = -0*x, -3*l + x = -r. Solve l*y - y + 2 = 0, 3*y = -s - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 7*d**2 - 7*d - 3. Suppose 0 = -w + 5 + 1. Let i be f(w). Let r be (-26)\/(-6) - 6\/i. Solve 6*u - 3*q = u + 10, 30 = u + r*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17581921 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-2))\/(2 - 6). Solve -2*r - r - 12 = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 161.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.5 (b) -10\/31 (c) 2\/421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/289254 and 143\/5964.\nAnswer: 578508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 820*b + 3260. Calculate x(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2 and 59\/266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1396 divide 12382961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*v - 3*s + 19, 3*s - 21 = -v. Let q(t) = 2*t + 0*t + 4 + 0. Give q(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 614 - 3440?\nAnswer: -2725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282990608?\nAnswer: 2, 541, 32693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4488 + 4487.6. What is the second biggest value in j, -1\/7, -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36000\/1080 - (56\/(-12) - -4).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1786.3 + -1769.999504. Let t = -16.3 + n. Round t to five dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1532*i**4 + 504*i**4 + 897*i**2 - 4784*i**2 wrt i.\nAnswer: -24672*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:36 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - 3*j. Determine o(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/60 + k**5\/40 + k**4\/12 - 64*k**3\/3 - 19*k**2. Let a(q) be the first derivative of r(q). Calculate a(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-76)\/(-16))\/(45\/24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*v + 3, 3*q - 5034 = 2*v - 5035 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/35061029 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/6 - a**2. Let o(p) = 2529*p - 7673*p + 2558*p + 2551*p. What is g(o(q))?\nAnswer: -140*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 4*n + 1400168 - 1400148, -25 = -5*h - 5*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 3*m - 5. What is w(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -17.6. Put 1, 4, q in increasing order.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3043 or 21?\nAnswer: 3043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -940 + 9431. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162046.\nAnswer: 2, 103, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13781935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1028 = -5*n, -2*t - 20 = 3*t. Suppose -n = j - 3*j. Let r = -49 + j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcaacvcvvzgv. What is prob of sequence azc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -3*w**2\/2 + w - 14. Determine k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -274\nAnswer: -3\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*r - 6, 0 = -4*h + 15*r - 11*r + 16. What is the highest common factor of h and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 397 and -1.7876.\nAnswer: -709.6772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((-3*v + 0*v + v)*(-4 - 2 + 2) - 6*v + 0*v - 7*v + (3 - 3 - 3)*(-2*v + 1 - 1)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 15*z. Let w be (-2)\/10 + 28\/(-10). Let u(s) = 5*s. Let q be (16\/10)\/(-2*(-11)\/110). What is q*u(a) + w*x(a)?\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120.8 - -121. Let u = 3.8 + h. Let g = 727\/68 - 43\/4. Which is the third biggest value? (a) g (b) u (c) -5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - x**3 + 2*x**3 - 12*x**2 - x - 1 + 10*x**2 to the form y*x + z*x**2 + v*x**3 + b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v. Let c(r) = 1116861*r. Calculate c(i(h)).\nAnswer: 1116861*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42787 - 15516. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124436 divided by 4?\nAnswer: 281109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b - 120*b - 150 = -43*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1890, -1775, -1466, -867, 118, 1585?\nAnswer: 3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207026 is divided by 2683.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 - 188. Let t be (p\/(-8))\/((-123)\/328). Suppose -j = 3*j + 100. Is t > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158009?\nAnswer: 158009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538272587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11803, -11808, -11815, -11824, -11835, -11848?\nAnswer: -11863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356459163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 582367 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 8 + 0 = 0. Let f be (-6)\/w + 0 + -1. Suppose -5*c - 5*v - 24522652 + 522667 = 0, 4*v - 9600012 = f*c. What is c rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = c + 3*c + 13, 5*c + 15 = i. Suppose -2*n + i*g + 1473 = -1346, 0 = -3*n - 3*g + 4176. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.596525 centuries?\nAnswer: 3115.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2429 and 37\/694?\nAnswer: 4858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 7:05 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v**2 + 4*v. Let f(r) = r**3 + 8*r**2 - 5. Suppose -83 = 11*j + 5. Let a be f(j). What is x(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3 - 2*x + 5*x**2 - 3*x**2 - x**2. Let u be d(4). Suppose -2*j + o = -3*o - 60, -130 = -5*j + 5*o. What is the highest common divisor of j and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t - 42 + 17 + 25 - 2*t**2 as v*t**2 + k*t + g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2075, -4966, -7857, -10748, -13639, -16530?\nAnswer: -19421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -455\/532633 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1\/(0 - 1). Let f(t) = -6*t**v - 13*t + 13*t + 3*t**2. Let j(c) = 16*c**2. Let w(x) = -11*f(x) - 2*j(x). Let k(u) = u**2. Calculate w(k(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 874 + -844. Calculate the highest common divisor of w and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(1300) + 1 + sqrt(208).\nAnswer: 3 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -14. Calculate the greatest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8575 and 571243225?\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 12 (b) 240 (c) 6 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(1 - 111\/117). Let w = v - -221. Suppose -58 = -f + 5*y, -2*f + w = -0*y + 2*y. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6104 + -8193. Is k less than or equal to -2091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1327 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 351567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -3*z**5 - z**2 + 15. Find the second derivative of q(w) wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1303*n + 1303*n - 101*n**3 - 97*n**3 + 196*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**3 + 3*i + 53*i**2 + 58*i**2 - 108*i**2 - 3. Let w = 27 + -19. Let g(o) = -2 - 1 + w*o + 8*o**2 + 17*o**3 - 5. Determine -3*g(n) + 8*u(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + -12 + 2\/((-4)\/(-118)). Is q less than 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(((-168)\/(-2))\/7). Let g(w) be the second derivative of 0 + 1\/24*w**4 + 11*w - 1\/6*w**3 + l*w**2. Factor g(u).\nAnswer: (u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -131. What is the closest to -0.1 in -2\/11, -1\/3, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 35 = -5*q, -5*v + 2*q = -68 + 49 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-77) + 0 + 3354\/(-504) + 6.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 40. Let d = u + 7. Let r(p) = p**2 - 65*p + 123. Let k be r(2). Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 334 - 5*p**2 + p**2 - 16*p**2 - 161.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*p = -0*d - 27, 5*p = 4*d - 1. Let f = 21 + -12. Solve 24 = d*i - 2*o + 6*o, 0 = 2*i - o - f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 67?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 13 = j + 9, -b + 3*j + 10 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 168. Let o = 115 - i. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/5))**(-40)*(d*d**(-1\/4)*d)**(2\/23) assuming d is positive.\nAnswer: d**(375\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 516963 (base 11) in base 2?\nAnswer: 11001010011001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 103367813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -947277 + -336071. Let o = h + 1283349.2199748. Let i = -1.22 + o. What is i rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8266, -32812, -73722, -130996, -204634?\nAnswer: -294636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -9 + 4)*-5. Suppose 0 = h*f - 2*n - 968, 3*f = 4*n - 167 + 759. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(136)\/sqrt(4))\/(sqrt(96)\/sqrt(3)) - ((-3*(sqrt(17) + -1) - sqrt(17)) + 2*sqrt(2057)))*-2.\nAnswer: 6 + 67*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2556 by -12.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 161412.239 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124747 - 124747 + 728*l + l - l + l + (-3*l + 3*l - 2*l)*(0 - 1 - 1) + (2 - 2 + 2*l)*(-2 - 2 + 3) + 2*l + l - 6*l to the form a*l + y and give a.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**2 - 2*k**3 - 37*k**2 - 17*k**2 - 32*k**2.\nAnswer: -2*k**3 - 61*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/sqrt(252) + 1 - 4*sqrt(70)\/(sqrt(60)\/sqrt(6)))*1*-2)**2.\nAnswer: -92*sqrt(7)\/3 + 3739\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, o: 4, b: 2, f: 2, s: 1}. Give prob of picking 2 r and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3 (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Let y(f) be the second derivative of f**4\/12 - 5*f**3\/6 - f**2 + f. Determine y(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0*a**2 + 0 + 1\/4*a**4 - 2\/3*a**3 + 0*a**5 + 0*a**6 + 2\/21*a**7 - 1\/56*a**8 - 55*a. Find the third derivative of q(b) wrt b.\nAnswer: -120*b**3 + 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36913867?\nAnswer: 36913867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -17\/6, -16, -5, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 56.77059m?\nAnswer: 5677.059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3155 - -3183. What is the greatest common factor of 192 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - -9. Suppose 0*k = -4*k - c. Let q be (-80)\/(-15) - (-2)\/k. Solve 3*t - q = p, 3*t - 2*p - 5 - 5 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 - 2*i**2 + 2*i + 2 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(1\/8))\/q)**(-1)\/(q**2\/q*q)**(3\/17))**(-8) assuming q is positive.\nAnswer: q**(31\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.168656043 to two dps.\nAnswer: -9.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2444162000 to the nearest 1000000.\nAnswer: 2444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 29. Calculate the remainder when i(-11) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + 5 - (-1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1219, 3, 10203 in decreasing order.\nAnswer: 10203, 1219, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*143\nAnswer: -71.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 0*l**2 - 1\/2*l**3 + 32*l + 0. Let u(r) = 23*r. Calculate n(u(q)).\nAnswer: -69*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - p + 4*v + 59, -50 = 2*p - 5*v. Let f = 32 + p. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 7668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*c = 12, i - c - 17 = 5*i. Let p be i - (2 - 3 - -105). List the prime factors of (5\/(-15))\/(2\/p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1)\/((-55)\/(-132))*(-5)\/(-130).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 - -6)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 3*x + 2. Let b be u(-3). Let q be -2 - 2\/(-2)*b. Solve q*s - 16 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1.9826?\nAnswer: 1.9826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 + 11*y - 5. Let x(r) = -4*r**2 + 12*r - 6. Let g(f) = -3*h(f) + 2*x(f). Calculate the remainder when 80 is divided by g(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176141995?\nAnswer: 5, 67, 509, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Suppose 0 = 5*d - h - 73, -2*d - d = 5*h - 27. Suppose -r = n - d. Calculate the remainder when 21 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r**2 - 1. Let b(p) = 17*p**2 + 5. Let u(s) = 3*b(s) + 5*j(s). Let d(k) = 2*k. What is u(d(h))?\nAnswer: -16*h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530 - 4191 - 20*i**2 - 656 + 566.\nAnswer: -20*i**2 - 4811","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (3 + 1 + -1)) + -4 + 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7983308.\nAnswer: 2, 1995827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*y**2 - 90*y**2 - 299*y**2 - 744*y**2 - 319*y**2 as n*y**2 + x*y + b and give n.\nAnswer: -1525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -2*z - 7. Let x be (-6)\/(-18) - 94\/3. Let c = x - z. Solve 0 = -2*k - j - 3 - c, 3*k + 5*j + 8 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193351689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 23*b**2 - b + 25. Let i be h(23). Let m(z) = 3*z**2 + 0*z**2 + 0*z**2 - 4*z**i. Let v(o) = -11*o**2. Calculate m(v(q)).\nAnswer: -121*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/6)\/(52\/78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14934921 divided by -6.\nAnswer: 4978307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c = -61*c + 110. Calculate the least common multiple of c and (-1)\/4 - (-50)\/8.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -p - 14, -4*d - 17 = -2*p - 3. Let h be (p*-25)\/(1\/(-152)). Round h to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 0*a - 3*a)*(-a**2 + a**2 - a**2) - 6*a**3 + 17 - 17 in the form b*a**2 + o*a**3 + x*a + q and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4929211 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: What comes next: 36442, 148026, 334006, 594388, 929178, 1338382, 1822006, 2380056?\nAnswer: 3012538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbssssssvbbbvvszzs. Give prob of sequence vszz.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.062 - 553.238. Round b to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5125.665 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times -0.04\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64032.33 millimeters to centimeters.\nAnswer: 6403.233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17065312 divided by 32\nAnswer: -533291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 8.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 122 = -35*h + 3*n, 5*n + 67 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/34)\/(((-8)\/40*5)\/(-8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m*m**(-3\/2)))\/m*((m\/m**(1\/4))\/m)\/m*m*((m\/((m*m*m**(-2\/3)*m*m*m)\/m))\/m)**(-21) assuming m is positive.\nAnswer: m**(281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 1, r: 1, s: 3}. What is prob of sequence srk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 115, 117, 119, 121, 123?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 804696 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 819, 1629, 2419, 3183, 3915, 4609, 5259, 5859?\nAnswer: 6403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 - 688946*n\/7 - 1377884\/7.\nAnswer: -2*(n + 2)*(n + 344471)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 36 - 26. Let u be -3 + (0 - y) + 1. Which is smaller: u or 3\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 49506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231185.\nAnswer: 3, 5, 211, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 18*s**2 - 54*s - 25. Let r be n(14). Solve 4*h - 5 - 27 = -r*b, h - b - 1 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 4, u: 2, o: 11}. What is prob of sequence gg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let w(l) = l**2 + 1470*l + 11700. Let y be w(-8). Let u = 0.07 + -3.07. Which is the second biggest value? (a) u (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0 + 0*l**2 + 1\/120*l**5 + 2\/3*l**3 + 1\/720*l**6 + 0*l**4 - l. Let i(h) be the second derivative of f(h). Factor i(g).\nAnswer: g*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-2771423.\nAnswer: 1939996.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**2 + 6297654*h + 37786032 = 0.\nAnswer: -6, 2099224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -292, -7 in decreasing order.\nAnswer: 13, -7, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3249776930?\nAnswer: 2, 5, 47, 6914419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-138)*20304\/4512?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 457 + 1707. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/1225?\nAnswer: 3\/1225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.125761 + 2.43?\nAnswer: -0.695761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8145 divided by -15.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = -12*d + 140. Let r = 11 + d. Suppose -4*z = 4*b - 8, -4*z - b + 2 = -0. Put r, z, 11 in increasing order.\nAnswer: z, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.2, -15, -26?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + 6*(sqrt(10)\/(sqrt(720)*-1))**2 + 4.\nAnswer: 37\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxmm when four letters picked without replacement from {x: 2, y: 2, m: 10}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 131\/5 (c) 1\/16 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 12:32 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4757, -19698, -44823, -80132, -125625, -181302, -247163?\n\"Answer: -5092*a**2 + 335*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 83819720*t - 878218182609800.\nAnswer: -2*(t - 20954930)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ififijf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - (-3 + 5) - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 4)\/(-1 + 4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(539)*2 + -1 + -2 - ((sqrt(539) + -1)*6)**2*-2).\nAnswer: -994*sqrt(11) + 38874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187820 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136254 + 4*t**2 - 136254.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(2 - -4 - 1). Suppose 5*h - n = -12, 0*h - v*n - 9 = -2*h. Let m be ((126\/(-30))\/7)\/(1\/3). Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 162678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*w**4 + 370993*w**3 + 385923942*w**2?\nAnswer: 120*w + 2225958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 93494*b + 374008.\nAnswer: -2*(b - 46751)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 0*q**2 - 2*q**2 + 0*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-24))\/(6\/(-8)*-2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1244429 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + q - 18 = 0, 118*u + 28 = 123*u - 4*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13728, 27454, 41180, 54906?\n\"Answer: 13726*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 + 3*z + 4. Let r be m(3). Solve 24 = 3*h + r*n - n, 2*h - 4*n = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - i - i - 2716 = 0, 3*i = -5*z + 13645. Let h = z + -739. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 45 - 15. Let h = 23 + u. What is the remainder when 30 is divided by 19 - (-4)\/(h\/(-6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 14.3. Let z = -0.4 + q. Which is the second smallest value? (a) z (b) -3\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**5 - 128*o**3 + o**4 + 2*o**5 + o**4 + (-5*o + 5*o + o)*(2*o**2 - 2*o**4 - 2*o**2) + o**5 - 3*o**5 + o**5.\nAnswer: -5*o**5 + 2*o**4 - 128*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q)**(-1\/3)*(q**0\/q*q)\/q*q*q**(2\/5))**(-2\/33) assuming q is positive.\nAnswer: q**(8\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/11*d**2 - 36\/11 + 10\/11*d.\nAnswer: 2*(d + 2)*(7*d - 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702 a factor of 133438270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6780*i**4 + 2*i**3 - 166199*i**2 + 4.\nAnswer: -162720*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35159 rounded to three dps?\nAnswer: -0.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + d + 532, -d = 2*d - 6. What are the prime factors of (12\/(-6))\/(2 + (-537)\/y)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**4\/4 + 10*o**3\/3 - 3*o**2 + 3*o - 2. Let u = -70 + 79. Is i(u) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 132 and -4.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 51*q**3 + 386*q**2 - 5544*q.\nAnswer: q*(q - 7)*(q + 22)*(q + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m - 845 = -32*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/88654008 and -35\/3124.\nAnswer: 975194088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39384*x**3 + x**2 + 78277*x.\nAnswer: 236304*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/6 - 31510832*d - 1489398799998336 = 0?\nAnswer: -94532496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p - 11*p + (5 - 2 + 5)*(-11*p + p - 3*p).\nAnswer: -115*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 22.1. Put 0.5, -5, 2, z in decreasing order.\nAnswer: 2, 0.5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 = 0, i - 2*i = -m + 32. Let h be ((-21)\/(-12))\/((-3)\/i). Suppose c + 2*s = 6*c - 51, -c - 5*s + h = 0. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 283 = -5*m - 290, 2*m - 6 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491376 to the power of 1\/2, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 7*t = -5*t + 6*t + t + 5, -4*w - 4*t + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8180 is divided by 8169?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 843.5 - 844. Which is the closest to -0.1? (a) -5 (b) -0.1 (c) i (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -9*v**2 + 68*v + 24. Calculate q(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 4*a + 4. Let n(i) = 14*i**2 + 21*i + 21. Let j(d) = 4*n(d) - 21*r(d). Let u(b) be the first derivative of 21*b**2\/2 - 525. What is j(u(q))?\nAnswer: -3087*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000639943 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.8461, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -5 (c) 9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 2208 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/264 and (-71)\/150 + (-16)\/1840*-23.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.68824 nanograms to micrograms.\nAnswer: 0.09468824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -275, -536, -797, -1058, -1319, -1580?\n\"Answer: -261*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vph when three letters picked without replacement from vvvvvvvvvvvpvhppvvhv.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 252449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = -25*y + 3*t + 17, 2*y = 4*t + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 + 72. Put -2, t, -1, 0 in descending order.\nAnswer: 0, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561670451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.6 + -28. Let m = d + 4. Which is greater: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30520035197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -19, 4, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4104\/16)\/19 + -13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - -68) + (4 - 1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from {u: 6, v: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3300 and 80817?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 20154419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, w: 3, n: 4, e: 1}. What is prob of sequence wvwv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 199852018 * 0.1.\nAnswer: 19985201.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 2.7. Let f(v) = v**3 + 19*v**2 - 21*v - 18. Let x be f(-20). Which is the nearest to 0.1? (a) 0.2 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-520)\/30)\/(-13)*(1 - -2). Suppose -25 = -d*v - 5*f - 0*f, 4*v - 2*f + 10 = 0. Solve v = 2*m - 10, m - 4*m = 5*y - 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855052431 + 855052431 + 3*l + 5*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 50013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8*14\/(-224)*4\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 12. Let b = w + 8. What is the units digit of (-16)\/b - (-1)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/10*(-4 + -1). Let n = -346 - -349. Solve m = n*m - j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0 + 0)*(-4 + 4 + 4 - 1 + 1 + 1 - 1 - 3 + 2 + (3 - 1 - 4)*(1 + 3 - 5) + 3 + 2 - 4 + 1 + 1 + 0)*(4*s - 2*s - s).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y - 67*y = -d - 8029, 2*y + 2*d - 4032 = 0. Calculate the remainder when y is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.549 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148.9 - -167. Let k = r - 17.7. Sort 0, k, -3, -1\/7 in descending order.\nAnswer: k, 0, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400988770*h**3 - 32893202*h wrt h.\nAnswer: 2405932620*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.095 and -0.8?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1031915622, -1031915624, -1031915626, -1031915628?\n\"Answer: -2*x - 1031915620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*h - 4*q, 129*h - 133*h - 3*q = -5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1606*u**4 + 6*u**2 - 12*u - 2061. Let y(b) = -b**4 - b**2 + 2*b. Let w(a) = r(a) + 6*y(a). What is the derivative of w(m) wrt m?\nAnswer: -6448*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -53, -94, -153, -236?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Suppose 2*v + 5*a - 5 - 14 = 0, 15 = 5*a. Suppose 3*w = 2*j - 8, -3*w - 12 = -4*j - v. Calculate the smallest common multiple of p and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, k: 1, u: 3, x: 7}. Give prob of picking 3 h and 1 k.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 16*y**2 - 19*y + 26. Let b be c(15). Let n = b - -35. Put 10, n, -2, 4 in increasing order.\nAnswer: -2, n, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/n)**(2\/13)*((n\/(n\/(n*n**(-2\/95))*n)*n)\/n)\/(n\/(n\/n**31)) assuming n is positive.\nAnswer: n**(-36981\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 146*o - 277*o + 135*o. Let s(n) = 4*n. Determine s(i(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5718075 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036289 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.306 take away -2.4?\nAnswer: -33.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazcznzzaazzaznz. What is prob of sequence an?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1887, -1888, -1889, -1890?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 4:28 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -161*d**3*m**3 + d**3 + 35*d wrt m?\nAnswer: -483*d**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*a**2 - 7*a**3 + 2645*a - 2645*a)*(2*a**2 - 3*a + 3*a) + (4*a**3 - 2*a**3 - a**3)*(a**2 - 4 + 4).\nAnswer: -13*a**5 - 204*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -9. Let b be (-7 - -13)*82\/164. Sort b, y, -5, -2 in decreasing order.\nAnswer: b, -2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -994680*l**4 + 684845 wrt l?\nAnswer: -3978720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 22*v**2 - 134*v + 12 = 0.\nAnswer: 1\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 5.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffsnaaasfas. Give prob of picking 1 f and 1 n.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**3 - 4*w**2 - 16*w + 16 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*j**3*y + 583*j**3 + 45*j*y wrt y?\nAnswer: -29*j**3 + 45*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.0264 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w + 3. Suppose 18 = 2*k - 5*q, 5*k + 2*q - 4*q - 24 = 0. Let j(u) = -u**3 + 4*u**2 + 2*u - 1. Let c be j(k). Is i(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + -37 + -22 + 52.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 708 = 5*d. Suppose -5*t + d - 34 = 0. Let c = t - -32. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 * 199\nAnswer: 11144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1010010001101001101011?\nAnswer: 1010010001101001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 5062755371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 0*p - 1\/4*p**4 + 39 - 47\/2*p**2 - 7*p**5 + 0*p**3. What is the second derivative of h(w) wrt w?\nAnswer: -420*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -132\/185, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 13*i**2 - 12*i + 16. Let d be a(12). Let j(m) = m + 1. Let x be j(d). What is the greatest common factor of 153 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000375 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 12 = -8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1430 + 2*o + o**2 + 6*o - 6*o + 1428 + o**3. Let z(r) = r**3 + 2*r**2 + 3*r - 2. Give 4*a(c) - 3*z(c).\nAnswer: c**3 - 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**3*n**2 - 1289838*a**3 - a**2*n - 1408*a*n**3 + 3*n**3 wrt n?\nAnswer: -12*a**3 - 8448*a*n + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from {k: 4, j: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 724946218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26532 and 86797964?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.07 - 2.97. Which is the closest to x? (a) -4 (b) 1 (c) -1.3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*t - 4*s, 0*t - 14 = -3*t + 4*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3*m**2\/2 - 1485. Let j(x) = 47*x**2 - 3. Determine v(j(p)).\nAnswer: 141*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/((r**(3\/8)\/r)\/r*r*r))**32\/(r**(4\/3)\/(r*r**(14\/3))) assuming r is positive.\nAnswer: r**(265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 35*r**3 - 2*r**2 - r + 2. Is 5 a factor of b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-6))\/((-86020)\/(-28152))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 277289, 27, 0.3 in ascending order.\nAnswer: 0.3, 27, 277289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3724 - 3731)*(24\/21 - -2*1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 3*v**2 + 0*v**2 + (-v + 2*v - 2*v)*(-2 - 2*v + 2) - 2*v + 2*v + 3*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 equal to -2841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -30\/17 (b) 22 (c) 0.77 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2021*g = -28796 + 79321 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17695\/4 - -4424. What is the closest to -0.06 in 2\/9, j, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105123 a multiple of 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {b: 1, o: 1, w: 4, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*o - 244800, o - 116977 + 35377 = -5*c. What is o rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -626535 divided by 65?\nAnswer: -9639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1361 - -139. Let i be (2\/2)\/(4\/c). Let y = 534 - i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*56720\/(-2127).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 3*t - 5 + 0*t + 0*t. Suppose 121*a + 75 = 136*a. Give b(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2 - h - 4. Determine d(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -279\/40 (b) 297 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 732598303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:36 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -430 - -1198. Does 28 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209724 divided by 156?\nAnswer: -17477\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/((69\/(-92))\/(27\/(-8))). Calculate the greatest common divisor of 102 and c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:53 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1358492 and 3562?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12516, -25280, -38064, -50880, -63740?\nAnswer: -76656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255608*c**2 - 2*c - 13196.\nAnswer: 511216*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -7, -0.5, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -21. Put t, 1, 3 in ascending order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -2\/9*g**3 + 3 + 1\/18*g**6 + 0*g + 0*g**4 - 1\/6*g**2 + 2\/15*g**5. Factor j(r).\nAnswer: r*(r - 1)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90.99 + -0.99. Let y = -73 + c. Which is smaller: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 234298?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 16*y**2 + 16*y + 18. Let g be f(-15). Let l be -2 - (468\/(-4) - g). Which is smaller: l or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872.4 + -10330414.94?\nAnswer: -10329542.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1138, -1136, -1134?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*v + 103*v - 52 - 187*v)*(3 - 3 - 4 + 2*v).\nAnswer: -14*v**2 - 76*v + 208","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 656*p - 24271. What is l(37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*p**3 - 33*p**2 + 3*p wrt p.\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 s when three letters picked without replacement from vsvvvvssfssvvvff?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 4275989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 3. Let y be d(-4). Let o = 4 + y. Calculate the highest common factor of 45 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 9*c**2 + 8*c + 13. What are the prime factors of g(-7)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3193204 = 3*y - 1899449, 4*y - 3*l - 6790204 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3 - 18*u + 7 to k + j*u and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 14*b**2 - 2*b + 32. Let q be i(14). Solve -6 = q*a - 2*x, 2*x + 5 = -3*a + 4*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 3 - 5)*(-5 + 0 + 4) - 2 + 4 + 2)*(h**2 + h**2 - 3*h**2) - 6*h**2 - 5*h**2 + 5*h**2 as i*h**2 + s + v*h and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -38293*h - 76616. Calculate p(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h**2 + 5*h + 4. Let g(x) = 9*x**2 + 6*x + 4. Let j(m) = 5*g(m) - 6*l(m). What is the derivative of j(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 25*p. Let g(x) = 34*x**2 + 2*x - 2. Let m be g(1). Let a(i) = 7*i - 3. Let u(r) = 40*r - 17. Let y(b) = m*a(b) - 6*u(b). Calculate y(v(s)).\nAnswer: 2*s**2 - 50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, n: 2}. Give prob of picking 1 n and 3 l.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 23*p**2 + 13*p**2)*(-2 - 4 - 2)*(-2 + 2 - 2*p**2).\nAnswer: 624*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10.4 (b) 1\/22 (c) 2\/3 (d) 5 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420060 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from immhdrimyrhyiym?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -14. Let k = -7 - -7.3. Let g = k - -3.7. Which is the third smallest value? (a) j (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10002022303130 - 1?\nAnswer: -10002022303131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*a = -80*a - 5. List the prime factors of 101*((a - 2) + 2).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 1. Let s be 1 - (-3)\/6*10. Let p be s*2\/(-3) - -2. What is k(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 38186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 167142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -x - 18, -25*z + 3*x - 14 = -27*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655 - 267 = 3*f + 48*f - 55 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142863364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.228 - 605435377.\nAnswer: -605435377.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -36 + 311. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*t - 467*t - 5308*t**2 - 2.\nAnswer: -5308*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230003 - -4?\nAnswer: 230012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7428663*n**3 + 2498485*n**3 - 6505458*n**3.\nAnswer: -11435636*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 0. Suppose -4 = -5*z + r. Solve -4*j + 5 - 7 = z*m, 1 = -4*j - 3*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*t - 36, -5 = -i + 4*t. Suppose 3*c = 5 - i. Let y be (c\/6)\/(8\/(-12)). Is y less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9225 and 230?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(((-12)\/(-18))\/((26 - 19) + -55))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8681919 - 107\nAnswer: -8682026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 5*i - 4*z, 10*i + 3*z - 26207 + 26229 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 + 5. Let z(t) = -t**2 - 1. Let b(m) = -m**2 - 5*m - 1. Let o be b(-5). Let r(f) = o*c(f) - 5*z(f). Let w(g) = 6*g**2. What is r(w(n))?\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 2*z**4 - 1 + z**4 + 2*z - 1 + 2*z**2 to the form q*z**4 + i*z**3 + g*z**2 + p*z + o and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 599\/5 and 121 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/180 and (285\/(-150)*2)\/(-24).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29393951 at most as big as -29393952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 + 47*t + 83. Calculate the lowest common multiple of q(13) and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*i = -144*i + 30. Suppose -1\/3*x**3 + 1\/3*x**4 + 1\/3*x**i + 0*x + 0 - 1\/3*x**2 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**8\/40 + 41*a**7\/525 - a**6\/100 - 37*a**5\/150 + 2*a**4\/5 - 4*a**3\/15 + 3*a**2. Suppose p(o) = 0. Calculate o.\nAnswer: -1, 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 - 4)*(1 - 1 - 1)*(-3*x - 1 + 3*x - 4*x).\nAnswer: -56*x - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17745 = 218*x + 7717 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -18*f - 4*r - 26798, 3*f = -2*r + 40173. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 14*i**2 - 2*i - 4. Let q be c(-3). Let g = -69 + q. Suppose -2*h + 4*x - 64 = -7*h, -5*h + x = -g. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4272 and 458884.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 32860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*x - 2*x - 1, -2*x = -2*d - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*q + 21*q - q**4 + 1 - 7*q - 14*q**4 + q**2 + q**3 as j*q + b*q**3 + g*q**4 + i + r*q**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 5*i - 8. Let v be r(-3). Let w = -10 + 18. Calculate the highest common divisor of v and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*j + 8 - 3, -1 = -5*v + 3*j. Let w be (-12)\/(0 + 4)*v. Let r(s) = 2*s - 2*s**2 - s**2 + 2*s - w - 8*s. What is r(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011903 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/84 and -9\/5.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -52, -110, -188, -286?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - -0.29. Let a = 2.2 + -2. Let c = a + n. Which is bigger: c or -2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiff when four letters picked without replacement from {f: 2, y: 2, w: 2, u: 1, i: 8}?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (-2*sqrt(242) - sqrt(242))) + -5 + 1 + (0 + sqrt(242) - sqrt(242)))**2 + -2 + -3.\nAnswer: -352*sqrt(2) + 3883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:39 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101321142 (base 5) to base 8.\nAnswer: 11025174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-7))\/(5 - 4). Let v = 2 + -6. Let u = -4 - v. Is u at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 16303020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -169852271, -169852270, -169852269, -169852268, -169852267?\n\"Answer: l - 169852272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 125400 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1931 - 40585\/21. Let q = -88937\/21342 + 2\/3557. What is the common denominator of q and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzlqlzzozlzpnn. Give prob of picking 1 p, 1 l, 1 q, and 1 n.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {e: 1, k: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -2748\nAnswer: 13\/2748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 1, x: 2, k: 1}. Give prob of picking 1 k and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*q**2 - 45*q**2 - 145*q**2)*(-2*q + 2*q - 2*q) to r*q**2 + l*q + h + c*q**3 and give c.\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.476888 + -0.067298. Let h = n - 0.41. What is h rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54c - -6b1?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7743603029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -5, -62\/21, -1\/74, -187, 0?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*q + 68 = 4*y - 333*q, -2438 = -0*y + 3*y + 64*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156036 and 143033.\nAnswer: 1716396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 231\/5? (a) -29 (b) 1\/4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -1\/12*d**4 + 116\/21*d**7 + 6*d**3 + 0*d**2 + 0*d**6 + 11*d + 0*d**5 + 0. What is the third derivative of h(f) wrt f?\nAnswer: 13920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 146 = 6*q + 4*x, -5*x - 205 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 199*n = 28*n + 125*n - 5632 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = d + 7, -2*i + 5 = -3*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188\/1*4 - 76\/(-38)?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {m: 1, n: 2, q: 3, s: 1, c: 7, z: 3}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6. Let l be (z - 4)*8\/8. Is 11 a factor of (-4)\/(l\/(-3)) - -74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, -1.43, 66\/95 in descending order.\nAnswer: 66\/95, -0.5, -1.43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305331 (base 6) in base 5?\nAnswer: 1241120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 5, -12, 3.\nAnswer: -12, -2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 152133 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-118)\/118)\/(4\/(-12) + 8\/(-3)). What is the closest to 0 in -28, 1, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, 2\/7, -16, -0.143, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8430884 rounded to the nearest 100000?\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnxasna. What is prob of sequence xnnn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100001 + 1211100?\nAnswer: 2011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.34 - -206.66. Let y = c + -25. Let k = y - 185.99999368. Round k to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -695.2 - -695. Which is the fourth biggest value? (a) v (b) -0.14 (c) 2\/11 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) + 0\/(-5). Suppose u = -j - 1 - 0. Let l = j + 14. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -45*j. Suppose 9*d - 5 = 13. Let z be ((-4)\/d)\/((-4)\/(-6))*1. What is the tens digit of v(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027820 divided by 2?\nAnswer: 1013910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832490 is divided by 8242.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -0.2, 1\/4, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5176490.\nAnswer: 2, 5, 11, 47059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 8*f**2 + 226*f - 37*f**2 - 4*f**3.\nAnswer: -2*f**3 - 45*f**2 + 226*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314 rounded to the nearest ten?\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-0.0983193.\nAnswer: 2.0647053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 0.083945?\nAnswer: 0.916055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b - 2. Give h(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 576991 and 0.\nAnswer: 576991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -c4 (base 16) to base 13\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/(2\/9)*9\/(-54).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - k - 12 = 0, -30*t + 2*k = -28*t + 16. What is the remainder when 2*(-5 + 203 - t)\/4 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 1, -155, 76, -4 in decreasing order.\nAnswer: 76, 40, 1, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2096 and 6812.\nAnswer: 27248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131301*t**3 + 2*t + 114937?\nAnswer: -787806*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 0.2 (b) -6 (c) -53 (d) 2629 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 13*u - 7. Let f = 23 - 273. Let w = -239 - f. Suppose 0 = a + 4*a + 30. Let p(g) = 7*g - 4. Determine a*t(c) + w*p(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, and 1 x when three letters picked without replacement from {x: 3, q: 15, p: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130033021 - -21?\nAnswer: 1130033102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000212305897 to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n = -201 - 279 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46\/15 + 8\/3. Let r = -2\/79 - -188\/1185. Put -5, r, o in descending order.\nAnswer: r, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 2:59 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 239 = -4*q, 22 = 5*q - 5*a - 273. Calculate the greatest common factor of 420 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12223 (base 5) to base 11\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -17*x - 2. Is 5 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218696063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*o + 88*o - 4. Let u(i) be the second derivative of 1\/33*i**o + 0 + 4\/11*i**2 + 3\/11*i**3 + 6*i. Factor u(s).\nAnswer: 2*(s + 4)*(2*s + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17 (b) 141 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvwcq. What is prob of picking 1 c and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 416*s**5 - s**2 - 52.\nAnswer: 24960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 103*p - 328. Determine r(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40*(1326\/(-104))\/51\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -6\/71 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 351627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 3. Let p be c(0). Let x(b) = b - b + 3*b**2 + b**2 + 3*b + b**p. Give x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16857.\nAnswer: 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 322*m*r + 289*r wrt m.\nAnswer: 322*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6253 not equal to -6291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -1144412 (base 7) in base 16?\nAnswer: -238e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44742994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 32. Calculate the remainder when 37 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65268350 to the nearest 10000.\nAnswer: -65270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 82.7508 millennia?\nAnswer: 827.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2632 and 3948.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344, 732, 1120, 1508, 1896?\nAnswer: 2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5600 + 5599.98036. What is o rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 6:18 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 4. Let x(h) = -5*h - 15. Determine -15*n(o) + 4*x(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -9)*(4 - (-4)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9145 + 0.5\nAnswer: -0.4145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.9 + 51. Let c = i - 1.4. Let j = c + -0.69985. What is j rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3082 + -6773?\nAnswer: -3681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 73. Let c be 0 - 1*r\/(-1). Let z = 1 - -2. Calculate the greatest common factor of z and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - h + 257 = 0, b - 259 = -3*b - 3*h. Suppose 5*m - b = 6. Solve -2*n + 5 = 3*t - 2*t, 2*t + 5*n - m = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/54 + y**3\/9 - 18*y. Factor p(x).\nAnswer: -2*x*(x - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -8) + 2 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 - l**3 + l**3 + (2099 + 2351 - 5433)*(-4*l**3 + l**3 + l**3).\nAnswer: 1964*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 5*w**2 + 5*w + 5. Calculate i(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(2 + 1 - 2)*(8183*w - 2676*w + 1383*w) in the form p*w + m and give p.\nAnswer: -13780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 42. Solve 0 = -3*n - 1 - s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {l: 5, w: 4, o: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 99 = 3*p, 2483*u - 24*p - 879 = 2486*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174154\/(-27498))\/((-38)\/168).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwwwwwfwfjwjfwfwfnf. Give prob of picking 3 f.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 40\/43 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/10*10\/3. Suppose r*h + h = 0. Suppose h = 3*w - 1 - 2. 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*z + 0 - 20 = -4*o, 4*z = 5*o - 24. Let h be 11\/2 + (-6)\/12. Suppose 0 = -h*j - o - 1. Is -4\/3 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*p - 73 = -6*r, 0 = -4*p - 20. Solve 5*v = -0*n + n - 17, -3*v = 3*n + r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*(sqrt(80) + sqrt(80) + (sqrt(80) + 1)*1)**2 - (sqrt(80) - (-2*sqrt(80) + -4) - (sqrt(80) + 0 + 1))) + -1).\nAnswer: -2876 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2350?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 71*h**4\/24 - 4*h**3 - 3*h**2. Let i be k(9). Suppose 0 = -13*u + 16*u - i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56, -60, -66, -74, -84, -96?\n\"Answer: -q**2 - q - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 43. Let j be b(43). Solve j = 2*u - 9*u + 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -620*o + 624*o - 56, -o = 4*j + 11. Is -372\/61 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Differentiate 1 - 8*l**3 - l**q - 12 with respect to l.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 711667, 711949, 712229, 712507, 712783, 713057?\nAnswer: 713329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 10*z**2 + 9*z - 7. What is h(-8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 612, 1221, 1840, 2475, 3132, 3817, 4536, 5295?\n\"Answer: k**3 - k**2 + 605*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*l - 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*q*w**2 + 62*q*w + 9036990*q - 193*w wrt w.\nAnswer: 78*q*w + 62*q - 193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 354\/(-18) + (-2)\/(-3). Is (-410)\/k + 1*(-6)\/21 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 4. Let u be z(-3). Suppose 33 = -3495*o + 3494*o - 4*f, 5*o = -5*f - 30. Solve 0 = h + b - 0 - 8, o*b + u = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3985 - 59383\/15. Factor -56\/15*t + 2\/15*t**2 + g.\nAnswer: 2*(t - 14)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15603002*f**3 + 7718701*f**2.\nAnswer: 93618012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 1454*g**2 + 127*g - 184659. Give v(1454).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133283040.\nAnswer: 2, 3, 5, 11, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 - 2)*(-1 + 0 - 1) + (2 + 0 - 4)*(-8 - 13 - 1))*(4*a**2 + 0*a**2 - 5*a**2)*(-15 + 15 + 10*a**3).\nAnswer: -580*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*2\/(-165)*-5\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:45 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3450*l + 3442*l + 168 = 0. Put l, -1, 6 in descending order.\nAnswer: l, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929226822.\nAnswer: 2, 964613411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 6:39 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k - 70. Let g be i(-9). Let f(m) be the third derivative of -3\/8*m**4 - 5*m**g + 0 + 0*m**3 + 0*m. Let r(a) = 2*a. Determine f(r(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1676662 - 1197807 = -41*o. Suppose -5*w - o = -252574. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -839 + 882. Solve 48*m = q*m + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 180 = -v. Suppose v + 29 = 5*o. Let y = -10 + o. Solve y = -x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/12 - 7*m**4\/24 - m**2. Let w(d) = 3*d**3 - 2*d. Determine -2*i(o) + 7*w(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2452615*n**3 + 10*n**2.\nAnswer: -5*n**2*(490523*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:38 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6760 and 107796?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 5:57 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 0.15, 0.42, 1\/4, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 53, -2, 0.2, -0.4, 360 in decreasing order.\nAnswer: 360, 53, 0.5, 0.2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -29681, -59408, -89135, -118862, -148589, -178316?\nAnswer: -208043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 582028 and 589720?\nAnswer: 133866440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -460 + 464. Solve -5*m - 11 = 3*o - 3, 3*m = -f*o - 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1821, 20, -13\/3, -4\/5, 1\/2 in increasing order.\nAnswer: -13\/3, -4\/5, 1\/2, 20, 1821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*v**5 - 184*v**4 - 5324*v**2 wrt v?\nAnswer: -1200*v**2 - 4416*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(7\/(-2)) - 103\/7. Let r = -9 - d. Suppose r*i - 1232 = 2*i. Calculate the greatest common divisor of 28 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/261 + -5299\/48285. What is the common denominator of -46\/55 and p?\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/4 - 80*t + 7885\/4.\nAnswer: -5*(t - 19)*(t + 83)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**20\/(h**22*h)*((h\/h**14)\/h)**(-2\/27) assuming h is positive.\nAnswer: h**(-53\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c1a4 (base 15) to base 2.\nAnswer: -1001111110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2381648 divided by -595412.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -313, -287, -265, -247, -233?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + 40. Find the first derivative of n + 12*w**2 + 49*w**2 - 91 wrt w.\nAnswer: 122*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-59 - (-35 + 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 15, -5*c + 12 + 63 = 4*o. Let v = c - 9. Let b be (2\/(-6))\/(11\/(-99)). Solve -b = -4*w + 3*w - v*u, 4*w = -4*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 279 times 0.311\nAnswer: 86.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28\/5 - -6. Let z = 324 - 974\/3. What is the closest to z in t, -17, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11798 and -17.262.\nAnswer: 2.03657076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 12:18 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21884412 and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*1577140\nAnswer: -630856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 11*d**2 + 2*d. Let i be l(-5). Suppose j - 5*j = -i. Suppose -7*h - 4*a + j = -2*h, 0 = -4*a - 20. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72.5 - -72. What is the second smallest value in 3, 2, -127, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17539007 plus 0.152342?\nAnswer: -0.02304807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - -1) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/29406?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/11 + 1\/66. Let h = 5.05 + -4.75. Which is the nearest to 0? (a) -3\/2 (b) w (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 5*g**3 - 4*g**4 + 3*g**4 - 3*g**2 + 5 + g - 7*g**3 to the form f*g**3 + o*g**2 + r + p*g**4 + d*g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dc0 + 18db?\nAnswer: b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(700) + 4))**2.\nAnswer: -160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Suppose -2*o + 8 = m, -106 = -4*l - 3*o + 46. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 times -0.5?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 8*w - 16. What is the remainder when 46 is divided by m(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:35 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176\/15 - 838\/45. Let v = 2999\/3 - 989. Calculate the common denominator of y and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 1939 - 1950 = 3*n, 4*s + 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10389, 1, 6, -6 in increasing order.\nAnswer: -6, 1, 6, 10389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.1219mg to kilograms.\nAnswer: 0.0002971219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -3 - (1 + -13). Suppose -3*t - b = -8. Let q = -3 + t. Let p(h) = -h**2 - 4*h - 1. Determine p(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*o = 4*v - 24, -4*v + 24 = -5*o. Let z = v - 9. Suppose 0 = -3*w + 3, 0*u + 5*w - 7 = 2*u. Put u, z, 4 in decreasing order.\nAnswer: 4, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*f + 12, -y - f + 3*f + 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -532 + 535. Sort 0, 6, b, -1 in ascending order.\nAnswer: -1, 0, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 324 - 322. Let y = 37 - 37. Solve z*d - 7*d = y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 10:39 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42 + 151733?\nAnswer: 1516b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122, 238, 534, 1100, 2026?\n\"Answer: 15*y**3 + 11*y + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 + 9 + 8 - 5*o**3 + (-18*o**3 + 9*o**3 + 3*o**3)*(-2 + 2 + 3) to the form c*o**2 + p + b*o**3 + q*o and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 7*i - 4*c = -14, 3*i - 17 = -2*c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -2\/23, 13.\nAnswer: -2\/23, 5\/7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 2*d - 6. What is p(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + 2 + -2) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 163*d + 18 + 2*d**2 - 76*d - 74*d - 3*d**2. Let a be o(14). Solve -a*h = -p, 0 = 3*p - p - 4*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3111 = 3*k + 3126, 5*q = -5*k - 25. What is the biggest value in q, 6\/11, -5, 1\/6, -6\/7?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/5 - 529356*b\/5 + 317610 = 0.\nAnswer: 3, 264675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (14 - -3) + -14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -783bc7 (base 14) to base 3.\nAnswer: -21200102100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 152 = 70*g. Let f(v) = -v**2 + 4*v - 2. Let c be f(6). Let p be ((-4)\/c)\/(-1) + 0. What is the closest to -0.2 in 0.4, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*f + 1005 = 0, f + 1653 = -2*z + 7*z. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81170 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -29*v**3 - 16*v**2 - 15*v - 7. Let g(q) = 14*q**3 + 10*q**2 + 9*q + 4. Calculate 4*c(j) + 7*g(j).\nAnswer: -18*j**3 + 6*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 180825 (base 9) in base 8?\nAnswer: 333120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5. Let h(x) = -x - 11. Determine 2*h(y) - 5*s(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let x = 2\/355 - 144\/355. Let g be (-4 + -1)*(-2 + 1). Which is the closest to w? (a) g (b) -3\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + ((2*sqrt(84) + sqrt(84))*-4)\/(sqrt(70)\/(sqrt(30)\/(sqrt(3)*-1))) + 4.\nAnswer: 4 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from offfoffoffofffof.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -15*s + 4. Let u be b(-10). Let o = u + 72. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 12:35 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/160 + k**5\/40 - k**4\/32 - k**3\/4 + 95*k**2. Solve r(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 1\/30*x**5 + 17\/360*x**6 - 2\/9*x**4 + 0*x**3 - 6*x + 0 - 3*x**2 - 1\/1008*x**8 - 1\/105*x**7. Find h such that z(h) = 0.\nAnswer: -8, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -127\/5 and 6\/2395 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 - 2\/3*g**3 + 0*g**2 + 2*g.\nAnswer: -2*(g - 1)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*r - 3*v - 24, 5*r + 5*v + 50 = 0. Let k = -16 + 22. What is the smallest common multiple of 2\/r + (-74)\/(-8) and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*o - 15. Suppose 5*r - 3*r - 68238 = -o*p, 4*p - 136496 = r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t - 71*t + 9*t + 15*t + 15*t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 10*f + 13. Let s be u(9). Suppose 3*l + s = 25. Suppose 0 = l*y - 6*y - 33. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/14 of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26771\/66 + 4680\/11. What is the common denominator of 59\/6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*h**2 + 817*h**2 - 199*h**2 - 194*h**2 - 201*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1573 = 188*i - 67*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -418 - 352. Calculate the greatest common factor of s and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + q = -269, -138 = -2*r + 4*q. Suppose 4*u = 21 + r. What is the remainder when u is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280 - 73340087\nAnswer: -73339807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:51 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnon when four letters picked without replacement from oooootiniooonciiotn?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 - 221.267. Let k = -0.367 - j. What is the closest to k in 1.4, 1, -2\/19, -1\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -7 (c) 2286 (d) 2\/7 (e) 0.6 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/5, 14, -1\/3, 1\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hciy when four letters picked without replacement from {y: 2, i: 4, c: 9, h: 1}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.035 + 52. Let c = m + 0.03499985. What is c rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 27. Give y(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 24*o = 30. What is the nearest to -2 in 13, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2277*k + 784. What is the ten thousands digit of y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 10) to base 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -146*u**3 - u**2 + 2*u + 3. Let l be t(-1). Let v = l + -143. Suppose -2*j - 1 = -3*j. Sort v, j, -2 in decreasing order.\nAnswer: v, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 682\/(-775) + 16\/200\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*(-2 + 40\/(-28)). Let c = i - 21. Solve -2*j + c = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 20 - (-133)\/(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -14\/3*w**2 + 0 + 2\/3*w + 4*w**3 = 0.\nAnswer: 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 23. Let i = n - -6.4. Let o = 0.4 - i. Sort -2\/5, o, -2 in decreasing order.\nAnswer: o, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 208472.16 months?\nAnswer: 17.37268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 70297, -3 in decreasing order.\nAnswer: 70297, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*i + 5*a, 111*i - 4 = 114*i + a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q = 3*d - 581, 5*q - 595 = -3*d. Let a be ((-14)\/(-10))\/(13\/d). Put -3, a, -2, -5 in descending order.\nAnswer: a, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 3. Let o(w) = -w**3 - w**2 - 4*w + 9. Calculate -7*m(f) - 2*o(f).\nAnswer: 2*f**3 + 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16 = -5*c, 3*c - 6 = -2*j + 6. Suppose -27*q - 13*q = 29*q + 16*q. Sort q, j, -1 in descending order.\nAnswer: j, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.235 - -2.065. Let v = -0.006 + 1.596. Let u = p - v. What is u rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -670\/159 or 635?\nAnswer: 635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 18*s**2. Let b(f) be the first derivative of -f**4\/4 - 25*f - 2. Let p(k) be the first derivative of b(k). Give t(p(c)).\nAnswer: 162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -72, -101, -120, -123, -104?\n\"Answer: q**3 - q**2 - 33*q - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74651 and 76.\nAnswer: 298604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 180*y**5 + 5527275*y**4 - 5066770*y**3 + 1535395*y**2 - 153540*y = 0.\nAnswer: -30708, 0, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36423156403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 409 - -5555. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460072198 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*k - 23, 0 = -3*b - 2*k + k - 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3214415 + 0?\nAnswer: 3214415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 98050*u**3 + 98049*u**3 - 53.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 45\/6*4\/5. Suppose 0 = 5*t - 5*h + 10, 2*t + 16 = a*t + 2*h. Suppose -t*z + 22 - 6 = 0. Are z and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 3*y + 675*y**2 - 4*y.\nAnswer: 675*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148.016 + 148. Let l = -0.0224693 + 0.03847162. Let k = l + w. Round k to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - (-1 - 2)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (21\/(-2))\/(2220\/1128 + -15 + 13) is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(605) + -3 + sqrt(50)\/(sqrt(10)*-3*-6) + -4 + -2)**2.\nAnswer: -199*sqrt(5)\/3 + 200921\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(2*i - 5*i + 2*i) - 3000526 + 3000526 - 2166*i.\nAnswer: -2165*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzwwwzwww. What is prob of picking 3 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 55\/3*n**4 - 51*n**3 - 70\/3*n**2 + 8\/3 = 0. What is n?\nAnswer: -2, -1, -2\/11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*v - 53, g + 89*v = 94*v + 19. Suppose 0 = 5*t - 0*t - 3*z - 217, 143 = 3*t - 5*z. Calculate the remainder when t is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -75503.6?\nAnswer: -75498.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 5:33 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q, 3*q = -r + 4 + 18. Let k = r - 11. Let o be (18\/120)\/((-2)\/(-5)). Which is the smallest value? (a) k (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144981019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*(-2)\/(-4))\/2. Suppose -3 + 15 = 4*h - r, -5*h = 2*r - 15. Let y = z + h. Solve y*c = c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31557 - -31621. Suppose b = 2*b - 22. What is the remainder when u is divided by b + (-3)\/9*0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.3 - -1.3. Let g = 8.9 + o. Which is the nearest to g? (a) -1\/6 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 35*p**3 + 388*p**2 + 352*p.\nAnswer: -p*(p - 44)*(p + 1)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -529 - 4?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*f + 5. Is ((-4)\/(-5))\/f*15 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + k**3 - k**4 + (-2 + 3 - 2)*(-3 + 3 + 2*k**4) + k**4 - k**4 - 2*k**4 + 2*k**4 + 0*k**2 + 0*k**2.\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2099870*h - 8399456. What is n(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, -1 in decreasing order.\nAnswer: 2, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -9\/14 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 10 + 3 + -8 - -7) + -12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(55) + sqrt(55) + (sqrt(495) - sqrt(495)*2))\/(6*2*sqrt(11)) + 3.\nAnswer: 5*sqrt(5)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(44)\/(sqrt(196)*-1) + -2*sqrt(396) + -2))**2 + -1.\nAnswer: -2868205\/49 - 12240*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3931 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: Let m be (1 - -31)*(-6)\/(-8). Let h(d) = d**2 + 5*d - 16. Let z be h(-8). Suppose m = 4*q - 2*a, -3*a + a - z = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5802*t - 5802*t + 3*t**2. Let v(d) = -46*d + 1. Determine w(v(m)).\nAnswer: 6348*m**2 - 276*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 1. Let x(f) = -5*f - 11. What is 6*p(s) - x(s)?\nAnswer: -s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times 0.24\nAnswer: 0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -5*m. Suppose -7*p + 3*p = m. Suppose -5*j + j + 4 = p. Solve -h - j = 0, 2*y - h = y - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6935233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-2)*((-32400)\/(-12))\/9?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/13 (b) -0.161 (c) 4.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15*c**4 - 195*c**3 - 235*c**2 + 7200*c - 5. Let n(b) = -23*b**4 - 293*b**3 - 352*b**2 + 10800*b - 8. Let p(y) = 8*f(y) - 5*n(y). Factor p(u).\nAnswer: -5*u*(u - 5)*(u + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27557 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -158*r**2 - 31*r - 30. Let d(w) = 57*w**2 + 11*w + 10. Let i(q) = 6*b(q) + 17*d(q). Let f(j) = 2*j. What is f(i(h))?\nAnswer: 42*h**2 + 2*h - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 89. Suppose -b + 3*p - 8 = 0, 2*p = 2*b - 0*p + 4. Sort b, m, -1, -4 in ascending order.\nAnswer: m, -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 - -611. Suppose 0 = -5*y + 2*y - 1290. Let f = y + r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 22*u**2 - u. Suppose -4*s + 9*s - 2*v = 1, 0 = 4*s + v - 6. Is a(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 11 = -l, 19*d + 3*l + 5 = 24*d. Let v be (-4 - -8)*1\/(d\/5). Let t(i) = 7*i + 2. Let j(b) = -6*b - 1. Determine v*j(o) + 4*t(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 + -3.4. What is the fourth smallest value in z, 151, -1, -2\/13?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + -17 + -4 + 7 + -20?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwwccwcyyyyctycy. Give prob of sequence ct.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*c**3 - 41*c**3 + 479*c**3 + (-1 + 0 + 3)*(-3 + 3 - c**3) as v*c + h*c**2 + n + q*c**3 and give q.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*x**3 + 792*x**2 + 60*x + 39841093 wrt x?\nAnswer: -147*x**2 + 1584*x + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1555*b**5*o**3 + 6*b**3*o**3 + b*o**3 + 68*b + 41 wrt b?\nAnswer: -31100*b**3*o**3 + 36*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**3 + v**4 + 2*v - 3 + 15*v**3 - 6*v + 2*v**2 + 1 to q*v**3 + b*v + c + z*v**2 + k*v**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2977, 2979, 2981?\nAnswer: 2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p**2 - 3*p - 6. Let r(a) = -23*a**2 + 7*a + 14. Let o(w) = 7*k(w) + 3*r(w). Let d(l) = 3*l**2 - l. What is -d(f) + 4*o(f)?\nAnswer: f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 388.7 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 3274. Suppose 2*n + 639 - t = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 17 = -3*b, 9 + 11 = -4*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4861, -19445, -43737, -77725, -121397, -174741, -237745?\nAnswer: -310397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2407+-68892\nAnswer: -66485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/185 and -57\/185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 2, v: 8}. Give prob of picking 2 v and 2 a.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**4\/3 + 680*n**2 + n. Let i(d) = -7*d**2 - 7*d. Let z(m) = -7*m**2 - 6*m. Let w(v) = -6*i(v) + 7*z(v). Give t(w(y)).\nAnswer: 56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332244 + -201344?\nAnswer: 130400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**3\/3 - 5*d**2\/2 - 6*d + 142. Calculate a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 - 175. Let a = 81 + -35. Calculate the highest common factor of a and w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/12)\/(2\/12). Let p be 14\/21 - (-1)\/3. Solve -j + w*j - p = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121a4 (base 14) to base 7\nAnswer: -242664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g**2 - 42*g**2 + 13*g**2 + 1 + g**2 - 1 + 0*g + 0*g - g**2 + (2*g + 0*g + 0*g)*(0*g + 6*g - 4*g) in the form s*g + c*g**2 + j and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (72\/45)\/((-2)\/(-15)). Solve l + j = 5*v, 21 = 5*l + 4*v - 2*v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 12*k - 41*k + 55*k - 45 to the form m*k**2 + b*k + a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003250211511 to seven decimal places.\nAnswer: -0.0032502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Suppose 0 = -u + 3 - f. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3424625718 and -9.61.\nAnswer: -3424625727.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**3 - 1297*x + 1297*x.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2288)\/156*6\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*p**2 + 3*p**2 - 8*p**2)*(20*p**2 - 3*p**2 - 5*p**2) in the form f*p**4 + q + l*p**2 + z*p + d*p**3 and give f.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odvo when four letters picked without replacement from ddoddaovvov.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, x: 8, r: 3}. What is prob of picking 1 x and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*h = 25, d - 45 = -3*d - 5*h. Let t(f) = 9*f + 6. Calculate t(d).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 12*g - 25. Suppose 3*u - 4*v = -0*v, 0 = g*v. Solve u = -h, -2*h + 5 = -3*p - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(224)\/sqrt(4))\/sqrt(8).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 8 + 6)*(-8*v**4 - 9*v + 9*v) as y*v**4 + h*v**3 + l + i*v**2 + x*v and give y.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -16, -2, -698.\nAnswer: -698, -16, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Let u(c) = -206141*c**2. Calculate h(u(q)).\nAnswer: 84988223762*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 688 = -d, -3*s + 288 = -5*d - 251. Suppose 144 = -2*j - 0*j. Let h = j + s. What are the prime factors of h?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147804164 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 435*h**2 + 1532*h**2 + 176*h**2 - 2*h**2 + 3*h**2 - 3*h**2 + (5 - 3 - 3)*(-3*h + 3*h + 2*h**2) in the form f*h + p + d*h**2 and give d.\nAnswer: 2139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*1*-3*-2 + 2*sqrt(1300) + 2 + 5)**2.\nAnswer: 1120*sqrt(13) + 83249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63666242 - -3?\nAnswer: -63666237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*1029\/882?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(-2 + (1 + sqrt(396) + 5 - (-5 + (sqrt(396)*-1 - sqrt(396))))**2*1).\nAnswer: 1188*sqrt(11) + 11049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -81. Sort -9, 0, y in ascending order.\nAnswer: -9, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**2 - 53*v - 20. Give y(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24576342, -24576341, -24576340, -24576339, -24576338?\nAnswer: -24576337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39\/14 + 557\/210. Let u = 27\/4 - 181\/28. Let q = u + -4\/7. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 852 + 2672. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1926890 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222564 and 7140?\nAnswer: 7789740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 239953 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 20*j - 35. Calculate the remainder when g(-15) is divided by 56.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 7*i. What is the nearest to 3 in 4\/9, 2\/11, i?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10520803?\nAnswer: 337, 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -845, -5886, -19329, -45374, -88221?\nAnswer: -152070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 15815882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14641 rounded to 3 decimal places?\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 662382.7l to millilitres.\nAnswer: 662382700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/a**(2\/9))\/a)*a)**2)**(-41)\/(a**6\/((a*(((a*a**(1\/6))\/a)\/a*a)\/a)\/a))**(3\/7) assuming a is positive.\nAnswer: a**(-23329\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)**(-2\/15))**(-6) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*z - 0*z - 4, 5*j + 4*z + 8 = 0. Suppose j = 2*t - 3*d - 104, -42 = -2*t + d + 58. Suppose -3*g = -4*g + t. Round g to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 162*((-1)\/3 + 55\/30). Let j(l) = -l**3 + 3*l**2 + 4*l + 2. Let v be j(4). Suppose -v = -t, 2*n + 2*t - a = -19. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*h - 42 - 743 = 303 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*k + 39 + 109 = -53 - 103 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -0.2 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4502, 9076, 13654, 18236, 22822, 27412?\nAnswer: 32006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/((-500)\/(-48)))\/(16\/(-60))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 732208*x\/5 + 67016069408\/5.\nAnswer: 2*(x - 183052)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24365 and 350845.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 18*w**2 - 97*w + 106. Let c be q(17). Is c less than or equal to -1250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 3951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 30 = 2*l - 0*v, 0 = 3*v. Factor -n**2 - l*n**2 + 6*n**2 + 5*n**3.\nAnswer: 5*n**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1584) + 2)**2.\nAnswer: 288*sqrt(11) + 9528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 3, 852, 1809, -3 in ascending order.\nAnswer: -5, -3, 3, 4, 852, 1809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let f(p) = 2*p + 1. Let x = 10 + 12. Let d be (5\/20)\/(3 + x\/(-8)). Calculate d*f(n) + 5*g(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.18 in -4, -3\/8, -1313, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {l: 13, m: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 + -1 - (3 + 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q - 11. Let m(k) = -k + 6. Let z(a) = -7*m(a) - 4*p(a). Let o be z(-3). Let t(w) = -w**3 + 9*w**2 - 6*w - 6. Does 10 divide t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 (base 16) in base 6?\nAnswer: 11204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from fngffqgiffflilffi?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/4 - 40281\/(-20372)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 12, 3*g + 2*k = -2*k + 27. What is the second derivative of 0*w - 6*w**5 + 3*w + 9*w**g wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52*(-9)\/24*71\/((-4047)\/418)?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.5 + -26.47. Let f = 2.053 + d. Let r = f + -16.583. What is r rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*n - 289*n - 350*n - 245*n.\nAnswer: -687*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2215280 divided by -1\nAnswer: 2215280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 630323761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 9:39 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:15 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 6, q: 4, k: 3}. Give prob of picking 1 e and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -17*g - 7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 5*a**2 + 12*a - 10. Let p be (-6 - (-2 - -3))*(-1)\/(-1). Let w be t(p). What is the units digit of (-5)\/(w\/64*-2) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2386.051cm in kilometers?\nAnswer: 0.02386051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -10*h + 3. Let u(f) = -21*f + 7. Calculate -14*j(l) + 6*u(l).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*p = 4, 3*o - 12 = p + 16. Calculate the remainder when 31 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q. Let i(j) = 35*j**2. Give i(h(f)).\nAnswer: 560*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + (-2809441023)\/(-5544). Let z = u - 506753. Let k = -3\/56 - z. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -413337, -826690, -1240043, -1653396, -2066749, -2480102?\n\"Answer: -413353*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2. Suppose 4*a - 6 = a. Let w(f) = -f + a*f + f - 7*f. Calculate u(w(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a19128 (base 11) to base 6.\nAnswer: -55032001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 y when three letters picked without replacement from rqyrr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 9*w = -l, -5*w = -2*l. Suppose -3*v - 2*x - 2 = w, -4 = -4*v - 3*x + 2*x. Solve -4 = 4*u - c - 2*c, c = v*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -758523 + 90264836\/119. Let w = n + -163\/35. Find the common denominator of -58\/55 and w.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 200*t**2 + 63*t + 305. Give s(-100).\nAnswer: -5995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025095 is divided by 10978.\nAnswer: 4141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u. Let y(j) = -4*j. Let d(w) = -5*o(w) + 4*y(w). Let r be 4\/6 + 6\/18. Let c(i) = 3*i - 1 + r. Determine c(d(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*d + 4*d - 61 = -2*d, -3*i - 2*d = -52 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 157e (base 15) in base 4?\nAnswer: 1020023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8c3 - 19?\nAnswer: -8dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3139 = 3*o, -51*g - 1583 = -53*g - 3*o. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -7254401 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-18))\/((-660)\/20790).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*n**2 - 45*n - 1282.\nAnswer: 50*n - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/11, 1, -3, 0.614?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 20. Let n = -13 + y. Suppose 0 = 2*z - 34 + n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/47, 0, 2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 484 and 3358168?\nAnswer: 36939848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 588595246 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*s - 38 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -530*b + 7187 + 9320 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*1)\/(-2)*(-302)\/(-453).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -131?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337*z + 334*z + 27 = 0. Let h(f) = 25*f - 81. Let y be h(z). What is the highest common divisor of y and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:30 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 728333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41766?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 567*l + 420*l - 2 - 280*l)*(-5*l + 6*l + 6*l).\nAnswer: -2989*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -23*g**4\/24 - 2*g**2 - 75*g + 3. Let r(s) = 178*s. Give m(r(u)).\nAnswer: -4094*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/6 - 7*t**3\/2 + 213*t**2 + 2. Give c(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/12 + 3*w**3\/2 - 3*w**2. Let x be j(-7). Let u = x - 13. What is the least common multiple of u and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(2 - (-976)\/(-492)). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3459, -3458, -3457, -3456, -3455, -3454?\nAnswer: -3453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/3 - 2*x**3\/3 - 6*x. Find the second derivative of q(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 39460*z + 10363200.\nAnswer: 5*(z + 272)*(z + 7620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1791*t - 1573*t + 3364*t - t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -7*g + 136, 112 = -g - 27*y + 32*y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 357 = -11*u. Find the common denominator of 1 - 2 - (-70)\/12 and u\/10*7\/(84\/16).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 2177\/375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = 4*l + 48, 26 = -3*l + 2*h. Suppose 3*i + 24 = -4*s + 4*i, 3*s + i + 11 = 0. List the prime factors of (-419)\/s - l\/50.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1907 + -1883. Solve -6*v + 66 = f for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q - 172 + 170 + 42*q - 20*q. Let a(j) = -2*j + 4. Let u(f) = 20*f + 6. Let i be u(-5). Let c be i\/14 + 4\/(-14). Determine c*w(n) - 3*a(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 v when four letters picked without replacement from ijiijjvivvi?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-204)\/1496)\/(-3*3\/12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(19) + sqrt(19) + sqrt(76))*6.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsi. What is prob of picking 1 i and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - 6*c**2 - 2*c - 4. What is the tens digit of t(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - o**2 - 30 + 998*o**4 - 999*o**4 + 2*o in the form q*o + m + n*o**2 + g*o**4 + j*o**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/6)\/((-26)\/(-702)*9))\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.1, -63605.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + i)*(0*i - 3*i + 7*i + 1)*(2 - 2 - 3*i)*(-1 + 5 - 1)*(34 + 15*i - 34).\nAnswer: -540*i**4 - 135*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2802 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = -2*l + 16. What is the highest common factor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -16, -4\/5, 483.72?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 78. Suppose 192 = -17*h + 21*h. Calculate the greatest common factor of h and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2800*g + 173*g = 2627 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 13*l**2 - 25*l + 9. Determine i(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1692 divided by -9\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*j + 747*j - 27798554 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4758*y - 154 - 150 + 304.\nAnswer: 4758*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 1238\/41, 1\/8, 0.1?\nAnswer: 1238\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214.8 - 194. Let a = h + -20.8000143. Round a to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277.057m in millimeters?\nAnswer: 2277057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**5 + 28*z**4 + 10698*z**2 - 48117229*z.\nAnswer: 160*z**3 + 336*z**2 + 21396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 45537.6 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21774 + -2395123\/110. Find the common denominator of w and -95\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3200)\/(-15))\/(-20))\/(((-2)\/3)\/1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*y**3 - 9935*y**2 + 2 + 4958*y**2 - 2*y + 4987*y**2 in the form s*y + o*y**2 + j*y**3 + t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -20*p**2 + 13*p - 2. Let l(r) = -34*r**2 + 25*r - 7. Let i(b) = -3*l(b) + 5*s(b). Let n be (-1)\/(-2) + (-13)\/2. List the prime factors of i(n).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 11. Let c be j(-6). Which is greater: c or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = o + 2. Let f be -1 - -1 - (-4 + 0). Suppose 2*k - 30 = -f*k. Solve c + 5 = -a - 0*c, 3*a = -k*c - o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862749617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5509720 divided by -1377430\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281327, -562835, -844343, -1125851, -1407359, -1688867?\nAnswer: -1970375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-3 + 1 - (sqrt(133)\/(1*sqrt(7)))**2.\nAnswer: -18 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 21*w**2 + 35*w + 40. Let u(a) = 19*a + 117. Let p be u(-7). Is 10 a factor of i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0*o**3 + 7\/312*o**8 + 0*o + 0 + 1\/65*o**7 + 0*o**4 + 2\/195*o**5 - 2\/65*o**6 + 24*o**2. Factor y(b).\nAnswer: 2*b**2*(b + 1)*(7*b - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131327890?\nAnswer: 2, 5, 17, 772517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18469937 + 0.72736078. Let t = k - 0.912. Round t to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -222, -2, -5, 4, 0, 3 in decreasing order.\nAnswer: 4, 3, 0, -2, -5, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 4, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(208) + (((sqrt(195)\/sqrt(5))\/sqrt(3) - sqrt(13))**2 - sqrt(13)) - sqrt(156)\/(1*1*sqrt(12)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97326 is divided by 48661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2176 + 2257. What is the highest common divisor of 9693 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 7. Let j = 12 - h. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-420)\/(-75))\/((-3)\/(-15)). Suppose 5*b - o = d, -5*o = -5*b - 8*o + 16. Let a(t) = -t**2 + 5*t - 6. Calculate a(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1482\/(-10))\/((-126)\/(-45)). Let j = 53 + t. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21330300 (base 4) in base 12?\nAnswer: 1b700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -20 (c) -2\/3 (d) 2\/3 (e) -2\/1241 (f) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -867, -1776, -2699, -3636?\n\"Answer: -7*v**2 - 888*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10889226 + -20?\nAnswer: 10889206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 436514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14)\/(4\/(-8*1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14461298.\nAnswer: 2, 7230649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 135115635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 931, 930, 927, 922, 915, 906?\n\"Answer: -a**2 + 2*a + 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -7. Let c(v) be the second derivative of r*v**3 + 0 + 0*v**6 + 1\/42*v**7 - v + 0*v**2 - 1\/6*v**4 + 0*v**5. Find the third derivative of c(o) wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 5*a**2 - 103*a**3 - 110*a**3 + 1093 + 206*a**3 in the form m*a**2 + n + u*a + i*a**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, 4\/5, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -31*l**3\/3 + 14*l**2 + 39. What is the second derivative of r(k) wrt k?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*r = -7*r + 1340, 4*i - 5*r = 2708. Suppose 24*v - i = 20*v. Does 30 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 12?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nonvaukkkkuu. Give prob of picking 3 u and 1 n.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6926225 to the power of 1\/2, to the nearest integer?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0.6, -22, -0.3, 0.06?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 913 + 1867 = 5*a, 2215 = 4*a - i. Let b = a + -568. Suppose 3*t - t + 26 = 0. Is b less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7752 and 2292.\nAnswer: 1480632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 533 - 533.00207. Round r to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/120 + v**5\/60 - v**4\/12 + v**3\/2 + 9*v**2. Let h(z) = 2*z**2 + z - 1. Let m be h(1). Give d(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.52 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10))\/(12\/(-160)). Let c(n) = n**3 - 42*n**2 + 298*n - 31. Let a be c(33). Factor 11\/3*t**4 + 73\/3*t**a + 43\/3*t**3 + 56\/3*t + l + 1\/3*t**5.\nAnswer: (t + 1)**3*(t + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/15180 and 97\/420.\nAnswer: 106260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 1:35 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - -80 - (-62)\/(-8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -25, -26, -27?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-84))\/(2220\/11914) and 151\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b - 34 = 0. Let c be 2\/(-3) - b\/3. Suppose -c*g + 90 = -0*g. What is the highest common divisor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 4*k - q, -6270*q = 5*k - 6243*q + 611 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1910 and 1.\nAnswer: -1909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01363 and -1.65217.\nAnswer: -1.63854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*f + 64. Let o = 5 - 5.4. Let b = -0.7 - o. Put f, -0.5, b in ascending order.\nAnswer: -0.5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 - 5*m + 5. Let z be d(-6). Let b be (-6 - z)\/(1\/207). Does 23 divide (2\/2)\/((-15)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 11*u**2 + 4*u + 59. Give c(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11529 + 6730 = 1201*c + 21623 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/36 - (2240\/882)\/5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 2 - 3*n**3 + n**3 - n**4 - 5*n**4 + n**4 to g*n**3 + y*n**4 + b*n**2 + a + f*n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 + u**5 + 3*u**5 + 8*u**4 - 2*u**5 - u**5 + u**5 + (4*u**4 - 2*u**4 + u**4)*(0*u - 2*u + 3*u) - 258*u**2 + 13*u**5 + 258*u**2.\nAnswer: 18*u**5 + 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*k**5 + 11*k**2 + k**5 - 3*k**5 + 0*k**2 wrt k.\nAnswer: 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 16 + 1*8)\/(((-285)\/(-19))\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + p + 8. Let g(o) = -268*o**2 - 7*o - 56. Calculate 3*g(t) + 21*r(t).\nAnswer: -825*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*b**2 - 56*b**2 + 26*b - 3*b**3 - 12*b + 6*b to a*b**2 + s + v*b + x*b**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**2 + 6*t - 30. Let c be g(-7). Suppose 4*p - c = -2*w, 2*w - 5*p = -2*w + 457. What is the tens digit of w + 20\/((-5)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*m - 36*m - 25*m)*(-16*m + 30*m + 3 - 18*m) + m**2 - 4*m**2 + m**2 + (3*m - 6*m + m)*(2*m - m - 3*m).\nAnswer: 106*m**2 - 78*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t - 3. Let a(g) = 27*g - 7. Let z(m) = -134*m + 34. Let l(o) = 11*a(o) + 2*z(o). Let s(k) = 3*l(k) - 8*r(k). What is the tens digit of s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 19*m + 20. What is a(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -24.98. Let n = 19 - f. What is the third smallest value in n, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -597 - -267. Which is bigger: f or -332?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: -21 - 695.46\nAnswer: -716.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 234? (a) 4 (b) 3 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnx when three letters picked without replacement from xxxzwxzazzwnzawnbza.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6*b**3 + 0*b**3 - 3*b**4 + b - b**4 + 2*b**4 to the form i*b**2 + v*b**4 + a*b**3 + u + x*b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.862327 to two decimal places.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8592 - -11515. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63236, -125966, -188696?\nAnswer: -251426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 384 = -2*u. Let f be u\/9 - (-2)\/(-9). What is the highest common divisor of 98 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:56 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7215*r - 2. Let u(v) = 107*v. Give u(i(w)).\nAnswer: 772005*w - 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-206.71.\nAnswer: -206.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 546755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 16. Suppose -k + x = 2*k. Let t(z) = 0*z**2 + 4*z - 2*z**k - 3 + z**2. Calculate t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((-1 + sqrt(85)\/sqrt(5))*-5 - -6*((sqrt(1700)*1)**2 + sqrt(1700) - sqrt(1700))) + 5)*-1.\nAnswer: -20420 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0195513407 rounded to 5 decimal places?\nAnswer: -0.01955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/168 and 17\/102760?\nAnswer: 308280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1604 + -1401. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 176.8 and -0.233.\nAnswer: -41.1944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.044533 to 3 dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 61 + 6*p**2 - 7 + 6 - 8.\nAnswer: 6*p**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 383369, 383358, 383329, 383276, 383193, 383074, 382913?\nAnswer: 382704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4277 and -1.05.\nAnswer: 0.449085","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 34?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**3 - 3*b - 3. Let f be -6 - 138\/115*5\/(-2). Let x(r) = -11*r**3 - 7*r - 7. Let n be (-2)\/8 - 17\/(-4). Let u = n + 3. What is f*x(d) + u*c(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((0 - 1) + 0). Suppose -m + 5 = f*v - 5, 0 = -5*v + 3*m + 3. Suppose -15 = -v*y - 2*y. What is the highest common divisor of 9 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 250 by 2158946.\nAnswer: 125\/1079473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -88. Find the first derivative of -6 + b - 6 - r**2 wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**3 - 7*u**2 + 20. Let d(h) = 11*h**3 + 10*h**2 - 30. Let o(n) = 8*a(n) + 5*d(n). Is o(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 1 + b - 3*b - b. Let s be t(-1). Differentiate 4*g + 2*g - s*g + 0*g + 4 with respect to g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:44 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7377 is divided by 295.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -11102 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 8991257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/284 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x - 10. Calculate f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 350, 700, 1032, 1346, 1642, 1920?\n\"Answer: -9*z**2 + 377*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34819 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 28*k - 16. Let s be p(0). Put -3, -2, s, -5 in descending order.\nAnswer: -2, -3, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r + 2*r - 2*r + 2*r - 2*r + (1 + r - 1)*(-3 + 2 + 2).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5405 + 2730 - 4285 = -464*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 19821395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 3*s - 8*s)*(6 - 4 + 3)*(-2805 - 137*s**3 + 2805).\nAnswer: 4110*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -483*g**3 + 3*g**2 + 4*g + 3. List the prime factors of m(-2).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9dba (base 16) in base 10?\nAnswer: -40378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3802*b = 3723*b + 632 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*j - 52 = 0, -4*j = -w + 8 + 12. Let v = w - 0. Suppose 20 = -4*t, -2*d + 29 = -3*t + v. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2703405489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m - 1412. Suppose 9*z - m = 349. Is 26 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714*d = -v - 719*d - 53, 49 = 4*v - 5*d + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 10*m**2 - 21*m - 9. Determine l(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7366998\/13 + 564894. Let k = -1800 - m. Does k = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*o - 1386*o - 2143 = 40001 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7*l**(-1\/9)*(l**(1\/3)*l)**(-6\/11)*(((l*l**(-2\/19))\/l)\/(l\/(l*l**1*l*l)*l))**(1\/79) assuming l is positive.\nAnswer: l**(919174\/148599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28120 and 280?\nAnswer: 196840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -22202?\nAnswer: 100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(-4*-1*6*(3*sqrt(1331) + -1)*1)**2.\nAnswer: -138009600 + 760320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -5*k + 0 + 1\/120*k**5 + 1\/2*k**3 + 0*k**2 + 0*k**4. Let y(x) be the second derivative of i(x). What is y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 10*j**2 - 9*j + 12. Let r = 8560 + -7598. Calculate the lowest common multiple of q(-9) and r.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*c**2 + 3*c**3 + 21*c**4 - c**3 + 31*c**2 - 19*c**4 to the form o*c**2 + m*c**3 + r*c**4 + x*c + y and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {b: 10, f: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205 + 217. Suppose -9*q + 20 = q. Solve q*z + z = m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Let n(t) = -25*t**3 - 2*t**2 + 1. Let i be n(-1). Suppose -i = -5*l + 3*l. Solve -4*h - y = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2235103 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from qqqqkeeieqee?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32549 + -358037\/11. Let f = -0.4 + 0.47. What is the nearest to f in -4, -1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + (3\/(-245*27) - -6). Do 0 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1995 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 -2*y = -1 - 3. Let i be y\/6*0\/(8 + -2). Suppose 2*v - 20 = -4*h, -5 = -v - 3. Solve i = k - 3*k - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*m + 42 = 0, -2 + 4 = m. Suppose 7 = 2*v + 2*v + n, -3*v + 3*n = -h. Is 4 - v*(-5 - 12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 295*v - 14221 - 845999. What is the smallest common multiple of v and 189?\nAnswer: 20412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 52 = 116. Let p = u + 26. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.7 + -3?\nAnswer: 227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 5000*b**2 - 2725194*b + 2720196 = 0. What is b?\nAnswer: 1, 801, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5356 and 2476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**2 + 3 - 2*b - 5\/6*b**3. Let i(w) be the first derivative of h(w). What is the derivative of i(u) wrt u?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*g - 10, -15 = 2*g - 3*f + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 428727837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**4\/12 + 4*v**2. Let a = -21 + 18. Give m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-14) + (-22)\/(-143)*13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/819)\/(-2*4\/96*2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-648)\/6075*-135*-5?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20221 and 136284.\nAnswer: 9948732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-17)\/4165*120\/24\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.712 and -498.\nAnswer: -852.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-640)\/(-80))\/((-16)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/9 and 11\/2817.\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 396710424 a multiple of 3608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 7936 - 15872 = g - 7939, 5*a = -g + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from {r: 1, h: 3, n: 1, b: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 11) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67 - 0.29.\nAnswer: 66.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9 from -0.009.\nAnswer: 1.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*v + v + v)*(2*v**2 - 2*v**2 + 2*v**4) + 0*v + 5*v - v + 6*v**5.\nAnswer: -14*v**5 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/6 + l**3\/6 - 4*l + 5. Let t(w) be the first derivative of x(w). Find the second derivative of t(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 - 5*p**4 + 4*p**3 + 16*p**2 - 32*p + 16.\nAnswer: (p - 2)**3*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 709715.\nAnswer: 212914.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20530.\nAnswer: 2, 5, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbcxbxbx?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1463 - -1544. What is the smallest common multiple of 45 and w?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 37. Let o = 5 + -5. Suppose -u - u + y = o. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.06, -2\/5 in increasing order.\nAnswer: -2\/5, -1\/3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 3*c + 4. What is n(-6)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3942*t + 4478*t = -32160 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2*m*n + 8*l**2*m*o - 6*l**2 + l*m*o - n*o + 2*n wrt o.\nAnswer: 8*l**2*m + l*m - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1740537589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*j**2 - 11*j**2 + 3*j**2 + 14*j**2 + 32*j**4 wrt j.\nAnswer: 768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**2 + 103*c**2 - 23*c**2 - 26*c**2 - 39*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -1 (c) -0.16 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -3*r**5\/20 - r**4\/6 + r**3\/6 + r**2\/2 - r. Let v = -73 - -115. What is the remainder when v is divided by g(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Let m be g(1). Let q(f) be the second derivative of -f**3\/6 - f**2 + f. Let i be q(m). Sort 5, -0.3, i in ascending order.\nAnswer: -0.3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -217, -349, -501, -679, -889, -1137, -1429?\nAnswer: -1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 10. Let n(t) = -5*t - 9. What is 3*n(k) - 2*o(k)?\nAnswer: -5*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u + 3*u - 2*u**4 - 7*u + (2*u**2 + 7*u - 7*u)*(-2*u**2 - 3*u**2 + 2*u**2).\nAnswer: -8*u**4 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-5 - -11) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 11583185904.\nAnswer: 11583185899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*n**2 + 648*n**3 - 97*n**3 - 57*n**2.\nAnswer: 551*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 9. Let n be w(5). Let g = -6 - -14. Suppose 3*y - g = -y. Solve 4 = y*l - n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 6*u + 5. Let k be s(5). Suppose k*z = z - 399. Is (0 + -4)\/(-2) + z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281892, -281886, -281876, -281862, -281844, -281822?\nAnswer: -281796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5597 is divided by 63.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g - 9. Suppose 49 + 7 = 4*r. Suppose -807*l + 843*l - 720 = 0. Suppose 18*k + l = r*k. Let b(d) = -9*d - 6. What is k*y(p) + 7*b(p)?\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 4.\nAnswer: -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 35. Let m be p(15). Let n be (-150)\/45*(-9)\/m. Suppose -n*f + 81 = -3*f. What is the remainder when 103 is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**5\/15 + 4*r**2 + 12*r. Let k(t) be the first derivative of n(t). Let d(j) = 4*j. What is k(d(y))?\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 473.511130045.\nAnswer: 475.511130045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48 or 17142?\nAnswer: 17142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bblnbbnbblnan. Give prob of picking 3 n and 1 a.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l + 4613816 - 4613816.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1709 + -15.\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**5\/9 + 5084*o**4\/9 + 1612892*o**3\/9 - 1623068*o**2\/9 - 537632*o\/3 + 179776 = 0.\nAnswer: -636, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31199, -31195, -31187, -31175, -31159, -31139?\n\"Answer: 2*o**2 - 2*o - 31199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - -1.2. Let t = -375 + 375.3. Sort -2\/3, t, -3, m in descending order.\nAnswer: m, t, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.89 less than -6?\nAnswer: -13.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526794 = -37*l + 219182 - 3497. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10996 - 10993. Determine k, given that -4\/5 + 52\/5*k**2 + 0*k + 48\/5*k**d = 0.\nAnswer: -1, -1\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 1410*d**3 + 34400*d**2 - 289920*d + 819200 = 0 for d.\nAnswer: 8, 10, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlp when three letters picked without replacement from ottlnbpb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2. Let j(d) = 0*d**2 + 4*d - d - 2*d**2. Let b(m) = 2*m**2 - 2*m. Let l(r) = 3*b(r) + 2*j(r). What is l(c(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4386 is divided by 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*1 - (-8)\/2. Suppose -1 = 2*f - i. Solve t = -5*s + 28, 5 = -5*t - f*s + 8*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27117*h - 18364*h - 1480*h + 1 - 59761*h.\nAnswer: -106722*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-16)*(-250)\/(-175) + (-3)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6167 (base 9) to base 3\nAnswer: -20012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -31*g + 27*g + 14, 5*g = -2*u. What is the remainder when (-3 - -2)\/((-2)\/94) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*8\/252 - 238\/(-147)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -73 - (8 - 10)*-1*1. Let w be (3390\/t)\/(-1 - 4\/(-5)). Suppose 6*y = 4*u + 3*y - w, -3*y = -3*u + 171. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4259935.393 rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 3, -1266*h + 29 = 2*t - 4*t - 1271*h for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 2*z - 21, -2*z = 3*y + 81 - 62 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/264 and 1*30\/792*404\/(-40).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47\/4 of a millimeter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from xuxxu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 + 3*r**3 + 3*r - 4*r. Let i be g(-2). Let h(b) = b**3 - 9*b**2 - 9*b - 11. Let z be h(i). Put z, -2, 1 in decreasing order.\nAnswer: 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*m - 298 + 241. Put 4, 945, m in descending order.\nAnswer: 945, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 11 + -14 + 9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 25*k - 49. Does 16 divide p(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + n - 1. Let b(m) = 8*m**2 - 18*m + 6. Let z(f) = -b(f) - 10*k(f). Let r be z(-4). Solve r*x + 11 = j, -4*j - x - 7 = -0*x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*1*-6)**2*-3.\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 4\/(-114)*-628.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**2\/2 - k - 5. Let u be v(-3). Factor -25*y**3 - 4*y**4 + 19*y**3 + 0*y + u*y.\nAnswer: -2*y*(y + 1)**2*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 15*l - 4. Is n(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let l(c) be the second derivative of -9*c**4\/2 + 5*c**3 - 4*c. Let r(z) = -z**2 + z. Let b(j) = 2*l(j) - 60*r(j). Calculate k(b(f)).\nAnswer: -4608*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let x = 0.1 - b. Let g = -0.89 - -0.82. Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58.586055177 + 112.3.\nAnswer: 170.886055177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 2. Suppose 0 = n + w, -5*n - 16*w = -20*w. Let o(k) be the second derivative of 10*k - 1\/2*k**2 + 1\/6*k**3 + n. Give 2*o(c) + v(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3715 divided by 3?\nAnswer: -3715\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five halves of a century?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 585\/29 - 2253\/116. What is the smallest value in 12, u, 82?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*u - 22*u + 130*u + 1 - 65*u.\nAnswer: 239*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11*k**3 + 3*k**2 + 262*k + 519. Determine o(-2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = -16167 + 16907. Let x(k) = -3*k - 5. Calculate the remainder when f is divided by x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.46 + -42. Let o = s - -0.04. Let l = -7 - -4. Which is the second smallest value? (a) o (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 3. Let f be k(-3). Let u(c) = -2*c + 1 + 2 - 1 + c. What are the prime factors of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m + 0*m)*(25*m + 15*m - 51*m) + (-1 + 2*m + 1)*(-1 - 2*m + 1) - m**2 + 0*m**2 + 0*m**2 to v + z*m + k*m**2 and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 326 + 202. What is the first derivative of -j*g - 18*g - g + 9*g - 34*g - 95 wrt g?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2400 - 225?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvfxrrrtftfr. What is prob of sequence vf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -19*a + 15*a. Solve 0 = a*x - 0*x - 5*k - 3, 2*x + 4*k + 18 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -49. Let p(f) = -6*f. What is the least common multiple of y and p(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 7, -43.8, -27 in descending order.\nAnswer: 7, 2, -3, -27, -43.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21459*n**4*s - 3*n**4 - 409*n**3*s - n**2*s + 3*n**2 + 23*n*s + 232*n + s + 179 wrt n?\nAnswer: -515016*n*s - 72*n - 2454*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + ((-15)\/(-5) - -27250) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54945 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(-3*(2*sqrt(108) + sqrt(108)))**2)*-6.\nAnswer: 157458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 12*j**2 + 28*j + 4. Let h be 40\/(-3) + (-10)\/15. Let f be d(h). Solve 0 + 3\/2*b**f + 0*b + 1\/2*b**5 + 1\/2*b**2 + 3\/2*b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 3:12 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 27 = t, 4*p - 7 - 66 = -3*t. Solve 4*f + 10 - p = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y - 2*y. Let t be 57\/5 - (-30)\/50. List the prime factors of -3 - (-2 - (y*t + -1)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 3*f - 2 + 0*f + (-1 - 2*f + 1)*(4 - 3 + 0) - 4*f + 6*f - 3*f + (-3 - 3 + 4)*(0 + 0 - 2*f) - 5*f + 2*f + 2*f + 2 - 2 - f + 5*f - 4*f + 0*f.\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*k - 2 + 2 - 57*k.\nAnswer: -113*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 227727779 to the power of 1\/3, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 11*o**2 - 11*o**2.\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 12 = -u, 0*u - 3*u = -4*x + 27 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -399537.13 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -992 + 1409. Suppose -5*s = -n + 72. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**3 + 7*i**2 + 3*i - 11. Let f(y) = y**3 - y**2 + 2. Let t(j) = 4*f(j) + x(j). Calculate t(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 481 (b) 2\/17 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1338405*k**4 - 71819*k**2 + 5*k?\nAnswer: 32121720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2292*i - 511. What is the tens digit of x(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(891) + (sqrt(891) - ((sqrt(891) + -2)**2 + 1)) + sqrt(891)) - (0 + sqrt(11)*1 + (sqrt(132)\/sqrt(3) - sqrt(44))**2)*6).\nAnswer: -5376 + 414*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/3)\/(q\/(q*q*q**(-2)\/q)))\/((q\/(q*q**(-1\/3)))\/q*q\/(q**(-7)\/q)))**(-10) assuming q is positive.\nAnswer: q**(350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 0) + 46 + -24 + -20?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -10. Let g be ((-1)\/i)\/((-3)\/(-27)). Suppose 0*u - u = o + 2, -5*u - 12 = g*o. Solve -2 = -3*x + o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - -1 - (11 - 11). Let x(a) be the second derivative of 0*a**4 + 0 - 1\/20*a**5 + 0*a**3 + f*a - a**2. Differentiate x(u) with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 7*c**5\/180 + c**4\/36 - 43*c**2. Determine x, given that y(x) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1609807, -1609847, -1609905, -1609987, -1610099, -1610247?\nAnswer: -1610437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let d(m) = 66*m**2. Determine d(h(z)).\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**2)\/(o*o**1))\/(o**(-9)\/(o*o\/o**(-3\/7)*o)) assuming o is positive.\nAnswer: o**(66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 - (0 + -15 - (2 - 28)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24229108 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 88.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2900, 3451, 1666, -2449, -8888, -17645, -28714?\n\"Answer: i**3 - 1174*i**2 + 4066*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 626 - 1133. Find the common denominator of n\/90 - (-2 - -2) and 27548\/3408*3\/(-2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 10*l**2 - 6*l - 15. What is o(8)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7254*c + 10 = 7255*c. Let q be (55\/3)\/1*6. What is the highest common divisor of c and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a - 5*a**3 + 6*a - 15*a.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15809, -17570, -19339, -21116, -22901, -24694?\n\"Answer: -4*z**2 - 1749*z - 14056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -100001100101 (base 3) to base 11\nAnswer: -111916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71216.\nAnswer: 2, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 5*i**2 - 5*i + 10. Determine b(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000081365 rounded to six dps?\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5806237*o*y**3 - 31*o*y**2 - o*y + o + 2*y**2 - 21892*y wrt y.\nAnswer: 34837422*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 60 + 0*f - 8 + 8*f - 3*f - 3*f**2 + 2*f**4. What is the first derivative of p(y) wrt y?\nAnswer: 24*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/3808 and ((-5)\/((-25)\/(-97)))\/(864\/135)?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-45) + -1 - 12\/(-90). Put 2\/7, 17, u, 1\/4 in increasing order.\nAnswer: u, 1\/4, 2\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnt when three letters picked without replacement from {n: 3, g: 4, t: 7, e: 5}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881384?\nAnswer: 2, 7, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2611536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 12:22 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 481 + -3371\/7. Put -5, 158, b in descending order.\nAnswer: 158, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 8. Let y be s(-7). Let k be 0 - (1 - y - 2). Suppose 0*t = t + 5*g + 6, k = -3*t + g + 14. Solve 0 = -t*b + 9 + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-35) - (-2720)\/238.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4 - 867*v**2 - 1088*v**2 + 181*v - 1241*v**2 wrt v.\nAnswer: -6392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-3)\/90*(-66)\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = -5*u + 5*b, -u = -5*b - 3. Suppose 3*p - f + 2 = p, -15 = -u*p - 3*f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145 - 127. Suppose q - 16 = 5*q, 3*j - 3*q = i. Suppose j*g = 75 + 39. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 2*l**3 - l**3)*(4 - 4 - l**2) + l + 2*l**5 - l + (3*l**2 - 3*l**2 - l**4)*(0 + 0 + l) + 9*l**5 + 8*l**5 - l**5.\nAnswer: 16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -1\/3 (c) -5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10203 is divided by 72.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -10 (b) -0.03 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1468*u - 5494 - 9186 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 3*d + 4. Let q be a(-3). Suppose 4*b - 68 = 4*n, 5*b = -0*b + q*n + 87. Let i(m) = -m**3 + 20*m**2 - 12*m - 4. Is i(b) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {m: 6, o: 3, c: 1, t: 4, k: 2, p: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 1161432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002118936325 rounded to seven dps?\nAnswer: 0.0000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353 - -358. Solve -2*b = 3*b + 3*f - 14, -o*b + 3*f + 26 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -317*b**5*o + 11*b**3*o - 7*b**3 + 1499*b**2*o + 4*b**2 + 19*b + 2*o wrt b.\nAnswer: -19020*b**2*o + 66*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4537\/4842 + -2\/269. Let o = s - -461\/450. Is o less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = o + 2*g, -2*o - 4*g = -10. Let v be -566 + 8\/(-2) - (-3 - o). Let n = v + 950. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -42*d + 72. Let v be p(-9). Suppose -v*y + 125 = -445*y. Solve -3*j = 15, 2*o + 0*o + 3*j + y = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 301 + 196 - 1976*k**2 + 561*k - 497 wrt k.\nAnswer: -3952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 72566880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(700)*3)\/(1*sqrt(64)).\nAnswer: -45*sqrt(7)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 2. Let u be a(4). List the prime factors of 1*(-2)\/u - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477972 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((-33)\/(-660))*(-2736)\/(-285)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.033?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -234960?\nAnswer: -234963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.43304 centimeters in micrometers?\nAnswer: 874330.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.27, -1, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*s + 30 = 288*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/9))\/(r*r**(-1\/14)*r) assuming r is positive.\nAnswer: r**(-131\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844495827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 6. Let z be l(-4). Solve 3*b = -2*b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 + -3. Let h be (-165)\/(-44) - (-100)\/400. Let f = 0.8 - 3.8. Which is the fourth biggest value? (a) h (b) f (c) w (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-9 + 5 + 0) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322 - -322.4. Which is the closest to 1\/3? (a) -0.05 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/9 - 86*n**2\/9 + 700*n\/9 = 0.\nAnswer: -50, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11406 or -0.1?\nAnswer: -11406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 1\/280*k**6 - 3\/7*k**3 - 3\/70*k**5 - 2*k**2 - 23*k + 0 + 11\/56*k**4. Factor p(d).\nAnswer: 3*(d - 3)*(d - 2)*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2 + sqrt(72))*-5 - (-1*sqrt(128) - sqrt(128))*-6)**2.\nAnswer: 10080*sqrt(2) + 127408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 8*l - 5. Let b be j(-10). Suppose 4*q - 4*c - 14 = 10, -2*q = -3*c - b. Solve -q*i = 5*v - 7, 5*i + 2*v + 0*v = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 30320.\nAnswer: 30320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3 + 6347315*i**2 - 25389276*i = 0?\nAnswer: -6347319, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2 (b) -0.32 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -35*g**3\/6 - 7*g**2 - 9*g. What are the prime factors of k(-3)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13749 is divided by 344.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 14. Is o(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.991 - 65.991. Let v = 37.6 + 27.3. Let t = v + i. What is the closest to t in -7, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 7*z + 7446000 = 0. What is z rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(5 + 6*o**4 - 5).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3105957?\nAnswer: 3, 311, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-330)\/(-1245))*(-627)\/(-57)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 71*s + 93. Let l be f(17). Round l to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 10)*(-1)\/7. Let z(s) = -s**3 - 6*s**2 - s - 3. Let r be z(-6). Let q = 0 - r. Which is the third biggest value? (a) -3\/8 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 13*l**2 - 171*l + 675. What is t(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 217 = 13*t. Suppose 7*a - t = 32. Solve -4*k + a = 25 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5880)\/(-6615) + 434\/18?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 287\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2416 = 59*q - 75517. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 - 4*g**2 + g - 2. Let m(n) = 398*n**3 - 40*n**2 + 8*n - 18. What is 10*l(a) - m(a)?\nAnswer: -428*a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86447 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*l - 2, -6*v + 3*l = -10*v + 37. Solve -123*j + x = -121*j + 5, -v*j = -x + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6520 and 369358.\nAnswer: 7387160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - -16 - 6 - 66?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124066404 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129262.\nAnswer: 2, 3, 354877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1320, 1888, 1706, 774, -908?\nAnswer: -3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.41 and -64282.509.\nAnswer: -64283.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + -3*sqrt(270))*5)\/(sqrt(250)*-2).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57.3 and 7.2.\nAnswer: -412.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 20615 = -4*n, 0 = -n - 14*g + 18*g + 5138. List the prime factors of n.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 105, 700, 2015, 4302, 7813, 12800, 19515?\n\"Answer: 42*y**3 + 108*y**2 - 23*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 3. Let l be 5\/5 + (-1 - 2). What is the remainder when u is divided by l - 6*2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13278*p - 4939418. Calculate g(-372).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 + 314.917. Which is greater: 0.4 or x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -66*k**2. Let d(i) = -54*i**2 + 11*i + 11. Let v(u) = 5*u**2 - u - 1. Let w(f) = 2*d(f) + 22*v(f). Determine w(y(z)).\nAnswer: 8712*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 48. Let g = -21 - q. Solve -o + f = -g*o + 10, -o - 2*f = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrreixirfee. Give prob of picking 1 f, 1 x, and 1 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-6 - (-22 + 15)) + 1 + 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -24756*c - 1262543. Give b(-51).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 82.18. Let o = i - -0.18. Which is the nearest to -1\/4? (a) -0.4 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 3*c**2 + 2*c - 1. List the prime factors of l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/4 + 1551*x**4\/4 - 7809*x**3\/4 + 10953*x**2\/4 - 2349*x\/2 = 0. Calculate x.\nAnswer: -522, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 + 356010*j - 16*j**3 - 356010*j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1496 divide 37281816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359414?\nAnswer: 2, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-5 - -1 - -2) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {h: 3, n: 5, r: 1, q: 3, g: 1, k: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 76*r**2. Let p(o) be the second derivative of -5*o**4\/12 + 440*o. What is q(p(z))?\nAnswer: 1900*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13363, -27042, -40715, -54382?\nAnswer: -68043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + -1 + -1 - -5. What is the greatest common divisor of 99 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 + -74. Suppose -5*n - b - 109 = 5*u, 5*u = 3*n + 99. Is (-176)\/(-10)*(-7)\/n*30 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -4403330?\nAnswer: -4403314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*h**3*v + 7*h**3 - 9*h**2*v + 2*h**2 + 123*h*v + 2*v + 2705 wrt v.\nAnswer: -11*h**3 - 9*h**2 + 123*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (482 - 690*s**2 + 693*s**2 - 6)*(3*s - 2*s + s) in the form h*s + c*s**3 + x*s**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76.3 - -76. Let y = -8 - -7.9. Let j = 6.6 - 7. Which is the closest to y? (a) j (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6623444551?\nAnswer: 1811, 3657341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 18 = -60. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 5*v + 11. Let u be p(-6). Let r = 4 - 2. What is the nearest to 0.1 in 1, r, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2 + 1)**2 + ((sqrt(171) + (1 + sqrt(171) - sqrt(171)))**2 - sqrt(19)) + 1.\nAnswer: 17*sqrt(19) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + r)*(-1 + 20 - 9)*(-r**4 + r**4 + r**4).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 2 + (-67 - -84)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -335449.32 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 9:43 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 34*v - 5. Let j(q) = -35*q + 6. Determine -4*j(w) - 5*k(w).\nAnswer: -30*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.5444317 rounded to one dp?\nAnswer: 204.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/34470 and -67\/592884.\nAnswer: 2964420","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 13.\nAnswer: -74\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2. Let r(w) = -4*w**2 + w + 6. Let q(d) = -8*d**2 + 2*d + 13. Let y(a) = 6*q(a) - 13*r(a). What is y(t(p))?\nAnswer: 16*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awaavwdav. What is prob of picking 1 a, 1 v, and 1 w?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 6, -7, -26?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 - 91. Suppose -64 = -3*v + z - 0*z, 2*z - w = -4*v. Let u = 36 - v. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-3 + (-1 - -2) + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*h - 12 = -172*h. What is the tens digit of 2 - (6 + (8 - h))*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 4*m - 8. Let h be u(-2). Which is greater: h or -26?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**5\/60 + 5*m**3\/6 - 3*m**2\/2 - 2. Let w(n) be the second derivative of f(n). Differentiate w(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -18*x**4 + 705*x**3 + 609*x**2 - 354*x - 240 = 0.\nAnswer: -1, -1\/2, 2\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/(-56) + 1\/(-4). Let p be (-16)\/(-2)*3\/(-54). Which is the third biggest value? (a) v (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + 22\/4. Let z be 187\/44 + f\/8. Suppose 4*c - 191 = -2*g + 29, z*c = -g + 125. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-4 - -1)*1. Suppose 4*q = -q. Suppose -g - 42 = 5*t - 17, 3*g = q. Sort t, 5, b.\nAnswer: t, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**7\/42 + k**4\/2 - 5*k**3 + 12*k + 2. Find the second derivative of x(f) wrt f.\nAnswer: 20*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 6*i**2 + 3*i + 1. Suppose 3*x = r + 17, -11 = -x - 0*r - 5*r. Let g be v(x). Let b = g - 9. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*h - 2*h + 22 = 0, 3*t - 16 = -2*h. Suppose 0*k = -2*k - t. Which is the biggest value? (a) k (b) 0.7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3690122 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 - 2*b - 2. Suppose -3*i + 13 - 10 = 0. Let u(o) = -o**2 + o - 1. Let d(c) = -c**2 - 1. Let g(a) = -2*d(a) + u(a). Give i*x(f) + 2*g(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191866545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 14*i + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 - 10*n**2 - 9*n - 6. Let z(v) = 4*v**3 + 10*v**2 + 9*v + 7. Let o(c) = 3*f(c) + 2*z(c). Give o(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 930 - 101947?\nAnswer: -101017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3. Let t(m) = 4*m**4 + 2*m**3 + 2. Let f(k) = t(k) - 2*x(k). Differentiate f(d) wrt d.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8bb - 1671?\nAnswer: -2370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 322*a + 8131. What is b(-25)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9 + 3*g + 29 - 12. Let x(r) = r**3 - 5*r**2 - 2*r + 6. Let z be x(2). What is d(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 440 + 452 = -3*q, 6*q = -5*c - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h**(10\/11)\/h))\/h**(-11))\/(h*h*h**(1\/6)*h*h*h*h*h**31) assuming h is positive.\nAnswer: h**(-1655\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1092663 - -1092666. Suppose 0 = 3*z + 35 - 308. What is the fourth biggest value in -3, -2\/3, z, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380535 is divided by 40.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**6\/900 - j**5\/150 + j**4\/60 + 13*j**3\/3 - 1. Let g(u) be the third derivative of t(u). Factor g(l).\nAnswer: 2*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 39*c + 1. Let m(o) = 36*o + 1. What is -6*m(y) + 5*s(y)?\nAnswer: -21*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/152810 and 41\/350.\nAnswer: 764050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*z - 35, z + z = 4*s - 10. Let d be (59 - -1)*(-8)\/2. Is 11 a factor of d\/9*(-6)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1268660*x + 13597191?\nAnswer: 1268660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by -3.\nAnswer: 160\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 186795860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 = 12, -4*j = -5*w + 44. Is j\/(6\/(-7)) + 1390 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5 - (7 + (-19)\/((-209)\/(-66)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 0*d + 0*d)*(0 - 3 + 4)*(-1 + 3 - 3 - 1 + 1 - 1 + (0 + 2 - 3)*(0 + 0 + 1) - 1 + 1 - 1 - 4 + 0 + 3 + 3 - 4 + 2) to the form p*d + s and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 199, 803, 1803, 3193, 4967?\n\"Answer: -u**3 + 204*u**2 - u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 98*f**2 + f + 2*f.\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*h**3 - 25*h**3 + 9*h**3)*(3*h + 0*h + 7*h) to i + v*h**2 + o*h**4 + c*h + j*h**3 and give o.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f - 2*f + 4*f - 5*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5454, 1063, -4.\nAnswer: -4, 1063, 5454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) + 0 + sqrt(18) + (1 + sqrt(18) - (sqrt(18) + -2)))**2.\nAnswer: 144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/7 (b) -0.1 (c) -0.26548651\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2367547 (base 9) to base 4\nAnswer: -10321231102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = x - 4*x, -23 = -3*h + 4*x. Suppose -h*p = 27*p - 7872. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -18. Suppose 0 = 5*q + 3*m - 325, s*q - 5*m - 161 = -3*q. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5\/3, -3\/8, -213?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6798, -27184, -61166, -108750, -169942, -244748, -333174, -435226?\nAnswer: -550910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13717 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 + -9 + 6 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016167 rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -11*t + 134. Let j = t + -5. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 8*r**2 - r - 2. Let t be k(-8). Let o = t + -4. Find the third derivative of -2*c**4 + 2*c**2 - o*c**4 + c**2 + 0*c**4 wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 3 + (-9 - (4 - 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/7 + 0 + 1*(-2 + 1). What is the fourth biggest value in -203, 0.1, 0.3, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 q when three letters picked without replacement from {o: 3, q: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.2288 grams?\nAnswer: 7228.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s - s**3 + 2*s**3 + 12*s**2 + s**2 - 7*s**2. Let v(a) = -a**3 - 11*a**2 + a + 6. Let g be v(-11). What is m(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 23.585156234 and 0.0716.\nAnswer: 23.656756234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 2*t - 7. Determine b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/246 and -56\/205.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(153))**2 + 3 + 2*sqrt(153)*-2)*-4*-2.\nAnswer: -96*sqrt(17) + 19608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2460)\/(-18))\/((-320)\/(-96))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.553755 hours in milliseconds?\nAnswer: 1993518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 47\/(((-6)\/7)\/6). Let m = -135 - q. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -627535*x. Let w(b) = 24*b**2. Calculate w(c(r)).\nAnswer: 9451204229400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(-9\/7))**(-1\/2)\/((y**(-1))**22)**(-27) assuming y is positive.\nAnswer: y**(-8307\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5) + (-2492)\/(-4005)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(4\/3)\/((j\/j**5)\/(j\/j**(3\/10)))*(j**(4\/7)\/(j\/j**(2\/17)))\/((j**3\/j)\/j**(-6\/5)) assuming j is positive.\nAnswer: j**(1801\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 18 + 3 = 0. Suppose -5*i + 1 = -4*k - l, 3*i - 2*k = 6. Let g(r) = -r**2 + 3*r + 3. What is g(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**(-17)\/(a\/(a\/(a*a\/a**(-1\/7)*a*a))*a**5))\/((a**0)**(-3))**10 assuming a is positive.\nAnswer: a**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2335*t + 8979 = 35688 + 19991 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/27)\/(((-14784)\/72)\/28).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0372 + -0.04619. What is c rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 14 (c) 3 (d) -0.5 (e) -138 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (23 - 2)*(-1206)\/1407?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2768103354.\nAnswer: 2, 3, 59, 7819501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3 - 2*i - 9. Let f(p) be the first derivative of p**3\/3 - p**2\/2 + p + 5. Calculate -f(b) - q(b).\nAnswer: 2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35297 is divided by 688.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4401 rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-3) + -3)*(53 + 4). What is the third biggest value in n, 0.5, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12888737 and 165665?\nAnswer: 64443685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631*w + 593*w = -342. Calculate the lowest common multiple of w and 271.\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 146895.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 113401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**4\/4 + a**3\/3 - a**2\/2 - a + 174. Let k(v) = 4*v**2 - v + 0*v + 1 - 2*v**2 - v**2. What is k(n) + p(n)?\nAnswer: n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17638 (base 14) in base 7?\nAnswer: 333401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 18722\/20 + -15 + 2235\/150.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544120 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)*t**(-5))\/(t**(-4\/9)\/(t\/t**(-4))))**18 assuming t is positive.\nAnswer: t**(-118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 62 = 2*a, -70*a + 66*a + 126 = 3*h. Let q(u) = -u**3 + 35*u**2 - 38*u + 23. What is the hundreds digit of q(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*u**3 - 51*c*u**2 + 4093708*c + 67*u**3 - 28*u**2 + 6*u wrt u.\nAnswer: 12*c*u - 102*c + 402*u - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-1 + 2 - 63\/(-15)). Which is the closest to 0? (a) u (b) 0.05 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 103 = -2*f, 636*f = 639*f + y + 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j - 35. Let n be t(7). Suppose 2*w + 18 - 344 = n. What are the prime factors of w?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6973)\/532 + 13 + 1\/(3 + 1). Is s bigger than -937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 41*u - 1061. Let w be p(26). Let s = 106 + -322\/3. What is the nearest to -8 in w, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i + 10. Let d be u(-2). Suppose 113 = 2*z - 3*s - d, 0 = -3*s + 3. What is the highest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 40*c - 10. Let a be h(2). Let o = a - 208\/3. Is o at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8017\/6, -33, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*b**3*p**3*q**3 - 2*b**3*p**3*q - 5*b**2*p**3*q**3 - b**2*p**3 + 3*p**3*q**3 wrt b?\nAnswer: -120*p**3*q**3 - 12*p**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6182 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/40 and -73\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 78*m**2 - 23*m - 5. Let b be u(-19). Suppose g - b = -29*g. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*n + 1 = 61, -3*a + 87 = -5*n. What is the smallest common multiple of a and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (10 - (11 + 2))) + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32462 or 97384\/3?\nAnswer: 97384\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(2 - 1)\/(-5). Let r = 1 + 1. Let h = 1 + r. What is the third biggest value in t, 4, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + -4.93. Let a(j) = j**3 + 4*j**2 - 7*j - 10. Let o be a(-5). What is the second biggest value in k, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 26 = 9*a. Suppose 14 = -4*i + a. Determine v, given that v**2 - 1\/2*v + 0 - 1\/2*v**i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 4 - -4 - 51\/10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*o + 52 + 54, 5*o + 97 = -3*n. Let g = -12 - n. Let w(i) = -6*i + 41. What is the remainder when g is divided by w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/((-15)\/(300\/(-470)))\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16892 and 1854?\nAnswer: 152028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552.7782 milligrams in tonnes?\nAnswer: 0.0000005527782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 3 - 6)*(-4*r - r + 0*r)*(-5*r**2 + 3*r**3 + 5*r**2)*(1 - 1 + 6).\nAnswer: 1260*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*h**4 + 287*h**3 + 7*h**2 + 13481*h wrt h.\nAnswer: 1584*h + 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eggd when four letters picked without replacement from edeeedgdedgesggedge?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 7 - 18. Let c = -3 + b. Solve 15 = -5*j - d, -3*j + 8*j - c*d = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4240002*p - 4 - 4 - 4240002*p - 266*p**2 + 8.\nAnswer: -266*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1030*b**2 + 512*b**2 - 2*b**3 + 478*b**2.\nAnswer: -2*b**3 - 40*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/690*-3)\/(32\/(-1360)*-17).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -8 + 1 - (-1 - 2 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (2 + (-3 - -4)). Suppose -12 = -a - t*a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqeyqqqyllqllelqql. Give prob of sequence yqqy.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 - 0 - (150 + -150).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mawwwmfgmfj. What is prob of sequence amf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -36151?\nAnswer: -5\/36151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -130314.\nAnswer: 26062.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -28*x**3 + x**2 + 3. Let h be c(-2). What is the highest common factor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123123 and 66?\nAnswer: 246246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - (-105)\/28. Suppose -j = -4*j - 5*r + 70, y*j = -2*r + 84. Calculate the smallest common multiple of j and 24\/(-9)*(-18)\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -31*w + 394. What is the remainder when r(-11) is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 8*i - 154. Let v(r) = -r - 9. Calculate v(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7*k - 5*t + 725, 0 = 4*k - 5*t - 598. What is the highest common divisor of k and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 574119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -216*p - 32. Calculate b(4).\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.2, 15, 12, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011111 (base 2) in base 6?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110670 and 1482978.\nAnswer: 7414890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 63. What is the smallest common multiple of d and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36562 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q + 219600000. What is q rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 2. What is a(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 5*z**4\/12 + z**3\/3 - 2*z**2. What are the prime factors of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2327\/780 - (-4)\/(-10) and 107\/270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Let i(y) = 4*y**3 - 2*y**2 + 3*y**2 - 2*y**2 + z. Let l(w) = w**2 + 6*w + 6. Let c be l(-5). What is i(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11*f - 1 + 21 - 8 + 1. Let m(r) be the third derivative of -r**2 + 0*r + 5\/24*r**4 - r**3 + 0. Determine 4*h(q) + 9*m(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyywwwwwwwy. What is prob of picking 3 w and 1 y?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212970 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: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {f: 1, b: 1, p: 2, w: 2, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 - -106. Suppose 0 = -3*a - 0*a + y. Suppose -2*r = -0*r - a. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.604 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*s**4 + 2*s - 3*s - 102*s**4 + s**2 to r + n*s**3 + f*s**4 + a*s**2 + g*s and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 10. Let c be h(6). Let k = 97.7 - 97. Put -2, k, c in ascending order.\nAnswer: -2, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 11*y**2 - 13*y - 4. Calculate s(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, f: 2}. What is prob of picking 2 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15314810 or -15314852?\nAnswer: -15314852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 95*z - 41*z - 44*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.19 - -5.19. Let s = -1.99 - -2. Let g = s + 0.39. What is the smallest value in -0.2, g, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uummuumuuuuuuu. Give prob of sequence umu.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*a - 9 = 0, -2*l = -9*a + 4*a - 21. Let s = -30 - -31. Let n = 1 + s. Put l, n, 0.3 in descending order.\nAnswer: l, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*v**3*x**3 - 2866034*v**3*x**2 + 539*v**3 - 69*v**2 - v - 11 wrt x?\nAnswer: -30*v**3*x**2 - 5732068*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2068 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -1270, -4309, -10228, -19987, -34546, -54865, -81904?\nAnswer: -116623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-106)\/22 + 14\/(-77). What are the prime factors of 4 + f + 13 - -2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q - 132 = 0. Suppose t + 3*t = 3*r + 8, 0 = 2*r + 5*t - q. Let n be (1\/(-2))\/(5\/(-6)). Put n, 5, r in decreasing order.\nAnswer: 5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18179 and 2968?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-80)*(5\/(-7))\/((-1490)\/4172)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, 0, 35, -3\/10.\nAnswer: -3\/10, -0.1, 0, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssdssd.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, 1\/3, -0.06, 15, -31 in increasing order.\nAnswer: -31, -0.06, 0.041, 1\/3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1800)\/6375 + 4\/10.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3814281 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4*l*l\/(l\/(l**(3\/2)\/l)*l))\/(((l*(l**(-5)\/l)\/l)\/l)\/l**(-2\/9)))**(3\/4) assuming l is positive.\nAnswer: l**(203\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5987720 is divided by 84?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8 + (-1910215)\/(-244) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 10*h + 6*h)*(-2*h + h + 3*h)*(h + 0*h + h) + h**3 + h**2 - h**2 + (-4*h**2 + 4*h**2 - 5*h**2)*(-2*h + 5*h - h) - 2*h**3 + 0*h**3 + h**3.\nAnswer: 54*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.910157 + 16548.2?\nAnswer: 16591.110157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 3?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174 + 202. Let y = -371 + t. What is the fourth smallest value in 1\/3, 0, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6\/11)*m*m**11\/m*m**2*m**(3\/7) assuming m is positive.\nAnswer: m**(992\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-2 + -3)*139. What is the units digit of ((2 + -1)*1)\/(5\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -8*z. Let t(i) be the second derivative of -i**3\/3 + 6*i. Determine t(m(k)).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*x - 100 + 73*x + 100.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -16. Suppose z = 3*g - 3. Solve 6 + g = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*j**4 + 4*j**3 + 498*j**4 - 4*j**3 + 1016*j**4)*(-1 + j + 1).\nAnswer: 1548*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 + 1560*i**2\/7.\nAnswer: 2*i**2*(i + 780)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2 + 27*u - 45. Let f(z) = z**2 - 9*z + 15. Let d(g) = 7*f(g) + 2*w(g). Let v be d(7). Let a = -3 + 5. What is the closest to 0 in a, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, h: 1, b: 9}. What is prob of sequence bjhj?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118052451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Suppose -q*r = -3*b - 2 + 32, 4*b - 23 = r. Suppose 4*g - 2*g + 2*j = 32, b*j - 59 = -4*g. What is the greatest common factor of 21 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 8:12 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 11. Let o = 5 - u. Let t be ((-1848)\/91)\/(-2) + -10. Sort t, -2, 5, o in ascending order.\nAnswer: o, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154093 (base 10) to base 13.\nAnswer: -551a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 21*t + 16. What is the least common multiple of h(-10) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 10. Let v = k - -25. Let d = 0.0107 + 0.3893. Sort d, -0.3, v in decreasing order.\nAnswer: v, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.875\nAnswer: -2.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 14 + 2*o - 10*o. Suppose 10*y + 3*d = 7*y + 18, -y + 3*d + 14 = 0. Let u(a) = 4*a + 9. Give y*u(f) + 5*x(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*t - 44*t**2 + 95*t**2 + 11 + 154*t - 50*t**2.\nAnswer: t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5))**(7\/5) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -67*p**3\/3 - p**2 - 3*p + 8. Find the second derivative of v(z) wrt z.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8258.762423 + 12551.76447. Let n = y + -4293. What is n rounded to four decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-2))\/(((-816)\/51)\/(-128)*32\/8)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 9 + 24 = 0. Let v be ((-12)\/(-15))\/(2\/20). What is the units digit of 60\/v*2\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 3, z: 3, i: 6}. What is prob of picking 3 z?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 6*t + 3. Suppose -7 = -o - 4. Suppose o*m = -m - 80. Let b = 15 + m. Calculate d(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147454*j = 147038*j + 44512 for j.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 6*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 34490, 1?\nAnswer: 34490","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((9\/90)\/((-6)\/12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {l: 1, s: 10, e: 1, k: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 divided by 39?\nAnswer: -295\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*k + 21*k + 21*k in the form z + j*k and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -19, -12, -5, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 - (-92 - -78) - -35?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18653821?\nAnswer: 18653821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 209770 and 230747.\nAnswer: 2307470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**5\/7 + 2*f**4 + 30*f**3\/7 + 2*f**2\/7 - 10*f\/7 = 0.\nAnswer: -1, 0, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/((s*s*s**5*s)\/s)*s*s)\/s)\/(s*s**(-1)))**46 assuming s is positive.\nAnswer: s**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -132020\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x - 5. Let c(r) = -r**2 - r - 6. Let w(u) = -5*c(u) + 6*j(u). Suppose 0 = 2*l - 13 + 15. Give w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 45 = -1347. Calculate the remainder when d is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 812.85 and -154.7?\nAnswer: -125747.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 81 + 103. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -476153 (base 8) to base 3\nAnswer: -22021111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**2 + b + 5. Calculate r(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714403522?\nAnswer: 2, 7, 131, 389533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3639679?\nAnswer: 31, 137, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 383.275 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1180596 - -7114391\/6. Suppose 2*p = 2*w - 4506 + 14748, -2*p + 10239 = -w. Let l = p - q. What is the common denominator of l and 91\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104241 is divided by 1253?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 4)*(-4*d + 0*d + 3*d)*(-3 - 3 + 8)*((-3 - 2 - 1)*(2*d - 1 + 1) - 3*d - 6*d + 6*d) to z*d + r + n*d**2 and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -10144 at least -10144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 508 + -495. Solve 2*k - 4*k + 3*b = a, 24 = 4*k + 4*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -705 + 706. Let b(m) = -9*m**3 - m**2 - m + 2. Give b(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n + 9. Let v(o) = 3*o - 5. Give -3*a(k) - 5*v(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 14*l. Let d(i) = -31*i**2 - 11*i. Let m(b) = 16*b**2 + 6*b. Let z(a) = -7*a + 57. Let j be z(9). Let u(n) = j*d(n) - 11*m(n). Give u(q(p)).\nAnswer: 1960*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 75. Let p = i - 30.98. Let s = -0.980097 - p. What is s rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.5 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2197*l**2. Let s(r) = -7*r. Give b(s(z)).\nAnswer: -107653*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + -4 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 67*w**8\/168 + w**4\/2 - 18*w**2 + 2*w. What is the second derivative of o(k) wrt k?\nAnswer: 2680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -980 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 - h**2 - h - 2. Let z(q) = 2*q**3 + 3*q**2 - q - 2. Let k be z(2). Let u = -13 + k. Calculate the remainder when a(2) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 112\/110 - 1 - (-1)\/(-5). Let b be 2930\/(-150) - (-4)\/(-30). Let f = -19 - b. Sort y, -0.5, -2\/3, f.\nAnswer: -2\/3, -0.5, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 17849496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 0 + 4 + 1007 + -1102?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*a - 54. Let z(f) = -71 - 21*f + 47*f - a*f. Let j be z(-16). Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -1\/40, -2\/9 in descending order.\nAnswer: 7, 1, -1\/40, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 509, 537, 563, 587, 609, 629, 647?\n\"Answer: -y**2 + 31*y + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f - 37419551 = -94*f - 13295553. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -3, 0.1, -940 in increasing order.\nAnswer: -940, -3, 0.1, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**2 - 4064*z - 141120 = 0.\nAnswer: -980, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1320425488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1274, -1277, -1282, -1289, -1298, -1309?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1492*j + 246146. What is v(-165)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bybl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8 - 8*f + 175*f**2 - 173*f**2 + 19*f. Let y be g(-4). Let a be (y - 2*-4) + -3. Let b(s) = -7*s**3 + s**2 - 2*s + 1. Determine b(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0. Let k = -0.15 + -5.85. Let w = -11 - k. What is the third biggest value in 0.5, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305196 and 73892.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 103)*(1 + (-3)\/2) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 821660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -62160 divided by -60\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1043 + -585. Let q = 488 - r. What is the least common multiple of 6 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -1 + (45 - -41 - 92) - -56.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 341, 1, 68 in descending order.\nAnswer: 341, 68, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-15)*(9230\/(-312))\/71?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxxvxnvvxxx. What is prob of sequence xxx?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1243130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -10, -2, 9 in descending order.\nAnswer: 9, -2, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -42123 (base 7) to base 13\nAnswer: -4938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686852426?\nAnswer: 2, 13, 191, 138311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcju when four letters picked without replacement from {u: 1, n: 1, f: 3, g: 2, c: 1, j: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4398 = -2*v + 4*f, 5*v + 4*f = 7341 + 3724. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y - 21 + 5 + 3 - 6*y**2 + 14 + 3*y**3 - y**3 to the form c + p*y**3 + b*y**2 + u*y and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16269\/8 - -2029. Calculate the common denominator of y and -3\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 163 - (9 + 7 + (34 - 27)).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-3)\/(-1)*(-10)\/(-3) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (231 - -1)\/(-4) - 0. Let h = n - -61. Find w, given that 25\/2*w**2 - 5\/2*w**h - 25\/2*w**4 + 0 - 5*w + 15\/2*w**5 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48924876 to the power of 1\/2, to the nearest integer?\nAnswer: 6995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4 - 95*z**3 - 320*z**2 - 340*z - 112 = 0. What is z?\nAnswer: -28, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 159*j + 228912.\nAnswer: -3*(j - 304)*(j + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - -3. Let o = q - 23. Determine s so that 0 - 1\/3*s - 1\/3*s**o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*j + 140, -3*j - 3*l + 147 = j. Let k = -23 + j. Suppose -2*w = y - k, 3*w - 14 = 1. Solve r + y*t - 4*t = -13, 0 = r + t - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17759.8467 + -17761. Let k = -416.8793 + 417. Let z = k - j. What is z rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73 - 696095?\nAnswer: -696094.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + w = 99, -w = 91*n + 63*n + 513 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16345 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129*k**3 - 98*k**2.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*k = 36 - 9, -5*t + 30 = 5*k. List the prime factors of (1 - -10) + t\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j - 2*j**2 + 29*j + 0*j**2 - 57*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1.06. Let l = g - 0.46. Let z = -0.23 - -0.33. Put l, 2\/13, z in increasing order.\nAnswer: l, z, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 + -173.\nAnswer: -172.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0*j + 5*j = 12, 24 = 109*f - 108*f + j for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -145. Let t = o - -25.091. Which is bigger: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 5*v + 48 = 0. Let f = 19 - v. Let l be f\/2*(-230)\/(-15). What is the highest common factor of l and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10))**42)**(6\/5) assuming r is positive.\nAnswer: r**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950721 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3851002 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/789927 and -47\/80905.\nAnswer: 43445985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 6*z - 9. What is the lowest common multiple of r(8) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49.95554 centuries?\nAnswer: 4995.554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1792623, -1792621, -1792619, -1792617, -1792615?\nAnswer: -1792613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - v + 1. Let a(b) = 6*b**5 - 9*b**3 - 3*b + 9. Let q(s) = a(s) - 9*g(s). Find the second derivative of q(o) wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4703571 and 699?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (17 - 12)) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-108)\/20)\/(0 - 1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 15. Let u = h + -4. Suppose u*m - 68 + 8 = 0. Calculate the remainder when 29 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5759305081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -545\/5066 + -3\/298. Let j = -23\/51 - x. Let i = -3.7 - -0.7. Which is the second smallest value? (a) j (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 1\/4, -0.6, 14.098, -14\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 303\/8. Put 1, -4\/3, s in descending order.\nAnswer: 1, s, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -6, 10\/3, -0.04 in increasing order.\nAnswer: -6, -5, -2, -0.04, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744974089*f**2 + 1744974089*f**2 + 333*f**3.\nAnswer: 333*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.1 + -13. Let v = t - -2.9. Which is the closest to v? (a) -0.4 (b) 0.5 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3111, 3234, 3437, 3720, 4083, 4526, 5049?\nAnswer: 5652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -161*r**2 + 20*r - 8. What is i(1)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1. Let t(r) = -r**2 - 8*r + 7. Let i(a) = -6*c(a) - t(a). Let l be i(-9). Which is smaller: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f = 50. Suppose 5*u + 9 - 3 = 4*g, 4*u + f = -2*g. Is ((-3126)\/(-12))\/((-1)\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17516 is divided by 486.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4332 and 48588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 23248891?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/(-1485))\/((-5)\/(-70)).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37706, 37709, 37712, 37715, 37718?\nAnswer: 37721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*h - 3*p, 0*p + p + 19 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206034 = 2917*n + 19346 for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - 3*a**4 + 2*a**4 - 1 + (14*a**3 + 6*a**3 - 5*a**3)*(2 + 163*a - 7 + 3).\nAnswer: 2443*a**4 - 30*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1083?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -23. Let v = -0.7 + -7.3. Let y = v + k. Which is the nearest to y? (a) -0.5 (b) 1\/2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 0, -1, 1.\nAnswer: -1, 0, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15916520146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -469416982*h**6 + 3668860*h**2 + 59.\nAnswer: -56330037840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 627556 by 6.\nAnswer: 313778\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48\/5 of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2515?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1419542 and 29600?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367471194 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: What is 587 minutes before 5:38 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1867*b - 8 + 3 + 25*b**3 + 6 + 1869*b as g*b + y*b**3 + f*b**2 + o and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15977624 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2))\/((f*f**4)\/f))**24*f**(1\/5)\/f**(-5)*(f\/(((f*f\/f**(3\/4))\/f)\/f*f*f))\/f**(1\/5) assuming f is positive.\nAnswer: f**(-461\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47894 and 17416.\nAnswer: 191576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/11)*g*g)\/g*g*g\/g**1*g)**(-8)*(g\/(g**(1\/4)\/g*g))**(-6\/23)*((g**(-2\/3)\/g)\/g)**(2\/43) assuming g is positive.\nAnswer: g**(-1634915\/65274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65298, -66154, -67010, -67866, -68722, -69578?\nAnswer: -70434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -5, 104, 2\/49, 2\/5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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 p = 77 + -45. What is the remainder when p is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*l + 11. Calculate the lowest common multiple of l and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 - -204. What is the remainder when (20\/j)\/(-2) - (-552)\/9 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -24, -4, 0.06, 5, 68?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 43, 59, 75, 91, 107?\n\"Answer: 16*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -77.0569 times 0.3\nAnswer: -23.11707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**5\/36 + 95*r**4\/36 - 175*r**3\/6 + 2*r**2 + 1132. Factor t(j).\nAnswer: -5*(j - 35)*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -412?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o + 8775*o**2 - 57*o**3 + 22 - 8773*o**2 - 20 in the form r*o**2 + s*o + d + f*o**3 and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5592)\/(-28) + 6\/21. Suppose 0*i - 8*i = -d. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/1)\/((-9)\/(-18)). Suppose 5*l - l - g*h - 3624 = 0, 3*l - 2*h - 2719 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:53 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 15*d**2 + 23*d - 20. Calculate h(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -1. Let c = 15.1 + l. Is c at most 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 21.0000088. What is h rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 4. Let o = 1 - n. Suppose -3*d = -o*d - 63. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1544544 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 1. Let x = -6.999925 + f. Round x to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.4. Let b = 144340.499998 - 144340. Let p = b + s. Round p to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - l**2 + l. Let z(a) = -a**3 + a**2 + 2*a. Let v(b) = -20*s(b) + 5*z(b). Factor v(g).\nAnswer: 5*g*(g + 2)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 10*f**2 - f + 8. Let z = -20 - -10. Calculate the remainder when 34 is divided by v(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1371, -5, 45, 5 in decreasing order.\nAnswer: 45, 5, -5, -1371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*((-675)\/80 - -9).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-588)\/96 + 1\/8. Let n be (-326)\/(-9) - 2*k\/(-54). List the prime factors of ((-328)\/6)\/((-24)\/n).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010011011000 (base 2) to base 11.\nAnswer: -46196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1448 = 19*k - 11*k. Let x = k - -307. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 h, and 1 w when four letters picked without replacement from {u: 3, e: 2, v: 7, o: 1, w: 2, h: 3}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - t - 2*t + (7 + 6*t - 7)*(2 + 1 - 1) + 3*t + 0 + 0 + 0 + 0 - t + (1 + 0 + 1)*(t - t - t) - 1 - t + 1 - t + 0*t + 0*t - 2*t + 2*t - 2*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w + 5. Let b be h(0). Suppose 4 = -2*v + b*u + 21, 4*u = 3*v - 22. Let g(r) be the second derivative of r**3\/6 + r**2 - 4*r. Give g(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 497 + -289. What is the smallest common multiple of 2 and o?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 53, 44, 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/18826 and 35\/4166?\nAnswer: 39214558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 9*u - 5*u, 0 = -u + 3*k - 10. Calculate the highest common divisor of 35 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*1)\/((-1)\/5). Suppose 4 = m + 2*z, 5*z - 8 - 2 = -w*m. Suppose m = k + 2*t + 49196, -4*k - 2*t - 101325 = 95471. Round k to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111063.000165493 - 111063. Round r to six dps.\nAnswer: 0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -369*h**3*m**2 + 25*h**3 + 145570*h**2*m**4 - 71710*h**2 - 7*h wrt m.\nAnswer: -738*h**3*m + 582280*h**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7248*q**5 - 2*q + 11399.\nAnswer: 144960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 5037.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p - 3*p)*(6 - 6 + 3*p**2) + p**3 + 4*p - 4*p + 6900*p + 118*p**3 - 6900*p + (p - p - p**2)*(3*p + 0*p - p).\nAnswer: 111*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a micrometer in nanometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(175) + -2*sqrt(175))*-4)**2.\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10))\/(16\/(-280)). Suppose -r - 4*a = a - d, r - 5*a + 3 = 0. Let w = -5 + r. Let f(p) = p**2 + 3. Give f(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4371 - 2400?\nAnswer: -6771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.1, -0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:38 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/5))\/x)**(-4\/15)*(x*x\/(x**(-3)*x))\/(x*x\/(x**(5\/2)*x)) assuming x is positive.\nAnswer: x**(841\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-21))\/((-8)\/16)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(15\/90)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*-1*sqrt(2205))\/(5*sqrt(1296) + sqrt(1089)*-5).\nAnswer: 42*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-9) + (-78)\/(-9). Suppose 20 = w*i - 4*i. Suppose -65 = -i*h - 4*a, -h = -2*a + 5*a - 13. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(27\/(-102))*-2.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5269264 is divided by 457.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -96668768 or -3?\nAnswer: -96668768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20663 divided by -17\nAnswer: 20663\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -1c8?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 1, b: 2, q: 7, z: 7}. What is prob of sequence byzb?\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1130023502 - 0?\nAnswer: 1130023502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -20 + 25 + -1 + -3 - (57 - 98).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*q + 12, 12 = 3*z - q - 5. Let o be (918\/(-204))\/(6\/(-4)). Solve -z*w - m + 3 = 0, -w - m = -0*m - o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3)*10*(-1)\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 20512218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m**2 - 3*m + 193. Let f(r) = -9*r**2 + r - 95. Let c(q) = -10*f(q) - 4*l(q). What is the derivative of c(y) wrt y?\nAnswer: 44*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1038 = -289*a - 195 + 891. What is the closest to 7 in 0.1, a, -0.4, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 12833*t**6\/30 + 115*t**4\/2 - t**3\/6 + 3*t**2\/2 + 2*t - 452. What is the third derivative of l(r) wrt r?\nAnswer: 307992*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 2*k**3 - 3 + 1513008*k - 4*k**3 + 3*k**3 - 4325856*k.\nAnswer: k**3 - 2*k**2 - 2812848*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 6*d**2 - d**2)*(-6*d + 8*d + 6*d + (2 + d - 2)*(4 - 4 - 1) + d + 0*d - 2*d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 3*g**4\/4 + 33*g**3\/4 + 21*g**2 + 9*g - 68. Determine i so that m(i) = 0.\nAnswer: -6, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, h: 3, f: 3}. Give prob of picking 1 h, 2 y, and 1 f.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000159278 to 6 dps.\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.7 less than -104797?\nAnswer: -105307.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2090 and 186637.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5655, 5654, 5653, 5652, 5651, 5650?\nAnswer: 5649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-6 - (-57)\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171827887.\nAnswer: 7, 11, 19, 257, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*n**2 + 598*n**2 - 31*n**2.\nAnswer: 928*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and (-6)\/13 + 58480\/520.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 11*l**2 + l - 4. Give k(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 77\/14 + (-510)\/(-4). Which is greater: 128 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6062699 a multiple of 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 962225 and 55?\nAnswer: 962225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -205.5 - -601. Let q = w + -396. Which is the fourth smallest value? (a) 62 (b) q (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:55 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**6\/120 - x**5\/10 + 11*x**4\/24 - 4*x**3\/3 + 19*x**2. Let s be d(4). Solve s = 2*u + f + f, -f + 12 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2986 from -26494.\nAnswer: -23508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7120 and 1250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*k**2 + 482*k**2 + 53*k - 1 - 63*k.\nAnswer: 255*k**2 - 10*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (395\/(-3))\/(-5) + -2 and -49\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/(-2)*2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 16) to base 14.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 s, and 1 e when four letters picked without replacement from {t: 1, e: 1, p: 1, s: 2, w: 1, n: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65588?\nAnswer: 2, 19, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -17*c - 10. Let o(a) = 2*a - 31. Suppose 0 = 8*j - 2*j - 78. Let y be o(j). What are the prime factors of w(y)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 4*f**2 - 4*f**2. Let b = 2 - 0. Let s(x) = -3*x**2 - 4*x**2 + 5*x**b. Determine s(d(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9541356 is divided by 9540864?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140040, -560160, -1260358, -2240634, -3500988, -5041420, -6861930?\nAnswer: -8962518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a + -2?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/11 + 15956*z**2\/11 + 31918*z\/11 + 15960\/11.\nAnswer: -2*(z - 7980)*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:53 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 2e11?\nAnswer: -2e0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 + 4 - 5 - 4*o**2 + 2*o**2 in the form c*o + l + x*o**2 + f*o**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -119, 1\/6, -3, 0.048, 0.06?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/12 + 558429\/(-12). Let f = -31136 - c. What is f rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-36)\/(-73)) - (-3936)\/738\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*w + 69 = 3*r, -r - 5*w + 27 = 0. Suppose 0 = -i - 0*i + 3. Suppose -i*t + 8 = -16. Calculate the highest common divisor of r and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625 = 3*v - 2*q, -2*q = -v - 7*q + 231. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 7 - 1\/15*l**3 + 0*l**2 + 1\/10*l**4 - 1\/25*l**5 + 0*l. Factor n(i).\nAnswer: -i**2*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i + 1. Let c(p) = -1293*p + 6. What is -c(a) + 6*w(a)?\nAnswer: 1401*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -269415 and -0.4.\nAnswer: 107766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3477253809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65.1 and 0.21593.\nAnswer: 14.057043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17725 - -17736. Which is greater: a or 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104791867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*x + 900 - 3025, 0 = 5*x - z - 2125. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95001191 to the power of 1\/2, to the nearest integer?\nAnswer: 9747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -4*c**3\/3 - 8*c**2 - 12*c - 4. Suppose n(u) = 0. Calculate u.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305412413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.22, -3, -102 in increasing order.\nAnswer: -102, -3, -0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 207 = 5*k. Let i = -10582 + 10651. Calculate the highest common divisor of k and i.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9d - 41?\nAnswer: -de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j + o, 5*j + 1 = -4*o + 2*o. Let q(i) = 205*i**3 + 3*i**2 + 2*i + 1. Let y be q(j). Let a = -16 - y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3*z - 32, 8*k - 6*k = -5*z + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-141.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.16 + -0.16. Let z = j - 5. Which is the nearest to -1\/2? (a) 5 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.225716+-0.2\nAnswer: 0.025716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1306616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(-912*l + 433*l + 479*l + 3312*l**2) as a + h*l**2 + j*l and give h.\nAnswer: -3312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*n + 14, 0 = 3*d - 10*n - 250 - 261 - 239 + 680 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 94*m + 302. What is b(6)?\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519836883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9713 - 6644. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = h + 2*h. Suppose -4*r + 5 + 11 = 0, 0 = 4*v + 3*r. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 52. Let a = -115 + 261. Calculate the remainder when a is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -138\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157615 - -403494407\/2560. Find the common denominator of u and -53\/512.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -383d (base 14) to base 12\nAnswer: -5853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060257?\nAnswer: 3, 11, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -921*f + 20253. What is a(22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(4 + 4 - 4)*(2*a**4 - 3 + 3).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 20560 + 0*l + 20244)*(0 + 7 - 2) to the form i*l + c and give c.\nAnswer: -1580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 27*t - 29*t - 2627, -4*t = 16. Let p = z + 897. What is the remainder when p is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27284567570 take away 0.64?\nAnswer: -27284567570.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbspsbbsb. Give prob of picking 1 b and 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 75, 138, 217, 312?\n\"Answer: 8*z**2 + 23*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 826 + -273. Let l = d - 31. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(-12))\/y)*y*y**(-12))\/(y\/y**(3\/7)*y**6) assuming y is positive.\nAnswer: y**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -138408 >= -2\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + (3 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1 - 5 - 6*p - 3*p - 5 - p**2. Let x be w(-7). Suppose x*c - 104 = c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -3)*12\/8. What is the first derivative of -28*z**2 + 18 + h + 26*z**2 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.32997 to 3 decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10322*k**6 - 6990*k**2 + 2*k + 1 wrt k?\nAnswer: 1238640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/99 and 145\/24.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 127.39*0.11\nAnswer: 14.0129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4416 and (14\/(-28))\/(2\/(-20)) - 3.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383356.\nAnswer: 2, 239, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 15. Let v(t) = -3*t. Let f be v(-1). Suppose -4*z = -f*z - 18. Calculate the lowest common multiple of w(11) and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w - 1064. What is the least common multiple of 125 and b(-109)?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978 at least as big as 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -10, -1.1, -3, -1\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 25. Suppose -3*b + 0*b = 3*g - t, g + 5*b - 11 = 0. Let f(k) = -k + 20. Calculate the remainder when 17 is divided by f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - ((-10279)\/(-7033) + 6\/(-13))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3\/4, 0.06, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -10, 6, 2, -249 in ascending order.\nAnswer: -249, -10, 2, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 66395477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50065118 by -2.\nAnswer: 25032559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 9 + 3. Let x(a) = -a**3 + 15*a**2 - 11*a - 7. Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -17 + 25. Solve 4*x - 3 + 4 = 3*d, -h*x = -3*d - 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.8 + 17. What is the nearest to 0 in t, -2\/7, 11\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4821147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 6*i + 8. Let b(d) = d**2 + 5*d**2 - 7 - 2*d**2 - 3*d**2 + 5*d. Let k(m) = -4*b(m) - 3*q(m). Suppose 0 = 4*j - 3*j + 3. What is k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -157*r - 312. Let x be y(-2). Suppose 3*t + 7 = 4*t. Solve -t*h = -x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 6*v - 5. Give p(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500*q**3 + 2779*q**3 - 1580*q**3.\nAnswer: -301*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 3) to base 14.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:03 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (-3)\/4*-4. Let o(l) = -l + j*l - 2*l + l. Let c(x) be the second derivative of 5*x**4\/6 - 12*x. Calculate c(o(z)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 999, -1016, 2 in decreasing order.\nAnswer: 999, 2, -1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -152*c**2. Let x(s) = -12*s. Give x(f(v)).\nAnswer: 1824*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1d5ca (base 14) to base 5\nAnswer: -4401441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 86 = 3*q, 2*k - q + 11 = -83. Let l(n) = 4*n**2 - n. Let s be l(-5). Let t = s + k. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40770210 is divided by 203851.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 9*g**2 + 6*g - 3. Give n(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**4 - 4*w**3 - 6*w + 4. Let m(f) = 3*f**4 + 3*f**3 + 6*f - 3. Let i(j) = -4*m(j) - 3*r(j). Find the second derivative of i(h) wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(98) + sqrt(98)*1 + sqrt(98) + 2 - (-4 + sqrt(98)*4 + 0)**2.\nAnswer: -1584 + 245*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10110100001101000110010?\nAnswer: 10110100001101000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3536156882 to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6*(r**(3\/2)*r*r)\/r*r*r*r**(-3\/5)*r\/(r\/r**3)*r assuming r is positive.\nAnswer: r**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 745 = 630. Solve 37 - 129 = t*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12)*-3)*-4*3 - (sqrt(63) + -4 + sqrt(28) + 1)*5.\nAnswer: -21*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 592045 < 592307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1861.72 to the nearest 10.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 11*i + 6. Let z be k(10). Suppose z*y = 19*y - 486. Suppose 24*d + y = 26*d. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 4*l - 291*l**2 + 335*l**2 as j*l**2 + m + g*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - 5\/15. Let l be (-2)\/(1*2)*-11. Suppose -4*q - 4*h = -0*q, -2*q = -5*h - 35. Solve 2*m - l = -5*i - c*i, q*i = 4*m - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 15. Let u be s(-12). Let h = -2 - u. Is -118*3\/(h*-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/10*120\/24. Suppose 11 = 5*k - 4*v - 14, -c*k = -2*v - 20. Suppose -3*u = j - 195, 4*u + 134 - 1054 = -k*j. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) - (sqrt(15)\/sqrt(3) + 4)) + (1 + sqrt(720))**2 + 1.\nAnswer: 24*sqrt(5) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683560549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15865 and 145516236?\nAnswer: 145532101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 286233 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n**2 - n. Let q be x(0). Let l = -3 + 8. Suppose q*z + l*z + 16 = 2*k, z + 5 = k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 213436?\nAnswer: -213432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 153 = -4*f, 2*p = -61 + 59 for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u + 840 = 45*u. Find the common denominator of ((-90)\/24)\/(u\/(-2)) and -67\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 3:33 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2835)\/(-60))\/27 + (-27)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7532 and 252860?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(24\/(-1060)) - 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/975 and 49.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4288972 to 4 decimal places.\nAnswer: -0.4289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 483982929 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let y(r) = r + 10. Let k be y(-7). Let i(g) be the first derivative of k - 1 + 1 + 0 + g**2. Calculate j(i(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -0.3, 32.2, -2\/15 in ascending order.\nAnswer: -2, -0.3, -2\/15, 5, 32.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 518700 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 - 4*p**5 + 6*p**5 + (-3*p**4 + 2*p**4 + 3*p**4)*(-2*p + 3*p + 0*p).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = j - 487, -5*x = -2*j + 5*j + 2451. Is 4\/(-6)*x\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119215.\nAnswer: 5, 113, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 79*n - 237. Let t be v(3). Which is smaller: t or -1\/432?\nAnswer: -1\/432","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 286, 611, 962, 1351, 1790, 2291?\n\"Answer: 2*w**3 + w**2 + 308*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -21*b**2 - 22*b + 8. What is q(-4)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -582 = -5*c - 116*r + 118*r, 4*c = 5*r + 452. What are the prime factors of c?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/9)\/1*(-492)\/1435?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3842930 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose -6 = 2*o - m. Let r(n) = n**2 + n - 1. Let j(h) be the first derivative of h**3\/3 - h + 13. Give o*j(x) + r(x).\nAnswer: -x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7793 (base 13) to base 10.\nAnswer: -16682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/10))\/b)**(4\/39))**(-1\/2) assuming b is positive.\nAnswer: b**(-1\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1540256016 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/5 + 3136*c**2\/15 - 258086*c\/15 + 5712 = 0. Calculate c.\nAnswer: -595, 1\/3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37536032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.1, 5\/6, -25, -0.09, -1.06?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**(1\/14)\/(v**(-3)\/(v*v**(2\/3))))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3 - 2373*y**2 + 113774*y + 237048 = 0.\nAnswer: -2, 51, 2324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1455659, -1455662, -1455665?\n\"Answer: -3*c - 1455656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (-2)\/(-1)*2676. Find the common denominator of (c\/(-31312))\/(3\/4) and -46\/9.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1043\/6, -1\/4, -261, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 3, v: 4, x: 1, i: 3, p: 6}. What is prob of picking 1 h and 1 p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214*s**2 + 877*s - 559318?\nAnswer: -428*s + 877","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133.6 - 119402696.\nAnswer: -119402562.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89442*i**4 - 97311*i**2?\nAnswer: -2146608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7680 - 7682. Which is the third biggest value? (a) -0.2 (b) -5 (c) -3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 50. Suppose 9*a + 21 = 2*a. What is the nearest to -1 in i, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*t - 182 = 0, 2*w + t = 351 - 14. Suppose -h + 160 = -w. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 4*q - 3, 0 = -5*m + 170*q - 166*q + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d + 4. Let q be c(-4). Let w(x) = -x**3 + 3*x - 4. Let p be w(3). Is 4 a factor of (p\/q + -2)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 3*t**2 + 3*t - 1. Let v be n(-4). Let z(m) = -m**2 + 4. Let q be z(0). Differentiate -v*k**q + k**4 - 2 + k**4 with respect to k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a factor of 1115652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -240437\/92796 + 1\/8436. Find the common denominator of -115\/14 and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3 - 4 + 4 - q. Let d be y(4). Let t(n) = 2*n**3 - n**2 - 8*n - 1. Let r(u) = -u**3 - u. Let l(v) = -6*r(v) + t(v). Determine l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 6*x**2 - 3*x + 5. Let j be t(4). Suppose -j = -5*s - 0*s. Calculate the remainder when 7 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 159*z - 160*z - 38, -z = -3*f - 32 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36654852 divided by 52?\nAnswer: -704901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n + 340700 = 338150 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22587.\nAnswer: 3, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**3)\/g*(g*(g*g**5)\/g)\/g*(g**(2\/5)*g)**(-3\/31))\/(((g**1\/g)\/((g\/(g**(1\/4)*g)*g)\/g))\/(g*((g**(-1\/4)*g)\/g)\/g*g*g\/(g\/g**4))) assuming g is positive.\nAnswer: g**(1973\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + 0*t**3 - 3*t**3)*(13 + 8 - 23).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(77)*2 + sqrt(77))*4 - sqrt(77))\/sqrt(7))**2 + -5)*-3.\nAnswer: -3978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0 + 1\/4*v**5 + 0*v**4 + 5*v - 7\/6*v**3 + 0*v**2. Find the second derivative of m(k) wrt k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 118. Let f(b) be the second derivative of 17*b**3\/6 - 14522*b. Determine s(f(n)).\nAnswer: 17*n - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -12*s + 888. Calculate the remainder when 2087 is divided by s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 18\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/20*-74*(2 + -3). Is r < -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1412 and 115\/37842.\nAnswer: 26716452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 0 = 3*d + 2*g, -2*d = -2*g - 4. Let k = 6 - 4. Which is the nearest to d? (a) -3 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or 1658.64?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-1)))**27\/((b\/(b\/((b\/b**5)\/b))*b)\/(b\/(b\/(b\/b**(-2\/9))))) assuming b is positive.\nAnswer: b**(290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 - 133 = 15*l. Solve -l*z = -22*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 816661.\nAnswer: -1633322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**4*y + 72302*l**3*y - 32*l**2*y + 1445*l**2 wrt l.\nAnswer: 24*l*y + 433812*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.10662 - 0.4989\nAnswer: -0.39228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 1 + sqrt(304) + -5)**2.\nAnswer: -64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50357 or -3373904\/67?\nAnswer: -50357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*c - 3*c. Find the common denominator of -61\/15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 48*t**4 - 68*t**3 - t**2 + 14*t + 3. Let q(h) = 336*h**4 - 477*h**3 - 6*h**2 + 99*h + 21. Let i(s) = 27*l(s) - 4*q(s). Factor i(g).\nAnswer: -3*(g - 1)**2*(4*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -391621\/22 + 17796. Calculate the common denominator of 4 + -2 - (-74)\/28 and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -835*18\/(-30) - 0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.55315ml?\nAnswer: 0.00455315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/8)\/((-1)\/(-8)). Let g(l) = -5*l + 20. Let h be g(-9). Let t = 15 + h. What is the highest common factor of t and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 11 + -12 + 7 - -11) + (1 - 34)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 95 = 2*s + 4*m, -5*s - 239 = m. Let k = 64 + -117. Let c = s - k. Solve 0*n - c = 3*q - 2*n, 2*q - 2*n = -6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 197?\nAnswer: -3\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61954 or -61955?\nAnswer: -61954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -524935\/76 or -4?\nAnswer: -524935\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -13. Let o be 7\/(-1) - 4\/(-4). Let r be 4\/o + j\/15. Which is the smallest value? (a) 0.5 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1919 is divided by 381?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 659 - 656. Let c be (0*(-4)\/(-20))\/(12\/v). Solve 8 = -2*g - 3*d + 7*d, -3*g + d - 7 = c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -372257, -372272, -372295, -372326, -372365?\n\"Answer: -4*m**2 - 3*m - 372250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2709423*z + 4. Let t(u) = -u. Calculate i(t(f)).\nAnswer: 2709423*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -465718 * -0.19\nAnswer: 88486.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 12491096*s - 6*s**3 + 12491096*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(2\/7)\/y)**(-35))**(-10))**(-2\/11))**(-26) assuming y is positive.\nAnswer: y**(-13000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + j**4 - 16*j**3 + 20*j**2.\nAnswer: j**2*(j - 2)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + r. Let t(w) = 4*w**3 - 6*w**2 + 7*w + 2. Give 6*i(n) - t(n).\nAnswer: 2*n**3 + 6*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*o*r**2*y**2 + 3*o*r**2*y - 2*o*r*y**2 - 3*o*r + 4*o*y + 2*r**2*y + 19*r**2 - 14*r*y**2 + y**2 + 2*y wrt r?\nAnswer: 70*o*y**2 + 6*o*y + 4*y + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.3. What is the nearest to -0.2 in u, 1, -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 + -0.22. Let s = 24 - 17. Let c = -6.9 + s. What is the nearest to g in c, 0.5, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75047, -75063, -75085, -75113, -75147?\nAnswer: -75187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 136\/12*(-6)\/4. Let b(w) = 23*w - 6. Let l(g) be the second derivative of -4*g**3\/3 + g**2 - 4*g. Let u(x) = v*l(x) - 6*b(x). Differentiate u(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 9. Suppose 3*q - a = -17, -2*q + 2 = -3*a - a. Let j be -1 - (-1 - 0) - q. Let l be k(j). Calculate the greatest common factor of l and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -191890 - -345417. Let o = 153527.449997 - h. Let p = o + -0.45. Round p to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -56*u**2 + 21*u - 16. Let w(r) = 11*r**2 - 4*r + 3. Let n(z) = 2*v(z) + 11*w(z). What is the remainder when n(1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*r - 25 = -5, 3*y = 3*r. Suppose -z + f = -48, 4*z - 3*z = y*f + 63. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 2000809510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 >= -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3523*u - 718673. Determine d(204).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 3*h - 3, 2*h + 2281 = n + 2286 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(2*m - 2*m + m) + 4*m + 11*m - 10*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 145*i**2 + 4*i - 1. Let f(z) = -288*z**2 - 7*z + 1. Give 3*f(y) + 5*n(y).\nAnswer: -139*y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/27, -4, 2.4 in increasing order.\nAnswer: -4, 8\/27, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:49 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 80458599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1*(-30)\/12. Let y be (8\/12)\/(28\/6). Which is the closest to 3? (a) y (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 8. Let w be k(-8). Let d be (-1552)\/485 + 12\/(-15). Let t(r) = -r**3 - 2*r**2 - 2*r. Let n be t(-2). Put n, d, 2, w in increasing order.\nAnswer: d, w, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 - 11 - 3*u + 7 + 0*u wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -8*t + 15*t. Let z(k) = k**2 + 5*k. Let x be z(4). Calculate the greatest common divisor of x and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 + 615 - h + 0*h + 1254.\nAnswer: -h + 2041","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, q: 3}. What is prob of sequence qkq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0 - 4*i + 0*i**3 + 1\/90*i**5 + 1\/54*i**4 + 0*i**2. Factor u(r).\nAnswer: 2*r**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3436744 and 3436486 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.000247 times 4\nAnswer: -0.000988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3469, 6943, 10425, 13915, 17413, 20919, 24433?\nAnswer: 27955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -679*n - 1962. Let a(x) = 66*x. Let r(u) = -6*a(u) + 2*f(u). Differentiate r(j) wrt j.\nAnswer: -1754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -13*z**6\/120 - z**5\/10 + z**4\/24 - 3*z**3\/2 - 4*z**2. Is i(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 646 = 160. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 755 = -519. Let p be (-14)\/(-4)*(-28)\/n. Solve -13 = p*s - 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 292.4489 micrometers?\nAnswer: 0.2924489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3714, -4055, -4396?\nAnswer: -4737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*f + 19 = 0, -19 = 3*a - 3*f - 2*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14102 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 29*v - 301. Let x(t) = -13*t + 150. Let y(h) = 2*c(h) + 5*x(h). Differentiate y(g) with respect to g.\nAnswer: -8*g - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-8)\/(-2)))\/(665\/798)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93668581*b**2*l**2 - 7*b**2*l + 4277*b + l**2 + 2*l wrt l.\nAnswer: -187337162*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30*49530\/(-508)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107152 by 74.\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, -2, 5, 1\/2, -0.2 in ascending order.\nAnswer: -2, -0.2, -0.16, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 21*q**2 + 97*q - 316. Calculate x(15).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 + 2*b**2 - 2*b - 2. Let x(h) be the third derivative of -h**6\/60 - h**5\/20 + h**4\/8 + h**3\/2 + 190*h**2. Determine -3*i(y) - 2*x(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13860.57t in grams?\nAnswer: 13860570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 7 + 0 + 586*i**2 - 7 in the form q*i**2 + n*i + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -1. Suppose 7 = 6*m - r. What is the remainder when (-10 - m)\/(18\/(-27)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335 (base 11) to base 16.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6954, 6969, 6994, 7029, 7074, 7129?\nAnswer: 7194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 10100?\nAnswer: 10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 4:45 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*p - 8*p. Suppose -f - p = -l + 6*l, -3*f + 11 = -l. Which is greater: 3\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.884 - -0.116. Put -1, 0.2, b, -4 in descending order.\nAnswer: b, 0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48607 or -9546?\nAnswer: -9546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 3*s - 3. Let n = -134 - -201. Let d(b) = b + n - 67. Let z(c) = 3*d(c) + r(c). What is the derivative of z(f) wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1343 + 878?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 1 + u + 0)*(0 + 1 + 6)*(-1 - 3 + 3 - 3*u**2).\nAnswer: -42*u**3 + 21*u**2 - 14*u + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - 56\/(-42) - 281\/(-3) is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102061\/10 + -10195. Calculate the common denominator of z and (1\/(-6))\/((-7)\/1036).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16883, 16884, 16885, 16886?\nAnswer: 16887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2. Let o(m) be the second derivative of 295*m**3\/3 - m + 127. Determine o(v(u)).\nAnswer: -590*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/(l\/((l\/(l\/l**5))\/l)*l)*l*l)\/l))**(-14\/3)\/((l*l**2)\/((l*l\/(l\/(l*l\/(l**(-4)\/l)*l)))\/l)))**(3\/38) assuming l is positive.\nAnswer: l**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 22 - (-25)\/(97375\/(-85772))?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16906750 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110100010 (base 2) to base 15.\nAnswer: -25ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 23867 - 23867 + 11*u**4 + 3*u**3 - u**2 in the form t*u**2 + j*u**4 + y*u + a*u**3 + z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3761 - 41*r**3 - 3759 - 6*r**3 + 4*r**2 - 4*r**2 + 5*r**4 - r to the form a*r**4 + t*r**3 + l*r + f + i*r**2 and give t.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 39*k + 37*k + 17.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-1 + 1 - (-41 - -46)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5 - 294*b**3 + 11709*b**2 - 44*b + 14576?\nAnswer: -20*b**3 - 1764*b + 23418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**8\/336 - y**7\/105 - y**6\/360 + y**5\/60 - 5*y**3\/3 + 12*y**2. Let m(z) be the first derivative of n(z). Factor m(l).\nAnswer: -l*(l + 1)**2*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/300 - p**4\/120 + 5*p**2\/2 + 3*p. Let b(x) be the first derivative of w(x). Solve b(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21968 = -3*k - 8078. What are the prime factors of k?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1339 or 1760?\nAnswer: 1760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o - 2. Let q(b) = -b + 7. Let f be q(9). Let n(u) = -u**2 - 4*u + 9. What is the least common multiple of n(-5) and x(f)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323662995 to the nearest integer?\nAnswer: 17991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 10, -23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -16.8.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 12*u - 17. Suppose -5*j + 51 - 1 = 0. Let f be s(j). Solve v + 8 = f*a, -2 = -v - 3*a - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1203874.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4572066 divided by -1457\nAnswer: -3138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334222386*0.1.\nAnswer: 33422238.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-180)\/80)\/(6\/(-8)). Suppose -4*m + 4*l = -h*m - 16, -4*l - 24 = -3*m. Solve 7 = m*g - 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**4*q + 3739607*b**4 - 3399*b*q + 3*q + 20 wrt b?\nAnswer: 36*b**2*q + 44875284*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 3240562002189?\nAnswer: -3240562002184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 17*p**2 + 19*p + 21. Give x(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81316 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10720 and 0.5.\nAnswer: -5360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 181184\/342 - 0\/1. Let j = z + -530. Let m be -4*(9\/10 - 1). Which is the nearest to 2\/17? (a) 0.2 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((-9)\/108). Solve 2*d - j*v = 16, -3*v = 2*d + d + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39012?\nAnswer: 2, 3, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2485 * -1822\nAnswer: 4527670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, r: 1, z: 1, v: 2}. What is prob of sequence ww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.30410345 to four decimal places.\nAnswer: -1.3041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14354 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.7 from -3.\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 8.1. Let h = -6.9 + z. Let t = 6 + h. Which is greater: -2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((((p\/(p*p**4*p))\/p*p)\/p)\/p)\/p)*p\/(p\/((p**(1\/7)*p*p)\/p))*p)\/(p**4)**(-6\/11) assuming p is positive.\nAnswer: p**(1026\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -222492823 divided by -4\nAnswer: 222492823\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -2)*0 - -4. Suppose 2*u - a + 2 = 0. Let s be (3 + -2)\/((-1)\/2). Sort s, u, 3.\nAnswer: s, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11662 - 80?\nAnswer: 11592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 7*n = 32 + 8, -4*n + 28 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 125.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.72 (b) -3 (c) -5 (d) 2 (e) -0.14 (f) 0.3 (g) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 421, 1646, 4203, 8578?\nAnswer: 15257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*2*-4 + sqrt(4752))\/(sqrt(432) + sqrt(432) + -3*(sqrt(432) - (sqrt(432)*-4 + sqrt(432)))).\nAnswer: 7*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -50 - (223 - 176)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -24, -44, -64, -84, -104?\n\"Answer: -20*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88059040 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3518750 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 + -211. Let z = j + 64.9. Let r = z - 3.862. What is r rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (222*q + 50 - 424*q + 218*q)*(20*q**2 + 31*q**2 - 46*q**2) as m*q**2 + c + s*q + v*q**3 and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 90276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejejjjeeejjj. Give prob of picking 2 j and 1 e.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3111 = -6*b - 735. Which is bigger: b or -639?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1789\/6 or 298?\nAnswer: 1789\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -629026 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1026 - 2007\/2. Find the common denominator of (39\/(-27) - -2)*-2 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) - 3\/12. Let o = r + 2. Calculate the lowest common multiple of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13411792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (17 - 16 - (15 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2199, 2220, 2261, 2328, 2427, 2564, 2745, 2976?\nAnswer: 3263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -141, -105, -51, 27, 135, 279?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57.95017g?\nAnswer: 57950.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5\/2)*j**3*j**(-2\/19)\/(j**(-4\/7)\/j) assuming j is positive.\nAnswer: j**(523\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.8 - -0.2. Let p = c - 17.5. Let k = p - -0.3. What is the biggest value in -4\/7, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/(4070\/146520)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -915729*z**3 - 34102*z**2 - 2*z - 1?\nAnswer: -5494374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 - -8.72614337125?\nAnswer: 11.12614337125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 342*i + 6. Let u(l) = -7*l + 2. Give s(m) - 5*u(m).\nAnswer: 377*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l. Let v be a(2). Suppose -v*d = d. Suppose -3*b + 8 + 16 = d. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 74. Suppose 3*u - 8*u = -105. Let l = r - u. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 9*a**2 - 9*a**2 - 20)*(2*a + 2*a - 2*a).\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*u + u. Suppose u = s - 12. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l**2 + 4*l - 4. Let h be n(5). What is the greatest common factor of h and 160?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 252?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 5*k + 0*k + (3*k - 3*k - 2*k)*(2 + 1 - 5) - 2*k + 4*k - 3*k - 4*k + 2*k + 3*k - 4 - 3*k + 4 - 55 + 55 + 10*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 2*i + 2. Let v(m) = -8*m**2 - 120 - 117 + 9*m + 246. Determine 9*d(h) - 2*v(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -368 - 8?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 12*b**2 - b + 2. Let d be u(12). Let p = d - -16. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o - h + 10, 0 = -o + 3*h + 20. Let n(x) = 4*x - x**3 + 3*x - o*x**2 - 3 - 6*x. What is the remainder when n(-6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -721\/207 - -6\/23. Suppose k - 35 = -5*a, -5*k + 35 = -2*a - 5. What is the common denominator of l and 1\/(-2)*44\/k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 5, 1\/2, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1001550 bigger than -4006203\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7893468 and 17314704.\nAnswer: 536755824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*q + 15*o**2 + 39*o*q + q wrt o.\nAnswer: 2*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32765522.\nAnswer: 2, 577, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*r**3 + 223 - 267*r**3 - 107 - 116.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.79 - -1.21. Which is the closest to d? (a) -0.2 (b) 0.1 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4573 is divided by 209.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5ca (base 13) to base 10.\nAnswer: -51542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103.8 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/33 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -61, -31, 59, 227?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24988156?\nAnswer: 2, 263, 23753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -2 (c) -0.0725 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-325670\nAnswer: -325670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 3, -5, -1, -4, -373, 5 in decreasing order.\nAnswer: 5, 3, -1, -4, -5, -60, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -62. Let v be 1 + -3 - ((g - -1) + 0). Let r be 5\/((6\/12)\/((-1)\/v)). Solve -4*j - 19 = -2*o - o, 0 = r*j + 2*o + 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43\/6 - -15\/2. Which is the nearest to n? (a) -3 (b) 5 (c) -8 (d) -463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 8*y + 0*y)*(-6 + 3 + 4)*(1 + 0 + 2 + (-3 - 2 + 3)*(4 + 0 - 6) + 1 + 3 - 3).\nAnswer: 112*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 9 = -41. Let t = 11 - 7. Let d(v) = -w*v - v + t*v. Let c(n) = 3*n**2. Calculate d(c(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1380062 - 945447. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8665732 tonnes to micrograms.\nAnswer: 866573200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*u = -2*v, 0 = v - 5*u. Suppose -3*r**4 + v*r**4 - 2*r**5 + r**4 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + 0*c)*(-3*c**3 + c**3 + 0*c**3) - 3*c**4 + 1 - 1 + (3 - 3 - 2*c**2)*(c**2 + 2*c**2 - 2*c**2).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0576 + 1.9424. Which is greater: 665\/8 or y?\nAnswer: 665\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158368769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61675.85ml?\nAnswer: 61.67585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158819 + 296940. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*s + 16. Suppose -s*j + 30 = j. Solve -3*o - 3 = 2*h, 4*h - 2*o = j + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2016*h + 104679 = -1562*h + 77*h - 376*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4744*h + 877423. Determine p(-185).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**3 + 13*t**2 + 2*t + 9. Let y(s) = 9*s**3 - 20*s**2 - 3*s - 14. Determine -8*v(w) - 5*y(w).\nAnswer: 3*w**3 - 4*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 5. Suppose -4*h + k = 7. What is the units digit of ((-93)\/6)\/((-1)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) -3 (c) -6\/19 (d) -5 (e) 1\/4 (f) 299\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (15 + -11)\/((-3)\/4671*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i - 62. Let b be n(7). Let o = -20 - 3. Let c = b - o. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2711*s**3 + 4542 wrt s?\nAnswer: -8133*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from whhfkwwillhkkkli.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*b - 5*b. Let i be b\/(-2)*(-24)\/(-15). Suppose -2 - 10 = i*q. Put -1, q, -2 in descending order.\nAnswer: -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-56)*(-504)\/(-18)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73514 is divided by 73448.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 11 + 12 - 8*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 61. Let g(l) be the first derivative of 1\/3*l**3 + l - z - l**2. Solve g(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6)\/(-3)*-34. Let x = 30 + 106. Let a be (x\/16)\/(1\/2). Calculate the greatest common factor of c and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q, -18*i - 104 = -22*i - q. What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 11*k + 2. Let q be m(-11). Let l(i) = -i**3 + i**2 + 1. Determine l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6074520 to the nearest ten thousand.\nAnswer: 6070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/27)\/((-1)\/(-14)). Calculate the highest common factor of 140 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16097, 64379, 144805, 257339, 401945, 578587?\n\"Answer: -6*m**3 + 16108*m**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744622.\nAnswer: 2, 372311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/30 + 5*q**4\/12 + 4*q**3 - 25*q**2 + q. Let h be k(-3). Is -113\/5 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -170 or -2473.49?\nAnswer: -2473.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 125\/3 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16639, -66571, -149791, -266299, -416095?\n\"Answer: -16644*a**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p + 16. Let c(r) = -1464*r**2 + 6*r + 560. Let w(a) = -c(a) - 8*t(a). What is the first derivative of w(y) wrt y?\nAnswer: 2944*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*s**3 - 27*s**2 + 41*s**2 - 90 + 92 - 35*s wrt s.\nAnswer: -72*s + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/2 - (-2 + -1). Suppose 3*a - 2*a = q. Let j(v) = -v**3 + 3*v**2 + 7*v - 6. What is the remainder when a is divided by j(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/5 + 28*p**3\/5 - 98*p**2\/5 + 72*p\/5.\nAnswer: -2*p*(p - 9)*(p - 4)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 + 80. Solve -2*z = n*g - 9, -g = 4*z + 2*g - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 1, b: 4}. What is prob of picking 2 b and 1 f?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -150*u**3 + 9*u**2 - 3*u + 22. Let b(i) = -37*i**3 + 2*i**2 - i + 5. What is 9*b(l) - 2*r(l)?\nAnswer: -33*l**3 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8736563 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2197)\/26*(0 + -2) - -1 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1722 - 168.8278. Which is the closest to x? (a) -2\/7 (b) -3 (c) -4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -h**6\/2 + 3*h**5 - 172*h**3\/3 - 173. Find the third derivative of s(i) wrt i.\nAnswer: -180*i**2 + 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 = g, -g + 9 = 4*g - 2*l. Let c be (-2)\/(g + 1)*0. Suppose 5*r + c*r - 80 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + sqrt(20)\/(sqrt(16)\/sqrt(4))*1 + -1))**2.\nAnswer: -72*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 199\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24264 + -14739. What are the prime factors of f?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/9*2*711\/58776*-186.\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81129.244 + -81373. What is g rounded to 0 decimal places?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694812 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2.1 (c) 0 (d) -1 (e) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1691 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 9) to base 7\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167 - 6077 = -180*l + 490 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/7 - 38*a**3\/7 + a**2\/7 + 38*a\/7.\nAnswer: -a*(a - 1)*(a + 1)*(a + 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.14 + 3.1400183. Round d to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1324*f - 910*f - 27 + 28 to the form m*f + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 4*t + 86 + 110 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 78. What is the remainder when 33 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:51 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.802074t in grams?\nAnswer: 6802074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 23385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9263*g**3*m**2 + 18*g**3 + 18*g*m wrt m?\nAnswer: 18526*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -680 - -717. Is o <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 18*z**2 + 13*z + 46. Give h(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-2) - 5\/10. Let u be -2 - 0 - 1 - x. Suppose -2*q = s + 2 - 4, q = -s + u. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18346 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - h**2 + h**3 - h + h as s*h**3 + o + m*h**2 + y*h and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10665.57805 rounded to the nearest ten?\nAnswer: -10670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11 - 40 + 25 - 44 + 45*c**3 wrt c?\nAnswer: 135*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94850 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -70791748?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 238176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.12, -12464, 0.5, 1, 0.06?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74246 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*u - 193*u + 169*u + 252*u + 87*u.\nAnswer: 495*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 232 + 48 + 170 - 248 + 3*h**4 - 68*h wrt h?\nAnswer: 12*h**3 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 37*b**3 - 1108*b**2 - 121*b + 1815. Determine p(30).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 + 3. What is the third biggest value in -1\/5, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -62 + 8. Let y(l) = 315*l**2 + 91*l. Let h(r) = 7*r**2 + 2*r. Let g(c) = k*y(c) - 273*h(c). Let u(a) = 42 - 2*a - 42. Calculate g(u(m)).\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*o - 0. Suppose o*h + 4966 = -834. What is h rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**3 - 28708*i**2 - 71808*i - 43092.\nAnswer: 4*(i - 3591)*(i + 1)*(2*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115104663 divided by 3.\nAnswer: -38368221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10853?\nAnswer: 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d + 204. What is the smallest common multiple of k(-38) and 11?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 285. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/660 + f**5\/165 - f**4\/132 - 6*f**2. Factor y(u).\nAnswer: -2*u*(u - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 56. Let u be 333\/18 - (r\/(-6))\/3. Let n = 6 + u. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-150)*(-106650)\/(-8532)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12200 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8dab (base 16) in base 2?\nAnswer: 1000110110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3396141760.\nAnswer: 2, 5, 11, 31, 31123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26435 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (195\/(-12))\/((-1)\/(-4)). Let t = -64 - n. Solve 0 = -i + 6 - t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120, -183, -1004, -2601, -5232?\n\"Answer: -43*y**3 - y**2 + y + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - u - 2*u + 6*u - 2*u + (0*u + 3*u - u)*(7 - 4 + 1) + 2 - u - 2 + (0 + 1 - 4)*(-2*u - 5*u + 5*u))*(1 + 2 - 4).\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/(-14) - (-10)\/(-35). Suppose 4*h - 4*j = 3176, -2*j = -w*h - 6*j + 3970. List the prime factors of h.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9151797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 16, -3*c + 397 = d - 5*d. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:04 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1857*l + 28 - 40 + 12.\nAnswer: 1857*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 5:01 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 26*f**2 + 9*f - 99. Give x(-13).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*r**5 - 39*r**4 - 6*r**3.\nAnswer: -3*r**3*(r + 1)*(11*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from mfpfpvxrm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 5*h**2 - 2*h - 2. Let v(z) be the third derivative of -z**4\/24 + z**3\/6 - z**2. Let t be v(-3). What are the prime factors of r(t)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f. Let q(d) = -2 - 178*d**2 + 180*d**2 + 2. What is j(q(w))?\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1840064.04us to days.\nAnswer: 0.0000212970375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4342 + 979 = -4*n - 5*x, 2*x = -5*n + 4191. Suppose -1935 - n = -7*k. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + o. Suppose -5*j - 29 = -39. Suppose -f = -z - 2, 5*f = j*z + z + 16. Suppose 25 - 22 = -z*d. Give t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5657*p + 956038. What is u(169)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -15\/2*z**2 - 7*z**3 + 18*z + 15\/4*z**4 + 3\/5*z**5 - 63. Factor a(p).\nAnswer: 3*(p - 1)**2*(p + 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -244*k**3 + 7*k**2 - 2*k - 4. Let s(m) = m**3 - m**2 + m + 1. Give i(y) + 2*s(y).\nAnswer: -242*y**3 + 5*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 s, and 1 h when three letters picked without replacement from {h: 1, e: 1, j: 3, d: 1, i: 3, s: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 54.35249mg?\nAnswer: 54352.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 406873333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d - 115. Let v be x(-26). Factor -v*s + 50*s**3 - 55*s**3 + 35*s - 15*s**2.\nAnswer: -5*s*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 6.3. Let x = -4.7 + h. Which is the biggest value? (a) x (b) -7 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 8*u**2 + 25*u - 27. Determine x(-11).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 10*o - 2. Let u = -26 - -17. Let k be i(u). Let m be 2\/9 + k\/9. Let j(r) = 6*r**2 + r. Determine j(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 8, 23*v = 25*v - 2*a - 20. Suppose -330824 - 491176 = -v*l. What is l rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -25*i + 8253. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a\/a**(-17)*a))\/a**(-1\/15))**(-42) assuming a is positive.\nAnswer: a**(4186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -5, 12 in increasing order.\nAnswer: -5, 2, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423761 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68171 is divided by 6182.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-68)*6110\/9165.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*((sqrt(5) + 1)**2 + sqrt(5)).\nAnswer: -108*sqrt(5) - 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**4))\/(j\/(j*j**(1\/5)*j)))**(-29)\/(j**(-32\/5)\/(j**(-4)*j*j**(2\/5)\/j)) assuming j is positive.\nAnswer: j**(-148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51, -58, -69, -84, -103?\n\"Answer: -2*w**2 - w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071265 divided by 3?\nAnswer: 1023755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*f, -f = -2*f - 3*c - 10. What is the third smallest value in 0, f, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 18. Calculate z(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34716382098*j - 3*j**3 - 4*j**3 - 34716382098*j + 6*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*v - 196*v - 5 + 106*v.\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154d9 (base 14) in base 13?\nAnswer: 1b236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 18 + 2*j**3 - 17*j**2 - 4*j**3 + 12*j - 20*j. What is the remainder when 34 is divided by n(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 4*g**2 + 4*g + 4. Let z(n) = -n**3 - 3*n**2 + 3*n + 3. Suppose -2*u = o + 4*o + 1, -3*u = 4*o + 5. Give u*b(r) + 4*z(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 224, 201, 168, 125, 72, 9, -64?\n\"Answer: -5*b**2 - 8*b + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9 - 42\/(-18). Suppose 2*b = b + x. Find the third derivative of -7*o**2 - 2*o**b + o**3 + 4*o**3 - 15*o**3 wrt o.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 57, 224, 677, 1560, 3017?\n\"Answer: 24*m**3 - m**2 + 2*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20358150\/77 or 264392?\nAnswer: 20358150\/77","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 {p: 3, z: 10, q: 4, i: 3}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -6)*(-1)\/(3\/2). Suppose -z*r + 4*y - 42 - 196 = 0, 4*r - 5*y = -488. Is 2\/4 + r*(-60)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 + 23*i**2\/2 + 41*i - 52.\nAnswer: -(i - 26)*(i - 1)*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -951, -3797, -8541, -15183, -23723, -34161?\nAnswer: -46497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/6 - 6307*i**3 - 37847*i**2\/6 + 25228*i + 75686\/3 = 0. What is i?\nAnswer: -2, -1, 2, 37843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 184*p**2 - 384*p.\nAnswer: 4*p*(p - 2)*(p + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*k = 34031 - 3123, 4*k = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000010 + -2000102?\nAnswer: -100000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*x - 296, -x + 0*x + 5*d = -128. Suppose 3*p = 495 - x. Suppose 3*s + 27 = p. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 12:59 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:54 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 40 = 5*h. Suppose -6*c = -h*c + 6. Suppose 0*l + c*l = 2*z - 73, 5*l = -4*z + 91. What are the prime factors of z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 + 7*s**2 - 7*s**2 - 41*s**2.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(117) + sqrt(13) + 1 + 0.\nAnswer: 1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/9 + 952*h**4\/3 + 2854*h**3\/9.\nAnswer: 2*h**3*(h + 1)*(h + 1427)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2407442 and 3811.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(243)*-1)**2*5 - ((sqrt(243) - 1*sqrt(243)) + 1)))*2.\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2421 divided by -8002.\nAnswer: 2421\/8002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - 1) - (77 - (121 + -8))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2021*v - 603*v = -6552 - 538 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*l + 7, 11*c + 2*l - 5*l - 12 + 51 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c = -12*c - 88. Suppose -c*a - 14552 - 7228 = 0. What is a rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*p + 519 - 214 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 - 2*y**3 + 5*y**2 - 2*y**2 + (-5 + 2 + 1)*(-8*y**2 - 2*y**3 + 8*y**2).\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300194728 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from pvpxvpppvpkvp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5422*k + 32*k**2 - 5422*k)*(3*k - 6*k - 3*k) - 3 + 6*k**2 + 1 + 3*k**3 - k**3.\nAnswer: -190*k**3 + 6*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -18346 divided by 5\nAnswer: -18346\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817475 is divided by 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h**6 - h**4 + 2548*h**3 - 69687*h**2?\nAnswer: 840*h**3 - 24*h + 15288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329679820.\nAnswer: 2, 5, 3677, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 35579.16 months in millennia?\nAnswer: 2.96493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from wfwwwwfcwyycf.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 232319 = 63724. Suppose 2*s = 3*t + 48191, s - 3*t - b = 2*t. What is s rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 411 + -1878?\nAnswer: -1467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/2491 or 657?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khmsooobbmmkk. Give prob of picking 1 m and 1 o.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 7, r: 5, u: 6}. Give prob of sequence duru.\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17974891 and 1595.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 173 and -385 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2. Let v(b) be the first derivative of 26*b**3\/3 + 64. Calculate q(v(j)).\nAnswer: 2028*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 287*a**2*b**3*j + 32*a**2*b*j - 23234*a*b**3*j - a*b*j wrt a.\nAnswer: 574*b**3*j + 64*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.28 and 5.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467589?\nAnswer: 3, 155863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*y - 6583 - 9327 = -319*y for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -1\/5, 5, -0.1.\nAnswer: -6\/5, -1\/5, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6540 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 195, 280, 367, 456, 547, 640?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**9\/4536 + k**8\/840 + k**7\/630 + 13*k**3\/2 - 3*k. Let n(r) be the second derivative of x(r). Solve n(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6656.5 and -247.\nAnswer: 1644155.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10595339 - 7395333. Suppose 0*u + 2*u = 4. Suppose -4*m - u*b = -0*m + l, -4*b = -4*m - 3199988. What is m rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/14 and 55\/330826194?\nAnswer: 2315783358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34040 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 44\/(-6))\/(20\/156).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/24323 - -18801697\/218907. Let c = z - 86. What is the second smallest value in -4, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24339\/(-35) - (36\/(-15) - -2). Is (-2)\/(3480\/n + 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/1100*-48*5\/(-3). What is the closest to -2 in -1.4, 2, c?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197318, 197191, 197054, 196901, 196726, 196523?\nAnswer: 196286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19565164 a multiple of 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -24. What is the smallest common multiple of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 6:14 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -7. Let s(v) = 6 - 37*v - m - 11. Let i be s(-5). Calculate the highest common divisor of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*k - 10*k**3 + 19*k + (-3 + 3 - k**2)*(-k + 0*k + 3*k) + k**3 + 2*k**3 - 2*k**3 - 2*k**2.\nAnswer: -11*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20876406223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-1932)\/112)*(-30)\/4*1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(378\/748 + 7\/(-14)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.39999887 - -1.4. What is p rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 321630\/23 + -13984. What is the closest to 0.1 in 24\/11, 0, i, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222221 (base 5) to base 15.\nAnswer: b891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -193, -448, -757, -1138, -1609, -2188?\n\"Answer: -3*x**3 - 9*x**2 - 207*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -6897608\nAnswer: -6897607.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 330*k**4 + k**3 - k - 10. Let x(n) = -n**4 + n**3 - n - 1. Let o = -867 - -866. Let g(b) = o*x(b) + i(b). Differentiate g(y) with respect to y.\nAnswer: 1324*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezep when four letters picked without replacement from {w: 1, e: 5, c: 1, p: 2, z: 5, k: 2}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h. Let q be p(2). Is 15 a factor of q\/21 + (-345)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19488, -19451, -19400, -19335, -19256, -19163, -19056?\n\"Answer: 7*d**2 + 16*d - 19511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 - 70 = -121*d - 50 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 308019.\nAnswer: 30801.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(1 + 1) + (-25 - -28). Let m = k + 69. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03276 - -0.59516. What is q rounded to 2 dps?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -14\/13, -2, 2?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19393 (base 11) to base 13\nAnswer: -c436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 3.9, 0.3, -2\/3 in ascending order.\nAnswer: -2\/3, 1\/7, 0.3, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-95)\/(-15) + (-8)\/6. Let n be 2\/(-4)*(-2 + 8)*-4. Suppose 3*g - 24 = v*k - 2*k, -4*k = n. Let r(o) = -2*o**2 + 5*o + 7. Determine r(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1566?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oosooskskkskkkk. Give prob of sequence oso.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 10*o**2 - 13*o + 25. Give b(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47c55 + -1?\nAnswer: 47c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565 by 3.\nAnswer: 565\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 62\/9 (b) 2\/3 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 41\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2192296 and 9500.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.1 + -5. Let b(c) be the first derivative of -c**3\/3 - 3*c**2 - 5*c + 1. Let m be b(-6). What is the third biggest value in m, x, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*x**4 - 10*x**3 - 55*x?\nAnswer: 228*x**2 - 60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 19200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 251917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2843*d**3 - 2 - 82222*d + 82222*d.\nAnswer: -2843*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, r: 5, b: 1, t: 1}. Give prob of picking 1 b, 1 f, and 1 r.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28028 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -433 divided by 1842060\nAnswer: -433\/1842060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f**2 + 3*f + 61. Let d(s) = -4*s**2 - 2*s - 62. What is -6*d(t) - 4*h(t)?\nAnswer: -4*t**2 + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10552 is divided by 1317?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 - 147 - 160 - 6*v - 44 + 4*v to the form p + x*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7066528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 5*w**2 - 9*w + 256. Let q be i(0). Suppose 5*s - 10 = 30. What is the greatest common factor of s and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3647445?\nAnswer: 3, 5, 73, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101836359 to the nearest integer?\nAnswer: 10091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031423 is divided by 14948.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.28419054233 - -4?\nAnswer: 8.28419054233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 14*s**2 - 26*s - 31. Give t(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 a factor of 800716646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (12 - 2) - 6) + -22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 921391952?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -864?\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 8, j: 2, n: 5}. What is prob of picking 1 i, 1 n, and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2595 + -9315. What is g rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25553284 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 + 10*i**2 + 13 - 9 + 5*i**3 wrt i.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 53 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*x**3 + 141*j**3*x**2 + j**2*x**3 + 3*j**2 - 8*j*x**3 wrt j?\nAnswer: 12*x**3 + 846*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 2*p**3 + 2*p**3 + (3*p + 0*p - 2*p)*(-24*p**2 + 13*p**2 - 37*p**2) + p**3 + 5*p**3 + 2*p**3.\nAnswer: -35*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 7*n + 6*n + 10 = 0, -3*n = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6326 + 0.7326. Is 3791 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29773537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 0. Let p = 5.00006 + x. What is p rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 18, 0.1, -5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 475888809 or 475888808?\nAnswer: 475888808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1437*k**3 + 4701*k - 4701*k + (0*k**2 + 0*k**2 + 2*k**2)*(-k + 3*k - 5*k).\nAnswer: -1443*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 0*u)*(7 - 13*u**2 - 7) - 2*u - 3*u**3 + 2*u - u**3 - 6*u**3 + 4*u**3 + (0*u**3 + 2*u**3 - u**3)*(2 - 5 + 1).\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069087 times 0.1?\nAnswer: -0.0069087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -0.01 (c) 14\/9 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 4. Let n be z(5). Let f = n - -8. Suppose -5*l = 4*i - 44, -f*l - i - 7 = -3*l. Calculate the remainder when 23 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + w. Let r(z) = -z**2 - 2*z - 1. Let n(y) = 4*p(y) + 4*r(y). Let s(x) = 59*x**2 + 21*x + 21. Give -11*n(l) - 2*s(l).\nAnswer: 14*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 448302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/77760 and -107\/1080000?\nAnswer: 9720000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 79*q - 3. Let n(i) = -162*i + 5. Determine 6*n(v) + 11*r(v).\nAnswer: -103*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1326192*c**2*q**3 + 198*c*q**3 - 3*q**3 - 62*q**2 wrt c?\nAnswer: 2652384*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-6) + 2\/(-4). Suppose 3*b = -a*s - 27, b = s + 4*s - 33. Let k be (b\/26)\/(2\/(-4800000)). Round k to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 708 + -705. Let v be 12 - -2 - (4 + -2). What is the first derivative of s**r - v - 11 + 1 - 8*s**3 wrt s?\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -27*r**5 - 522*r**4 - 156*r**3 + 282*r**2 - 57*r = 0.\nAnswer: -19, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 491009 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 16 = 4*q. Let c be 9\/(-6)*(-1 + 5). Let z(l) = 2*l - 1. Let x(i) be the first derivative of -2*i**2 + 2*i - 1. Determine c*x(b) + q*z(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*15\/5*(-3)\/18?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -338339.\nAnswer: 676678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 1. Let f(r) = -r**2 + 5*r + 5. Let l(i) = -f(i) + 5*n(i). Let t(z) = -5*z**2 + 2994 - 2994. Calculate 22*l(p) + 4*t(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -94237.5 rounded to the nearest one hundred?\nAnswer: -94200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -210b + 45?\nAnswer: -2096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25101 and 814.\nAnswer: 20432214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 5:54 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 165 + 1412. Let u = -79 + m. Which is the third smallest value? (a) u (b) 0.1 (c) -4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 970 + -63985\/66. Let g = -1\/33 + k. Which is the second smallest value? (a) -5 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 15 - (0 + 15) - (19 - -3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:58 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pflpffskkpfkkffdsl. What is prob of sequence pskf?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12))\/((-4)\/2)*-12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Let s be 7\/14*2*5. Let z(a) = -a + 3*a - s*a. What is z(f(g))?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 87, 238, 457?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/3 - 10*c**3 + 53*c**2\/3 + 28*c.\nAnswer: c*(c - 28)*(c - 3)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 2}. What is prob of sequence ng?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 14. Suppose 7 = -4*u + 4*d - 33, m*d = 0. Let l = u - -12. Solve 4*z - 13 = -4*t + 19, 5*z = -l*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 607 - 170. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2 - -21)) + (56 - 58 - 5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 58, -971, -2000, -3029, -4058?\n\"Answer: -1029*n + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -650, -637, -598, -521, -394, -205, 58, 407?\n\"Answer: 2*w**3 + w**2 - 4*w - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4*p**2 + 3*i**3*p**3 - 2*i**2 - 6*i*p**3 + 2*p**3 wrt i.\nAnswer: 24*i**2*p**2 + 18*i*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -12 (c) -70 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)*-2)\/(2*sqrt(108)) - (-2 + sqrt(34)\/(6*(2*sqrt(2) + sqrt(2))))**2.\nAnswer: -1313\/324 - 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - r + 4. Let g(c) = -1. Let j(q) = 5*g(q) + o(q). Let y(b) = -b**2 - b - 1. Let t(v) = -j(v) + y(v). Let u(i) = i**2. Calculate t(u(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 372 is divided by 196?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 853 - -155. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a litre in millilitres?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 - -1.79\nAnswer: 3.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 26*g - 89. Let u be p(5). Suppose q = -5*j + u, -q - j + 0*j = -4. Let f(z) = 19*z**2 + z - 1. Give f(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -51. Put t, 5, 0, 4 in increasing order.\nAnswer: t, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*m**4 + 5553490*m**3 + 222093262*m**2.\nAnswer: 384*m + 33320940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssddssssssd. What is prob of picking 1 d and 3 s?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -29*i + 115 + 283. Suppose 4*u = 3*g + u, -2*u = -5*g. Suppose g*m - 128 = -2*m. What is the greatest common divisor of i and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685045.\nAnswer: 5, 19, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:15 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58 - fd?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 0. Suppose 3*h + 2*i + 12 = 0, 4*h = -3*i + t*i + 7. What is the units digit of h\/4 - (-29)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14621125773.9943 - -14623525206. Let r = 2399533 - h. Let v = r - 101. Round v to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 3*c = -1, 6*w + 4*c - 6 = 9*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 5*g**2 - 8*g - 10. Let j be k(1). Solve -d + 3 = 0, 2*a + 2*d + j = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 11 = -4*n, l + 4*l = 5*n + 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -569 divided by 1\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/21*(-30)\/(-20). Let g be -15*(3 + 21\/(-9)). Let w be (-30)\/9 + (-7 - g). Put v, w, 2\/11 in ascending order.\nAnswer: w, v, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = -36. Is (-952)\/r - (-3)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 44*p**6\/5 - 48*p**2 + 5*p + 5. What is the derivative of w(m) wrt m?\nAnswer: 1056*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away 18223086483?\nAnswer: -18223086499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23747.774 - -23547. Let n = -0.726 + k. What is n rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438081.\nAnswer: 3, 7, 23, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-605)\/(-2420)*(1 - (-1)\/11).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1) + (33 - 31). Solve 2*p + r = -4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -1859 (c) 4\/9 (d) -2\/9 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2826.634 rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -60762.2 times 12?\nAnswer: -729146.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 6) to base 5.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*n - n + 163, 0 = 3*n + 3*u - 414. Suppose -c - 88 = 3*k, 0 = 8*k - 3*k - 2*c + n. Let r = k + 35. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1396*b - 259. Is i(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**14*((l*l*(l**(15\/7)*l*l)\/l)\/l)\/l assuming l is positive.\nAnswer: l**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.0206539\nAnswer: 0.0206539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - r - 22 = 3*r, -4*v - 4*r + 8 = 0. Suppose 37*q = 42*q - v. Solve 6 = w + q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10323175 and 1957.\nAnswer: 1957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5565 by -3.\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = -17*v + 72*v - 936. What is the remainder when 1186 is divided by v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4) - 0)*5340\/(-801).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*f**3 + 172*f**2 + 1359 wrt f?\nAnswer: -15*f**2 + 344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -120*t + 155. Let g(l) = -10*l + 13. Let z(s) = 35*g(s) - 3*i(s). Let c be z(4). Solve -4*h + 2*k = -24, 4*h + 0*k - c = 5*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 34. Let t be ((-6)\/9)\/((56\/(-108))\/j). Let c(b) = 17 - 2*b - 8 - t. Let n(u) = 2*u. Determine c(n(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y + 1. Let h(l) = l**3 + 16*l**2 - 14*l + 35. Let b be h(-17). Let x be c(b). List the prime factors of (12 - 13)*x*2.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*p - 332 - 158 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 3) + (-27)\/(-12). Let f be 4\/(-26) - 88\/(-572). Factor -h*m**4 + 0*m + 3\/4*m**3 + f - 1\/2*m**2.\nAnswer: -m**2*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 318453*a**2 - 2*a - 80435 wrt a.\nAnswer: 636906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 803901852 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/8607 and 37\/906.\nAnswer: 17214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*l**4 + 12*l**4 - 50*l**4 + (2*l + 2 - 2)*(1 - 1 - 2*l**3).\nAnswer: -78*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.759132 rounded to three decimal places?\nAnswer: 9.759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 45\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10)\/(48\/(-180)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 + 71*g**2 + 332*g + 56. Let s be t(-30). Let p = 0.4 + -0.9. What is the biggest value in s, 0.07, p?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = -2*w, -p = 5*w + 12. Factor 18*j - 27 - 404*j**4 - p*j**3 + 24*j**2 + 407*j**4 - 10*j**3.\nAnswer: 3*(j - 3)**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75*(-64)\/(-4800)*(-4)\/94.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*b*(b**6\/b)\/b*b)**20 assuming b is positive.\nAnswer: b**(1360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - 2.6. Let j = -9859657.499959 + 9859662. Let p = f + j. Round p to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*c - 24, 0 = 4*j - 2*c - 40 + 42. What is the third biggest value in 4, j, -3\/20, 5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3865 - 1738. Suppose 1395 = 3*r - b. Suppose -4*l + 6*l = r. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -29. Let j = 0.04 + -0.34. Let w = h - j. Sort -0.3, w, -4 in decreasing order.\nAnswer: w, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, -0.4, 4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 1 - 8 - 10*z**2 wrt z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + d + 0*d)*(-24*d**3 - 10*d + 10*d) + 2 + 2*d**4 - 2 as m*d + c*d**3 + s + a*d**4 + h*d**2 and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*i**3 + 86*i**3 - i**2 + i**2.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*z + 3, 2*q + q + 6 = 3*z. Let v be (-14)\/q*3\/(-2). Suppose 2*w = v*w - 20. Let k(u) = u**3 - 4*u**2 + u. Determine k(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 44\/5 of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(192) + sqrt(192) + sqrt(192))*-6 + 1 + 5)*-6)**2 + -1.\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40\/137 in 0.29, -0.02, -4?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -91995?\nAnswer: 92000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) 5 (c) 0.05 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, 15, 109, 241, 411?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 11:33 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddy when three letters picked without replacement from {l: 1, y: 1, d: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-64)\/10)\/((-1)\/5). Let d = z + -17. Suppose -4*r + q + d = 0, 3*r + 4*q = -r + 40. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4074503.816154 less than -2.9?\nAnswer: -4074506.716154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/16 + -3)*(-20)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-60)*(-85)\/(-153)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1558? (a) -1\/3 (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmdibbdddmmt. What is prob of sequence immb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -58 (c) -0.041 (d) -4\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-6) - (-1482)\/(-9360)*-10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*w, 2*d - 2*w = 7*d. Suppose v - m + 8500001 = d, 2*v + 3*v + 4*m + 42499996 = 0. What is v rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/5 - 40*u**4 - 12831*u**3\/5 - 370872*u**2\/5 - 5030208*u\/5 - 26085888\/5 = 0. Calculate u.\nAnswer: -111, -24, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6915 - 5635. Calculate the greatest common divisor of 40 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 110609002 and 0.3.\nAnswer: 110609002.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458848 divided by -1729424?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by 70.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 12. Let o be -16 + 6 + 0 + 6. Sort o, f, 10 in decreasing order.\nAnswer: 10, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**3 + 3*p + 1. Let d = -24 - -28. Let z(w) = 877 - 876 - 7*w**3 + d*w - 2*w. Give 5*n(q) - 6*z(q).\nAnswer: 2*q**3 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 12606 = 7*t, 622 + 4792 = 3*t - 5*q. Is 58 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:52 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -4 - (-1 - 187)\/2. Let y = z - 77. What is the remainder when 91 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 t when four letters picked without replacement from {p: 4, t: 7}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 728 - 719. Let i(t) = -2*t - 11. What is i(n)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 3*c**2 - 2*c)*(12*c**2 - 801*c + 8*c**2 - 18*c**2) + c**3 + 2*c**4 - c**3.\nAnswer: -4*c**4 + 2403*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/9 + 1478*h**4\/3 + 247492*h**3\/3 + 3526700*h**2\/9 - 4113178*h\/3 - 1680910 = 0.\nAnswer: -2035, -177, -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/11220 and 43\/99.\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3950 (base 16) in base 6?\nAnswer: 151532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318001634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -71. Let s be (-82)\/4 - (3\/6 + i). What is the units digit of -3*7\/(s\/190)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((2 - 1 - 1) + -2 + 4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*l*m + 1041*l + 41975*m - 2 wrt l?\nAnswer: -5*m + 1041","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-17)\/((-85)\/30) + 0 and 122?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4939*l**3 - 1112*l + 8180455 wrt l.\nAnswer: -14817*l**2 - 1112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = -2*n - 24, -488*n + 486*n = -3*j - 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + 64. List the prime factors of p.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + (sqrt(187) - 2*sqrt(187)*1)))\/(-1*sqrt(176) + sqrt(176) - sqrt(11)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -520*u + 531*u - 898. Solve 82*b + 44 = u*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -130*v - 690. Calculate q(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012342684 rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/14*6\/8. Suppose 10 = -v*q + 8*q. Is (1*q)\/((-16)\/(-1016)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 + 3*h + 3. Let a(n) = -4*n**2 - 2*n - 2. Let g(j) = -3*a(j) - 2*v(j). Let t(y) = 2*y**2. Give g(t(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 - 36. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - 3\/5. Let n(o) = -3. Let j(c) = 3*c**2 + c - 17. Let m be j(4). Let v be 1\/4 + m\/(-28). Let b(q) = -q**2 + 1. Give r*n(a) + v*b(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (153\/6)\/1*(-4)\/6. Let c = r + 192. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.1. Let p = -1129 - -1126. Which is the closest to m? (a) 3\/2 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 13*d**2 - 4*d + 12. Let r be o(-6). Suppose r = -5*n - 21 + 1. What is the nearest to -48 in 2\/5, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 4*b**2 + b**2)*(-3 + 4 - 3) + b**2 - 3*b**2 + 0*b**2 + 9 + 13*b**2 - 9 + (-44 + 69 + 47)*(-b**2 + 0*b**2 + 2*b**2).\nAnswer: 79*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 17*t**2 + 3*t + 7. Determine v(-17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7721 - 7717. Let g(h) = h**2 + 3*h + 1. Let w be g(-4). Solve -s*o + 3*u = 1, o - 2*u - 1 = -w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484851 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/((-1)\/(-3)*-3). Let j(r) = 5*r**2 + r - 4. Let u be j(4). Let o = u + -56. What is the highest common factor of a and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 59 = -4*r, 0 = -6*r + 4*r - 4. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/8 - 59\/(-2). Let d be ((-4)\/(-6))\/((-5)\/l). Let v = 13 - d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**7\/4200 + y**6\/1800 + y**5\/300 - y**3 - 22*y. Let x(w) be the second derivative of o(w). Let x(m) = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (46 + (3 - 20))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -15 - 18) + 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose -16 = -6*s + 2*s. Suppose -3*t = -12, -s*w + r*t = 6*t - 532. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 - -1014. What are the prime factors of r?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 31. Let n be v(18). Suppose 353 = 4*o + 31*f - 34*f, -3*o - n*f + 301 = 0. What is the highest common divisor of o and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/176 and 85\/21.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 173, 577, 1357, 2639?\n\"Answer: 21*z**3 - z**2 + 10*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let l(a) = 4*a - 1. Let n be l(w). Suppose -4*x + n*x = 63. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 456, 477, 520, 591, 696, 841, 1032?\nAnswer: 1275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -9*h**2 - 474*h - 2064. What is d(-47)?\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*y + 5*g, 47 = 4*y + 2*g - 3. Suppose 33 - 4 = 5*s - 3*f, 2*s - 2*f - y = 0. Suppose 256 = s*n - 304. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -250, 300, 1788, 4682, 9450?\n\"Answer: 78*c**3 + c**2 + c - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21974 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7903940 and 1265?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 730742.7 weeks?\nAnswer: 7365886416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (583 - 2053 + 981)*(-j**4 + 0*j**4 + 4*j**4).\nAnswer: -1467*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 8736 + 401*n**3 - 8736 + 329*n**3 - 696*n**3.\nAnswer: 34*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3025) + sqrt(3025)*1 - sqrt(3025) - sqrt(3025))*2 - sqrt(3025))\/(-4*(sqrt(5) + sqrt(80) + sqrt(5))*1).\nAnswer: 11*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -29736*l + 14866*l + 14871*l. Let q(x) = -377*x. Give q(p(t)).\nAnswer: -377*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -24. Let j(l) = 16*l**3 + 6*l**2 + 5*l - 12. Calculate the smallest common multiple of k and j(2).\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 78, 117, 190, 303, 462, 673, 942?\n\"Answer: k**3 + 11*k**2 - k + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(91\/(-13)*(-30)\/700).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 18 - (2 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1 - (-403)\/351).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 3*z - 3. Let j be c(-5). Let u = j + -5. Solve 4 = u*y - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(8\/(-3) + 3). Let n(h) = -6*h**2 + h + 2. Let l be n(-1). Let f be 14\/(-77) + l\/(-88). Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133996997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(0 - (-5 + 6)) - 4. Let x(t) = -14*t - 13. Let p(l) = -3*l - 3. Let z(o) = -9*p(o) + 2*x(o). Let r(n) = 2*n**2 - 5*n. Give i*r(a) + 6*z(a).\nAnswer: -2*a**2 - a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 93, -0.2 in descending order.\nAnswer: 93, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 56. Let y be 1 - (3 - 2) - b. Solve 4*z = 3*z - y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255 and ((-12)\/(-6))\/(0 + (-10)\/(-135))?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 8923599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 295 = i - 3*p, 2 = 2*p. Calculate the remainder when 144 is divided by i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45880 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.083*-0.3.\nAnswer: 0.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(-190) - (134\/(-20))\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20837867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -3\/4847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a8 (base 11) in base 3?\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 2*j**2 + 9*j + 18. Give p(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 2.4.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 5*b**9\/252 + b**5\/20 + b**2. What is the third derivative of x(f) wrt f?\nAnswer: 1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4))**47\/(h*h*h**(2\/3))**48 assuming h is positive.\nAnswer: h**(-559\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 3, -1, -3 in descending order.\nAnswer: 72, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (33 - 22) + (13 - 22).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*f**5 - 2523*f**4 + 27588*f**3 - 100788*f**2 + 139488*f - 55872 = 0. What is f?\nAnswer: -291, 2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 11*f + 2*f)*(1 - 2 + 0)*(-2 - 1 + 4).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402234 and 366?\nAnswer: 402234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21933847 rounded to 3 decimal places?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -6*g - 152. Find the third derivative of 4*n**4 - 2*n - 78*n**5 - n**3 + 78*n**5 - g*n**2 - 4*n**4 + 16*n**6 wrt n.\nAnswer: 1920*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38924 and 2.3.\nAnswer: 89525.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22.0886 and 25.\nAnswer: 47.0886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 5*q**2 + 4*q - 6. Let f be g(5). Suppose -2*l + 12 = 2*k + 2, l = 2*k + f. Factor 0*x**3 + 0*x**2 + l*x**2 - 9*x**2 - x**3.\nAnswer: -x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4\/4 + 2*b**3 + 3*b**2 + b - 2. What is the remainder when 34 is divided by c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-7) + 36\/7. What is the tens digit of (-186)\/2*m\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**3 + 2*m**2 + m. Let p be (2 - 21\/12)*-4. Let h be s(p). Let j be ((-12)\/(-15))\/((-6)\/h). Is -13 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -2, -0.05, -1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1575177+-95.76\nAnswer: -1575272.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/(sqrt(4) + sqrt(4)*-1 + sqrt(4)) - (sqrt(72) + -3)) + 3 + -6*(sqrt(2) + 1 + 4))**2.\nAnswer: 528*sqrt(2) + 818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(5 + sqrt(143)\/(sqrt(44) - sqrt(11)) + 0).\nAnswer: -50 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arjrraajjjajjrjaajj. Give prob of picking 2 j.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 3. Let z be r(3). Let l(f) = f + 10. Let w be l(z). Let d = -16 + 16. Solve w*o - 5*t = 6, 6 = -d*t + 3*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 174*r - 173*r. Let b(j) = j + 1. Let i(l) = 2*l**2 - 4*l + 6. Calculate r*i(g) - 5*b(g).\nAnswer: 2*g**2 - 9*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l)\/(l*l**(-2\/7)*l)*l**(-1)\/l**(-2\/9) assuming l is positive.\nAnswer: l**(-283\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -24983 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 - 68*r**2 + 68*r**2 + r as a*r**2 + z*r**3 + x*r + n and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4460 + 4552. Solve -c*g + 85*g + 28 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcr when three letters picked without replacement from {l: 8, k: 1, p: 5, c: 2, r: 2}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/13 + 616*i**3\/13 - 11814*i**2\/13 - 25468*i\/13 - 13040\/13 = 0. Calculate i.\nAnswer: -326, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 645270 or 6\/7?\nAnswer: 645270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*l + 58 + 3 = 0, -5*i + 3*l = -89. Suppose 0 = -3*f + 5*v - i, -f = 2*v + v - 17. Let p(h) = 2*h**f + 2*h**2 - 7*h**3 - 3*h**2. Determine p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 166*v + 8735. Calculate f(42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-21)*3*(-10)\/30.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 509 - 452. What is the highest common divisor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-15)\/(-2))*(4\/(-12))\/((-113)\/(-678))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*o + 61, 11 - 18 = -k + 4*o. Solve 11*r - k + 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63188a7 + -8?\nAnswer: 631889a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32)\/(-7) - 1) + 204\/476. Solve -4*f = -4*a + p, 0*a + 2*f = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {z: 5, t: 3, o: 6, e: 1, i: 1, n: 4}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 4*u**2 + 3*u + 4. Let z(o) = o**2 + o - 10. Suppose -3*j = -8*j. Let m be z(j). Let w be ((-2)\/(-3))\/(m\/(-75)). Calculate q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:20 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25608*z - 25319*z - 6069 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77000, 77029, 77078, 77147?\n\"Answer: 10*g**2 - g + 76991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -199965 at least as big as -199965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -1. Let d = -185 - -182. Sort 5, d, u.\nAnswer: u, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -11. Let i = -345 - -349. What is the third derivative of f*g**i - g**2 + 63*g**3 + 0*g**4 - 63*g**3 wrt g?\nAnswer: 432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150 - -78. Is 38 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-28)*((-93352)\/(-5001))\/((-16)\/(-5))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468474137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -180697 - -672?\nAnswer: -180025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3563.25, -4\/11, -4 in decreasing order.\nAnswer: -4\/11, -2, -4, -3563.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) 323 (d) -2\/5 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 13*r**2 - 28*r + 23. Calculate w(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 - b**2 + (-4*b + 3*b + 3*b)*(-2*b + 0 + 0) + 5*b - 5*b - b**2 + 2*b**2 + 2*b**2 - b**2)*(0*b**2 + 3*b**2 - 2*b**2).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**5\/60 + 5*m**4\/6 + 17*m**3\/6 - 38*m**2. Let q be k(-19). Let n be ((-10)\/4)\/((-1)\/2). Sort n, -1, q in ascending order.\nAnswer: q, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595033401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 15.438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:11 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0379 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 35*v - 37. Suppose -3*j - 5*p = 38, 7 + 3 = -3*j + 2*p. Let n(z) = -19*z + 20. Let h(u) = j*b(u) - 11*n(u). Determine h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877850250 to the nearest integer?\nAnswer: 29629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8430045*i - 8430007*i = 494 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-6))\/(4\/6*2475\/550).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 1. Suppose 0 = -3*u + f - 5, -3*f = 1 + 2. Let p be j(u). Is (p - -63) + (-33)\/11 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704)*-1)\/sqrt(4))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1561 and -140.\nAnswer: -1701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*g + 344 = -268*g. Calculate the remainder when g is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662430147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/13)\/r*r*r**19)\/(r**(1\/19)\/(r**(-3\/17)\/r*r)) assuming r is positive.\nAnswer: r**(83664\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -29, -4, -2, 4.\nAnswer: -29, -4, -2, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10704 is divided by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 + 80. Let o = -43.8 + 21. Let h = o - u. Round h to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - 221. Calculate the common denominator of 5\/(b\/117) + 0 and -45\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2364 + -1376. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:33 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 4. Let g be k(7). Suppose -2*r + 39 = g*o - 5, -3*o + 41 = -r. Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456101689 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 2, c: 4, v: 3, i: 1, m: 3}. Give prob of picking 1 z and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4094, -0.2, 3\/8 in descending order.\nAnswer: 2\/3, 3\/8, -0.2, -4094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1535 - 1538. Let s(p) = 2*p**3 + 8*p**2 - 22*p - 13. Let w be s(-6). What is the closest to 0 in -2\/3, w, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 1255076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 22*x + 2. Let u(c) = -c**3 + c**2 - c. Let h(g) = r(g) + u(g). List the prime factors of h(7).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3 + 52 = 4*h, -3*q - 4*h = -31. Suppose -15 + 6 = -q*i. Let k be (1 - (-738)\/(-750))*i. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-420)*-7*5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 3*r - 3. Let a(v) = 2*v**2 + v - 1. Let j(p) = 8*a(p) - 3*i(p). Let d be j(0). Let k = 30 + d. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 u when three letters picked without replacement from nnnunnuunnnnnnnunnu.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 11*f - 63. Let o be d(15). Let x be 3\/9 + o + (-10100)\/(-12). Suppose -3*l - l + 3356 = 2*q, l = q + x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1765, -3425, -5085, -6745, -8405?\n\"Answer: -1660*h - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 2) to base 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 300\/(-31500)*(-5)\/3\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by 10236.\nAnswer: -23\/5118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107311*i**4 - 1046*i**2 - 19*i.\nAnswer: -2575464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112111 - -121221?\nAnswer: 11011102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 3, -1, 701 in descending order.\nAnswer: 701, 38, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547082 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9125 - -2.7754. What is k rounded to 2 decimal places?\nAnswer: -2.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/3 - 67*u\/3 + 330 = 0. Calculate u.\nAnswer: 22, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*s = -3068 + 27177, -2*s + 24107 = 3*h. Suppose -21275 = 4*k - h. What is k rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 + 125*l - 431. Give f(38).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -8*s - 36. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 244 - 172. Let p = 573 + -565. What is the greatest common divisor of q and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1 + 7*a**3 - 10*a + 10 + a - 2. Let n(q) = 3*q**3 - 4*q + 4. Let h = 3 - 7. Suppose 2*c - 19 = g, 30 = c + 2*c - 3*g. Calculate c*n(d) + h*k(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*l**4 + 1235*l + 17*l**3 - 618*l - 617*l in the form g*l**3 + k + x*l + d*l**4 + r*l**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 3*p**2 + 10*p + 24. Let z be j(-4). Suppose 4*t + d + z*d = 704, 4*t = 4*d + 704. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 254958.4ml to litres.\nAnswer: 254.9584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3*(-84)\/8. Let t be d + (-2 - (-48)\/8). What is the highest common divisor of t and 704?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 1\/2, -14, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4181, -8347, -12509, -16667?\nAnswer: -20821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, -5\/4, 0, -0.59 in descending order.\nAnswer: 143, 0, -0.59, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - 9. Let b(k) = 3*k + 8. Let x(c) = -3*b(c) - 4*o(c). Let t be x(10). Suppose 4*d - 13 = f, -f - t*d + 5 = -6. Solve 8*a - f*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1767979 is divided by 494?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 476*d**2. Let i(h) = 12*h + 750. Let l(a) = -6*a - 450. Let q(n) = 3*i(n) + 5*l(n). What is q(y(u))?\nAnswer: 2856*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 2*m**2 - 9*m**3 + 6*m**2 - 4*m**2 - 3*m**2 + 9*m.\nAnswer: -3*(m - 1)*(m + 1)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 2476941.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4767\/90 + (-9)\/30)\/((-6)\/(-927)).\nAnswer: 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - -1) + (-29410)\/28600 and -69\/4.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/15)*r)**(-26)\/(r**(-12\/11))**(-11) assuming r is positive.\nAnswer: r**(-544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/16 - 210*(-770)\/(-1294944). Is w <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 5 + (-54)\/18. Solve -l - k*s = -3*s - 1, l + s + 9 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 895700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*50\/(1200\/(-18))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**8\/216 - 844*y**7\/315 - 181*y**6\/135 + 3213*y**2 + 1. Determine w so that m(w) = 0.\nAnswer: -2\/7, 0, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 14*m - 14*m)*(1 + 194*m - 194*m + 11*m**2).\nAnswer: -55*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2424 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170332.\nAnswer: 2, 23, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)*-1)\/sqrt(6))\/(-5*(sqrt(4) - sqrt(4)*2)) + 5 + (-4*sqrt(78)\/(sqrt(24)\/sqrt(4)))**2.\nAnswer: -sqrt(13)\/5 + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1887116392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 64197507.\nAnswer: 1\/21399169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2744.\nAnswer: -5\/2744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c + 60. Let y(f) = f**3 + f - 8. Let t(q) = -6*q**3 + 12*q**2 - 3*q + 22. Let m(d) = -t(d) - 5*y(d). What is m(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 - 514*i.\nAnswer: -2*i*(i + 3341)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -5*b. Suppose b*t = -t + 9. Suppose 3*y = -3*z + z + 11, 3*z - 4*y = -t. Calculate the highest common factor of z and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36227 and 901255.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 748997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91831283.\nAnswer: 83, 1106401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 5*s - 11, 3*o - 2*s = 2 + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 11918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(550)\/sqrt(2).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/600 and -17\/15222.\nAnswer: 1522200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 11. Let v = l + 35. Let r = v - 42.983. Round r to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 13*m**2 + 16*m - 1. What is k(12)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11761 is divided by 3810.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -87.9624 and -2.\nAnswer: -89.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6 + 1 + (-381)\/18. Let h = o - -20. Is h < -1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01786 rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.017 + 0.253. Let y = k - 0.37. What is the smallest value in y, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 55.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3204*t. Let k(g) = g**2. Give k(f(y)).\nAnswer: 10265616*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217317 divided by 6.\nAnswer: 72439\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 11. Let r = 3 + h. Let k(o) = -3*o + 4 + 3*o - o. What is k(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 5*c + 2*j = -1800, 5*c = -2*j + 3016. Let h = c + -329. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2544 and 1578488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4 - 4 + 2*k**2. Let w(l) be the second derivative of -l**7\/2520 + l**4\/4 - 2*l. Let j(m) be the third derivative of w(m). Calculate -2*f(d) - 3*j(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (24\/(-2))\/(22\/5) and (-390)\/(-154) + (-2)\/(-11).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406401014 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: Which is the nearest to -0.31? (a) 1 (b) 3 (c) 1\/675 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -36*g**2 - 21*g + 5. Let y = 198 - 206. Let i be l(y). What is i rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 5197*g + 41586. Calculate f(-8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1431376582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.043\nAnswer: -0.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, p: 2, s: 8, t: 2}. What is prob of sequence st?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -21258*4*(690\/(-45) - -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -695 - -1210. Let a = 529.4 - n. Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28627705 and -2?\nAnswer: -57255410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2\/2 - 7*a - 8. What is the first derivative of j(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85276\/13 - 6556. Which is greater: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -3*h - 21 + 1\/2*h**2. Give g(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d - 1. Let c be ((-20)\/(-6))\/((-128)\/192) + 85. Let v(u) = 4*u**3 - 20*u**2 + 20*u + 20. Determine c*k(l) + 4*v(l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1480 - 4870 - 2161 + 530)*(-10*a - 8 + 8) in the form s + l*a and give l.\nAnswer: 79810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1260*q + 1263*q + 3855. Let v = 3006 + q. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 38. Let w(m) = -15*m - 189. Let l(s) = -24*h(s) + 5*w(s). Let c be l(-11). Suppose c*q + q = -q. Solve q = -u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by -20.\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3841 is divided by 386.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1126 and 23281739?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593519 is divided by 103?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 3*y + 12*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.84 - 523.54. What is u rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**6 + t**5 - 292*t**4 - 4*t**2 - 434*t - 3.\nAnswer: 240*t**3 + 60*t**2 - 7008*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**6\/1620 + c**5\/90 - 5*c**4\/108 - c**3\/3 + 2*c - 80. Let g(r) be the third derivative of z(r). Factor g(x).\nAnswer: -2*(x - 5)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -11. What is the third derivative of -6*d**w + 4*d + 5*d**2 - 4*d + 4*d**6 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3621\/1634 + -110\/43. Does 0.3 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 11*f - 136 - 14*f - 10*f + 138.\nAnswer: -34*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/17 + -13\/119. Let l = 28 + -18. Suppose 0 = 3*t + g + l, t = 2*g + 2 - 3. Sort y, 0.5, t.\nAnswer: t, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + k - 4. Let w be g(2). Suppose -2*p + 32 = -w*v, 14 = 4*p + 4*v - 10. Suppose -7*m - 388 = -p*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 1. Let m be o(-1). Let k = 59 + m. 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: Simplify (((0 + (sqrt(288) + 0 - sqrt(288)))*1 - (-4*sqrt(288)*-1 + 2))*-4 + 0)**2.\nAnswer: 3072*sqrt(2) + 73792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 5:54 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 5)*7\/14. Let z(f) = 3*f - 1. Let b be z(1). Suppose c + 2*c = b*j + 5, -4*j = d*c - 17. Solve -p = -1 - j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13978.\nAnswer: 2, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3413.09 to the nearest ten.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.199 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 467500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*i = 237 - 591, 3*i + 1806 = 5*o. Let s be 2*((-8)\/(-36) + 64\/o). Factor s*r**3 + 0 - 4\/5*r + 4\/5*r**2 - 4\/5*r**4.\nAnswer: -4*r*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 22729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v = 36. Let x(f) = 8*f - 6 - 6 + 3*f - f**2. What is the remainder when 15 is divided by x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 9, p: 5, q: 2}. What is prob of sequence qs?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3055206 and -26\/808731.\nAnswer: 27496854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)*v**(-2\/51) assuming v is positive.\nAnswer: v**(-155\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145384 and 496016?\nAnswer: 8432272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.49\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31876*d**2 - 1434416*d\/3 + 20 = 0 for d.\nAnswer: -15, 1\/23907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335452 is divided by 225.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t - 8. List the prime factors of g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/10)\/((-28)\/8))\/1\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7616*p**4 + 88*p**3 + 325778568*p - 1?\nAnswer: 91392*p**2 + 528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/8 - (-2)\/24*(1320 - 1323).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(825)*2)\/((sqrt(24)\/sqrt(2))\/sqrt(4) + sqrt(3)))**2 + (sqrt(99)\/((sqrt(18)*1)\/sqrt(2)) - ((3*sqrt(132)*1)\/sqrt(12))**2).\nAnswer: -49*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6925737 and 1.4.\nAnswer: -9696031.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 7\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c. Let d = 0.01 + 4.99. Let r = -8080 - -8079. What is the fourth biggest value in c, r, d, 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 676 and 12805?\nAnswer: 665860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2149 + 1428. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -13 - 4) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62388.\nAnswer: 2, 3, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*q - 44 = 0, -5*m + 41 = q - 14. Solve 3*k - 3 = 5*a, 4*a + 2*k + m = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -12 - (1 + 0)) + -22 + 37 + 56?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3324 + 3076. Is -248 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 1 = -11, -61*h + 48*h - 5*j = -28 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*w - 11 - 42 = 0, -5 = -5*w. Solve -b*r = -14*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15))\/(120\/(-3600)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 4)*((-4)\/10 - (-114)\/60). Solve 2*u - 5*u = -q, -4*m + 7 = -5*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -1.27. Let k = -0.07 + j. Does k = 6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18752, 34446, 50140?\n\"Answer: 15694*s + 3058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 9:03 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*h = 4*i - 26, -2*i - 3*h = 6. Factor 2*n + 4*n**2 - 5*n**2 - n - n**i + n**4.\nAnswer: n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/9 (b) 2 (c) 1.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.8562 rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.1 + 17.2. Let s = v + -9.7. Let g = -70 - -212\/3. Which is the nearest to g? (a) s (b) 0.5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/11868 and -107\/135102?\nAnswer: 11618772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/6 - 694*j**4\/3 - 78150*j**3 + 4448575*j**2\/3 + 468901*j\/6 - 1482627 = 0.\nAnswer: -703, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 2*d - 15. Let k(b) = -5*b - 14 + 52 - 14 - 14 - 9. Give k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3081, 5929, 8773, 11613, 14449?\n\"Answer: -2*d**2 + 2854*d + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 15. What is y(-25)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, c: 2}. What is prob of sequence aaa?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 8*o**2 - 8*o - 9. Let r be c(9). Let u(j) = r + 7*j + 9 - 8. Let v(z) = 6*z + 1. Let i = 5 + 0. What is i*v(a) - 4*u(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.78 + -258586.\nAnswer: -258588.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:26 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270.4861 rounded to the nearest 10?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 812\/25?\nAnswer: 812\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*(-36)\/(72\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23292*o**2 + 768644*o + 264 = 0.\nAnswer: -33, -2\/5823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -3*j**5\/20 - 4*j**2 - 3*j + 3. Let o(f) be the first derivative of v(f). What is the derivative of o(u) wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Let z = -4.1 + 4.5. Which is the closest to r? (a) 2 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 2*z - 214 - 2*z.\nAnswer: z - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*p**3*r**2 + 4786141*p**3*r + 2*r**2 - r + 18812956 wrt p.\nAnswer: 24*p**2*r**2 + 14358423*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + (-13)\/(-3). Suppose x*o = 3*f - 0*f + 141, -5*o = -4*f - 143. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5566788 divided by -1294\nAnswer: -4302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6*(12 + -9 - -3). Solve 3*c - u - 9 = -t*u, -3*c = 4*u - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5*q + 3*p - 11 = 0, -2*p + 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000254083475 rounded to six dps?\nAnswer: 0.000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 225870.473 times 0.1\nAnswer: 22587.0473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(133)\/sqrt(7) + -5)*-3.\nAnswer: -15*sqrt(19) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -5, -3, -4, -19, -12402 in descending order.\nAnswer: -3, -4, -5, -16, -19, -12402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 11*w + 1. Let t be b(4). Let f(c) = c**3 - 5*c**2 + 4. Let m be f(5). Suppose 9 = -m*a + t. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165810, 331616, 497444, 663294?\nAnswer: 829166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 4*m**2 + 4*m - 2. Let u be d(-5). Suppose u*w + 5 - 17 = 0. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18409 - -85986. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69169 - 32378 = -27*o. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -114, -262, -466, -726?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 4*w + 4. Let c(i) = -i**3 - 9*i**2 - 6*i + 11. Let l be c(-8). What is the units digit of g(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6a7cc (base 13) to base 2\nAnswer: 101111100001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14696576, -14696585, -14696594, -14696603, -14696612?\nAnswer: -14696621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2644*m - 147 = -1346*m - 1319*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45878 - 77798 = -16*z. Calculate the remainder when z is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 98?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**9\/1512 + n**8\/840 + n**7\/420 - n**6\/180 + n**3\/3 + 3*n. Let g(w) be the second derivative of l(w). Factor g(m).\nAnswer: -2*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113031313 + -12?\nAnswer: -113031331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Suppose 0 = 3*b - i - 1. Is b less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Let f(v) be the first derivative of 0*v - 3\/2*v**u + 1. Let d(n) = -n**2. Calculate d(f(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 833251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w. Let y(z) = 1. Let n(c) be the second derivative of 3\/2*c**2 + 0*c**3 - 1\/6*c**4 + 0 + 4*c. Let q(x) = n(x) - 3*y(x). Determine b(q(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*v + 2*v. What is the units digit of 2*(-2)\/4*v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 199?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2953902 is divided by 88.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -142*r - 849. Determine i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 73*n**2 + 29*n - 67. Determine b(24).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -a + v, -5*a - 20*v = -24*v - 40. What is the remainder when 69*-1*(0 - 1) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222 - 0?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.0173355 + 8.\nAnswer: 10.0173355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12) + sqrt(588)*2) + -1 + (sqrt(13) - (sqrt(13) + 2 + -4)**2 - sqrt(13)).\nAnswer: -18 + 61*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3393946*o + 6787886*o - 3393945*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 6*k - 5*u = -30, -2*k = 4*u - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - (-992)\/56. Let x be 320\/q + 16\/72. What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 11:41 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + x + 2*x + 2*x - 2*x - 2*x - 4 + x + 4 + (0 + 0 + 1)*(-3 + 3 - 2*x) - 7*x - 5*x + 5*x)*(4*x - x + 0*x) to the form q + v*x**2 + a*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 11 = 2*z. Suppose 4*o - z - 1 = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116609408?\nAnswer: 2, 911011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.046 + -0.146. Is d greater than or equal to 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 53.1. Let h = 3.2 - s. What is the nearest to h in 4, 0.1, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60428 + -60428.000068251. What is i rounded to 6 dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3 + 2)\/(168\/(-126))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - d - 104, -2*d + 2 = 0. Let x = f + -58. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, -132, -1\/5 in descending order.\nAnswer: 13, 5, -1\/5, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 20.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/2, 57, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8318 or 16633\/2?\nAnswer: 16633\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18831\/77 + -2544\/11. Let v = 13 - f. What is the closest to v in 4, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, -4, 2989, -2, -83 in increasing order.\nAnswer: -83, -4, -3, -2, 16, 2989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1394*l - 187. Let z(j) = 15*j - 2. Let w = -17290 + 17477. Determine w*z(u) - 2*c(u).\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -318*(3 - 1970\/60) + (5 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10856*z - 531926. Determine j(49).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306352201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/4 - 117*h**4\/2 + 13921*h**3\/4 - 6786*h**2 + 3364*h = 0.\nAnswer: 0, 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(2)*2 - (sqrt(7)*1)**2*-3.\nAnswer: 2*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 1\/6*g**3 + 0 - 59*g + 0*g**2. Let b(y) = -10*y**2 + 3*y. Give d(b(s)).\nAnswer: -10*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 5. Sort 6, 0.1, x in increasing order.\nAnswer: x, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*d - 10*d**2 - 22*d to a*d + c + i*d**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46133 = -5*d + v, 17*v - 13*v = 8. List the prime factors of d.\nAnswer: 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**4\/4 - t**3\/2 - 37*t**2 + 2*t. Let a(r) = -3*r - 1. What is -13*a(h) + 6*w(h)?\nAnswer: 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 94018?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5399322018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-13623356.\nAnswer: 204350340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 4:25 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.3 (c) 2\/15 (d) -26 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-16))\/(-5)*(-20442)\/(-23849)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -175\/8 equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(3 - 3 - 2*h) + 3*h + h - 3*h + (6 + 6 + 2)*(-3 - 2*h + 3).\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97\/60 or -11222?\nAnswer: -11222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13908298 divided by -58?\nAnswer: 6954149\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204503968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 - -1.28. Let b = -1.6 - u. Put 1\/4, b, 1 in decreasing order.\nAnswer: 1, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606767429 to the nearest integer?\nAnswer: 24633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 9*p + 6*p. Let o(i) = i**2 + i + 1. Let f be o(-2). Let y = p - f. Which is greater: -3\/7 or y?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w + 2. Let i(f) = 5*f**2 - 9*f + 9. Let j(r) = 4*i(r) - 18*x(r). Let c(t) = -3*t + 14*t - 23*t. Determine j(c(q)).\nAnswer: 288*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -1\/3 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 11*n**2 + 10*n + 6. Calculate v(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-2) + 10\/20. Suppose i + 157 = 3*h, 0 = c*i - 3 - 5. Suppose 2*k - v = v + 26, 5*k = -v + h. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 1 - 13 - 3*r + 2*r - 5*r + r - 4*r + 5*r + 0*r + (-2*r + 0 + 0)*(2 - 2 + 2) as k*r + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2162313 - 2.\nAnswer: 2162311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 66 = 2*m, -y = 4*m + 3*y - 160. Calculate the lowest common multiple of m and 3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 3:49 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 725*n**2 + 16*n - 147 - 723*n**2.\nAnswer: 2*n**2 + 16*n - 344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 8:43 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -379*b*r**3 - b*r**2 - 3*b*r - 6398*b + 1 wrt r?\nAnswer: -1137*b*r**2 - 2*b*r - 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d - 5. Let r(m) be the second derivative of 5*m**3\/6 + 2*m**2 + 5*m - 5. What is 3*f(j) + 4*r(j)?\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2.1 (b) -4 (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 41 - 57 = 0. Which is the biggest value? (a) 13 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 6688?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/((j*j\/(j**(-2\/7)*j)*j)\/j))))\/j)**(-41))**(-50)\/(j**5*j\/j**(-1\/2))**(-4) assuming j is positive.\nAnswer: j**(-18268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 1212, 2350, 3472, 4572?\nAnswer: 5644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*a - 9 = 0, -73*w - 3*a + 11 = -72*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 7*w**2 - 3*w + 2. What is the remainder when 144 is divided by z(5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38\/3 or -14?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -379*82476.9\nAnswer: -31258745.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-1107 - -22)\/31?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. Let i(x) = -5*x**2 + 4*x + 3. Let p(v) = 6*v**2 - 5*v - 3. Let j(c) = 7*i(c) + 6*p(c). What is the units digit of j(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*k - 3*z, 3*k = -0*k - 4*z - 4. Solve k*q = 5*i - 5 + 25, -q = 5*i + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5*(-3)\/30)\/((-1)\/2). Let t be (-5)\/(-2) - 598\/(-92). Put -3, u, t in descending order.\nAnswer: t, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.92664 and -3.\nAnswer: -80.77992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -4, 1\/123, 1, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -142?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 451 = -32*c - 4*s, 4*c = -s + 1821. Suppose -457*z + c*z + 2726 = 0. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29651, 59303, 88955?\n\"Answer: 29652*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 10*c - 3. Let q(w) = -w. Let s(v) = -q(v) + t(v). Differentiate s(z) with respect to z.\nAnswer: -2*z - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36530a6 (base 11) to base 12.\nAnswer: -21676a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3360 divided by -4\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98972.97 litres to millilitres.\nAnswer: 98972970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 486512099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -142 + -32. Let g = a + 517\/3. Is g greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -764*t**2 - 396*t**2 - 699*t**2 - 4*t**2 - t**2 + 3*t**2 - t + 3*t**2 + t + (t + 3*t - 2*t)*(3 - 3 + t) as j*t + p + r*t**2 and give r.\nAnswer: -1856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -59*p**2. Let w(t) = t**2. Determine c(w(o)).\nAnswer: -59*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 821.1901 millimeters?\nAnswer: 0.0008211901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + sqrt(11))**2*-4 - 1*sqrt(77)\/sqrt(7))*-1.\nAnswer: -7*sqrt(11) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1 - 28*s**3 + 29*s**3 - 5 - 5*s - 6*s**2. Let m be f(7). Let l = 13 - m. Solve -l*a = -4*z - 3 - 28, -5*z = -2*a + 26 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186369753\/410 - 454560. Let l = x + -3\/41. Find the common denominator of -101\/16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3661399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n, 5*z + 117 - 747 = 2*n. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 - 24*t**2 + 2*t - 13. Let v(z) = -3. Determine -2*v(h) + w(h).\nAnswer: -3*h**3 - 24*h**2 + 2*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-6)*(-4)\/3. Suppose t + u*c = 8, -3*t = -0*t - 3*c - 42. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:23 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 9*c**2 - 2*c + 6. Let a be w(9). Let x = -8 - a. Suppose -2*i + x*i = 10. What is the remainder when 14 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from anaaanwn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179994 is divided by 2903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7789*s + 1129414. Determine o(-145).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -79, -152, -225?\n\"Answer: -73*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g*n*s*t - 2*g*n - 269*g*s - 2*g + 7303632*n*t + 299*n wrt t?\nAnswer: -2*g*n*s + 7303632*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 2, j: 7}. Give prob of sequence jz.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -707 + 719. Calculate the least common multiple of v and 12*(-1 - (-16)\/6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2. Let t(h) = 312097*h. What is p(t(g))?\nAnswer: 779236299272*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/5)\/(9*(-26)\/(-1755)). What is the third derivative of f**2 + 121*f**6 - f**d + 20 + 35*f**6 wrt f?\nAnswer: 18600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13797057 is divided by 689852.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 9*s + 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and 0.1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + 4 + (52 - 59)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 831876164?\nAnswer: 2, 7, 17, 19, 59, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 12. Determine b(11).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2\/3 (c) -3 (d) 3.2 (e) 0.2 (f) 0.1 (g) 3\/116\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 187248 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 227349 + -28?\nAnswer: 227321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 6*h - 12. What are the prime factors of i(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/5 - (-1 - -1). Suppose l - 88 = -0*j - p*j, 4*j + 4*l = 100. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*o**2*q**3 - 7*o**2*q**2 - 13138*o**2 - 11236*o*q**3 + 158*o + 66*q**3 wrt q.\nAnswer: -732*o**2 - 67416*o + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -101. Which is the closest to 1\/5? (a) 0 (b) j (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 - 2 + 4 - 5*j**2.\nAnswer: -5*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + 11. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 709893 (base 10) to base 13\nAnswer: 1bb172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -457*q*t**3 + 2*q*t**2 - 3*q + 40*t wrt t?\nAnswer: -2742*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*m - 170 = 77 - 41 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + -2 + sqrt(3) + sqrt(3).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c - 2. Let p be k(8). Let y = p - 13. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*a + 30. Suppose 5*z - 7*g - 84 = -3*g, -4*z + a*g = -68. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 0*v + 3*v)*(-4 + 2 + 1) - 464*v - 449*v + 1158*v.\nAnswer: 247*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 86069 + 7489?\nAnswer: 93558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21568.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -8*a + 88. Let n be (4\/(-5))\/((a\/(-70))\/7). Solve n + 12 = -5*j, 2*j + 8 = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -28. Suppose s*v - 3 = 2*v. Suppose 30*c**3 + 6*c**2 + 8*c**3 + 84*c**4 - 10*c**v + 17*c**3 = 0. Calculate c.\nAnswer: -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246\/410*(-2775)\/(-9) is divided by 86.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**4\/4 - 5*q**3\/2 + 20*q**2 + 40*q = 0. Calculate q.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(385)\/(-4*(sqrt(7) + sqrt(14)\/sqrt(2) + sqrt(7))))\/((sqrt(5)*2*2 + sqrt(5))*2).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*g + g**3 - 13*g + 1 - 3*g**4 + 2*g**2 in the form h*g**3 + f*g**2 + n*g**4 + d*g + m and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z - 663 = 4782. Solve -126*t + z*t + 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16242*x**4 - 2916.\nAnswer: 64968*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4920)\/(-720) - 8)*24\/(-567)*-3?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*q, -6*q = k - q + 12. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 45341.6?\nAnswer: 45346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -140 * -8\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 3*r**2 - 3297*r**3 + 1648*r**3 + 1648*r**3.\nAnswer: -r**3 + 3*r**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-18)*l**2)**(2\/35))**(-7\/8) assuming l is positive.\nAnswer: l**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (6 + -5 + 2 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 4*h + 28, -n + 265*h - 270*h - 13 = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -314*u**3 + 6*u - 2. Let s(n) = -4*n**3 - 4*n. Determine -d(m) - 4*s(m).\nAnswer: 330*m**3 + 10*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/124004 and 67\/1160?\nAnswer: 1240040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340178, -342117, -344054, -345989, -347922, -349853, -351782?\nAnswer: -353709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2215258776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3305.8877 to the nearest ten.\nAnswer: 3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -6 - 2. Suppose m + 1 = w*m. Is -2 + (-81)\/m*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let g = j - 1. Let f = 0.3 + 4.7. Which is the biggest value? (a) g (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/6 - 318*u**3 + 151048*u**2 + 1827872*u\/3 = 0.\nAnswer: -4, 0, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 8284960\nAnswer: 1656992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:31 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584408824 to the power of 1\/3, to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwhwxghwwhwhxhwxxww. Give prob of picking 2 x and 1 g.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = -0. Let z be ((-2)\/(-4))\/(2\/k). Is (-37)\/(2 - (4 - z)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 18*u - 124. Calculate o(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*l*q - 26*j**2*l - 51*j**2*q*u - j*q*u**2 - 268*l*q*u**2 + 912*q*u - 2*u wrt l.\nAnswer: -j**2*q - 26*j**2 - 268*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2. Let r(z) = 23*z**2 - 3*z. What is r(c(a))?\nAnswer: 92*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15567 + 51259. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -227592a - 4?\nAnswer: -2275933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*t = -2*t + 3, -m - 3*t = -17. Let q(s) = -s + 2. Let y be q(-2). Suppose 0 = -y*p + p, 3*p + 75 = 3*u. Solve -m*b + u = -7*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five sixths of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2740)\/(-137)*(-2)\/(-5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2*q + q)*(425*q**2 + 611*q**2 + 1104*q**2).\nAnswer: 6420*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-12)*-1*4. Which is the second smallest value? (a) 0.2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:42 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a - 3. Let p(z) = z. Calculate 5*p(y) + t(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2966\/18 - -5*12\/270. Suppose -30*a = -33*a + l. Calculate the remainder when 215 is divided by a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4668*q**4 - 356*q.\nAnswer: -56016*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2 - 15*i + 124. Let f(k) = 3*k**2 + 7*k - 57. Give -9*f(d) - 4*w(d).\nAnswer: d**2 - 3*d + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 16531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t + 70*t - 34*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(98*k + 32*k - 33*k)*(4 + 3 - 13 - k)*(2*k**2 + k**2 - k**2).\nAnswer: -388*k**4 - 2328*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 5*m**8\/14 - m**4\/6 - 19*m. Find the third derivative of h(d) wrt d.\nAnswer: 2400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11987.3 - 2457.7. Let n = 14458.386 + c. Let m = n + -13.5. What is m rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/498 and -11\/8?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -276, -410, -542, -672, -800, -926?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12646231 to the nearest integer?\nAnswer: 3556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 j, 1 q, and 1 d when four letters picked without replacement from {j: 1, d: 1, q: 4, c: 2, x: 1}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339694 is divided by 658.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, 14, -21, 0 in ascending order.\nAnswer: -21, 0, 2, 14, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/(d\/(d\/d**1)))\/(d**(-2\/3)\/d**(-1\/2))*(d**3*d**(2\/9))**(-2\/39) assuming d is positive.\nAnswer: d**(-467\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -1, -4814 in descending order.\nAnswer: 6, 5, -1, -4814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1390919 at least as big as -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**3 - 4*t**3 + 3*t**3)*(45 + 35 - 33) as c*t + z + m*t**2 + d*t**3 and give d.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 11*i**2 + 9*i + 12. Let l be f(10). Let j(z) = 8*z**2 + 4 + 0 - 9*z**l - 3 + 14*z. List the prime factors of j(13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11178.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -9*c + 85. Let s be (-1 - (-2 + 1)) + 0. Suppose 2*k + c*x + s = 8, -k - 5*x + 18 = 0. Put 0, k, 7 in ascending order.\nAnswer: k, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*g + 52 = 0, 5*g + 46 = -2*l + 3*g. Let f = l - -256. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-28)\/8*2. Suppose -l*n + 30 = -2*y, 15 = n + 2*y - 4*y. Let j be (-1898 - n) + 2 + 1. What is j rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) - (-6895)\/591. Let y(s) = -8*s**3 - 17*s - 11. Let f(b) = -3*b**3 - 6*b - 4. Give p*f(v) - 4*y(v).\nAnswer: -v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -331, -330, -333?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -29, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/460*4*15\/3.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83.94 + 84. What is the fourth smallest value in a, 1\/6, 1, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -135. Let s(v) = v**2 - 19*v + 10. Let b be s(a). Calculate the greatest common divisor of b and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*o + 352. Calculate the remainder when 41 is divided by (4\/(-10))\/(3\/o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 - (2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5338, 15160, 31528, 54442, 83902, 119908, 162460?\nAnswer: 211558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188008089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3765219?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1255 - 4?\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + (-60)\/40)*(-3 + -127767).\nAnswer: 3, 5, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.5, -4\/11, 95, -0.2, -2\/57, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*n**3 - 505*n**2 - 97822*n.\nAnswer: 60*n - 1010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h + 4*b - 98 + 291, -b - 67 = -4*h. Solve 158*q = 161*q + h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 6 + 7*j**2 - 4*j**2 - 4*j**2 + 4. Let k(y) = 7*y**2. Give l(k(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + 59. Suppose 2*a = 4*v - a - 166, -2*v + 5*a = -j. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160961 minus 1?\nAnswer: -160962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -158.6926 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3493 - 3180. Solve -5*j - p + 298 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -120102201101?\nAnswer: -120102201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 45 - 159. Suppose 3*k - 14 - b = 0. What is the smallest common multiple of k and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 182?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (196\/(-12))\/7*8\/28. Which is the nearest to -2\/7? (a) -0.22 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:52 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -11) + 9 - -59 - 28\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -2490 in descending order.\nAnswer: 12, 3, -2490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 - -76. Let w = r - 14. Let y = w - -4. Solve -4*n - n + 35 = 4*q, n + 3*q - y = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -55*l**3 + l**2 + 9*l + 9. Is t(-3) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*j - 31*j + 21. Find l such that j*l**2 - 13*l**3 - 14*l**3 + l**2 + 2*l - 4 + 25*l**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215020947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*f = 24 - 4, -r + 2*f - 4 = 0. Suppose 0 = c - 4*c - 9. What is the second biggest value in r, 5, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 divided by 1141.\nAnswer: 58\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -865.96 to the nearest integer.\nAnswer: -866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48440, 48569, 48698, 48827, 48956?\n\"Answer: 129*q + 48311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/5 (b) 4\/3 (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 - 88. Let d be 14\/(-4)*(864\/(-84))\/(-9). Which is the nearest to p? (a) d (b) 3\/4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2799*w*x**2 + 1001*w + 14*x**2 + 22*x wrt x.\nAnswer: 5598*w + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.91 + 7.71. Sort -0.1, 0, 2\/17, o in decreasing order.\nAnswer: 2\/17, 0, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 4, n: 1, x: 3, r: 1, c: 4}. What is prob of picking 1 x and 1 n?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/19, -2429 in decreasing order.\nAnswer: -1\/19, -0.5, -2429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 326 - 145. What are the prime factors of v?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.13, 0.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2088, -2871, -3654, -4437, -5220?\nAnswer: -6003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3523\/7 + -503. Which is the closest to 2\/3? (a) -6\/5 (b) -3 (c) q (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042477 rounded to five dps?\nAnswer: -0.00425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 2, c: 6, s: 2}. What is prob of picking 1 c and 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445437 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: Let j(x) be the second derivative of 693*x**4\/4 + 135*x**3\/2 + 3*x**2\/2 + 2*x - 1340. What is the second derivative of j(v) wrt v?\nAnswer: 4158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53253 - -135?\nAnswer: 53421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z + 61000. Let x = z - -64500. What is x rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 11103660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 18. Let t be 30*(-2 + a\/(-2)). Let w be (-3 - -2) + 5 + -1. Solve -3*n = -2*r - 7, 2*r = -w*n - 2*n - t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence evt when three letters picked without replacement from vvvtevtne?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*x - 26 = 0, 4*k + 21 = 6*k - 5*x. Let o be -340*(k\/(-10) - 44\/(-55)). What is o rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/298*(-142)\/(-781)*-2?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:34 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2 = 3*r, 4*i - 4*r = -8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(440) - sqrt(440)*-1))\/(-6*sqrt(90)))**2.\nAnswer: 176\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*v**2 + 1\/2 - 1\/2*v**4 - v**3 + v = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - p**2 + 14. Let m be a(0). Let u be (-1)\/((-5)\/535*1). Suppose u + m = x. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -5. Let b be 3 + 0\/(k + 0). Does 12 divide 35\/(b*2\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m + 1. Let n be a(1). Let j = 1 - n. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and -2399.613.\nAnswer: -2389.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhpahaqrpqa. What is prob of sequence rq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 18, 28, 38, 48?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/14 and 397 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1448721 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 180, 59 in descending order.\nAnswer: 180, 59, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*c + 27, -2*c + 2089*h = 2086*h + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - ((1 - 0) + 1). Let r be (-1)\/u + (-42)\/(-10). Suppose -231 = -7*n + r*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/(-315) - ((-109)\/(-540) + (-34)\/(-136))?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 n when three letters picked without replacement from cllnuloufcuunufo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 86, -1 in increasing order.\nAnswer: -1, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42627835?\nAnswer: 5, 43, 331, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7915 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -560, -1270, -2264, -3542, -5104?\nAnswer: -6950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 72, 68, 64, 60?\n\"Answer: -4*w + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -17.82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, -3, -107, 1, -4, 40 in decreasing order.\nAnswer: 40, 4, 1, -3, -4, -8, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -29, -75522 in descending order.\nAnswer: 2, -29, -75522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0*l**2 - 2*l - 4 + 5*l - l**2 + 3. Give y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -30, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, h: 1}. Give prob of sequence nh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5 - 35188*z**4 + 1474606*z**3 - 4177532*z**2 + 2738112*z = 0?\nAnswer: 0, 1, 2, 39, 17552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*9707.7067\nAnswer: 1941.54134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41.6 + 0.4. Let z = -68739\/4 + 17036. Let p = 148 + z. Which is the biggest value? (a) p (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**4 - 8*m**4 + 3*m**4 + (-5*m + 0*m + m)*(-m**2 + 3*m**2 - 3*m**2)*(27*m - 66*m + 30*m).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c - 72 = -89*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2614, -5964, -10048, -14866, -20418, -26704, -33724?\nAnswer: -41478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5299490 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*o - 74*o + 35*o + 481.\nAnswer: 2*o + 481","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 81390.\nAnswer: 1\/13565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 - 16*b - 4. Let s(l) = -11*l**2 + 33*l + 7. Let y(o) = -6*s(o) - 13*t(o). Let q be y(-10). Let i = 32 + q. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320674 is divided by 3025.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-2)\/6 - -6. Suppose -b - b = w. Let h(l) = -2*l. What is h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from fsswsffhhhhrrwshf?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 2\/9 (b) -0.44 (c) 27 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -8 - 5 - (2 - (7 - -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 43*m - 16. Let x be s(-16). Find the first derivative of 0*p**4 - 2*p**4 + 64 - x + 47*p**3 wrt p.\nAnswer: -8*p**3 + 141*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1108962 bigger than -2217923\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2062, 21, -6 in decreasing order.\nAnswer: 2062, 21, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8650, 5 in increasing order.\nAnswer: -8650, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 18322*j**2. Let c(g) = g + 7. Give c(w(z)).\nAnswer: 18322*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*o - 297384 = -95149 + 1153515. Does 49 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*((sqrt(102) - 4*(sqrt(102) - (sqrt(102) + 1*sqrt(102)))) + sqrt(102) - (sqrt(102) + 2*sqrt(102)*2)))\/(sqrt(48)\/(-1*sqrt(8)) - 1*sqrt(6)*4).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {u: 7, e: 12}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-8) - (-10)\/(-4). Calculate the remainder when 3\/j*(-410)\/15 is divided by (-34)\/(-51)*(-33)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/15)\/32 + 148\/(-464).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 4326 (c) 1 (d) 0 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 23*j**2 + 17*j - 61. Let g(r) = 8*r**2 + 6*r - 21. What is -6*d(n) + 17*g(n)?\nAnswer: -2*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 16*c - 12*c - 11*c + 22*c + 7*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1253935, 1253933, 1253931, 1253929?\nAnswer: 1253927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 5)\/(24\/16). Suppose r + 8 = 4*a, -y*r = -2*a + 6*a + 12. Solve 5*m = 4*m + a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 657 by 2.\nAnswer: 657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + (sqrt(833) + 0)**2 - -2*(-4 + sqrt(833))*-1)*4.\nAnswer: -56*sqrt(17) + 3364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*l**2*o + k*l*o**2 - 3*k*o**3 + 2*k*o + l**2*o**3 + 18*l**2 + l*o**3 + 26*o**3 wrt o.\nAnswer: -18*k + 6*l**2 + 6*l + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, -151, -1163, -3083, -6211, -10847, -17291, -25843?\nAnswer: -36803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 23 = 3*c, -25 + 20 = 5*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17665377 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29881?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*p + 10 = 0, -3*s = 2*s + 3*p - 39. Which is bigger: s or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -40.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 10:04 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -235?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22528382 to the nearest integer?\nAnswer: 4746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1564 - -1615. What is the lowest common multiple of 45 and i?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 4973 - 3379. Suppose 5*q + 507 = w. What are the prime factors of q?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -210.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (318\/4)\/(27\/18). Let r(k) = k + k - k + t - 52. What is r(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92097?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29436.6 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1878290, 3756580, 5634870?\nAnswer: 7513160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 7*m**2 + 7*m + 13. Suppose -5*u = 2*y + 2 - 18, 3*y - u = 24. Let b be j(y). Suppose -3*i + b*q = -1360, i + q - 435 = -q. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2843 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -n, 2*n = u - 18 - 0. Let f(r) = r**3 + 9*r**2 - 4. Give f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + (1 - (17 + -50)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*c + 21, -196 + 173 = c - 5*r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4159 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-4)*(-3)\/6. Suppose 3*x = l + 42. Determine t so that t**2 + 15*t - 6*t**2 - 5 + 24*t**4 - 14*t**4 - x*t**3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867, 289, -659, -1965, -3617, -5603, -7911, -10529?\nAnswer: -13445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + k = 116, -5*k + 2*k - 36 = -w. Suppose -47*o = -51*o - w. Let i be (-28)\/o + (-3)\/(6 + -15). Solve -4*a - i*s = -7, -2*s + s = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - -8. Let s(j) = -6*j**2 - 5*j - 4. Let p(y) = -18*y**2 - 16*y - 12. Let i(c) = 2*p(c) - 7*s(c). What is the remainder when i(-3) is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/34 - 1\/17. Which is the second biggest value? (a) z (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 387 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -302?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 8*m**2 - 3*m - 3. Let w(o) = -o. Let h(q) = -n(q) - 6*w(q). Suppose -2*y = -32*t + 33*t + 24, 2*t + 57 = -5*y. What is h(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l**2 + 1550952*l + 2791665 = 0.\nAnswer: -103395, -9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 113 = 1034. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -133, 1, -91, 275.\nAnswer: -133, -91, 1, 5, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26\/52 - 6662\/(-4)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*(24\/(-5))\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.8 - -81.2. Let r = q - 101.999826. What is r rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1154411 - 2?\nAnswer: 1154405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 292.6249 millennia?\nAnswer: 29262.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n + 8. What is the greatest common factor of n and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3346 - 3346 + 3*p. Let u(g) = 6*g. Calculate -9*s(j) + 5*u(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-90)\/(-70) - (-2)\/(-7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54933, -54929, -54923, -54915?\n\"Answer: w**2 + w - 54935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -14*f + 71. Let x be k(10). Let t = -2 - x. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-2)\/(-12) + 1671340\/321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 98629*c**2\/3 + 197251*c\/3 + 98627.\nAnswer: (c - 98627)*(c - 3)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -13*o + 381. Let i be s(29). Find the common denominator of -2*12\/192*i\/30 and -23\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**6\/480 - l**5\/120 - l**4\/96 + l**3\/12 - l**2 - 1. Let n(b) be the second derivative of o(b). Find g, given that n(g) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 + h**2 + h + 1. Let v = 10 + -11. Let w be f(v). What is the second derivative of 38 + 0*d + 8*d - 10*d - 4*d**3 + 0*d**3 - 10*d**w wrt d?\nAnswer: -200*d**3 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14614444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 131375855 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/76 + (-6)\/(-57). Let x = 203 - 205.97. Let q = x + -0.03. Which is the nearest to 0.1? (a) q (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.251 + 11.351. Which is smaller: 3758 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*v - v - 134*v = 79*v + 14555 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2205*o**2. Let x(k) = -6*k**2 - 4. What is x(v(h))?\nAnswer: -29172150*h**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20263 + 10144 - 17*r + 10119.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 - -7. Suppose 2*w + y = 4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 101?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 16.8.\nAnswer: -201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/15)\/((-10)\/(-396))*-5. Let m be ((-852)\/(-2 + -2))\/(-1). Let l = i - m. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17564 is divided by 288?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 9. What is y(34)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 27 + 34 = 5*n, 4*n - 3*s = 47. Let u = -47 - -51. Suppose 5*z - u*m = 34, 0 = -z + 4*m - 2 + 12. What is the lowest common multiple of n and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 8188 (b) -4\/7 (c) 380\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.2. Let t = 0 - m. Let y = -13 - -18. Which is the smallest value? (a) 1 (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -13*s + 0*s**5 + 0*s**4 + 0*s**2 + 0 + 5\/6*s**3 + 1\/14*s**7 - 2\/15*s**6. What is the second derivative of b(y) wrt y?\nAnswer: 60*y**3 - 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 27*l**3\/2 - 112*l**2 + 575*l. What is the derivative of v(f) wrt f?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1817067*x**5 + 5*x - 275547 wrt x.\nAnswer: -36341340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 8*v**2 + 10*v - 7. Let o be b(-5). Let d = 16 + o. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z**2 - 4\/3*z**3 + 0*z + 2. Let i(a) = -a**2. What is w(i(o))?\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 4*f + 7, 4*f + 16 = 45*h - 49*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639 = -57*c + 48*c. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-870)\/(-40) + -11 - 10\/1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -632.\nAnswer: -632, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 9 = -3*k, 30*c - 5*k - 15 = 26*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -25*z + 33097. List the prime factors of z.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 14*z - 83. Let g(u) = 5*u - 26. Determine -7*g(m) + 2*k(m).\nAnswer: -7*m + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2512006543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24094 + -24119. Let i = -3 + 3.4. Let x = -4.4 + i. What is the nearest to z in x, -0.3, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2, 2, -19 in ascending order.\nAnswer: -19, -2, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 24*z**3 - 12*z**2 + 4*z + 19. Is k(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-12) + (-50)\/(-30)*(-10)\/12.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = -1. Suppose 31*k = -112 - 43. Sort h, k, -1, -3 in descending order.\nAnswer: h, -1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*g + 4 - 184 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(-174) + 2512706\/406?\nAnswer: 3, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + (-2)\/8. Let p be ((-2)\/(-1) - 2) + 2. Suppose 3*c - p*c = o. Solve -1 = -h - 5*r + 8, c = -4*h + 5*r - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 1)*(0 + 0 + 2 + (1 + 0 - 2)*(1 - 2 + 2) + 2 - 1 + 1)*(2*t**3 + 2*t**3 - 3*t**3).\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1065267 and 28791.\nAnswer: 1065267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 966 = -376. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 3*a + 1. Let j be h(2). Let c(b) be the second derivative of -b**2 + 1\/20*b**5 + 3*b + 1\/6*b**j - 1\/4*b**4 + 0. Calculate c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72418 < 72421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*6)\/(2\/(-6)). Let k(a) = -a**3 - 9*a**2 - 7*a + 20. Let n be k(-8). Let m be (z\/n)\/(1\/34). Calculate the greatest common divisor of 561 and m.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 77092 and 0.427158924.\nAnswer: 77092.427158924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -3. Let q = -634 + 1267\/2. What is the smallest value in s, 1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (0 - (-9 - -20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36d (base 14) to base 11\nAnswer: -573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -4, 68, -0.4, -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115668)\/2652 + (-24)\/(-39)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83.5 or 1\/2539?\nAnswer: 1\/2539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 0*q)*(-7 + 2 - 2)*(-306*q + 247 - 247) - 4 + 4 - 2*q**2.\nAnswer: -2144*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2701 >= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*v + 33*v + 9*v**2 - 12*v**2 to the form b*v + l*v**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-590)\/(-18) - (-10)\/45. Suppose 0 = 9*r - b - 21. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**5\/30 - h**4\/24 - 21*h**2. Let j = 462 + -464. Calculate o(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 14*z**3\/3 + 17*z + 5. Let o(u) = -18*u. What is r(o(q))?\nAnswer: -504*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + 2 + 0 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 6931789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/2 - 817*t**4\/2 - 16639*t**3\/2 - 84407*t**2\/2 - 54405*t = 0.\nAnswer: -13, -5, -2, 0, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 7*i - 4*i + 5, -5 = 2*d + i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**4\/24 - 2*b**2. Let m(q) = -4*q + 161 - 325 + 164. Give m(a(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -144) + (2338 - 2345)?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -0.4, -7.6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**24\/b*b**(-1\/16))\/(b\/b**(14\/5)*b**13) assuming b is positive.\nAnswer: b**(939\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2182786.\nAnswer: 2, 1091393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4419, 17662, 39725, 70602, 110287, 158774, 216057?\nAnswer: 282130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538707471, 1077414936, 1616122389, 2154829824, 2693537235, 3232244616?\nAnswer: 3770951961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**(-6))\/j)\/j)\/j)\/j*j**(-5\/7)*j)\/((j\/((j*j*j**(2\/7))\/j))\/(j*j*(j*j**3\/j)\/j*j)) assuming j is positive.\nAnswer: j**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71716945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 + 4 = 5*z, 2*w = -4*z + 8. Suppose -b - 1563 = -5*c + 389, w*c - 788 = -2*b. List the prime factors of c.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-12) - -3) + 203\/(-70).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*m**2 + 51881*m**3 + 58*m**2 - 149478*m**3 + 15*m**2.\nAnswer: -97597*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/42? (a) 0 (b) 1\/5 (c) 0.8 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.6ns in seconds?\nAnswer: 0.0000004446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 60b1e (base 15) to base 12\nAnswer: 129292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.027 or 12.83?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -247, -339, -431?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2 + 2*l + 1. Let z be m(-1). Suppose 207 = z*k - 93. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/105 - (-1)\/5. Let f(c) be the second derivative of 0*c**4 + 1\/2*c**2 + x*c**3 - 1\/10*c**5 - 1\/30*c**6 + 0 - 2*c. Factor f(h).\nAnswer: -(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/(-2)*6\/(-15). Let x(i) = i**3 - 4*i**2 - 3*i - 3. Let b be x(n). Suppose -4*r + 3*u + b = -0, -4*u + 28 = 4*r. Solve k = 3*k - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, -2, -1 in increasing order.\nAnswer: -3, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/21 (b) 1 (c) 0.5 (d) 1.8 (e) 5\/2 (f) 0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0700932 + -17.56589208?\nAnswer: -17.63598528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10934 and 37114.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37119843 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/5 - 3212*n\/5 + 1289618\/5 = 0.\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/42*574\/(-1476) - 61*(-1)\/(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 5:43 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6097, 0, 0.03, 14?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 8*i + i + 4*i. Let t(m) = -13*m. Calculate w(t(f)).\nAnswer: 52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (-1 - -2) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 4, -22\/259, 1, 5\/2, 3, 6, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-30) + 38\/78 + 0. Let k = 118 + -2952\/25. Which is the closest to k? (a) o (b) -0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/((-4)\/(-36)). Let t(m) = -279*m - 27. Let c be t(u). Let p = 710 + c. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -44*w + 361. Give m(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-18) - 2 - (-2)\/3. What is the lowest common multiple of 42\/(-63)*9\/x and (3\/6)\/(1\/8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3737 and 449550.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -0.4 (c) 3 (d) -1 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-3))\/(4\/12). Suppose 0 = -3*l - 2*l + 5*y - 5, 3*y - 6 = 2*l. What is the smallest value in j, 0.4, l, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**3 + 3505*z**2 + 560275*z - 19317625 = 0.\nAnswer: -365, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1417*l**2 + 5664*l - 17. Calculate m(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 - (-4 - 1)) + -7 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 3585300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.5943 microseconds in seconds?\nAnswer: 0.0003365943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3447 + 13?\nAnswer: 3461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u - 11. Let r(h) = 1. Determine -i(c) - 6*r(c).\nAnswer: -6*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 3. Let p(s) = 2*s. Give k(p(q)).\nAnswer: 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -597.429888 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-four fifths of a microgram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i + 4533 + 0*i**3 - 4509 - i**3 + 3*i**2. Let v be a(6). Let d = 5 + -1. Solve j + d - 9 = v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210111202220 (base 3) in base 16?\nAnswer: -675d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + (-1 + sqrt(567))**2 + (-4 + (-1*sqrt(567))**2 - sqrt(567))*3.\nAnswer: -45*sqrt(7) + 2260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -694.\nAnswer: -1\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12290 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 1 - 19)*(-52 + 26 + 40)*(-4*z + 4*z - 2*z) + (1 + 0 + 0)*(-2*z + 0*z + 3*z).\nAnswer: -559*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-99)\/(-18))\/((-20)\/(-8) - 3). Solve 4*r + 7 = g*a, 0 = -5*r + 3*r - 4*a + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1499 = t, 0 = t + j - 2145 + 664. Calculate the greatest common divisor of 437 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*i - 18 = 0, 42 = 5*r - 4*i + 8. Let p be 1016\/(-5715) + (16\/18)\/4*-1. Which is the closest to -1? (a) r (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20505 - 20499. Which is the biggest value? (a) t (b) 3\/2 (c) 5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**4\/24 + 7*b**3\/6 + 2*b**2. Let z be (159\/7)\/(-3) - (-24)\/(-56). Calculate r(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = 2*p, 2*p = 5*t + 19 - 6. Let k be 2*(t + 2) + -4. Let f = -1 - k. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/5, -2\/5, -2\/7, -86\/37 in increasing order.\nAnswer: -14\/5, -86\/37, -2\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10261739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1196\/1789 - 10\/5367. Factor -c - 2*a**2 + 2\/3*a**3 + 2*a.\nAnswer: 2*(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22006430 (base 7) to base 8\nAnswer: 7140763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/15552 and -145\/2592.\nAnswer: 15552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.66546 weeks in minutes?\nAnswer: 137747.8368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/432 and -143\/866544.\nAnswer: 7798896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699857845 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1514, -5520, -12020, -21014, -32502?\n\"Answer: -1247*w**2 - 265*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3 = -5*h. Calculate the remainder when 5\/(-10) - 21\/(-2) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -420, 4, -1 in decreasing order.\nAnswer: 4, 1, -1, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 4\/(-5)*(-38)\/76. Put 0.5, -2\/7, -0.08, v, 1.2 in descending order.\nAnswer: 1.2, 0.5, -0.08, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(19) + (sqrt(152) + sqrt(152)*-4 + sqrt(152))\/sqrt(8)))**2 - -6*sqrt(1900)*4.\nAnswer: 171 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19164, -38342, -57522, -76704, -95888?\n\"Answer: -b**2 - 19175*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 5*u = -32*s + 30967, 3*s - 92841 = -3*u. List the prime factors of s.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - -7151?\nAnswer: 7166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/4)*r**(-6)*r*r*r**14\/r*r**13 assuming r is positive.\nAnswer: r**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 510 = 9*l. What are the prime factors of l?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4316 is divided by 525?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*x - 1. Let t = -307 - -309. Which is the nearest to 15? (a) 0.2 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**6\/720 - l**5\/120 + l**4\/6 + 22*l**3\/3 - 3*l + 42. Let i(g) be the third derivative of a(g). Factor i(z).\nAnswer: -(z - 2)*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 3. Suppose -3 + 0 = q, 3*h + 3 = 3*q. Let z(l) = -2*l**2 + 4. Let k = -4 + 3. Let x = k + 4. Determine h*n(u) + x*z(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.8991l in millilitres?\nAnswer: 213899.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7216.9 + 7217. What is the nearest to n in 5, -17, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:22 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 4. Let d be t(-4). Suppose 2*a - 12*a + 30 = 0. What is the first derivative of -a + i**4 + i**d + 6 wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5584 is divided by 2969?\nAnswer: 2615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**4\/12 - 5*b**3\/3 - 5*b**2 + b. Let g be (-3 - (6 + 0)) + 2. What is the units digit of a(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/4)\/(4\/(-8)))\/(20008\/(-488))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8302 (base 13) to base 2.\nAnswer: 100011010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - -91) + (-32 + 25 - 9)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 - 3*z + 2. Let p(r) = 2*r - 8. Suppose j - 5 - 3 = 0. Calculate the least common multiple of u(2) and p(j).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9282 by 21.\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/7, 1\/2, 12, -2\/31, 0.1 in decreasing order.\nAnswer: 12, 15\/7, 1\/2, 0.1, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 - -204. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2*b**3\/33 + 2*b**2\/11 - 2*b\/11 - 2263. Solve r(l) = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1503*-3.4\nAnswer: -5110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31191*d**3 + 174*d**2 - 25*d + 2 wrt d.\nAnswer: 187146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -770*h**2 - 46*h + 24. Determine j(-1).\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/3 + 91*j**3\/3 + 75466*j**2\/3 + 374324*j\/3 - 149960 = 0.\nAnswer: -230, -6, 1, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 4 + 3*j + 7*j - 4.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 15 = -0*v, 4*u + 4*v - 8 = 0. Suppose 2*y + 0*y - 288 = 5*r, u*y = r + 766. Round y to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1995 and 105.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1375 - 9634\/7. Sort -3, 0.4, l, -0.1.\nAnswer: -3, l, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0263854 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -61 (c) -1 (d) 25 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18773*m*s**2 + 70*m*s - 4*s - 23 wrt s?\nAnswer: 37546*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6.09*-0.03\nAnswer: 0.1827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -611800 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0835 and -0.45.\nAnswer: 0.037575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxu when three letters picked without replacement from {u: 4, z: 1, p: 1, x: 1, o: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12591, -25180, -37763, -50340, -62911?\n\"Answer: 3*c**2 - 12598*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*g + 7. Suppose -3*m + 4*k = -14, -m + k + g = 3*m. Solve -2*j = 2*j + m*i + 16, 0 = -2*i + 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 34. Let n be p(0). What is n rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvvccvcvvcclcccc. What is prob of picking 1 l and 2 v?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 269 + -445. Let u = 237 + i. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*i**2*r + 206*i*r - i wrt i?\nAnswer: 32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2263\/32 and -70 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469?\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187959, -375903, -563847, -751791, -939735, -1127679?\nAnswer: -1315623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 575889 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 5*c + s, 5663*s = -2*c + 5661*s - 54 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4718421438 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -5*f + 242, -2*t + 190 = 4*f. What is the remainder when 8 is divided by f\/10 - (-5)\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -32 + 6 + -29.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g + 1. Let p(r) = -2*r**2 - 4*r + 2. Let u(s) = 3*m(s) + p(s). What is u(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13030048 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -706490 rounded to the nearest 1000?\nAnswer: -706000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:38 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/16 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5649517 to one decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 5*b**4\/24 - 10*b**3\/3 - 2*b**2. Suppose 0 = 4*w - h - 65, -55 = -5*w + h - 5*h. What are the prime factors of g(w)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x**17)**(8\/5) assuming x is positive.\nAnswer: x**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m - 19. Let t be j(6). Solve -3*a + t = -4*i - 0*i, i + 7 = 2*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4885.\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 34205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1 + 20\/24). Let i(d) = 16*d - 236. Let j be i(15). Suppose j*a + u = 2*a. Sort -2, 3, a in increasing order.\nAnswer: a, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*r**3*v + 118662*r**3 + 1286*r*v + r with respect to v.\nAnswer: 18*r**3 + 1286*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -861.239 to 0 dps.\nAnswer: -861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6d - a?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41875, -41870, -41865?\nAnswer: -41860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(5\/30). Find u such that 3\/2*u**g + 1\/2 - 3\/2*u - 1\/2*u**2 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306912 and 2570.\nAnswer: 394381920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-154 + 54 - 65)*(0 + 3*s**2 + 0).\nAnswer: 990*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12036 and 1?\nAnswer: 12036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 11 = -7*r. Let h be (-4)\/(-1) - (2 - r). Suppose -3368 - 1196 = -h*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 12:50 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 725 = n, 4*n = -5*s - 768 + 18. Let r = 218 + s. Let x(v) = 2*v**3 + 2*v - 2. Let p be x(2). What is the greatest common divisor of p and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -71\/4 (b) 2\/3 (c) 4 (d) -1\/6 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, g: 2, r: 2, x: 1, l: 2}. Give prob of sequence grxr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x + 132. Suppose 8*b - 3*b - 185 = 0. Calculate the remainder when b is divided by y(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.425506 rounded to 2 dps?\nAnswer: 32.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1\/138, -3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4714, 9419, 14118, 18811, 23498?\n\"Answer: -3*q**2 + 4714*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**2 + 48*n - 144. Let h(c) = 4*c**2 - 48*c + 144. Let p(i) = 6*h(i) + 5*v(i). Solve p(k) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y*y*y**1*y)\/y*y)**(4\/9)\/(y\/y**(-2\/3)*y)**(1\/7)*(y**1)**(5\/9)\/(y*y**(-2\/11)*(y*y**(-7)*y*y)\/y) assuming y is positive.\nAnswer: y**(4867\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(500) + sqrt(500) + sqrt(500)*-3).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 82 + 6. Let f be -3*((-33)\/3 + 0). Let y = f - 18. What is the remainder when t is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -4006058?\nAnswer: -1\/4006058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63612 and 4497015?\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 16*m**2 + 4*m + 65. Let a be b(18). Let x = -296 + a. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -244*a**2 - 5*a. Let l(s) = -732*s**2 - 14*s. Let y(p) = 3*l(p) - 8*m(p). Let g be y(2). Round g to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4416.98 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -528 - -532. Which is the nearest to 2\/5? (a) 12 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774812477.\nAnswer: 3, 19, 31137061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 228158?\nAnswer: -4\/114079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = -2*n + 2*g, -3*n + 0*g - 456 = -2*g. Let v = n + 1203\/8. Are v and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2. Let r(n) be the second derivative of 2*n**4 - 10*n. Give r(q(s)).\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 32*r + 206. Let y(g) = 23*g + 138. Calculate -5*l(u) + 7*y(u).\nAnswer: u - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1573 = 5*z + 1655, -9*c + 4*z = -41 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 539 - 370. Suppose 6*k = 28*k - 638. Calculate the remainder when b is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*q + 9, -16 = -2*g + g + 5*q. Let s(a) = 5*a**2 - a + 2. Suppose -3*r + 5 = -10. Calculate the smallest common multiple of s(g) and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 17957686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(((-15)\/(-5))\/(-9)). Suppose 19 = 4*h + m, -k*m - 19 = -3*h + m. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 14 = 0. Let t(a) = 2*a**2. Let d be t(1). Suppose -d*o - 2 = -c. Solve -3*b - 6 = o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b + 4. Let t be 3*(5 + 4)\/(-1). Is (t\/(-6) + -2)*b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(-4 + 3 + 2)*((-2 + 4 + 0)*(k + k - k) - 5*k + k + 3*k + (0 + 2 + 0)*(2*k + 0 + 0)).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 107\/1227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80465028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/70 - -11936*(-2)\/(-7).\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 14, 583*o - 580*o - 2397 = -x. What is the remainder when x is divided by 593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 1216. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1592 - -2951. Suppose 13*r = n + 435. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 10*n**2 - 17*n - 26. Let h be s(7). Let x(b) = 51*b + 0 - 29*b - h - 29*b. Let k(g) = g**2 + 6*g + 2. What is 6*k(l) + 5*x(l)?\nAnswer: 6*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 663*m - 677*m + 42 = 0. Solve 1 = -m*r + 10*u - 12*u, 2*r - 4 = u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 28963318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 16*o**5 + 516*o**4 + 608*o**3 - 392*o**2 - 624*o - 124 = 0.\nAnswer: -31, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/1 + 0 + 0. Suppose -m*y + 24 = -5*d + d, 15 = 3*y - 4*d. Let q(a) = -a**3 + 2*a**2 + 8. Calculate the least common multiple of q(0) and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111458\/109 or -1022?\nAnswer: -111458\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 0 + (29 - 37).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*z - 20, 4*z + 4*j - 56236 + 56260 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1148.12819 + 0.6684.\nAnswer: 1148.79659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1865 divided by -15223?\nAnswer: 1865\/15223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + j**2. Let v(f) = -2*f**3. Give -5*h(n) - 4*v(n).\nAnswer: 3*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:02 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1d0538 (base 14) to base 12\nAnswer: -420a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*p**4 - p**2 - 4\/3*p + 4\/3 + 2\/3*p**3 = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.7 and 575.2?\nAnswer: 577.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 6*k - 3. Let r be c(-5). Let h be -1 + -26 + 1 + -4. What is the remainder when h\/(-9)*3\/r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11 - 4*c - 16 - 17 + 55*c. Is m(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 885*z**4 - 12392*z**3 + 54013*z**2 - 74462*z + 168 = 0. What is z?\nAnswer: 2\/885, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12))\/(6\/54)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 99, 23, 22?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*l - g, 3*l + 5*g + 3 = -7. Let w be l\/((-3 - -6) + -2). Let u be (-1 - 2)*6\/(-9). Solve -p + w = u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1210012 and 8110?\nAnswer: 6050060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*q - 5 + 5)*(-q - 4*q + 3*q)*(2*q**2 - q**2 - 3*q**2) in the form l*q**3 + i*q**2 + j*q + v + t*q**4 and give t.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 14) in base 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 5*u**2\/2 + 2*u - 13. Let r(q) = 1 - q - q - 5. Let i(n) = n + 3. Let y(p) = 5*i(p) + 4*r(p). Give -5*m(o) - 8*y(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1962 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4522 + 4522. Put 0.1, 5, -4, y in increasing order.\nAnswer: -4, y, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 429 - 425. Suppose -w - j = -5*w - 2*c, -2*c - 2 = 2*w. Solve -4*i + 2*r + 0*r = -6, w*r = 4*i - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23369418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/15))**(-35)\/(x*x*x**(2\/3)\/x)**(-43) assuming x is positive.\nAnswer: x**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -574*m. Let h(s) = s. Give h(w(k)).\nAnswer: -574*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25842.045 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18 + 31 + -24 + 11. Solve j - 2\/7*c + 0*c**2 + 2\/7*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 436 = 2*j - 764, -1800 = -3*j + 4*g. Let p = j - -88. Suppose -5*o = 5*w - 1735, 0 = 2*o + w + 4*w - p. Does 37 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*257\/((-48573)\/630)*6\/(-230)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392 = -749*h + 777*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404 by -26.\nAnswer: -202\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + x + 10 = -2*x, -x - 22 = 5*g. Sort 5, g, 0 in decreasing order.\nAnswer: 5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2456958 and 8220.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 973a7f + -5?\nAnswer: 973a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4 - 3*t - 4 + 4 - 4. Let g be f(-2). Find the common denominator of 117\/10 and (g + 61 + -2)\/(1*2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(sqrt(320) + (-1*sqrt(320) - sqrt(320))))\/(-2*(sqrt(112)*1 - sqrt(112) - sqrt(7))).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 2\/21, 31.5, -5, -0.3?\nAnswer: 31.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 22 - 28 = 2*x, 29 = -2*h - 5*x. Let z = h + 28. Calculate the greatest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(-1 - 10\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 8 = -2*r. Let j be (-3)\/1*3\/9*r. What is the units digit of 37\/((2 - j)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*y**5 - 10*y**2 + 7 wrt y.\nAnswer: -1800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.0476 - 0.0476. Let z = 40\/279 + -1\/31. What is the closest to -2\/7 in 1\/5, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -21 + 5. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -461, 4, 10, 3 in descending order.\nAnswer: 10, 4, 3, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {h: 11, x: 3, o: 1}?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - -322. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177 and 1888.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26880 by -960.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -263200124 - -3?\nAnswer: -263200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/10)\/n*n**(-1\/7)*n)\/(n**(-11)\/(n**(-4)\/n*n)) assuming n is positive.\nAnswer: n**(487\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1643795 or -1643806?\nAnswer: -1643806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 3889 and 3890 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -715*j + 715*j + 537*j**2 - 607*j**2 - 66*j**3 in the form a + z*j**3 + t*j + d*j**2 and give d.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 46 (b) 1\/4 (c) -5 (d) -0.1 (e) 493 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 97998?\nAnswer: -39199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*g + 249*g + 12*q - 188 = 0, 4*g + 4*q = 72 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 2*m + 3*m - m**2)*(11*m**3 - 3*m**3 - m**3).\nAnswer: -7*m**5 - 14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, -22, -0.3, -2\/11, -0.06, -3.13, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d**2 - 3*d - d**2 + 13*d**2 - 4. Suppose 3*b + 4*g - 8 - 12 = 0, 0 = -g + 2. What is t(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)\/m*m*m**(-1\/8)*(m\/((m**(2\/11)*m)\/m))\/m*m*(m*m\/(m*m**(2\/23)*m))\/m assuming m is positive.\nAnswer: m**(-31157\/2024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((94472\/5061)\/((-10)\/(-9)))\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let o = 18.9 + -16.92. Let d = o - -0.02. Sort d, c, -1\/2 in increasing order.\nAnswer: -1\/2, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 100\/(-125) + 6\/20. Sort -1, v, 25.\nAnswer: -1, v, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 - 5*n**2 + 3*n + 10. Let j be z(3). Is j less than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2. Let y(l) = 1749*l - 10. Let b(s) = -3503*s + 22. Let w(j) = 6*b(j) + 13*y(j). Calculate k(w(f)).\nAnswer: 5909922*f**2 + 13752*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:39 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**5 + 7*v - 5. Let n = -56 + 25. Let l = n - -26. Let q(t) = t**5 - 7*t + 4. Let k(w) = l*q(w) - 4*c(w). Find the second derivative of k(d) wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 201.1 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2. Let l(s) = -9447*s**2 + 8221*s**2 - 4*s + 4*s. Calculate l(r(a)).\nAnswer: -1226*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((2 - 3) + 2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.3 and 1287520043983?\nAnswer: 1287520043985.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8903286 - 1814971.\nAnswer: -10718257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33368247 by -28017.\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4872665 and 148120?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = 2*n + 5*d, -4*n + 4*d = 4. Let s = -19 + 14. Which is the nearest to 1? (a) n (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + w + 1. Let b(t) be the first derivative of -3*t**2 + 5*t - 140. Let z be ((-8)\/6)\/((-6)\/9). Let k(m) = z*h(m) - b(m). Calculate k(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 16*m**3 - 18*m**3 - 3*m + 2 - 5 - 3*m**2. Let d(x) be the third derivative of -x**4\/12 - 7*x**3\/3 + 9*x**2. Let j be d(-6). What is y(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 4 + 408 - 798 - 1862 + 6 - 2 - 3 + (-3 - 1 + 5)*(4 - 4 + 2) - 1 + 1 - 2)*(-3*b + 4*b + b) in the form g + n*b and give n.\nAnswer: -4498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 503819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4\/3 (b) 0.8 (c) 1 (d) 1396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 134325745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 1. Let c be (6\/(-2) - -2)*(2 - 4). Let d be j(c). What is the units digit of 2*d\/6 + (-49)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 0.1 (c) 21 (d) -1 (e) 42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-6)\/63)\/(24\/84))\/(0 - -1). What is the third smallest value in -20, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7095 or 6221?\nAnswer: 6221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/14 (b) 51 (c) 11\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxr when three letters picked without replacement from arxplrrrr.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-800)\/320)\/(5\/(-255058)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y - 6. Suppose 3*x - 2*x + o - 9 = 0, 0 = -5*x - 4*o + 41. Let v be j(x). Suppose -l - 539 = -v. Round l to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1985 in descending order.\nAnswer: 5, 3, -1985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -602 - -903.8. Let r = 301 - u. Which is the third biggest value? (a) 0.1 (b) -2 (c) 0.3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-4)*((-6)\/(-48))\/((-8008)\/(-3328)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*y + 963 = -3902, 2*d - y - 2433 = 0. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (73 - 70) + (-2)\/((-4)\/22). Let v = 17 + g. What is the remainder when 115 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 4*o**2 + 2*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.2 and -0.207.\nAnswer: -1.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u*y**6 + 1335460*u*y**4 - 3*u*y**2 - 466715*u*y + 2*y**2 wrt y.\nAnswer: 120*u*y**3 + 32051040*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.1, 0.5, -745, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -4, 8 in decreasing order.\nAnswer: 8, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(396) + -1 - sqrt(396))**2*-4 - sqrt(396) - sqrt(396)) + (0 + sqrt(396) + 3 - sqrt(396)) + -1.\nAnswer: -12*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -452 + 446. Let w(u) = 11*u + 140. Let n be w(l). What is the greatest common factor of 6 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2\/7 + 769670*d\/7 + 372051768\/7 = 0.\nAnswer: -384351, -484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7323 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/123 and -71\/1476.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.2, 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 3*w + 3*b, -w + b + 2*b + 98 = 0. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*k**3 - 14*k**3 + 1 - 3 + 13*k**3 in the form v*k + u*k**3 + m + r*k**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = 0. Suppose -12 + 4 = -5*y + g, n = y + g - 4. Suppose -806 = -i - 3*z, 0*i - i + y*z = -831. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120141.9cm to micrometers.\nAnswer: 1201419000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2. Let f(c) = 13*c + 2. Let u(i) be the first derivative of 11*i**2\/2 + i + 18. Let q(r) = -2*f(r) + 3*u(r). What is q(w(g))?\nAnswer: -14*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 33\/6 + 35\/(-10). Is 27 a factor of (9 - 7) + (b - (-320)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144159084.\nAnswer: 2, 167, 1712813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 6*y**2 - 6*y + 2. Let w = -348 + 343. What is z(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**4 - 22*p**3 + 2*p**2 + 2*p - 2222 wrt p?\nAnswer: 60*p**2 - 132*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -490.1398027 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -5, 136985 in decreasing order.\nAnswer: 136985, 3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 bigger than 19.598988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34104 - -34106. Factor -2\/9*c**3 + 2\/9*c + 2\/9 - 2\/9*c**w.\nAnswer: -2*(c - 1)*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3 - 1926*a**2 - 1236492*a - 264609288 = 0.\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -62*d**2 - 138*d + 7. What is b(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*a - 9 = 0, -2*a + 7*a - 23 = d. Suppose d*o + 2*o - 20 = 0. Solve -2*c + 5 = o*j - 13, 3*j = -4*c + 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.5 + 28.4. Let s = i - -2.3. Which is the closest to 0.1? (a) -0.09 (b) -5 (c) s (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyx when three letters picked without replacement from {x: 7, y: 2, w: 2, k: 2, u: 1, g: 1}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1900) + -1 + sqrt(1900) + 0 + sqrt(1900) + 1 - (-3 + sqrt(1900) + 0 + 4))**2.\nAnswer: -160*sqrt(19) + 7616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 351104570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2. Let h(o) = 31*o - 1 - 45*o + 4. Let x(j) = 154*j - 34. Let y(n) = 68*h(n) + 6*x(n). Determine t(y(l)).\nAnswer: 1568*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 805 times -0.3\nAnswer: -241.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + s - 1. Let x(v) = -v**2 - v + 1. Suppose 2*q = 3*z + 13, 0*q + 2*z = -4*q - 14. Let h(f) = q*b(f) - x(f). Let l(u) = 3*u. Determine l(h(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 + 837 - 423 - 414.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 261 - 105. Let v = -152 + m. What is the second biggest value in -2\/11, -4, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 3*t + 3. Suppose -m + 4 = 1. What is j(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - i**2 - 6. Let b(c) = c**2 + 7*c + 6. Suppose -2*j - 1 = -3*j. Suppose j = h + 7. Let s be b(h). Determine g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 156?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -15. Let l(o) = -o**3 - 8*o**2 + 7*o - 12. Let a be l(d). Solve h - a*h - 10 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/5, -1, 2, -8\/5, 87?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1752*j**3 - 1825*j**3 + 5601*j**3 - 1868*j**3.\nAnswer: 156*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-616)\/44)\/(5*(-1)\/(-5)*1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/45 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = 0, -15*f - 32 = -17*f - x. Sort -1\/8, 1, f in increasing order.\nAnswer: -1\/8, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8\/7))**(-37)\/(q**(-18)\/q)**(-1\/35))**8 assuming q is positive.\nAnswer: q**(11688\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1541942 or -1541943?\nAnswer: -1541943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1 + 2 + 186163*s - 186377*s - 3. Let w(a) be the second derivative of a**4\/12 + 27*a + 1. Give n(w(b)).\nAnswer: -214*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 minus 163?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5697438?\nAnswer: 2, 3, 571, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.021, 0, -1683, -3\/7.\nAnswer: -1683, -3\/7, 0, 0.021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*a*b**4 - 858*a*b**3 - 50*a*b**2 - 2*a*b + 2*a - 147*b**3 + 2*b**2 - 1167*b - 3 wrt b?\nAnswer: -672*a*b - 5148*a - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + ((-7 - -6) + 4 + 10 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66689*k**2 - 2007*k**3 - 66689*k**2)*(0 + 0 - 4*k**2).\nAnswer: 8028*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhhuuhuuhhhuuhuhhu. Give prob of picking 1 u and 1 h.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y + 1)*(0 + 0 + y + (0 - 4 + 2)*(-3 + 3 - 2*y)) - 5*y + y**2 + 5*y.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 5*p - 5*p - 2 + 2 - p + 0*p + 4*p - 2*p + (1 + 3 - 2)*(2*p - 4*p + 3*p) - p - 2*p + p - 14*p - 2*p + 134*p.\nAnswer: 121*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:36 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 264*q + 199*q.\nAnswer: 478*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252265550 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6435\/1430*50\/9\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 443811203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**4 + 40555*w**3 + 1051455*w**2 + 3271905*w - 20374200 = 0.\nAnswer: -8085, -21, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1634, 8 in descending order.\nAnswer: 1634, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f. Let n(s) = 17*s - 11. Let x(t) = -9*t + 6. Let m(v) = 6*n(v) + 11*x(v). Give w(m(l)).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -114608.11 * 1.9\nAnswer: -217755.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhmmhmr. Give prob of sequence hhmr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p**2 - 2*p + 11200. Let y be u(0). Let c = y - 7932. Is (-78)\/130 + c\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 3, n: 3}. What is prob of picking 2 n and 1 p?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24632 (base 7) to base 5\nAnswer: 201431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2918.06504 rounded to the nearest 100?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/4 + 1569*y**3\/4 + 7807*y**2\/4 - 20325*y\/4 + 2737 = 0.\nAnswer: -1564, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260568756?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 1c?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 90 + 1620. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.36551 millimeters in meters?\nAnswer: 0.04036551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5488500 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 21*d - 8. Let t be f(11). Suppose 0 = t*h + 3*o - 6, -3*o + 0 = h - 6. Is 797 - (h + 6\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 + (0 - -1 - 20) + -1528 + 1533\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(200) - (sqrt(200) + (sqrt(200)*-2 - sqrt(200)))) + sqrt(200) - sqrt(200)) - sqrt(200))*-2)**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 49.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 3, c: 2, d: 1, g: 12}. What is prob of sequence dci?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**2 - 1 - u**2 - 6*u + u + 0. Calculate the remainder when 86 is divided by k(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3312919*o + 409 - 409 + 3312915*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863*m + 3500 = -738*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 0.029058675.\nAnswer: -2.970941325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.272? (a) -2\/3 (b) -0.4 (c) 5 (d) -3 (e) -27 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 6*m**2 + 4*m**2 + (3 - 3 - 2*m**2)*(-1 + 1 + 1) + 24262 - 1122*m**2 - 24262 in the form h*m**2 + d + o*m and give h.\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - a - 0 + 4, -16 = -3*f - 4*a. Suppose 4*c - 19 - 13 = f. Let v(j) = 30*j**2 + j + 1. Calculate the remainder when v(-1) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*v + 12, -4*z - v = -22 - 20. Let w = -7 + z. Suppose -4 = -w*c - 1. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -87*k**3 - 292*k**2 - 19*k - 38. What is d(-3)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 39.53156 tonnes?\nAnswer: 39531560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 2*n + 2. Suppose 4*j = 139 - 11. Suppose -j = -3*c - c. Suppose 0 = -2*i - 4 + c. What is b(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 + 257.3. Let c = d + -371. Is c bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2105 and 68623?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 52137.57?\nAnswer: -1668402.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300007 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*w + 1048*w - 87837 = -900*w for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/((-60)\/(-25)))\/((-3)\/9). Let i = -11.1 - -11. What is the smallest value in -5, i, h, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*q = -0*q + 24, -5*q - 6 = a. Let k(x) = 7*x - 5. Let y(l) = 8*l - 6. Let t(u) = a*y(u) - 5*k(u). What is the derivative of t(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -27*c. Let m = 162 - 158. Solve -y = m*g + 16, c = -4*g - 2*y + 5*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (4869\/465 - ((-122)\/5 + 24))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75971077.\nAnswer: 7, 13, 149, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -147, -319, -527, -765, -1027?\n\"Answer: h**3 - 24*h**2 - 107*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 5*n**3\/6 + n**2 + 11*n. Let w be u(-1). Let j(h) = -2*h**3 - 2*h**2 - 3*h - 6. Is j(w) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s + 2. Let w(i) = -4*i - 1. Give 3*q(h) + 8*w(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263789 and 4012.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/59 or -1?\nAnswer: -10\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5159375, -5159383, -5159395, -5159411, -5159431, -5159455?\n\"Answer: -2*o**2 - 2*o - 5159371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-311)\/7 - 33\/(-77). Let u = k + 85. Let i = u - 29. Calculate the greatest common factor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -426 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.9 - -3.3. Let b = j - -23.6000099. What is b rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*f**4*k + 728*f**4 + 2*f**3*k - 3*f**2*k - 14*f**2 - 2*f*k - 14*f wrt f?\nAnswer: -96*f*k + 17472*f + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7432844 and 5?\nAnswer: -37164220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 27\/7)\/((-34740)\/121590) - (-1342)\/134?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10978.\nAnswer: 2, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -20. Let f(q) = -7*q + 4. Let w(m) = 6*m - 5. Let r(k) = 5*f(k) + 6*w(k). Let a be r(u). Put 5, a, 0 in decreasing order.\nAnswer: 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199398776 to the nearest integer?\nAnswer: 14121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-20)\/8 - 2. Let b be 2\/w - (-275)\/15. Calculate the highest common divisor of b and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 39*t + 181. Let p be d(5). Does p = -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 11385?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(-5)*t*t))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5, 3*m = -0*m - 2*o - 4. Let x(l) be the first derivative of 1\/2*l**m - 7\/4*l**4 - 4\/5*l**5 - 2\/3*l**3 + 0*l - 3. Let x(u) = 0. What is u?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m + 14*m + 11*m + 41*m + 26*m.\nAnswer: 71*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/(2\/1)). Let f be ((-22)\/8 - -1) + l. Let n(b) = b + 6. Let r be n(-7). Are r and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -3*w + 32, -5*b = 4*w - 5*w - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:56 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2*n**2 + 2*n + 290. What is v(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(54\/(-6)))\/((-5)\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 3405\/7*k - 243\/7*k**2.\nAnswer: -3*(k + 14)*(81*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 201*y**2 - 20*y - 4016. Give f(-201).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9872006, 19744060, 29616114, 39488168, 49360222, 59232276?\nAnswer: 69104330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61760877.23 less than 0.5?\nAnswer: 61760877.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -214.74.\nAnswer: -208.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -225*k + 375 + 58*k**2 - 3*k**3 - 4*k**2 - 9*k**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*v = -839 + 853, -2*j = -v. Solve -24*z + 4*w + 1 = -21*z, 5*z + 7 = -j*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*3\/27)\/(399\/14364)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 16 = y, -2*y - 3*i = -i + 8. Let o = 7 - 10. Put o, y, -2 in descending order.\nAnswer: y, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2034 + 3256 = 2*g, 0 = -v + 2*g + 1750. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1273 + -701. 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(m) = m**3 - 8*m**2 + 3*m + 9. Let j be d(7). Let z = -1339\/42 + 171\/14. Let h = z - j. Is 3\/4 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = -3*a + 19*w + 18, 3 = 3*a + w. Let y be (-6)\/(-4) - (-10)\/4. Suppose 2*n + 2*d - 2 = -n, -5*n - 4*d + y = 0. Solve n*r = -a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*w - 281*w + 12*l - 175 = 0, 2*w - 3*l = -2*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {b: 1, a: 2, p: 1, t: 4, o: 2, g: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2074843953.4824 - 0.8.\nAnswer: -2074843954.2824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrjrjojjoorjjjojoo. Give prob of sequence jo.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -36) + 1 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -29.95, -0.036, 0.5, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 20*c - 9. Suppose -c*p + 7 = -11. Solve -6*t - 10 = -t - 2*s, -p = 3*t - 3*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 66. Suppose 0 = 5*t - 8 - 7. Suppose t*r + 14 = 35. Calculate the remainder when n is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**2 - 9*i**3 + 5*i**2 + 4*i**3 wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 - 32 = 5*u. Let r(z) = 36*z - 2613. Let h be r(73). Let f be ((-252)\/h)\/(-4 - (-148)\/u). Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**3 + 5*a. Let f(c) = 4*c - 20*c**3 - 11*c + 25*c**3 + 5*c + 8*c. Give 6*d(l) - 5*f(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1097795*x + 1. Let i(s) = -6*s. Give o(i(y)).\nAnswer: 6586770*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 12 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 82282.7 days?\nAnswer: 1974784.8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*l + 17, -3*g = 3*l - 7*l + 14. Suppose -a + g*s = -146, a + s - 104 = 36. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 85 = 4*s - 119, 4*f - 5*s + 10 = 0. Let t(n) = n**2 - 7*n + 1. Give t(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/17))\/(u**(-8)*u*u)*(u\/(u\/u**(2\/3))*u*u)\/(u\/((u*u\/(u*u**(-2)))\/u))*(u**10*(u\/u**(-2\/9))\/u)**(-1\/15) assuming u is positive.\nAnswer: u**(22646\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -0.3 (b) 3\/7 (c) -2\/19 (d) -162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w + 2. Suppose 4*n + 6 = -b + 6*b, -2 = b. Let j(x) = -794. Let g(s) = -353. Let h(u) = 9*g(u) - 4*j(u). What is n*h(a) - v(a)?\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 - -98. Let j(r) = 5*r**2 + 3*r + s*r + 5 + r**3 - 5*r. Calculate j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/3)\/(v\/v**(2\/15)))**(-5\/12)\/(v**1*v**(2\/11)\/v*(v\/(v\/(v\/v**0)))**(-35)) assuming v is positive.\nAnswer: v**(13711\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(5) - (-2 + sqrt(5)))*6 + -4 + (0 + sqrt(180) - (-3 + sqrt(5)*3)**2).\nAnswer: 2 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 70 = -y, 3*y - 19*u = -14*u + 208. Let g be (8\/(-10))\/(4\/(-110)). What is the greatest common factor of g and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*b - b + 0*b)*(-6 - 1 - 2) + 3*b + b - 7*b)*(-3 + 3 + b) in the form l + o*b**2 + d*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 366 and 14925360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-l - 4*l + l)*(0 - 2 + 4) + 2*l + 0 + 0.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -114*m**3 + 431. Let i(h) = -2*h + 13. Let w(p) = -p + 6. Let c(b) = -6*i(b) + 13*w(b). Give c(t(y)).\nAnswer: 342*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9830 and 139391366.\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 844925 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*a - 37*a + 2079 = 11*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(637)*-3*-4 + 1*sqrt(637) + 5))**2.\nAnswer: 910*sqrt(13) + 107678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.28 + -1.12. Let w = m - -66.4. Let n = -64.2 + w. Is -2\/7 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28469\/10593 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*u**4 + 0*u**4 - 20*u**4 + (3*u - u + 0*u)*(-3*u + 2*u**3 + 3*u).\nAnswer: -38*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*i - 2*i**4 - i**2 - 12 + 5 + 6 to p*i + s*i**4 + f*i**2 + v*i**3 + x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, h: 1, u: 11, i: 1, l: 1}. Give prob of sequence luu.\nAnswer: 11\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 2. Let g be h(-2). Let b be (18\/45)\/((-1)\/g). Let n = b - -17. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4381007 - -0.556.\nAnswer: 4381007.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/15*3)\/(2\/8). What is the nearest to -7 in j, -0.5, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 7:01 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l - 9*l + 7*l)*(-3 + 4 + 0)*(0 - 2 + 1) to b*l + j and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0067+20\nAnswer: 20.0067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 4, e: 3, p: 2}. What is prob of sequence pcq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-3)\/10461) - -2. Let x = r - 4889. What is x rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -681 + 3424*i + 3407*i + 680 + 0 - 1 - i - i + (3*i - 2*i + i)*(0 + 1 - 2).\nAnswer: 6827*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/51)\/((2*-1)\/2). Let i(s) be the third derivative of g - 3\/40*s**4 - 7*s**2 + 1\/100*s**5 + 0*s**3 + 0*s. Factor i(y).\nAnswer: 3*y*(y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 5:25 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*(-1*sqrt(13) - sqrt(13)))**2 + (sqrt(1053) + 0 - sqrt(13))).\nAnswer: -624 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 1)\/(5\/(-10) + 2). Suppose -3*b + f*b - u + 8 = 0, -2*u = 0. Which is smaller: b or 51\/7?\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 5\/4, 3, 2, 5, -104\/11, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/56)\/((-63)\/(-84))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -15) + 3780\/(-340). Let w = 2 - 6. Which is the third biggest value? (a) 1 (b) g (c) 0.4 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.005852 and -5.\nAnswer: -5.005852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 31.2\nAnswer: 9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {y: 1, f: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**6\/24 + 3*y**4\/8 + 3*y**3\/2 + 14*y**2. Let w(f) = f**3 - 2*f - 2. Calculate 4*m(l) + 18*w(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(171) - 6*(-1 + sqrt(171))) + sqrt(171) + sqrt(171)*3*-6))**2.\nAnswer: -12672*sqrt(19) + 1324800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 10*f - 21. Let c = -4 + f. Solve n = -c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 812800.3 years?\nAnswer: 81280.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 12 = -3, 3*f - h = 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let i(d) = -6*d. Let w = 528 - 523. Let y(j) be the second derivative of -7*j**3\/6 + j. Let s(t) = w*i(t) - 4*y(t). Give l(s(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 254.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i**5 - 504*i**4 + 12000*i**3 - 55*i**5 + 19*i**4 - 8412*i**2 + 4692*i**2 - 7800*i**2 = 0 for i.\nAnswer: 0, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*r**2 + 12 + 13*r**3 - 15*r**3 - 78*r**2 + 41*r**3 to i*r + o*r**3 + y + w*r**2 and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -310a (base 14) to base 16\nAnswer: -20f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 86*x - 87. Let j be k(-44). Solve j = 4*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1769 by 3.\nAnswer: 1769\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -313014.\nAnswer: -156507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 85054 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5680.0020181 + -5680. Round h to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 24314 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 9*n**2 - 1. Let s be o(-9). What is the remainder when 54 is divided by s\/(-2)*-10*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48733283912 minus 0.4?\nAnswer: -48733283912.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10*r**2 + 12*r**2 - 12*r**2 - 7*r**2. Let g(h) = -1. Let a(w) = w + 5. Let v(y) = -a(y) - 5*g(y). Give v(o(f)).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*z + 17 + 46 = 0, 2*z + 42 = 4*j. What is the lowest common multiple of 22 and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*3\/6)\/(13\/26).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-33))\/(6\/(-90))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4173301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214089213 - 1214089217 + 2*z + 2428178430.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/13 + (-16)\/(-2). Which is the third biggest value? (a) 1\/8 (b) r (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccppppppppc. Give prob of picking 1 p and 3 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 3*k - 126 + 67.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m. Let x(y) = -416*y + 1580. Determine x(h(v)).\nAnswer: -1664*v + 1580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 - 272*f**3 + 10602*f**2 - 102852*f + 220320 = 0. What is f?\nAnswer: 3, 10, 51, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 17, 4, 5, 2.\nAnswer: -162, 2, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2334*-0.11.\nAnswer: 256.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -646\/7 - -92. Are 0 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1810*k**2 - 17*k - 18. Let j be q(-1). Let a = -1180 - j. What are the prime factors of a?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/15)\/((-11)\/33).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 4625?\nAnswer: 13875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10545 by -2.\nAnswer: -10545\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011100101 - 10100110111?\nAnswer: 10010110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -12. Let r be (-49)\/w - 3\/(-2). Does 18 divide (r - (4 + -6)) + 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 16.6377239.\nAnswer: 16.2377239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**5 - 2*r**4 + 4*r**3 + 14*r**2 - r + 8. Let i(g) = -g**3 - g**2 - g - 1. Let c(h) = 6*i(h) + x(h). Factor c(n).\nAnswer: (n - 1)**4*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 + 2.6. Let i = -0.2 + r. Let u(p) = -p + 2. Let q be u(7). What is the closest to i in -4\/5, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/60 - r**4\/24 + 4973*r**2. Let u(f) = -16*f**2 - 10*f - 2. Determine -12*j(y) + u(y).\nAnswer: -4*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 11:50 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14157948 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 27778*a**2 - 2*a - 8. Let p be c(-3). What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-12))\/5*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h - 119. Let s(f) = 14*f + 240. What is -9*b(t) - 4*s(t)?\nAnswer: -2*t + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2620 - -2629. Suppose u + 15 = 4*x, 2*x - 3*u - 1 = x. Suppose x*j - 16 + 0 = 0. Solve -j*w - 1 = 5*a - 0, -3*w - a = z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35 + 116*j - 3855*j**3 + 25 + 52*j**2 + 3851*j**3.\nAnswer: -4*(j - 15)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57.4 - -312.6. Let x = o - 606. Let c = -236.000000545 - x. What is c rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9901263 - 0.0098737. Let y = 3.925 + -4. Is y bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f*f**1)\/f)\/f))\/f**(-14))\/((f**(-4\/3)\/f)\/f*f\/f**1) assuming f is positive.\nAnswer: f**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 318.\nAnswer: -11\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 15. Suppose h*p - 45 = -4*n, 4*n - 24 - 19 = -3*p. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12) - (0 + 15\/(-27))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 976427676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/3)*z)**(-18)*z**(2\/15)\/z*z*z**(2\/3)*z)\/(z**(-2\/7)*z**2)**2 assuming z is positive.\nAnswer: z**(-1527\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-10)\/u)\/u**(-2\/5))**41)**41 assuming u is positive.\nAnswer: u**(-89093\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 26*p + 12. Let z be l(-24). Suppose 15*b - 10*b = z. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46046 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 2\/5, 28?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2 + (4 - 3)) - 93. Let l = -74 - m. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4259*r - 143 = 4246*r. Let t(y) be the first derivative of -r + 11\/2*y**2 + 0*y. Let p(h) = -3*h**2. Determine t(p(v)).\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7483 + 7483.000017821. What is y rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*q = -2 - 18, -9*c + 64 = -2*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(((((o**(-2\/5)*o)\/o)\/o)\/o*o)\/o))*o**(3\/4))**(-33) assuming o is positive.\nAnswer: o**(429\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26222 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.195 - -0.105. Let j = r + 0.7. What is the second smallest value in 2\/7, -1\/5, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 65.9878.\nAnswer: 66.3878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (312\/(-30) - -6)\/(4\/(-10)). Suppose 58 = 13*h - j*h. What is the greatest common factor of h and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14495 + -1?\nAnswer: 14494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1) + 116*2. Calculate the greatest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852423 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/105)\/(2243\/16860 - (-68)\/(-510)). Which is the third biggest value? (a) 3 (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 32*s**2 + 12*s + 12. Let i(m) = 10*m**2 + 5*m + 5. Let v(b) = -31*b**2 - 15*b - 15. Let u(d) = 8*i(d) + 3*v(d). Calculate -5*f(g) - 12*u(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1620 or 12949\/8?\nAnswer: 12949\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(36)\/sqrt(6)) - sqrt(5))*-3 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1042+-2.1762\nAnswer: 1039.8238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*a + 32, 2*p = 4*a + 17 + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 3 - 2 - 1 + 2.\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raaarnrarkra. Give prob of sequence raan.\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = f - 22, 4*f - 5*x - 49 = 12. Suppose f*q - 15*q - 28 = 0. Let n(t) = 7*t**2 + 6*t - 4. Is n(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2872, 2871, 2878, 2899, 2940, 3007?\nAnswer: 3106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1459*r**4 - 6201*r - 3 - 1 + 4 + 5282*r wrt r.\nAnswer: 17508*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3087 (b) -27 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 480*b. Let o(a) = 29*a. Let h(l) = 33*o(l) - 2*z(l). Let m(r) = 58*r**2. Give h(m(u)).\nAnswer: -174*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 7*p - 2*x - 42, -5*p + 3*x = -43. Let d = -4 + p. Find s, given that 0*s - 11*s**4 + 3*s**d + 2*s + 6*s**2 - 10*s**3 + 8*s + 2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6)*2)\/(189\/(-81)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(1 + sqrt(1088) + 1))**2 - ((sqrt(544)*-1)\/sqrt(2) - (-3 + (sqrt(17) + -2*sqrt(17)*-3)**2)).\nAnswer: 804*sqrt(17) + 28128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 194 - 9*y**3 - 194.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*s = 227*s + 9981375. List the prime factors of s.\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 139 - 140 = t, c + 3 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5720 by 1144.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 93, 1 in increasing order.\nAnswer: -6, 1, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*x - 714*x - 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/5 + (-34)\/(-2). Suppose -16 = -17*i + w*i. Let v(o) = 2*o**3 - 3*o + 2. Let m be v(2). Solve -m = -i*d + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 12*w**2 + 13*w + 17. Let c be y(-13). Calculate the greatest common factor of c and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9439*o + 9444*o + 32 = 3*k, -o = -5*k + 90 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y + 36*y**4 + 17*y - 1 - 144*y**3 - 59*y - 124*y**2 + 1 = 0 for y.\nAnswer: -1, 0, 1\/3, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 12:18 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/d**(-26)*d)\/d**(-6))\/(d\/(((d*d**(-5\/3))\/d)\/d))**27 assuming d is positive.\nAnswer: d**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24034 (base 9) to base 11.\nAnswer: -11089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 10:49 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let n be 1\/(2\/(-5)) + 1. Let a be (-24)\/138 + ((-231158)\/4715 - -49). What is the second biggest value in 0.5, a, v, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 7. Suppose 4*j - 2*y = 26, l*j + 3*y - 65 = -y. List the prime factors of (-2)\/j - (-152)\/36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 5.3. Let q = s - 4.8. Let m = 0.1 - 0.3. What is the third smallest value in m, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -743, 671\/6, 14 in increasing order.\nAnswer: -743, 14, 671\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-42))\/(4\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)\/(4*(-5)\/(-70) - (-4977)\/588)\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 20*f + 39. Let o be p(-2). Which is the nearest to -2\/9? (a) o (b) 0.5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -881, 18\/7, -3\/4, -14.\nAnswer: -881, -14, -3\/4, 0.5, 18\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -70 in descending order.\nAnswer: 4, -13, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7273, 14609, 21951, 29293, 36629?\nAnswer: 43953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-98178)\/(-4))*(-19 - -21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let c(a) = -10*a. Let f(x) = -c(x) - 12*j(x). Let k(z) be the third derivative of -3*z**5\/10 + 65*z**2. What is f(k(s))?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1663, 6552, 14681, 26062, 40707, 58628?\n\"Answer: 2*m**3 + 1608*m**2 + 51*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -17) + -1 - (4 + -2 + -9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 27*f**3 - 4*f**2 - 6*f + 23. Let n(y) = y**3 - y**2 - y. Determine -6*n(a) + z(a).\nAnswer: 21*a**3 + 2*a**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 12*v - 17. Let f be q(-10). Suppose 15 + 513 = f*k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -239 - 11?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 6*n**2 + 4*n - 9. Let b be m(6). Let s = 40 + -40. Suppose u - 3 = s, -j + 4 = 5*u - 16. Solve -j - b = 5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 2:24 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 12:00 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47218130 and 1?\nAnswer: 47218130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 897618 divided by 3?\nAnswer: 299206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(192) + 0 + sqrt(192) + 5))**2 + -4 + -1 + -5.\nAnswer: 1536*sqrt(3) + 12422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 1779 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5838 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63431335 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6228638?\nAnswer: 2, 13, 41, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -18*w**2 + 2*w. Let l(c) = 622*c. Calculate y(l(h)).\nAnswer: -6963912*h**2 + 1244*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c. Suppose -36*d + 131 = 23. Let a(r) be the second derivative of -2*r**3\/3 - r. Determine d*l(w) + 5*a(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*y - 59, -4*y + 5*h = -51 - 12. What is the smallest common multiple of 2 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3637\/5 + -727. Which is the closest to -2? (a) 2 (b) -1\/3 (c) f (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 m when three letters picked without replacement from kokocmo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -114411504 (base 6) in base 3?\nAnswer: -11002200222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 16*l**2 - 16*l - 7. Let b be x(-15). Let i(c) = 3*c + 15. What is the tens digit of i(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 + w**3\/6 - 5*w**2 - 27*w. Let v be l(3). Differentiate 2 - v + 32 - 3 + 29*i**3 with respect to i.\nAnswer: 87*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -19 + 340\/34 + (-62)\/(-6). Solve i*p**3 + 1\/3*p**2 + 2 - 11\/3*p = 0 for p.\nAnswer: -2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 13, -8685 in ascending order.\nAnswer: -8685, 13, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1240 * 146\nAnswer: 181040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 + 8 = 0. Suppose 5*y = 20, 5 + 3 = -2*u + q*y. Find the third derivative of a**2 + a**6 - 4*a**2 + a**u wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -343*j**4 + 979*j**4 - 373*j**4 + (1 - 1 + j**4)*(4 - 3 + 2) + 8 - 8 - 2*j**4.\nAnswer: 264*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 213628 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.9 + 61.9. Let d = 4\/397 + 766\/2779. What is the closest to 10 in w, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2520*g**2*u**3*v**3 + 2*g**2*u*v - 4863*g*u**3 - 2*g*u*v**3 - u**3*v**2 wrt v?\nAnswer: 15120*g**2*u**3 - 12*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/y**(-1\/13))\/y)\/(y*y**(1\/2)))**(-1\/41))**(11\/6))**34 assuming y is positive.\nAnswer: y**(6919\/3198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/48)\/(155\/(-372)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1953\/5115 - (-2)\/(-10). Which is smaller: a or 46?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6201 - 12399\/2. Find m such that -3 + 3\/2*m**2 - z*m = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 880576?\nAnswer: 1\/220144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -5*sqrt(77)*-2 - (sqrt(77) + ((sqrt(77)*3 + sqrt(77))*-6 - sqrt(77))))\/(sqrt(63)*4 - (sqrt(70) - (1*sqrt(70) - sqrt(70)))\/sqrt(10)).\nAnswer: 15*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -51, -44, -39, -36, -35?\n\"Answer: -n**2 + 12*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -102.4 (b) -2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22973.\nAnswer: 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 2 = 12*p. Suppose 2 = 2*t + s + 3, -5*s - 5 = p*t. Suppose t = -3*i + 17 + 19. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 + d**3 - 5*d**2)*(-2*d + 2*d - d) - d**4 + 0 + 0 + (87 + 10*d**3 - 87)*(-2*d + 3*d + 0*d) - 4*d**4 + 2*d**4 - d**4.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*j - 37, -253 = -3*j + t - 264 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50243837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46643, -93295, -139947, -186599?\nAnswer: -233251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 170848387, 341696773, 512545159, 683393545, 854241931, 1025090317?\n\"Answer: 170848386*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 14) + (22 + -7 - 21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -608 + 1686. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6 = -4*q, 2*d - 3*q - 6 - 11 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 13*g**2 + 14*g + 26. Let f be d(-12). Let s = 5 + -4.6. Which is the closest to -2\/5? (a) -5 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5293912.3193 and -4.\nAnswer: -5293916.3193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/(-18)*3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2298\/18767)\/((-5)\/70)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert -417 (base 14) to base 6.\nAnswer: -3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s - 4*w, -15 = -4*s + w + 2. Suppose 4*h - 8 - s = 0. Let d = -17 - -17. Solve d = i + h for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 + 17.\nAnswer: 17.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*0\/(5 - 3). Suppose -3*v - 5*j + 89 = -323, d = 4*v - 3*j - 530. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/9 + 1198*p**3\/9 - 119600*p**2\/3 - 1198*p\/9 + 358801\/9 = 0.\nAnswer: -1, 1, 599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 + -102. Let s = h - 43. Which is the nearest to s? (a) 0.8 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*a - 2 + 0 = 0, 6 = 2*a. Suppose 2*k = 6*z - 4*z + 8, -n*z = 3*k + 9. Suppose 4*j - b = 2*b + k, 3 = -j + 4*b. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + v - 1 = -2*v, -w + v - 1 = 0. Let n(f) = -f**3 - f**2 + f - 1. Let s(c) = c**3 - 2*c**2 - 5*c - 1. Let z(g) = w*n(g) - s(g). Determine z(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 - 4*j + 4. Let b(c) = 627*c**2 - 339*c + 371. Let w(g) = -418*g**2 + 227*g - 247. Let l(a) = 5*b(a) + 8*w(a). Determine 4*l(q) + 121*u(q).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + s - 4*s)*(4*s - 2*s - 4*s) - 4*s**2 + 0*s**2 + 2*s**2)*(0 - 6 - 1).\nAnswer: -56*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 631035 and 333.\nAnswer: 631035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.95 + -1.95. Put -2, 0.2, q in increasing order.\nAnswer: -2, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11535, -22756, -33655, -44232?\n\"Answer: 161*n**2 - 11704*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 224 = -2*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21022 + 1022010100?\nAnswer: 1022101122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -1\/7 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*q - 7*q - 35*q - 106*q - q to l + v*q and give v.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 9*b + 80. Let q be o(-15). Is (q\/(-6))\/((-17)\/(-1071)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/((-567)\/(-78)))\/(-4*(-7)\/(-28))\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66748388.00357 - -66748705. Let q = -317 + p. What is q rounded to 4 decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-37 - (29 + -9 + (-4 - 7)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 8344.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/78 and -3\/659.\nAnswer: 51402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40072 is divided by 13302.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (15 - -207)\/((-6)\/(-24)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4 + 7. Suppose -d + t = -3. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0 - 15. Suppose 7 = 2*f + m. What are the prime factors of 16 - (-1 + -1 + f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -100965123?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98420\/(-57))\/20*(-1368)\/(-1064)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, -4, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 31\/30 (b) -6 (c) -0.0863 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/35787 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((112\/336)\/(3\/(-144)*2))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11*o + 1. Determine s(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 greater than -1814606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, c: 4, l: 4}. Give prob of picking 2 c and 1 g.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 + 2377 = 10*s. Suppose -29*o + 19*o = -s. Calculate the least common multiple of 10 and o.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 15996 + 516 = 0. Calculate the smallest common multiple of 24 and 12\/(-21) - s\/126.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -280 + 105625?\nAnswer: 105345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1340662*-6.7\nAnswer: 8982435.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6.8, -3, 207, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**5*c)*c)**7\/((c\/c**(-6\/5))\/(c**(-4\/13)\/c)))**(-13) assuming c is positive.\nAnswer: c**(2048\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 11*c + 7. Suppose 4*h - 12 = 0, -2*h + 2 + 3 = f. Let i be (-7)\/f*24\/14. Let p be j(i). Put p, 5, -6 in decreasing order.\nAnswer: 5, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -3*x. Suppose 4*f + 5*r = 5*f + 10, x = 3*f + r - 18. Let o(k) = k**2 - 5*k - 6. Give o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/36*(-340)\/595)\/(24\/48)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x\/(x\/x**6)*x**(-1\/4)*x**(-2\/11)\/(x*x**4)*(x**(-2\/5))**(-16\/7)\/((x**(1\/3)\/x)\/(x\/x**(-3))) assuming x is positive.\nAnswer: x**(37649\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxzbx. Give prob of picking 1 b and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 23*i = -264576. What are the prime factors of (-10)\/(-4)*i\/(-240)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 3:36 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - (-2)\/8. Suppose -2*y - 2*k = 3*k + 9399985, s = 5*k - 15. Round y to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108246 divided by -736?\nAnswer: -54123\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d874 + 2?\nAnswer: 5d876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x = 80*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276.576 days in microseconds?\nAnswer: 283096166400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*l - 1328*l + 1206*l + 112920 = 0 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301301 (base 4) to base 9.\nAnswer: 16541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280.5 + -281. What is the second smallest value in -12, 2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + ((sqrt(88) - sqrt(88)*1*1)\/((sqrt(96) + (sqrt(96) - sqrt(96)*1))\/sqrt(12)) - (-2*sqrt(88)*4)\/(sqrt(288)*1))))**2.\nAnswer: 40*sqrt(11)\/3 + 401\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-206)\/6 + 2\/(-3). Let a(c) = -c**3 - 7*c**2 - c - 6. Let f be a(-7). Let l = f - w. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*a + 4 = 0. Let g = a + 2. Suppose 2*u - g*v - 16 = 0, -2*v = 3*v - 25. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*d + 12, -2*d + 5*m + 9 = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149 - -256. Suppose 13*y - 15*y + 210 = 0. Let q = x - y. Solve 0 = 5*z + q*n + n - 37, 0 = 4*z - n - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 242\/5 - (-6)\/(-90)*-9. Suppose -54*i = -y*i - 4*z - 20, -i - 3*z = -23. Solve 20 = 6*r + i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + y**2 - 2*y + 2. Suppose -16 = -4*a + 4*c, -4*a - 4*c + 0 = -16. Suppose 0 = 2*h + a*h - 156. What is the remainder when h is divided by z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -6. Let q = 4 - 5. Let s be (-4)\/6 + (-1)\/(-6). Which is the third biggest value? (a) s (b) l (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04063455 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**2 + 4*o - 1. Suppose 7 = -3*g - 2*h, 10 = 5*g - 51*h + 50*h. Calculate y(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/39)\/(((-2)\/30)\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-2)))\/o*o*o*o*o**(-2)*(o**(-1))**(-2\/17)*(o**(-6)*o\/(o\/((o*o\/(o*o**(-6)))\/o)))\/(o**(-7)\/(o\/o**(-2))) assuming o is positive.\nAnswer: o**(138\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 27*f**2 - 127*f - 195. What is v(23)?\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 + 3*n + 3. Let x be c(3). Suppose -114 - x = -2*m. Suppose -2*s + 1 + m = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*3 + sqrt(68))\/sqrt(2))\/sqrt(2).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2. Let s(r) = -2*r**2 - 201*r. Calculate s(i(m)).\nAnswer: -18*m**4 - 603*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 5*m - 1 - 4, 0 = -m - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 7*l**4\/24 - l**3\/2 - 5*l**2 + 5. Let u(s) be the second derivative of n(s). Determine u(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/7)\/(72\/(-42)). Let f = 0.1 + -0.03. Let g = 0.43 + f. Sort -4, g, n in descending order.\nAnswer: g, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g + 0*g)*((-9 - 8 - 15)*(-2 - 2 + 3) - 6 - 3 + 4 - 3 - 1 + 2).\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-5))\/((-1)\/(-15)). Suppose 0 = b + b + 3*h + 18, -f = b + h. Is 61\/3 + (-6)\/b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**5 + 13545*a**4 - 13705*a**3 - 420405*a**2 - 962260*a - 569100 = 0.\nAnswer: -2710, -3, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 15) to base 8\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6736379239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -163.62 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/4)\/((-12)\/(-18) + 40\/(-48)). Determine n so that -1\/4*n**2 - s*n - 9\/4 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 70*h - 133. Let x be n(37). Solve 4*p - 1 - x = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 20 = -5*c - 3, 0 = -5*k + 5*c + 25 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.3, -0.41, 1\/8, 4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1216)*-2)**2.\nAnswer: 4861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-4 + -2))*40\/(-100). Let l be ((-4)\/(-18) - (-469)\/(-126))*f. Solve -l = -0*j - 7*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from zzhcoozuzfozczfozzu?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/10)\/((-5)\/200*-5). Let k = -1.88 + -0.12. Which is the biggest value? (a) 11\/4 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4410*k - 4280*k = 0. Suppose 0*w - 30 = 5*w. Sort -3, 5, w, k in increasing order.\nAnswer: w, -3, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*d = -16, 4*n = -3*d + 139880 - 139894 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30198, -242026, -816996, -1936680, -3782650?\n\"Answer: -30262*h**3 + h**2 + 3*h + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 3*t - 3*t + (-t**3 + 4*t**3 + 30*t**3 + (-5*t + 0*t + 3*t)*(-1 + 1 + t**2))*(7*t**2 - 17*t + 17*t).\nAnswer: 219*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 2*s - 5. Let o(w) = -w**2 + 3*w - 5. Let q(a) = 5*o(a) - 6*u(a). Calculate q(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13)*j**(6\/13)*j)\/((j\/(((j\/(((j\/(j*(j**(3\/8)*j)\/j*j))\/j)\/j))\/j)\/j))\/(j*j*(j*j**(-5))\/j)) assuming j is positive.\nAnswer: j**(-1\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (100\/12)\/((-1)\/(-6))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3 - (-15)\/6). Suppose j*n - 4 + 112 = 0. Let y = n - -53\/2. What is the third biggest value in y, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 60208245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29477.\nAnswer: 7, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6996 + ((-6)\/15)\/((-9)\/90). What is l rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -522*z + 45*z - 331*z to the form f*z + s and give f.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 + 5*g. Let x be n(5). Suppose -6 = -a - x*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6))**3*(c\/(c*c**(-3\/10))*c)\/((c\/c**1*c)\/c))**(2\/27) assuming c is positive.\nAnswer: c**(-167\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from ycmbf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3944695 - 5\nAnswer: -3944700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.00156 in -15, -2\/9, -0.001?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -15 - 17 - (85 - (0 - 5))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804687 is divided by 686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**3 + 6921*u**2 + 69435*u + 173775 = 0. Calculate u.\nAnswer: -5, 2317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2761558*x - 5864251*x - 4601375*x.\nAnswer: -7704068*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 127635440 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1216) + -5)**2 + -1*sqrt(1216)*-2 - 6*sqrt(171)\/(sqrt(144)*-2 - sqrt(9))*-5.\nAnswer: -250*sqrt(19)\/3 + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooynznnoo. What is prob of sequence no?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6804 and 190452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/35 - (5 - 2). Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -714, -1434, -2154, -2874, -3594?\n\"Answer: -720*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 609224 and 323876?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 1\/10, -970?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/5 - 46*q**3\/5 + 286*q**2\/5 - 242*q\/5 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 - 15*o**2 - 9*o + 10. Let b be m(-4). Put 6, 656, b in increasing order.\nAnswer: b, 6, 656","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 11100011011011?\nAnswer: -11100011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -5*i - 25, -6 = 4*i + 2*x. Sort 0, i, -10 in ascending order.\nAnswer: -10, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 70*n**2 + 1695*n - 1595. Let h(y) = 5*y**2 + 121*y - 114. Let l(k) = -85*h(k) + 6*i(k). Let l(g) = 0. What is g?\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156*6\/(-72) + 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -125*h**2. Let w(l) = -11 + 79*l - 150*l + 77*l. Give u(w(q)).\nAnswer: -4500*q**2 + 16500*q - 15125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 2*f**3\/3 + 1849. Let a(b) = -134*b - 3. What is a(m(h))?\nAnswer: -268*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 + 29*z - 51. What is the tens digit of j(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(700) + 0 + -2 + (sqrt(700) - (1 + sqrt(700) + sqrt(700))) + (-6*sqrt(700)*-3*-4)**2)*1.\nAnswer: -20*sqrt(7) + 3628797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpuzppvnvcpppcpvpp. What is prob of picking 1 n, 1 u, 1 c, and 1 p?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7508 + -7507.93. Which is the second smallest value? (a) 2\/9 (b) i (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2. Let u(c) = -58*c**2 + 1952*c + 15. Let n(i) = 23*i**2 - 976*i - 6. Let q(s) = -5*n(s) - 2*u(s). Give q(g(j)).\nAnswer: j**4 - 976*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 8096.\nAnswer: 8095.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01884 and -198.\nAnswer: -197.98116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/1044 and -61\/60552.\nAnswer: 60552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1188099.59909 - -1188106. Let i = -6.4 + m. What is i rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.31. Let w = -172 - -168. Which is the nearest to l? (a) -3 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/12 - u**3\/3 + u**2 + 3*u. Suppose 3*n = 5*n - 8. Let x(o) = o - 1. Determine n*x(h) + 2*y(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-19\/5)*s**(3\/7)*s**(-2) assuming s is positive.\nAnswer: s**(-188\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, -12, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -7583543 and -7583544 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2898 by 414.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 41*y + 78. Let l = 638 - 680. Is 60 a factor of f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**2 + 2*f**2 + 6 - 1297*f + 1296*f. Let w(i) = -1. Give -6*w(o) - x(o).\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.11728ml?\nAnswer: 0.07411728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.8. Suppose 4*q = -430 - 146. Let i = q - -1294\/9. Which is the nearest to -1? (a) -3 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 1:13 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1813.5 + 1814. Which is the second biggest value? (a) -5 (b) 1.8 (c) -1\/4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 26 = k + 71, a = k + 17. What is the highest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17699299?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.2, -5, -162?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142359\/29 + 4909. Which is the fourth biggest value? (a) 1\/3 (b) -4 (c) 1\/4 (d) -17 (e) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4 - 2*n + 0 + 0. Let c = 17 + -11. Suppose -c*v + 26 + 4 = 0. Determine t(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f. Let j(p) = -102600347*p - 1. Calculate j(d(k)).\nAnswer: -307801041*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -1, -5292, 23 in ascending order.\nAnswer: -5292, -7, -2, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 2*f. Give s(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 220\/3. Let d(v) = -14*v - 3. Let b be d(4). Let w = -233\/4 - b. What is the third smallest value in w, 3, 1\/7, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.3 + 6.36. Let n = i - -0.9543. What is n rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 24 = 3*o, -f + 4*f + 21 = 3*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4779, 4836, 4817, 4686, 4407, 3944, 3261?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 944 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k = -1169 - 496. Solve -5*v - 12 = j, -k*j - 3 = 2*v - 36*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 4*k - 97 + 98, 0 = -10*c + 2*k + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4 + 0)*-4. Let u(k) = 0*k + k**v + k - k. Let o(p) = p - 1. Let i(j) = 2*j**2 + 6*j - 6. Let f(t) = -i(t) + 6*o(t). Determine f(u(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 98280?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4d91 (base 16) to base 9\nAnswer: -30213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590547075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 264702 a multiple of 314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 3*r + 41 + 171 - 104.\nAnswer: -2*r + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 less than 264.944814404?\nAnswer: 246.944814404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 912198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, -1, 2\/1559, -3\/5, -0.3, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, 0.06, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 + -2302\nAnswer: -2300.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6 + 1)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 380, 0.082?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384019194181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13013 divide 809413394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 12*j**2 - 2*j - 4. Let g be r(-12). What is the greatest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -48*g + 343. Give a(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/40 (b) 2\/7 (c) 0.121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m + 1938329 = 721241. Is 33 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-335 - -343) + 0 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 724 + -4683?\nAnswer: -3858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -103*w**2 - 1208*w. Let x(s) = -17*s**2 - 201*s. Let v(d) = -6*q(d) + 34*x(d). What is the second derivative of v(y) wrt y?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3)**19*(x\/(x*x\/(x*x**4)*x))**(-23))**(-40) assuming x is positive.\nAnswer: x**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103909.\nAnswer: 13, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.13 - 2.27. Let c = 14.3 + -9.44. Let n = c - d. What is the nearest to -2\/3 in n, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11826, 11815, 11804, 11793, 11782, 11771?\nAnswer: 11760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 20 = -13*q + 46*q. Sort 675, q, 3 in ascending order.\nAnswer: q, 3, 675","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -0.13891001496.\nAnswer: -0.33891001496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18921016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 589907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*c + 4*c, 4*f = c + 89. Calculate the lowest common multiple of (-8 - -7)\/((-2)\/f) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*s - 24, 2*v + 0*v = -5*s - 9. Suppose v*z + 2 = -10. Suppose 3*y + 3*x - 7*x = 3, -4*y = -4*x. Which is greater: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**3*j**(-1\/2)*j\/j**(-6)*j*(j**(-7)*j\/j**0*j)\/(((j*j**(-7))\/j)\/j*j**(3\/5)\/j) assuming j is positive.\nAnswer: j**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*a - 109*a + 484 = m, -4*m - 44 = 2*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212508 divided by -4.\nAnswer: 53127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6413 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37793 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:01 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 909, 3603, 8095, 14385?\nAnswer: 22473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + n**2 + 2*n. Let k = 8 - 5. Let t(f) = -2*f + f**3 + 4*f - k*f. Determine c(o) + 2*t(o).\nAnswer: o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 106 + f**2 + 1\/6*f**4 + 0*f + 1\/20*f**5 + 28\/3*f**3. What is the derivative of b(l) wrt l?\nAnswer: 6*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105845 != 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1006342*w - 1210 = 1006287*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from ppbyabpypbyubpppppp.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-7)\/(-3))*(-20178)\/76.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127.11 and -1?\nAnswer: -127.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*((-13)\/3 + -2). Let h(x) = 2*x**3 + 2*x**2 + 4*x - 1. Let s be h(4). Let n = s - d. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -73658 equal to -73663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 2*m**2 - m + 2. Give x(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34167307 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/25*(-6 + 1). Let g = 12 - v. Suppose -3*r - r - s = -32, -4*s - g = -r. What is the greatest common divisor of r and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -16, -2\/3, -1\/4, -12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/118, -3, 2\/11, 0.4, -3524?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 - -173171?\nAnswer: 17319a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 19)*(0*h + h - 2*h).\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 536 = 4*i. Let r(p) = 31*p - 51. Let l be r(8). Let d = l - i. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15152 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2673 - -2673.01. What is the second smallest value in i, -3\/2, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 1. Let r(y) = 16*y**2 + 14. Suppose -178 = 2*v + v + 5*f, 2*v + 5*f + 122 = 0. Let s(l) = v*p(l) - 4*r(l). Let o(q) = 4*q. Determine s(o(j)).\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 86. Let o be 1\/(-6) + s\/(-120). Let h = 0 - 0. Which is the nearest to h? (a) 5 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**9\/24 + 13*v**5\/30 + 13*v**2 - 27. Let j(b) be the second derivative of o(b). What is the third derivative of j(r) wrt r?\nAnswer: -2520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12276313 + 2?\nAnswer: -12276311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - v + 8444. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 26 - 29. Calculate the greatest common divisor of 27 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 14. Let y be p(-4). Solve 5 - y = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/5568690 and -34\/1736121?\nAnswer: 295140570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1376.94, -0.3, 0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, c: 9}. What is prob of picking 3 c?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**5\/150 + l**4\/20 - 2*l**3\/15 - 3*l**2\/2 + 4*l. Let i(z) be the first derivative of v(z). Find f such that i(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**7\/6 + 8*t**5\/5 + t**4\/12 - 3*t**3\/2 + 4*t - 7. Find the third derivative of a(l) wrt l.\nAnswer: 420*l**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46842*g + g**2 + 46842*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -f + 77, -f + 86 = 4*t - 3*f. Calculate the greatest common divisor of 16 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 2*t)*((5 + t - 5)*(6 - 2 - 2) - 1 + t + 1 - 2 - t + 2 - 6 - 13 - t + 5).\nAnswer: t**2 - 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7766*l - 225083. Give a(29).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74476677 a multiple of 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4386161?\nAnswer: 13, 337397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 147, 385, 785, 1431, 2407, 3797?\n\"Answer: 14*v**3 - 3*v**2 + 149*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 16 - (0 - -4). What is the greatest common factor of 64 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -3)*4 + -4*(sqrt(11) + 1))**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-14) + (-34254)\/(-2422). Let l be 331\/(-4)*(-4 + 0). Let r = -196 + l. Calculate the greatest common divisor of c and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknkkkknkknknnkk. Give prob of sequence nnk.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4074 and 485.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(-3)\/8*(-68)\/51. Suppose -l*u = -12*u + 18906. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-33))\/(5*15\/(-550))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -334829.\nAnswer: -334829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977335878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 99*r**3 - 62*r**3 + 38.\nAnswer: 37*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p. Let k(y) = -y - 2. Let s(a) = -1. Let o(u) = -k(u) + 2*s(u). What is -15*o(h) + 3*z(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4585 is divided by 209.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let n be 2\/(-1 - 1) + -1. Let y(u) = -u**3 + u**2 + 3*u + 2. Calculate the remainder when 14 + ((-1)\/1)\/(-1) is divided by y(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51514 is divided by 17046.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*q + 89836 = -94103. What are the prime factors of q?\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*f - 229333 = 304*f + 4*a, a = 4*f - 917422. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/7)*x)**(2\/111) assuming x is positive.\nAnswer: x**(20\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 1:26 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23413, -23420, -23439, -23476, -23537?\nAnswer: -23628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 75 = 55 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*y**3 + 27*y**3 + 20*y**3 - 54*y**3 + 14*y**3.\nAnswer: 87*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, l: 1, k: 1, n: 2, i: 1, a: 1}. Give prob of sequence lia.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -331499 (base 10) in base 6?\nAnswer: -11034415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 403, 1619, 3639, 6457, 10067, 14463?\n\"Answer: -s**3 + 408*s**2 - s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192014*b**3*d**2 + 2*b**3 - b**2*d**2 + 189*b**2*d - 253*b*d wrt d?\nAnswer: 384028*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (230\/(-80))\/(-23)*4. Let q(m) be the first derivative of 0*m - 11 + 1\/3*m**3 + a*m**2. Factor q(s).\nAnswer: s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*w**2 - 1 - 12*w**2 + 9*w**2 as a + o*w + c*w**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n + 58. Suppose 0 = 7*b - 22*b. Let u = -26 + 42. What is the remainder when p(b) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310473.\nAnswer: 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 29900*j**2 + 1173705*j = 0 for j.\nAnswer: -6019, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -31.6, 5\/2, 4, -1, 7\/6 in increasing order.\nAnswer: -31.6, -4, -1, 7\/6, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 992*y - 1040*y - 1248 = 0 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-969)\/57*(-4)\/17. Let q(v) = 2*v**2 - 10*v + 14. What is q(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + sqrt(180) + (sqrt(180)*-2)**2 + 3 + (sqrt(5) - sqrt(15)\/sqrt(3)) - sqrt(35)\/(sqrt(567)*-1).\nAnswer: 109*sqrt(5)\/9 + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3883 - 0?\nAnswer: -3883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -27. Suppose -287100 = 6*l + g*l. Round l to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*a + 18*a - 12, -30222 = -3*c - a. Is c a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26775, 53486, 80197, 106908, 133619?\nAnswer: 160330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63171?\nAnswer: 3, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*1\/(-3))\/((-2)\/12). Factor 2\/3*l**4 + 5\/3*l**3 - 1\/3*l + l**b - 1\/3.\nAnswer: (l + 1)**3*(2*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1172654, 2345140, 3517624, 4690106, 5862586, 7035064, 8207540?\nAnswer: 9380014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/25 + 33\/5. Let l = -98 - -97. Let u(j) = -j**3 - j**2 - 1. Let m(v) = -5*v**3 - 6*v**2 - 6. Give k*u(f) + l*m(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 654*d**2 - 15425*d + 73708264 with respect to d.\nAnswer: 1308*d - 15425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -25364 > 17881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 + g. Let o be f(-5). Suppose -2*i = -i + 4. Let s = o - i. Is -3 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(10\/24*(-189)\/315).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*k - v + 5*v, 4*k - v + 7 = 0. Let o(b) = b**2 - 8*b + 24. Let y be o(0). List the prime factors of k\/((-32)\/36)*y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 25, 5, -37?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/110 + 2*a**4\/11 - 2*a + 62. Let d(t) = 0. What is t?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 11771 - 4555. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.044367 to three dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15332 (base 8) in base 9?\nAnswer: -10377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -60. Calculate the lowest common multiple of v and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -13\/6*r**4 + 2 + 1\/6*r**5 + 1\/20*r**6 + 0*r - 143*r**2 + 8\/3*r**3. Factor v(w).\nAnswer: 2*(w - 2)*(w + 4)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20563652 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14 - 57021\/(-18942)) + -17 and -95\/3444.\nAnswer: 37884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j + 0*j - 2*j)*(-3276 - 52*j + 3276) + 2*j**2 - 4*j + 4*j in the form c*j + p*j**2 + r and give p.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 59290812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-195615)\/138)\/81)\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3510 and 18.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 2*w**2 - 2*w**2)*(-2 + 0 + 0) + 0*w**3 + 0*w**3 - w**3 + 40*w**3 + 22*w**3 - 3*w**3.\nAnswer: 56*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**5 + 183*u**4 + 3801*u**3 + 36381*u**2 + 165648*u + 291648 = 0.\nAnswer: -31, -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 1564*t + 106656.\nAnswer: 4*(t + 88)*(t + 303)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004192 rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8566194 divided by -109823?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72609272 - 19.9472.\nAnswer: 72609252.0528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2875962141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12\/19 - 46\/133. Let i be (-8)\/(-2) + (-4)\/1. Let q be (-2)\/4*2\/5. What is the nearest to i in x, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((10\/3 - 3)*-6). Let y be 3\/3*2 + f. Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/2*396\/(-330).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*m = -m - 15, o + 1 = -4*m. Solve -4*v = -5*j - o, j = -3*v - 11 - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 32, 48960 in increasing order.\nAnswer: -3, 5, 32, 48960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83183, -83203, -83239, -83297, -83383, -83503, -83663?\n\"Answer: -z**3 - 2*z**2 - 7*z - 83173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 + (1 + 2 - 1)*(2 - 2 - 1))*(2*p**2 + p**2 - 5*p**2) + 0*p**2 + 2*p**2 - 5*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11978*i**2*o - 5*i - 498*o - 5 wrt i.\nAnswer: -23956*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7682 is divided by 282.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iee when three letters picked without replacement from {i: 4, e: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 98 from -279.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) -0.14 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 4*a. Let m be t(8). List the prime factors of (m - 1)*(-6)\/9.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**2 - 8*z. Let c(a) = 6*a - 1. Let i be c(1). Let g(v) = i*v**2 + 25*v - 32*v + 3*v**2. Calculate 7*g(r) - 6*w(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8464, 1, -84, -5.\nAnswer: -8464, -84, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 - 234*m**3 + 1236*m**2 + 18378*m - 19383 = 0. Calculate m.\nAnswer: -7, 1, 13, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)*-2*(3 - -7). Suppose -2*o - v + 84 = 0. Calculate the lowest common multiple of 44 and o.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6799152, -13598293, -20397422, -27196533, -33995620, -40794677, -47593698?\nAnswer: -54392677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1134)\/(-2) + 8 + -11 + 1. Let h = j + 206. What are the prime factors of h?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*b + 10*b**2 - 23*b + 37*b to the form l*b + d + f*b**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1992?\nAnswer: -1\/996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 + 16*m + 11. Let n(t) = t**2 + 3*t + 2. Let v = -1 + 7. Let g be (3\/v)\/((-2)\/(-8)). Give g*y(r) - 11*n(r).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76595418*q**2 - 77972*q + 214 wrt q?\nAnswer: 153190836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 9276241.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1130121122 (base 4) to base 10.\nAnswer: -378458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c**7)\/(c\/(c*c**(-7))*c*c**(-4)) assuming c is positive.\nAnswer: c**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 145119 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2458 is divided by 804?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104 minus 5563?\nAnswer: -4459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65412 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -20, 5, 0.\nAnswer: -20, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/8 of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 17*j**2 - 21*j + 62. Let o be w(16). Let z(u) = -21 - 16 + 4 - u**2 - 20*u. Let a be z(o). Solve 0*p + a*p = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2933, -2995, -3057, -3119?\nAnswer: -3181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102167562 and 24?\nAnswer: 408670248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12 = -12. Let m = 4 + -4. Let l(r) = -2 + h + m + r - 1. Determine l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39746 and 9256.\nAnswer: 183944488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/1*36\/780*-13?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 583 and 1431.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 106853053598 and -2?\nAnswer: 106853053600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2236 - -5?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 17*r - 4 + r**2 + 12*r - 22*r. Let i be a(-5). Let q = 26 - i. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5394 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -759, -759, -757, -753, -747, -739, -729?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -1766187?\nAnswer: 1766185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 + -266. Let m be t\/28 + 3\/(-12)*3. Which is smaller: m or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 5*x - 3. Let l be u(-2). Suppose c - 4*w + 16 = 0, 3*c + 2*w + l*w - 20 = 0. Let f(i) = -i**3 - i**2 - i + 2. Determine f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 y when three letters picked without replacement from yyyyuvvyuyuu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28146779*z**4 - 23*z**2 - 1351249*z?\nAnswer: -675522696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 66\/20*-3*(-8)\/12. Let j = d - 577\/70. Find the common denominator of j and -3\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*m**2 + 4*f**3*m - 1008393*f + 5221008*m**2 wrt m.\nAnswer: 2*f**3 + 10442016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l**2)*(-68 - 14*l + 68)*(l**2 + 1 - 1).\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a microsecond in nanoseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -383555.45 rounded to the nearest 1000?\nAnswer: -384000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -t**7\/1470 - t**6\/168 - 12*t**2 + 2. Let j(a) be the second derivative of v(a). Factor j(p).\nAnswer: -p**3*(p + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0.2, -25, -3 in descending order.\nAnswer: 0.2, -2\/15, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -259618.03108 - -0.2?\nAnswer: -259617.83108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from {w: 5, r: 1, i: 5, p: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 13\/5, 9, -0.4, -4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/8, -3, 0.4, 2, -1\/2 in decreasing order.\nAnswer: 2, 0.4, -1\/2, -7\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(300)*-2 + (sqrt(36)*3)\/sqrt(12) - (sqrt(24) - (sqrt(24) - -1*sqrt(864)))\/(sqrt(968)*2)) + -2.\nAnswer: -184*sqrt(3)\/11 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-10))\/((-1)\/(-5)). Suppose -s = j*s + 6. Let c be 0 - s\/(-2) - -510001. What is c rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 123883429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1872) + sqrt(1872) + -1)**2 - (0 + -1*sqrt(1872))**2.\nAnswer: 96*sqrt(13) + 5620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/12))\/(r*r\/(r*r**(1\/2))*r) assuming r is positive.\nAnswer: r**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -343, 100, 9 in descending order.\nAnswer: 100, 9, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2 + 2*y + 3. Suppose 0 = -2*u - 4. Let q be r(u). Solve q*z = -4*k + 8, 4*k = -0*z - 5*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3042491 divided by 5?\nAnswer: -3042491\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102766179*l**2 - 112189816*l wrt l.\nAnswer: -205532358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/70 - (-598)\/2860.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*i + 9*i. Let c(r) be the first derivative of i*r**4 - 8*r + 0*r**2 + 1 + 11\/5*r**5 + 0*r**3. What is the first derivative of c(o) wrt o?\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 27*q + 26. Let l(w) = 13*w + 13. What is -5*l(x) + 3*o(x)?\nAnswer: 16*x + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((sqrt(192)\/sqrt(4) + sqrt(48))\/sqrt(6)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -457 - -459. Factor -1\/4*h**5 + 1\/4*h**a - 2*h - 1\/4*h**4 + 1 + 5\/4*h**3.\nAnswer: -(h - 1)**3*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-7) - 24\/(-84). What is the units digit of 180\/n*4\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*j - 4, 0 = -3*z + 2*j + j + 6. Let f(n) = 6*n - 3. What are the prime factors of f(z)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.145 - 0.423. What is p rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 935 + -930. Factor d*s**3 - 159*s**2 + 32*s**2 + 33*s**2 + 36*s**2 + 33*s**2.\nAnswer: 5*s**2*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44688 and 5012.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262908955 a multiple of 5065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**3 - h. What is j(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 6. Suppose 2*y + 10 = c, -c + y + 4 = 2*y. Let t be (-8)\/c - (4 + -6). What is the third biggest value in a, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2139 - 45.3019. Let y = t - -45. Round y to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (60\/(-24))\/(1*1\/(-2)). Let d(b) = -b**2 + 5*b + 4. Let a be d(n). Put a, -4, 1 in ascending order.\nAnswer: -4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*n - n + 5097 - 3729. What is the greatest common divisor of n and 7713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 12*w + 11. Let b be v(11). Let a be (-388*(2 + b))\/(-1). Suppose 378 = 2*g + t, -2*g - 2*g + a = -3*t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 divided by 80?\nAnswer: 161\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76, 303, 690, 1243, 1968, 2871?\n\"Answer: k**3 + 74*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7*v - 12 = 3*v, -2*f - 2*v = -18. Suppose 3*u = -3 + f. Let m(g) = 0*g - 10*g**3 + 2*g**2 + 4*g + 3 + 11*g**u. Give m(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 - 5 + 1 + 854*g**2.\nAnswer: 854*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130394 - 29338588\/225. Find the common denominator of m and 17\/75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/84 + (-3)\/(126\/(-24)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*i + 6. Let o = i + 2. Let w be (2\/3)\/((-12)\/18). Put -3, o, w in increasing order.\nAnswer: o, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1305211537.\nAnswer: 7, 186458791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Solve 0 = -2*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3612184 divided by -4?\nAnswer: 903046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141407 + 290397\/2. Let y = 18275698\/9 + -2026835. Let t = y - z. Calculate the common denominator of t and 57\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3858*m + 3871*m - 13669*m in the form v + q*m and give q.\nAnswer: -13656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 127 (c) 0 (d) 3 (e) -2109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppeppppppppppp. What is prob of sequence pe?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 4*f - 6. Give v(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 - 31. What is the remainder when r is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, a: 2}. What is prob of picking 2 q and 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12967\/9 or -0.1?\nAnswer: -12967\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9506*b**2*s**5 - 2*b**2*s**2 - 3*b**2 + b*s**2 - 277*s**6 + 5*s + 239 wrt s.\nAnswer: 570360*b**2*s**2 - 33240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 13 = 3*l, -4 = 2*n + 4*l - 26. Let c(k) = -2*k**2 - 15*k + 17. Let t be c(-8). Let o = t - n. Solve o*q + 5 - 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 1. Let l(a) = 13 + 8*a - 22 + 2*a**2 - a**2 + 0*a**2. Let n be l(-9). Suppose 5*k - 7 + 2 = n. Let o(c) = 7*c - 8. What is k*o(j) - 5*d(j)?\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -64*h - 26. Let x(v) = -191*v - 96. What is 7*g(n) - 2*x(n)?\nAnswer: -66*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 + -104 + 215 - (-20 + 1).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-34255)\/22165*(-22)\/8\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1300)*1 - (sqrt(1300) + -1*-3*sqrt(1300)))*1)**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*w + 259 + 262 + 22*w**2 - 773 + 254 as n*w + h*w**2 + q and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/(23\/(-138)). What is the second derivative of 3*c**m + c**3 - 8*c + 19*c**3 + 29*c wrt c?\nAnswer: 138*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056186171 rounded to 4 decimal places?\nAnswer: 0.0562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/300 and 133\/194160.\nAnswer: 970800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + z**2 - 1. Let m be y(-1). Let f(k) = k**2 - 8*k + 5. Let d be f(7). Is d <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 15 + 4*p**2 - 5*p**2 to the form r + v*p + o*p**2 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*a + 3193 - 183, 0 = 4*a. Suppose 5*v = -3*u + 22, -4*v + 286 = 3*u + 260. What is the highest common divisor of u and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.58*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -563, -907, -1911, -3905, -7219?\nAnswer: -12183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 3*c + 2. Let t be l(2). Calculate the greatest common factor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, s: 2}. What is prob of picking 3 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1906 = 2*k - 592, -k - 672 = 5*w. Is (-7)\/(333\/k - 31\/(-62)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l**2 + 3*l + 5. Let r(m) = -14*m**2 - 4*m - 6. Let x = -29 + 35. Let p(f) = x*t(f) + 5*r(f). What is the second derivative of p(k) wrt k?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j + 15*j + 196*j - 161*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2\/3*x**3 - 8\/3*x**4 - 10\/3*x + 8*x**2 - 4\/3 = 0?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2246307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i = -32*i + 7*n - 33, i - 3*n = -8*n + n + 18 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*d**2 + 255*d**2 - 504*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3950328 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2031010 (base 5) to base 14\nAnswer: -c195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3 - 4.21. Let g = w + -0.39. Let n = -4 + 6. Which is the second smallest value? (a) n (b) -1\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 + 4?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 3*d**2 + 180*d - 176*d.\nAnswer: 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -435*0.5.\nAnswer: -217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 8, -5\/6, -5\/2, -1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 18. Let w(u) = -u + 0*u**2 + 1 + u**2 - y - 6. Is w(8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 900 and 31275?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0213 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 445444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + t - 5*t)*(13 - 13 - 3*t) in the form h + p*t + s*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 24*u**3 - 2*u**2 + 13*u + 9. Let i(k) = -k**3 - 3*k**2 + 2*k. Let g be i(-3). Let p be a(g). What is the hundreds digit of (-6)\/27 - p\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 381 and 635?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1950 divide 62390250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 - 3*a**2 - 2*a - 2. Let l be z(-2). Solve 3*g - 4*m = 22, 5*m + l = 3*g + 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 5, e: 1, a: 2, m: 1, g: 6}. Give prob of sequence amya.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {n: 1, d: 1, q: 1, p: 1, t: 2, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200 - 1?\nAnswer: 100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.976031302 + 0.1.\nAnswer: 2.076031302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -3*i - 3*p, -1113*i - 1124*i + 2226*i + p + 58 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n. Let o(u) = 2*u + 2. Let q(i) be the first derivative of i + 8. Let r(h) = -o(h) + 2*q(h). Calculate t(r(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**5\/2 + 973*f**4\/2 + 52955*f**3 + 1375636*f**2 + 1323168*f = 0?\nAnswer: -56, -44, -1, 0, 1074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41542721 a multiple of 209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1336 = 24*g + 1242, -2*g + 2*q = -4*g + 5*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 27. Let i = y - -26. Let u = 5 + i. Which is the second smallest value? (a) u (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -305949 to the nearest 1000.\nAnswer: -306000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2. Let z(a) = -17*a + 14*a + 21*a. What is f(z(g))?\nAnswer: 972*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14755*o**3*v**2 - 78073*o**3*v + 12*o**3 - 75*o*v**5 wrt v?\nAnswer: -29510*o**3 - 1500*o*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3 + (sqrt(15)\/sqrt(3) - sqrt(5) - sqrt(5)) + -5)**2 + (sqrt(15)\/sqrt(3))**2 + -2 + sqrt(30)\/(sqrt(6) + (sqrt(6) - sqrt(6)*-2))).\nAnswer: 17*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 3*u + 21. Let o = -1 + u. What is the remainder when 21 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -176*f**2 + 375*f - 23. Let i = -77 + 127. Calculate the remainder when i is divided by q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 2. Let k(w) = -3*w + 3. Let b(j) = j - 8. Let u be b(13). Suppose -o = -f + 3*o + 16, -u = o. Give f*k(h) + 5*g(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 11:55 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 38*b**2 + b - 1. Let f be s(1). Suppose -5*y = 5*c - f - 72, -4*y - 5*c + 91 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -36*l - 127. Let m be g(-4). Solve -19*c = m - 17 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*-1 + (sqrt(19) - ((sqrt(684) + 6*sqrt(684))**2 + sqrt(19))).\nAnswer: -33516 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26923\/1794 - 15)*6. What is the second smallest value in -0.28, 1\/9, -2, h?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 7\/2*p**2 + 8*p + 1\/3*p**3 + 0. Let v(l) = 1. Give -6*v(k) + y(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-198)*(-1)\/(-10). Let c(x) be the third derivative of i*x**6 + 2\/9*x**4 + 0 + x**2 + 0*x - 4\/9*x**3 - 1\/18*x**5. Factor c(g).\nAnswer: 2*(g - 2)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/16 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5907 + -5902. Let r(z) = -z**2 + 6*z - 3. Let j be r(5). Solve -5*h - 4*u = -12, 5*h = u - k + j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701244913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-1)\/(-44)*1260\/(-21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.062 (b) 141605 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 45\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o = 216 - 414 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**8\/240 - p**6\/30 + 3*p**4\/2 - 29*p. Let k(z) be the third derivative of t(z). Find the second derivative of k(s) wrt s.\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48856.6 to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l**2 + 2*l + 44. What are the prime factors of o(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6.3. Suppose i - 15 = 3*o, -3*o - 4*i = o + 4. Let m = 232234 - 232230. What is the nearest to o in s, m, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 - 8 = 0. Let z = -2 - -1. Is 24 - 0 - (z + m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/468)\/(14\/(-4158))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5649, 5651, 5653, 5655, 5657, 5659?\n\"Answer: 2*l + 5647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001895 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60857.0000055962 + -60857. Round h to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248143 take away -433?\nAnswer: -247710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*i = 0, d = i + i + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -908*2.7.\nAnswer: -2451.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(((g*g*g\/((g*g**(-9)*g)\/g))\/g)\/g)\/g)\/g*g*g*g)\/(g*g**9))\/(g**(-3)\/(g*g\/(g**(-6\/5)*g))) assuming g is positive.\nAnswer: g**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - (-2)\/4. Suppose 3 = j - n. Let v be j\/6 + 46\/(-76). Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 2*n - 18. Let l(q) = -4*q**2 - 14*q - 76. Give -3*d(t) - l(t).\nAnswer: t**2 + 8*t + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184188986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -620 + 164. Let h = 77 + n. Let a = 42269\/8 + -5272. What is the common denominator of h and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-912)\/(-19) + 5643\/(-114)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 2*v - 1. Let i be b(1). Let g be (-75)\/(-5) - (0 - i). What is the highest common divisor of g and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17, 2\/9, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-40))\/(5\/(-90)) + (-196)\/20\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**7*v**(-2)*((v*(v*v\/v**(-2\/45)*v*v)\/v)\/v)\/v*v**(-26)*v)**(20\/9) assuming v is positive.\nAnswer: v**(-3052\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.42 - -3.38. Let x = 3.84 - o. Let g = x - 8.64. Round g to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 811741\nAnswer: 811740.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -88cb3a (base 13) to base 5\nAnswer: -1311231404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3382397 is divided by 1208.\nAnswer: 1205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 - 62. Suppose -g + i*h + 9 = 2, 0 = -2*g + 3*h + 9. Solve 18\/7*s**2 - 18\/7*s**4 + 2*s**5 - 10\/7*s**g - 4\/7*s + 0 = 0 for s.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-35)\/150)\/(-7)*8475\/36. Let h = -53\/8 + a. Find the common denominator of h and -167\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 10*s**2 + 13*s + 17. Calculate j(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.706 - -0.417. Round u to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 4 = -24*k. Suppose 2*u + k = 3*t, u + 0*u - 1 = 0. Solve -t = -2*s - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-195)\/18))\/((-2)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1581*o**2 + 3689*o**2 - 1309*o**2)*(1 + 2*o - 1)*(4 + 0 - 3) as i*o**2 + b*o + j*o**3 + n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 12:17 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 j when three letters picked without replacement from {i: 1, b: 4, m: 2, j: 2, a: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 - 2*k - 62. Let g(l) = -6*l**3 + 11*l**2 - 11*l - 309. Determine -4*g(p) + 22*u(p).\nAnswer: 2*p**3 - 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**3 - 69*d**2 + 4844*d - 43105. Calculate n(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1110 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203097, 203077, 203057, 203037, 203017, 202997?\nAnswer: 202977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3565 and 42895?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**0)*g)**(-44))**50\/((g**(-2)*g**(1\/2)\/g)\/((g*g\/(g\/g**0*g)*g)\/g**3)) assuming g is positive.\nAnswer: g**(-4399\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5810949367430 and -3?\nAnswer: 5810949367433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 68*y. Let h be j(2). Let t = h + -950\/7. Let s(i) = -i - 7. Let r be s(-6). Is t bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901 = -421*s + 783 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -34.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.01262 decades to millennia.\nAnswer: 0.8501262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 16, 40, 84, 154, 256, 396, 580?\nAnswer: 814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2 + 993*i - 59724 = 0. What is i?\nAnswer: 79, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-231) - (-2)\/7 - (-307 + 57976\/176)?\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 48*k**2. Suppose -6*f + 3*d = -3*f + 15, -4*f - 2*d = -4. Let s be j(f). Calculate the greatest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10 = 0, 0 = 49*n - 54*n + 5*m + 69855. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*1*sqrt(7) + sqrt(84)\/(sqrt(12)*2)))**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*u = u + 33, 10 = 2*u. Let k = c - 9. Calculate the remainder when 20 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 + 14455. Let v(w) = -712*w. Calculate k(v(g)).\nAnswer: -2534720*g**2 + 14455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20012202210 (base 3) to base 9\nAnswer: 205683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 63, 87, 129, 195, 291, 423?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**3 + 13*m**2 - 51*m - 13. Let s(w) = -4*w**3 - 6*w**2 + 25*w + 6. Let y(b) = 13*s(b) + 6*x(b). Find the second derivative of y(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -17, -8, 13, 46, 91, 148?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*l - 1689 - 764 - 3247 = 0 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {y: 6, e: 1, h: 2, k: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7651039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, -1, 308 in increasing order.\nAnswer: -1, 1, 2, 3, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 5*n - 16 = -3*s, -s - 23 = 4*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Suppose l - 6*l + 95 = -5*a, -m*a = 20. Suppose 0 = -3*p + 4*w + 675, -l = 5*w - 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**5*v**3 - 3*g**3*v**2 - g**3*v + 209*g**2*v**2 + 23*v**3 + 2*v**2 wrt g?\nAnswer: -600*g**2*v**3 - 18*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4333 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: Sort -4, -0.2, 0.2, -1, 20 in increasing order.\nAnswer: -4, -1, -0.2, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -251187 divided by 283?\nAnswer: -251187\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a, -14*a - 126 = 2*f - 18*a. Is -58 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2 - (10\/2 - 5)). Solve l*p + p = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 9 - 2)*((-2*m + 5*m - 2*m)*(-1 + 2 + 0) + (5 - 21 + 2)*(3*m + 7 - 7)).\nAnswer: 164*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7802557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) -90.708 (c) -0.1 (d) 1\/7 (e) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, j: 1, i: 7, a: 2, v: 2}. Give prob of sequence ad.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 286. Let q(t) = -2*t - 574. Calculate -9*c(y) - 4*q(y).\nAnswer: -y - 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -14, 5, -6 in increasing order.\nAnswer: -14, -6, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 - -12*5\/15. Suppose 2*h = 4*u + 12, -3*h = -5*h + 8. Sort u, -2, q, 0 in increasing order.\nAnswer: q, -2, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76a237 (base 12) in base 7?\nAnswer: -22004164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-880)\/(-9) - (-54)\/243.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/8 (b) -2\/27 (c) 4 (d) -5 (e) 876 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*b + 64, -5*b - x + 77 = 2*x. Suppose -292 = -5*i + b. Let s be (-6 - -3) + i\/21. What is the nearest to 0 in s, -0.7, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9393677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) 2.8 (b) 2\/3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*y = -24. Suppose -h - y = -5*h. What is the units digit of (3 - 0 - -1) + h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 3*q**2 - 6*q + 37. Calculate v(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v + 213. Let u be j(-52). Let n(r) = 8*r**3 + 3*r**2 + 4*r + 7. Let o(f) = 9*f**3 + 4*f**2 + 5*f + 8. Calculate u*n(k) - 4*o(k).\nAnswer: 4*k**3 - k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 10*i**2 - 2266*i + 553. Give f(-43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/2157 and -86\/105.\nAnswer: 75495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 30 - 45)*(g - 3*g + 0*g)*(2 - 1 + 1).\nAnswer: 224*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j*k**2 - 52*j*k*o + k**2*o*p**3 - k**2*o*p + 2*k**2 + 4*k*p**3 - 3*p**2 wrt o?\nAnswer: -52*j*k + k**2*p**3 - k**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 229 times 2\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3897333 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from bbbwknkkbwnbbkn?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8732.221 centuries in millennia?\nAnswer: 873.2221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/72 and 99\/19744.\nAnswer: 177696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 9. Let n be 6\/(-21) + (-304)\/g. Let w = 53 + n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -601 - -2?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjxxxffxfxfjjxj. What is prob of sequence xffx?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -dda3?\nAnswer: ddae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463268 is divided by 23163.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 7*d + 1. Let q be u(6). Let x be 2*(-1 - ((-4)\/8 - 1)). Put x, 5, 2, q in increasing order.\nAnswer: x, 2, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1919.3ms to microseconds.\nAnswer: 1919300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) -1063 (c) 21\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 469, 487, 517, 559, 613, 679?\n\"Answer: 6*z**2 + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24840, -29886, -34930, -39972, -45012?\n\"Answer: k**2 - 5049*k - 19792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 + 55. Let j be (-2)\/(-4) - (546\/r)\/13. Suppose -s = 4*u + 22, 4*u = 2*u - 5*s - 20. Sort j, 1, u in decreasing order.\nAnswer: j, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7102.423mg in micrograms?\nAnswer: 7102423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8519, 16741, 24673, 32315?\nAnswer: 39667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) 0 (b) -5 (c) 1\/2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42, 31, 20?\n\"Answer: -11*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erne when four letters picked without replacement from {v: 1, n: 1, r: 2, e: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + 8dbd2?\nAnswer: 8dbde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894366 divided by 4?\nAnswer: 947183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -53, -105, -159, -215, -273, -333?\n\"Answer: -k**2 - 49*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**8\/84 + 2*m**7\/21 - 7*m**6\/30 - m**5\/15 + 4*m**4\/3 - 8*m**3\/3 - 73*m**2 - 2*m. Suppose n(b) = 0. What is b?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 0 + 0 + (2 + 2 - 6)*(-2*l - 2*l + 3*l) - 4*l - 16*l + 3*l)*(-9 + 8 + 21)*(l - 5*l + 2*l) as k*l + j + o*l**2 and give o.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from {m: 5, q: 3, c: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51413.9936 less than 78.3?\nAnswer: -51335.6936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}